A Bibliography of Publications of Lloyd Nicholas Trefethen

Lloyd Nicholas Trefethen Cornell University Upson Hall Ithaca, NY 14853 USA Tel: +1 607 255 4222 FAX: +1 607 255 4428 E-mail: [email protected] (Internet) 14 February 2021 Version 2.84

Abstract [KMM96]. 1997 [HWG98].

This bibliography records publications of 20.-26 [CMW84]. 2000 [vdVDE+02]. 27 Lloyd Nicholas Trefethen. [FSR98].

5 [B¨ot06]. Title word cross-reference 75th [GOR+08].

$100 [Tre02a]. 107 [MT03]. $59.95 [Tre13b]. 80th [STW10]. z p Aα, log(A) [HHT08]. e [Tre84a]. ` 00 0 [Tre84e]. εy − xy + y = 0 [Tre20a]. xn 9 [Tre13b]. 978 [Tre13b]. [NT18]. 978-3-0348-0179-9 [Tre13b]. ’98 [ALM99].

-instability [Tre84e]. = [CMW82, CMW84].

0 [B¨ot06]. 0-691-11946-5 [B¨ot06]. AAA [NST18]. absorbing [DT96, TH86a, TH86b, TH88]. accuracy 100-Digit [GI02, Tre02c, BLWW04, Tre02a]. [Tre84a]. Acta [Ise99]. Adaptive [FNTB18]. 100-Dollar [GI02, Tre02c]. 14th [GW91]. adaptively [TT06]. Advanced 17th [HWG98]. 1980 [Ano80]. 1981 [DMLT84, DL85, LTS85, MN85, TLMD84, [CMW82]. 1982 [W+83]. 1983 TSL85, W+83]. Advances [VS84a, VS84b]. [CSW83, CMW84, GMSV84]. 1984 [VS84b]. AG [Tre13b]. aktuelle [SL13]. Algebra 1985 [MC87]. 1988 [MC90, MB88]. 1995

1 2

[TB97b, Tre90]. Algorithm birthday [GOR+08, STW10]. Block [NRT92b, NST18, NT20]. Algorithms [AT17a]. blocks [Tre84f]. Book [AKT14, MC87, MC90, PT09, MC87, MC90]. [Böt06, Cor16, Tre84b, Tre13b, Tre15b]. Analogue [RT11]. analogues [TT15]. bound [JT14]. boundaries Analysis [Ano80, BCC+79, SS03, TA84, [Tre85a, Tre85b]. boundary [DT96, Tre84c, Tre84b, ALM99, GW86, GW91, HWG98, Tre84d, TW86, TH86a, TH86b, TH88]. LT88, SS93, Tre92a, W+83, ALM99]. Bowles [Tre84b]. Braunlage [W+83]. Brief analyst [JT98, TJ98]. Analytic [KW02]. Bromwich [WT07b]. Buffon [AKT14, PTK11, Tre20c]. angle [HT88]. [WT94]. bugs [CLT11]. application [Tre80a, Tre81a]. Applications [MB88, SS03]. Applied [KMM96, Tre15b]. Cage [CHT15, Tre16b]. Calculation Approach [BET03, BET02]. Approximate [ADGP16, TT96a]. California [Ano80]. [ADGP16]. Approximation Carath‘eodory [CSW83, CMW82, CMW84, FNTB18, [GT82, GST83, ST08, TG83c, VT11]. card GGT13, GT94, NST18, PTK11, Tre77, [JT98, TJ98]. cards [TT00b, Tre11c]. Case Tre90, Tre13a, Tre17a, Cor16, GMSV84, [TS87, TS90]. CF GT82, GT83b, GT84, MC87, MC90, NT18, [HTG90, Tre83b, Tre84f, Tre86b, THG90]. NT20, PT09, ST08, Tre81b, Tre81c, Tre81d, chains [JT98, TJ98]. Challenge Tre83a, Tre83b, TG83c, TG83b, TG83d, [DHN+02, Kel02, Ker02a, Ker02b, MS02, TG83e, TG84, TG85, Tre86b, TG87, Tre17b, MBvG02, SWRG02, Tre02a, Tre02b, Tre02c, TNW21, VT11, CSW83, CSW86, Cor16]. BLWW04, Lau02, GI02, KW02]. Chastened Approximations [ST07, Tre84b, GT83a, [Tre02a]. Chebfun [DHT14, HT12, HT17, TG83a, Tre84a, TWS06]. PT10, RT11, TT13, WJMT15, PT09]. Approximationstheorie chebfuns [PPT10]. chebop [DBT08]. [CMW82, CMW84]. area [BT01]. Chebyshev [AT17b, GT82, GT83a, GT83b, Arithmetic [AT15]. Army [Ano80]. GT84, TT06, TT98, Tre77, Tre81b, Tre81c, Arnoldi [GT94, TT96a]. Arnoldi/Lánczos Tre81d, Tre83a, Tre83b, TG83a, TG83b, [GT94]. ARPACK [WT01b]. aspects TG83d, TG83e, TG84, TG85, TG87]. [W+83]. association [MB88]. asymptotic Chopping [AT17b]. Christoffel [Tre84a]. August [FSR98, W+83]. [Tre80b, BT03, BF81, DT02, HT90, Tre80a, automatic [DBT08]. Average Tre80c, Tre81a, Tre89a, TD98]. Circularity [TS87, TS90]. Average-Case [TS90]. [Tre83b, Tre81b, Tre81c]. Classical [ET86]. Clenshaw [Tre08, WT07a]. clustering B [BF81, Tre84b]. Barycentric [TNW21]. coefficient [Tre05]. coefficients [BT04b, FNTB18, WTG12, PT09]. Based [WT01a]. College [CSW83, MC87, MC90]. [AKT14, MC87, MC90, MB88]. Basel collocation [TT06]. Companion [Tre13b]. Behavior [TT94, Tre15b]. Competitions [SL11]. [Böt06, GT93, TE05, TG97]. behaviour Complex [TV96, Tre99c]. Berlin [FSR98]. best [SS03, TT00a, Tre77, GT83b, GT84, NT20, [GT83a, PT09, TG83a, Tre84a]. Bethlehem SS93, TT99, Tre81b, Tre81c, Tre83b, TG83b, [VS84b, VS84a]. better [Tre08]. beyond TG83d, TG83e, TG84, Tre13b, W+83]. [TTRD92]. bidiagonal [TCE01]. Biennial Computation [HWG98]. Bill [STW10]. Birkhäuser [Tre80a, Tre99a, WT01b, Tre80b, Tre80c]. [Tre13b]. Birkhäuser/Springer [Tre13b]. Computational [MB88, W+83]. 3 computations [EOS85]. Computed [HT17, TT13, DET87]. direction [TB06]. Computer [TTRD92]. discontinuities [Tre84e]. [Tre81a, TD98, VS84b, VS84a]. Computers discrete [RT90]. Discretizations [AT17a]. [Ano80]. Computing disk [GT83a, GT83b, Tre81d, Tre83a, [AT15, HHT08, ST07, TW06, Tre07, Tre15a, TG83a, TG83b, TG83d, Tre84a]. WT01a, PT10, WT07b]. Condition Dispersion [Tre86a, Tre84e]. dissipation [VT98, LT84]. Conditioned [Tre20a]. [Tre86a]. Do [GT93, TG97]. Dollar conditioning [Tre20c]. conditions [GI02, KW02, MS02, SWRG02, Tre02b, [TW86, TH86a, TH86b, TH88]. Conference Tre02c, Kel02, Ker02a, Ker02b, Lau02]. [Ano80, GW91, HWG98, MC87, MC90, Domain [TT00a, TT99]. Domains GMSV84, MB88, STW10, vdVDE+02]. [ET99a, GT84, TG84]. Dundee Conformal [ET99a, TW86, Tre86c, Tre20b, [GW91, HWG98]. dynamics [MB88]. GT19b, HT08, TA84, Tre86e, Tre93]. Congress [FSR98, KMM96]. Connected E. [BF81]. Editor [Kel02]. eigenmodes [ET99a]. constants [WT01a]. construction [TB06]. Eigenvalue [ET01a, Tre88]. [Tre93]. containing [Tre85a]. continuation Eigenvalues [AT15, HT01, RT92b, TR92b, [Tre20c]. Continuous TH97, RT90, TTRD92, TTRD93, WT88]. [BT04a, BET03, TT15, BET02]. Contour Eight [Tre20a]. eigs [WT01b]. Einblicke [ST07, HHT08, ST08]. Contours [SL13]. Einladung [SL13]. Elias [Tre13b]. [WT06, WT07b]. Convection Elimination [TS87, TS90, Tre85c]. [RTP93, RT94]. Convection-Diffusion elongated [HT90]. Embree [Böt06]. [RT94]. convergence [JT14, TG85]. Engineering [SS03, SS93]. EPSRC Convergent [TW14]. Copper [vdVDE+02]. [ALM99]. equally [TW91]. Equation Corner [GT19c]. Couette [TTR92]. CR [Tre20a, DT96, TW86]. equations [GT94]. Cubature [Tre17a]. current [DBT08, HT88, TH86a, TH86b, VS84b, [SL13]. Curtis [Tre08, WT07a]. curve VS84a, Tre84b]. equations-V [VS84a]. [Tre81b, Tre81c, Tre83b]. cutoff equioscillation [Tre84f]. Equispaced [JT98, TJ98]. [PTK11]. era [TD98]. Erratum [Tre80b]. error [JT14, Tre81c, Tre83b]. Euler Data [MC87]. decay [ET99b]. December [JT14, JT16]. Evaluating [ST08]. [GMSV84]. deck [TT00b]. dedicated evolution [TTR92]. Exploring [TBD18]. [GOR+08]. definition [Tre92a]. Exponential [TNW21, ST08]. degeneracy [TG85]. derivative [TW86]. Exponentially [TW14, Tre20a]. Extension design [GST83, TA84]. Determine [BT04a, TT13, WJMT15]. extrapolation [GT93, TG97]. Difference [Tre82a, Tre82b, [WTG12]. Tre84e, Tre84c, Tre84d, Tre85a, Tre85b]. differential [DBT08, Tre05, VS84b, VS84a]. factorizations [TT15]. Faraday differentiation [WT88]. Diffusion [CHT15, Tre16b]. Fast [RTP93, RT94]. Digit [NRT92a, PTK11, TW06]. February [DHN+02, GI02, KW02, MS02, SWRG02, [Ano80]. Fejér Tre02b, Tre02c, BLWW04, Kel02, Ker02a, [GT82, GST83, ST08, TG83c, VT11, WT07a]. Ker02b, Lau02, Tre02a, Tre11b, Tre13c]. Fibonacci [ET99b]. Field [Ano80]. Fifth digital [GST83]. dimensional [VS84b, VS84a]. filter [GST83]. Filters [BT97, TB97a]. Dimensions [AT15]. Finite [Tre82a, Tre82b, Tre84e, 4

Tre84d, Tre85a, Tre85b]. finite-difference Hypercube [Tre17a, Tre17b]. [Tre85a, Tre85b]. Florida [GMSV84]. flow [DET87, ET86, MT03, Tre94, TTS99]. flows ICIAM [KMM96]. Ideal [DET87]. II [TTR92]. fluid [EOS85, MB88, TP90]. [MC90, ADGP16]. III [MB88]. Ill formula [JT14]. formulas [HT08, WTG12]. [TH88, Tre20a, Tre20c]. Ill-Conditioned Forschung [SL13]. forty [Tre11c]. Four [Tre20a]. ill-conditioning [Tre20c]. [CLT11]. Fourier [LT88, Tre84b]. Fourth Ill-posedness [TH88]. IMA [MC87]. [KT05]. Fourth-Order [KT05]. free [ET86]. IMACS [VS84b, VS84a]. implementation free-streamline [ET86]. fully [RT90]. [VT11]. Impossibility [PTK11]. index Function [AKT14, RT11, ST07, BT01]. [Tre11c]. Industrial [KMM96]. Infinity Functions [BT04a, ET99a, FJT19, GT19c, [BET03, BET02]. influence [BF81]. initial MC87, PTK11, Tre20b, WJMT15, GT19b, [Tre84c, Tre84d]. initial-boundary [Tre84c]. HHT08, JT14, ST08, Tre07, Tre13b, Tre15a]. insights [SL13]. Instability Fundamentals [SS93, SS03]. [Tre84c, Tre84d, TT87, Tre84e, TTR92]. instead [Tre07, Tre15a]. Institute Gamma [ST07]. Gateway [ET01b]. Gauss [MB88, W+83]. instruments [HT01, TH97]. [Tre08]. Gaussian integral [WT07b]. Integrals [ADGP16, FJT19, Tre85c, TS87, TS90]. [ST07, HHT08, ST08]. integrators [ST08]. Gene [GOR+08]. General [TT00a, TT99]. interfaces [Tre85a]. International Generalizing [ET01a]. geometric [JT14]. [CSW83, FSR98, KMM96, MC90, VS84b, German [SL13, Tre13c]. Germany VS84a]. interpolants [JT16]. [KMM96, W+83]. GMRES Interpolation [AT17c, BT04b, GPT11, [GT94, NRT92b]. GMRES/CR [GT94]. GMSV84, TW91, Tre11a, WTG12]. Golub [GOR+08]. graduate [ALM99]. interpretation [Tre83c]. interval Green [ET99a]. Gregory [JT16]. grid [GT83b, TG83b, TG83d, TG83e]. [TT06]. Group [Tre82a, Tre83c]. Growth Introduction [ET99b]. Guide [Tre00d, Tre00e, Tre02d, Tre13b]. Inverse [BCC+79, DHT14, Tre89b, ALM99]. [Tre16a]. Inversion [WT06]. Invitation Gustafsson [Tre83c]. [SL11, SL13]. ISBN [Böt06, Tre13b]. Isotropy [Tre17a]. issue [Tre86e]. iteration Hadamard [TV96]. Hamburg [KMM96]. [LT88, TT96a]. Iterations Harz [W+83]. held [DTT98, NRT92a, TDTxx]. IV [CSW83]. [CSW83, GMSV84, KMM96, MC87, MC90, MB88, VS84b, VS84a, W+83]. Helmholtz J [Tre84b]. Januar [CMW82]. January [GT19a]. Householder [Tre10]. Hundred [CSW83, CMW82]. jet [DET87]. July [DHN+02, KW02, Kel02, Ker02a, Ker02b, [KMM96, MC87, MC90, W+83]. June Lau02, MS02, SWRG02, Tre02b]. [GW91, HWG98, VS84b, VS84a]. Hundred-Digit [KW02, MS02, SWRG02, Tre02b, Kel02, Ker02a, Ker02b, Lau02]. kind [PT10]. Kingdom [GMSV84]. kink Hundred-Dollar [KW02, MS02, SWRG02, [WT07a]. Kreiss Tre02b, Kel02, Ker02a, Ker02b, Lau02]. [LT84, TT99, TT00a, Tre83c, WT94]. Hybrid [NRT92b]. Hydrodynamic [TTRD93, TTRD92]. Hyperbolic L. [Cor16]. Lagrange [BT04b]. Lánczos [Tre84b, Tre84c, Tre84d, Tre85b, WT07b]. [GT94]. Laplace 5

[GT19a, GT19c, TW86, Tre18, WT06]. [STW10]. mostly [BDT95]. Mountain Large [EOS85, WT01b]. Large-Scale [vdVDE+02]. MR3380576 [Tre15b]. [WT01b, EOS85]. Lax [RT90, Tre88]. MultiMATLAB [TT+96b, TMC+99]. Lax-stability [RT90, Tre88]. least [GPT11]. Multiple [TMC+99, TT+96b]. Multiply least-squares [GPT11]. lecture [ALM99]. [ET99a]. Multipole [BT03]. Multivariate Lehigh [VS84b, VS84a]. Letter [Kel02]. [Tre17b]. musical [HT01, TH97]. mysteries Library [BCC+79]. Linear [Tre85c]. myths [Tre11a]. [NRT92b, TB97b, Tre97, BDT95, Tre90, TTR92, Tre96]. Linearized [MT03]. lines N [Böt06, Cor16]. NAPLUG [BCC+79]. [RT92a, TR92a]. Lloyd [Böt06]. NATO [W+83]. Navier [TTR92]. Near localization [TCE01]. looks [JT98, TJ98]. [Tre81b, Tre81c]. Near-circularity Low [BT97, TB97a]. Low-dimensional [Tre81b, Tre81c]. needle [WT94]. node [BT97, TB97a]. Lyapunov [WT01a]. [TNW21]. non [Tre99c]. non-normal [Tre99c]. Nonhermitian [Tre06]. M [CSW83]. Maclaurin [JT14, JT16]. Nonnormal [Böt06, TE05]. many [TT00b]. Mapping Nonsymmetric [NRT92a, NRT92b]. [BT03, ET99a, Tre86c, Tre20b, DT02, TA84, Nonuniqueness [GT83a, TG83a]. normal TW86, Tre86e, Tre89a, TD98]. maps [Tre99c]. notes [ALM99, Tre11c]. number [GT19b, HT08, Tre93]. March [MT03]. Numbers [VT98, Tre07, Tre15a]. [CMW84, MB88]. Mark [Böt06]. Markov numerica [Ise99]. Numerical [JT98, TJ98]. März [CMW84]. [Ano80, AKT14, BT01, BCC+79, CMW82, Mathematicians [FSR98]. Mathematics CMW84, GW86, GW91, Tre80b, Tre80c, [CHT15, KMM96, MB88, SL11, BF81, SS93, Tre84b, Tre86c, Tre93, TB97b, Tre20b, SL13, Tre11c, Tre15b]. Mathematik [SL13]. ALM99, HT12, JT98, MB88, PT10, Tre86e, MATLAB Tre90, Tre92a, TJ98, HWG98, MB88]. [BT04a, Tre86b, TT+96b, TMC+99, Tre00a]. numerically [Tre07, Tre15a]. Numerische Matrices [CMW82, CMW84]. [AT15, BET03, Böt06, TT94, TE05, VT98, BET02, RT92b, TR92b, Tre92b, Tre99c, Oberwolfach [CMW82, CMW84]. oblique TCE01, TC04, WT88, WT02]. Matrix [TW86]. obstacle [ET86]. occasion [DTT98, GT93, GT94, LT84, NRT92a, [GOR+08]. ODEs [FJT19, HT93, TBD18]. TT98, TT00a, TV96, HHT08, ST08, TT99, omitted [BT01]. one TT15, TG97, TDTxx, WT94]. mechanics [HT88, Tre85b, TH86a, TH86b]. one-way [EOS85, TP90]. Method [HT88, TH86a, TH86b]. Operator [BT03, BT05, GT82, GST83, RT92a, TT06, [RTP93, RT94, TTR92]. Operators Tre83b, TG83c, TR92a, VT11]. Methoden [AT17a, BT04a, BET03, Böt06, Tre97, TE05, [CMW82, CMW84]. Methods BET02, Tre96, Tre99c, Tre05]. Optimizing [CMW82, CMW84, TT87, Tre00a, MB88, [WT06]. Order [KT05, WT88]. organized RT90, Tre88, VS84b, VS84a]. migration [MB88]. other [JT98, TJ98]. Oxford [TH88]. Military [MC87, MC90]. Minimax [Böt06, MB88]. [FNTB18, NT20]. Misjudged [Tre02a]. model [BDT95]. models [BT97, Tre84c, packet [TC04, Tre05]. Padé Tre84d, Tre85a, Tre85b, TB97a]. modified [GGT13, Tre84f, TG85, TG87]. pages [HT90]. Moffett [Ano80]. Morton [Böt06]. Parabolic [WT07b]. partial 6

[VS84b, VS84a]. Particular [BT05]. PDEs Quadrature [ADGP16, AT17c, HT08, [KT05, TNW21]. Pennsylvania HT12, Tre08, Tre11a, TNW21, WT07a]. [VS84b, VS84a]. people [Tre11c]. Periodic quadratures [TWS06]. Quantifying [WJMT15, JT14]. Perspectives [Tre20a]. [Tre20c]. quasimatrix [Tre10]. questions Perturbed [AT17c]. phase [Tre13b]. [TP90]. Phenomenon [TT87, JT98, TJ98, WT07a]. physical [BF81]. Piecewise R [Tre84b]. Random [BET02, BET03, PPT10]. [FJT19, VT98, ET99b, TCE01, WT01a]. Piecewise-smooth [PPT10]. pipe randomize [TT00b]. Rational [MT03, Tre94, TTS99]. planar [TB06]. [AT15, FNTB18, GT19c, NST18, NT18, Plane [Tre77, TTR92]. Points ST07, Tre81d, Tre20b, GPT11, GT19b, [AT17c, TT06, TW91]. Poiseuille GT83a, GT84, NT20, TT06, TG83c, TG83a, [TTR92, Tre94, TTS99]. polygon [TW86]. TG83e, Tre84a, TG84, TG85, TWS06, polygonal [ET86, TA84]. Polygons [BT03]. TNW21, VT11, GMSV84]. Reading [MB88]. polynomial Real [AT15, GT82, GT83b, GT84, TG83b, [GT82, PT09, TW91, Tre11a, Tre17b]. TG83d, TG83e, TG84, NT20, TG83c]. Polynomials [TT94, TT98, Tre77]. rectangle [CLT11]. rectangular [WT02]. portraits [Tre13b]. posedness recurrences [WT01a]. recursive [GST83]. [TH86a, TH86b, TH88]. Potential reducibility [TV96]. regions [DTT98, TDTxx]. pp [Tre13b]. Practice [HT90, RT90, TB06]. related [HHT08]. [Tre13a, Cor16]. Preface [GOR+08, Tre86d]. Remez [PT09]. Representation [GT19b]. Press [Böt06]. Princeton [Böt06, Tre15b]. Representations [FNTB18]. Research problem [BT01, WT94]. Probleme [SL11, SL13]. resistors [TA84]. resolvent [Tre13c]. Problems [LT84]. results [TW91]. Review [DMLT84, DL85, GT19c, GT94, LTS85, [Böt06, Tre84b, Tre99d, Tre99e, Tre99f, MN85, TLMD84, TSL85, Lau02, Tre84c, Tre99g, Tre00b, Tre00c, Tre01a, Tre01b, Tre84d, Tre11b, Tre13c, Tre18]. Tre01c, Tre01d, Tre02e, Tre02f, Tre02g, proceedings [CSW83, GMSV84, GW91, Tre02h, Tre13b, Cor16, Tre00d, Tre00e, HWG98, KMM96, MC87, MC90, MB88, Tre02d, Tre15b]. Reviving [BT05]. VS84b, VS84a, W+83, Ano80, FSR98]. Reynolds [MT03]. Robust Processes [FJT19]. Processors [GPT11, GGT13, VT11]. Roots [AKT14]. [TMC+99, TT+96b]. products [TV96]. Royal [MC87, MC90]. Rule Program [BCC+79]. programs [Tre86b]. [TW06, TW14, JT14]. Propagation [Tre82b]. pseudo [RT90, RT92b, TR92b]. Samples [PTK11]. Scale [WT01b, EOS85]. pseudo-eigenvalues Schemes [Tre82a, Tre82b, Tre84e]. School [RT90, RT92b, TR92b]. pseudomodes [ALM99]. Schwarz [TC04, Tre05]. Pseudospectra [Tre80b, BT03, DT02, HT90, Tre80a, Tre80c, [Böt06, DT96, ET01a, ET01b, GT93, RT94, Tre81a, Tre89a, TD98]. Science TT94, TTR92, Tre92b, Tre96, Tre97, Tre99b, [MC87, MC90, SS03, SS93]. sciences [BF81]. TE05, WT01b, WT02, TT96a, Tre94, TG97, Scientific [TW06]. SCPACK [Tre89b]. Tre99a, Tre99c, TTS99, TCE01, Tre06]. Second [MC90, WT88]. second-order Pseudospectrum [RTP93]. Pseudozeros [WT88]. sequences [ET99b]. Series [TT94]. [AT17b, Tre18]. sharpness [Tre83b]. 7

Shrivenham [MC87, MC90]. shuffles [CSW83]. Theorem [TT00b]. shuffling [JT98, TJ98]. SIAM [TT00a, TT99, WT94, LT84]. Theorems [BLWW04, GI02, KW02, Ker02b, MBvG02, [ET01a]. Theory [CMW82, CMW84, Tre02c]. Sides [BT03]. Sinc [RT11]. DTT98, Tre13a, BT01, CSW83, CSW86, Singularities [GT19c, TNW21]. Six Cor16, Tre83c, Tre90, TDTxx]. Third [DTT98, Tre11a, TDTxx]. slow [KMM96]. Thousands [BT03]. Three [BET02, BET03]. Smooth [HT17, Tre85c]. Time [KT05]. [FJT19, PPT10, WT01a]. softcover Time-Stepping [KT05]. Toeplitz [Tre13b]. Solution [Ker02a, Ker02b, BT01, [BET02, BET03, RT92b, TR92b, TC04]. DBT08, TW86, Tre18]. Solutions Transform [WT06]. transformation [BT05, DMLT84, DL85, DHN+02, GI02, [HT90, Tre80b, Tre80c, Tre81a]. KW02, Lau02, LTS85, MN85, MS02, transformations [Tre80a]. transformed TLMD84, TSL85]. solve [SWRG02]. [TT06]. transition [BDT95, BT97, TB97a]. solvers [GT19a]. Solving [GT19c]. Some Trapezoid [TW06]. Trapezoidal [TP90]. SOR [LT88]. spaced [TW91]. [TW14, JT14]. Trefethen Special [Tre86e, GOR+08]. Spectra [Böt06, Cor16, Lau02, Tre11c]. Triangular [Böt06, Tre94, Tre99b, Tre99c, TTS99, [VT98]. triangularization [Tre10]. TCE01, TE05]. Spectral [AT17a, TT87, Trigonometric [AT17c]. turbulence Tre00a, RT90, TT06, Tre88, WT88]. [BDT95, BT97, TB97a]. twisted [TC04]. Sponsor [Tre02a]. Springer [Tre13b]. Two [TT13, TW91, DET87, Tre85a, Tre85b]. Square [Tre84f]. squares [GPT11]. Type [ADGP16]. Stability [RT92a, Tre82b, Tre85a, Tre85b, TS87, TS90, TR92a, WTG12, RT90, Tre83c, unanswered [TP90]. unifying [JT14]. unit Tre86a, Tre88, TTRD92, TTRD93, RT90]. [GT83a, GT83b, Tre81d, Tre83a, TG83a, Stable [PTK11, TG87]. States [GMSV84]. TG83b, TG83d]. unitary [TV96]. United Station [CSW83]. Stepping [KT05]. Steps [GMSV84]. Unity [AKT14]. univalent [DTT98, TDTxx]. Stiff [KT05]. Stiffness [BT01]. Universities [MB88]. University [HT93]. Stokes [TTR92]. streamline [Böt06, CSW83, VS84b, VS84a]. USA [ET86]. student [ALM99]. Study [W+83]. [VS84b, VS84a]. User [BCC+79, Tre89b]. subcritical [BT97, TB97a]. Summer Using [ST07, WT01b]. [ALM99]. Sums [ADGP16]. Sundström [Tre83c]. Surprises [Tre16b]. Survey V [VS84b, CSW86, VS84a]. value [Tre99d, Tre99e, Tre99f, Tre99g, Tre00d, [Tre84c, Tre84d]. Values [AKT14]. variable Tre00e, Tre00b, Tre00c, Tre01a, Tre01b, [Tre05]. Velocity [Tre82a, Tre83c]. via Tre01c, Tre01d, Tre02d, Tre02e, Tre02f, [ET99a, FNTB18, GGT13, GT19c, RT90, Tre02g, Tre02h]. SVD [GGT13]. ST08]. Vichnevetsky [Tre84b]. VIII Symmetric [AT15]. Symposium [ALM99]. Visual [Tre13b]. volume [CSW83, VS84b, VS84a]. system [GOR+08]. vs [GT84, TG83e, TG84, Tre88]. [DBT08, PT09]. Systems [NRT92b, Tre06]. Walsh [Tre84f]. Wave [Tre82b, TC04, table [HTG90, THG90]. tables [Tre84f]. Tre05, DT96, HT88, TH86a, TH86b]. way Tagung [CMW82, CMW84]. Talbot [HT88, TH86a, TH86b]. Wegert [Tre13b]. [TWS06, WT06]. Tampa [GMSV84]. Ten Well [TH86a, TH86b]. Well-posedness [Tre11b, Tre13c]. Ten-digit [Tre13c]. Texas [TH86a, TH86b]. Wide [HT88]. REFERENCES 8

Wide-angle [HT88]. without [TTRD93]. series in computational mathe- words [Tre11c]. work [BF81]. Workshop matics. Springer-Verlag, Berlin, [CMW82, CMW84]. Germany / Heidelberg, Ger- many / London, UK / etc., 1999. xiv [Tre13b]. xvii [Böt06]. ISBN 3-540-65752-5. ISSN 0179- 3632. LCCN QA297 .E57 1998. years [Tre11c]. Yogiisms [Tre16a]. Anonymous:1980:PAN Zehnstellige [Tre13c]. [Ano80] Anonymous, editor. Proceed- ings of the 1980 Army Nu- merical Analysis and Computers References Conference, Moffett Field, Cal- Area:2016:ACS ifornia, February 20–21, 1980, ARO Rep. 80. U.S. Army Re- [ADGP16] Iván Area, Dimitar K. Dimitrov, search Office, Research Triangle Eduardo Godoy, and Vanessa G. Park, NC, USA, 1980. ISBN Paschoa. Approximate calcula- ???? LCCN ???? Six mi- tion of sums II: Gaussian type crofiches. quadrature. SIAM Journal on Austin:2015:CER Numerical Analysis, 54(4):2210– 2227, ???? 2016. CODEN SJ- [AT15] Anthony P. Austin and Lloyd N. NAAM. ISSN 0036-1429 (print), Trefethen. Computing eigen- 1095-7170 (electronic). values of real symmetric matrices with rational filters in Austin:2014:NAB real arithmetic. SIAM Journal on Scientific Computing, 37(3): [AKT14] Anthony P. Austin, Peter Kra- A1365–A1387, ???? 2015. CO- vanja, and Lloyd N. Trefethen. DEN SJOCE3. ISSN 1064-8275 Numerical algorithms based on (print), 1095-7197 (electronic). analytic function values at roots of unity. SIAM Journal on Aurentz:2017:BOS Numerical Analysis, 52(4):1795– [AT17a] Jared L. Aurentz and Lloyd N. 1821, ???? 2014. CODEN SJ- Trefethen. Block operators and NAAM. ISSN 0036-1429 (print), spectral discretizations. SIAM 1095-7170 (electronic). Review, 59(2):423–446, ???? Ainsworth:1999:GSG 2017. CODEN SIREAD. ISSN 0036-1445 (print), 1095-7200 [ALM99] M. Ainsworth, Jeremy Levesley, (electronic). and Marco Marletta, editors. Aurentz:2017:CCS The graduate student’s guide to numerical analysis ’98: lecture [AT17b] Jared L. Aurentz and Lloyd N. notes from the VIII EPSRC Trefethen. Chopping a Cheby- Summer School in Numerical shev series. ACM Transac- Analysis, volume 26 of Springer tions on Mathematical Software, REFERENCES 9

43(4):33:1–33:21, March 2017. on Matrix Analysis and Applica- CODEN ACMSCU. ISSN 0098- tions, 24(2):484–489, 2002. CO- 3500 (print), 1557-7295 (elec- DEN SJMAEL. ISSN 0895-4798 tronic). (print), 1095-7162 (electronic).

Austin:2017:TIQ Bottcher:2003:PCT

[AT17c] Anthony P. Austin and Lloyd N. [BET03] Albrecht Böttcher, Mark Em- Trefethen. Trigonometric inter- bree, and Lloyd N. Trefethen. polation and quadrature in per- Piecewise continuous Toeplitz turbed points. SIAM Journal on matrices and operators: Slow Numerical Analysis, 55(5):2113– approach to infinity. SIAM 2122, ???? 2017. CODEN SJ- Journal on Matrix Analysis NAAM. ISSN 0036-1429 (print), and Applications, 24(2):484– 1095-7170 (electronic). 489, April 2003. CODEN SJ- Bolstad:1979:NAP MAEL. ISSN 0895-4798 (print), 1095-7162 (electronic). URL + [BCC 79] J. H. Bolstad, T. F. Chan, http://epubs.siam.org/sam- W. M. Coughran, Jr., W. D. bin/dbq/article/37697. Gropp, E. H. Grosse, M. T. Heath, R. J. LeVeque, F. T. Butzer:1981:BCI Luk, S. G. Nash, and L. N. [BF81] Paul Leo Butzer and F. (Franziska) Trefethen. Numerical analy- Fehér, editors. E. B. Christof- sis program library user’s guide fel, the influence of his work (NAPLUG). User Note 82, on mathematics and the physi- SLAC Computing Services, cal sciences. Birkhäuser, Cam- Stanford, CA, USA, 1979. bridge, MA, USA; Berlin, Ger- First issued in 1976 by Chan, many; Basel, Switzerland, 1981. Coughran, Heath, and Luk. ISBN 3-7643-1162-2. LCCN Baggett:1995:MLM QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 1981. URL https: [BDT95] Jeffrey S. Baggett, Tobin A. //link.springer.com/book/ Driscoll, and Lloyd N. Tre- 10.1007/978-3-0348-5452-8. fethen. A mostly linear model of transition to turbulence. Physics Bornemann:2004:SDC of Fluids, 7(4):833–838, ???? 1995. CODEN PHFLE6. ISSN [BLWW04] Folkmar Bornemann, Dirk Lau- 1070-6631. rie, Stan Wagon, and Jörg Wald- vogel. The SIAM 100-digit Bottcher:2002:PCT challenge. Society for Indus- [BET02] Albrecht Böttcher, Mark Em- trial and Applied Mathemat- bree, and Lloyd N. Trefethen. ics, Philadelphia, PA, USA, Piecewise continuous Toeplitz 2004. ISBN 0-89871-561-X matrices and operators: slow ap- (paperback). xii + 306 pp. proach to infinity. SIAM Journal LCCN QA297 .S4782 2004. REFERENCES 10

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//epubs.siam.org/sam-bin/ Collatz:1984:WNM dbq/article/43733. [CMW84] L. (Lothar) Collatz, Günther Chapman:2015:MFC Meinardus, and H. (Helmut) [CHT15] S. Jonathan Chapman, David P. Werner, editors. Workshop Hewett, and Lloyd N. Tre- on Numerical Methods of Ap- fethen. Mathematics of the proximation Theory, Oberwol- Faraday cage. SIAM Review,57 fach, March 20–26, 1983 = (3):398–417, ???? 2015. CO- Tagunguber ¨ Numerische Metho- DEN SIREAD. ISSN 0036-1445 den der Approximationstheorie, (print), 1095-7200 (electronic). Oberwolfach, 20.-26. März 1983, volume 67 of Numerical meth- Chapman:2011:FBR ods of approximation theory; In- ternational series of numerical [CLT11] S. J. Chapman, James Lottes, mathematics. Birkhäuser, Cam- and Lloyd N. Trefethen. Four bridge, MA, USA; Berlin, Ger- bugs on a rectangle. Proceed- many; Basel, Switzerland, 1984. ings of the Royal Society A: ISBN 3-7643-1580-6. LCCN Mathematical, Physical, & En- QA221 .T129n 1983. gineering Sciences, 467(2127): 881–896, March 8, 2011. CO- Corless:2016:BRT DEN PRLAAZ. ISSN 1364-5021 (print), 1471-2946 (electronic). [Cor16] Robert M. Corless. Book review of: L. N. Trefethen, Ap- Collatz:1982:WNM proximation theory and approx- [CMW82] L. (Lothar) Collatz, Günther imation practice. SIAM Re- Meinardus, and H. (Helmut) view, 58(1):159–163, 2016. CO- Werner, editors. Workshop DEN SIREAD. ISSN 0036-1445 on Numerical Methods of Ap- (print), 1095-7200 (electronic). proximation Theory, Oberwol- fach, January 18–24, 1981 = Chui:1983:ATI Tagunguber ¨ Numerische Meth- oden der Approximationstheo- [CSW83] C. K. Chui, Larry L. Schumaker, rie, Oberwolfach, 18.–24. Jan- and J. D. Ward, editors. Ap- uar 1981, volume 59 of Nu- proximation theory IV: proceed- merical methods of approxima- ings of the International Sym- tion theory; International se- posium on Approximation The- ries of numerical mathematics. ory held at Texas A and M Uni- Birkhäuser, Cambridge, MA, versity, College Station, Texas, USA; Berlin, Germany; Basel, on January 10–14, 1983. Aca- Switzerland, 1982. ISBN 3-7643- demic Press, New York, NY, 1304-8. LCCN QA221 .T129n USA, 1983. ISBN 0-12-174580-5. 1981; QA297.5 .N85. LCCN QA297.5 .I54 1983. REFERENCES 12

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absorbing boundary. Jour- Elcrat:1986:CFS nal of Computational and Ap- plied Mathematics, 69(1):125– [ET86] Alan R. Elcrat and Lloyd N. 142, April 30, 1996. CO- Trefethen. Classical free- DEN JCAMDI. ISSN 0377- streamline flow over a polygo- 0427 (print), 1879-1778 (elec- nal obstacle. Journal of Compu- tronic). URL http://www. tational and Applied Mathemat- sciencedirect.com/science/ ics, 14(1–2):251–265, February article/pii/0377042795000216. 1986. CODEN JCAMDI. ISSN 0377-0427 (print), 1879-1778 Driscoll:2002:SCM (electronic). URL http://www. sciencedirect.com/science/ [DT02] Tobin A. Driscoll and Lloyd N. article/pii/0377042786901421. Trefethen. Schwarz–Christoffel mapping, volume 8 of Cam- Embree:1999:GFM bridge Monographs on Applied and Computational Mathemat- [ET99a] Mark Embree and Lloyd N. ics. Cambridge University Press, Trefethen. Green’s functions Cambridge, UK, 2002. ISBN for multiply connected domains 0-521-80726-3. xvi + 132 pp. via conformal mapping. SIAM LCCN QA360 .D75 2002. Review, 41(4):745–761, Decem- ber 1999. CODEN SIREAD. Driscoll:1998:PTM ISSN 0036-1445 (print), 1095- 7200 (electronic). URL [DTT98] Tobin A. Driscoll, Kim-Chuan C. http: Toh, and Lloyd N. Trefethen. //epubs.siam.org/sam-bin/ dbq/article/34927. From potential theory to matrix iterations in six steps. SIAM Embree:1999:GDR Review, 40(3):547–578, Septem- ber 1998. CODEN SIREAD. [ET99b] Mark Embree and Lloyd N. ISSN 0036-1445 (print), 1095- Trefethen. Growth and decay 7200 (electronic). URL http: of random Fibonacci sequences. //epubs.siam.org/sam-bin/ Proceedings of the Royal So- dbq/article/30558. ciety A: Mathematical, Physi- cal, & Engineering Sciences, 455 Engquist:1985:LSC (1987):2471–2485, July 8, 1999. [EOS85] Björn Engquist, Stanley Osher, CODEN PRLAAZ. ISSN 1364- and Richard Somerville, edi- 5021 (print), 1471-2946 (elec- tors. Large-scale computations tronic). in fluid mechanics, volume 22 Embree:2001:GET of Lectures in applied mathematics. Amer. Math. Soc., Provi- [ET01a] Mark Embree and Lloyd N. dence, RI, USA, 1985. ISBN 0- Trefethen. Generalizing eigen- 8218-1122-3. LCCN QA901 .L37 value theorems to pseudospec- 1985. tra theorems. SIAM Journal REFERENCES 14

on Scientiﬁc Computing, 23(2): 18–27, Documenta Mathemat- 583–590, March 2001. CO- ica. Deutscher Mathematiker- DEN SJOCE3. ISSN 1064-8275 Vereinigung, Bielefeld, Ger- (print), 1095-7197 (electronic). many, 1998. ISSN 1431-0635. URL http://epubs.siam.org/ LCCN QA1 .I61 1998. sam-bin/dbq/article/37301. Gonnet:2013:RPA Embree:2001:PG

[ET01b] Mark Embree and Lloyd N. [GGT13] Pedro Gonnet, Stefan G¨uttel, Trefethen. Pseudospectra and Lloyd N. Trefethen. Ro- gateway. Web site, 2001. bust Pad´e approximation via URL http://www.comlab.ox. SVD. SIAM Review, 55(1): ac.uk/pseudospectra. 101–117, ???? 2013. CO- DEN SIREAD. ISSN 0036-1445 Filip:2019:SRF (print), 1095-7200 (electronic).

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Richardson:2011:SFA rent research]. Springer Spek- trum, Heidelberg, Germany, [RT11] Mark Richardson and Lloyd N. 2013. ISBN 3-642-25797-6, Trefethen. A sinc function ana- 3-642-25798-4 (e-book). xv logue of Chebfun. SIAM Jour- + 228 pp. LCCN QA37.3 nal on Scientific Computing,33 .E3615 2013eb. URL http: (5):2519–2535, ???? 2011. CO- //public.eblib.com/choice/ DEN SJOCE3. ISSN 1064- publicfullrecord.aspx?p=1082421; 8275 (print), 1095-7197 (elec- http://site.ebrary.com/id/ tronic). URL http://epubs. 10640332. siam.org/sisc/resource/1/ Saff:1993:FCA sjoce3/v33/i5/p2519_s1. [SS93] E. B. Saff and Arthur David Reddy:1993:PCD Snider. Fundamentals of com- [RTP93] Satish C. Reddy, Lloyd N. Tre- plex analysis for mathemat- fethen, and D. Pathria. Pseu- ics, science, and engineering. dospectrum of the convection– Prentice-Hall, Englewood Cliffs, diffusion operator. Technical NJ 07632, USA, second edition, Report CTC 93 TR126, Ad- 1993. ISBN 0-13-327461-6. xi vanced Computing Research In- + 468 pp. LCCN QA300 .S18 stitute, Cornell Theory Center, 1993. US$48.75. Cornell University, Ithaca, New Saff:2003:FCA York, 1993. ???? pp. [SS03] Edward B. Saff and Arthur David Schleicher:2011:IMC Snider. Fundamentals of Com- plex Analysis: with Applica- [SL11] Dierk Schleicher and Malte tions to Engineering and Sci- Lackmann, editors. An ence. Prentice-Hall, Englewood Invitation to Mathematics: Cliffs, NJ 07632, USA, third edi- From Competitions to Research. tion, 2003. ISBN 0-13-907874- Springer-Verlag, Berlin, Ger- 6, 0-13-017968-X (International many / Heidelberg, Germany / ed.). xi + 511 pp. LCCN QA300 London, UK / etc., 2011. ISBN .S18 2003. With an appendix by 3-642-19532-6 (soft cover), 3- Lloyd N. Trefethen and Tobin A. 642-19533-4 (e-book). xiv + 220 Driscoll. pp. LCCN ???? Schmelzer:2007:CGF Schleicher:2013:EME [ST07] Thomas Schmelzer and Lloyd N. [SL13] Dierk Schleicher and Malte Trefethen. Computing the Lackmann. Eine Einladung gamma function using contour in die Mathematik: Einblicke integrals and rational approxi- in aktuelle Forschung. (Ger- mations. SIAM Journal on Nu- man) [An invitation to math- merical Analysis, 45(2):558–571, ematics: insights into cur- ???? 2007. CODEN SJNAAM. REFERENCES 24

ISSN 0036-1429 (print), 1095- Mathematik und Physik = Jour- 7170 (electronic). nal of Applied Mathematics and Physics, 35(5):692–704, 1984. Schmelzer:2007:EMF CODEN AZMPA8. ISSN 0044- [ST08] Thomas Schmelzer and Lloyd N. 2275 (print), 1420-9039 (elec- Trefethen. Evaluating matrix tronic). functions for exponential inte- Trefethen:1997:LDM grators via Carathéodory–Fejér approximation and contour in- [TB97a] L. N. Trefethen and J. S. tegrals. Electronic Transactions Baggett. Low-dimensional mod- on Numerical Analysis, 29:1– els of subcritical transition to 18, 2007/2008. CODEN ???? turbulence. Physics of Fluids,9 ISSN 1068-9613 (print), 1097- (4):1043–1053, ???? 1997. CO- 4067 (electronic). URL http:/ DEN PHFLE6. ISSN 1070-6631. /etna.mcs.kent.edu/vol.29. Trefethen:1997:NLA 2007-2008/pp1-18.dir/pp1- 18.pdf. [TB97b] Lloyd N. Trefethen and David Bau, III, editors. Numerical Lin- Suli:2010:BMB ear Algebra. Society for Indus- [STW10] Endre Süli, Nick Trefethen, and trial and Applied Mathematics, Andy Wathen. Bill Morton’s Philadelphia, PA, USA, 1997. 80th birthday conference. Math- ISBN 0-89871-361-7. xii + 361 ematics Today, 46(4):174–175, pp. LCCN QA184 .T74 1997. 2010. ISSN 1361-2042. Trefethen:2006:CEP Specht:2002:HSH [TB06] Lloyd N. Trefethen and Timo [SWRG02] Eckard Specht, Martin Wohlge- Betcke. Computed eigenmodes muth, Clemens Raab, and Lutz of planar regions. In Recent ad- Gehlen. How to solve the vances in differential equations “A Hundred-Dollar, Hundred- and mathematical physics, vol- Digit Challenge”. World- ume 412 of Contemp. Math., Wide Web document., 2002. pages 297–314. Amer. Math. URL http://matheplanet. Soc., Providence, RI, USA, com/matheplanet/nuke/html/ 2006. matroid/siam/siam_results. Trefethen:2018:EO pdf. See [Tre02b, Tre02a, Tre02c]. [TBD18] Lloyd N. Trefethen, Asgeir´ Trefethen:1984:ADP Birkisson, and Tobin A. Driscoll. Exploring ODEs, volume 157. [TA84] Lloyd N. Trefethen and Z. Angew. Society for Industrial and Ap- Analysis and design of polygo- plied Mathematics, Philadel- nal resistors by conformal map- phia, PA, USA, 2018. ISBN ping. Zeitschrift für Angewandte 1-61197-515-8 (hardcover). vii REFERENCES 25

+ 335 pp. LCCN QA371 .T67 Trefethen:2005:SPB 2018. [TE05] Lloyd N. Trefethen and Mark Trefethen:2004:WPP Embree. Spectra and Pseu- [TC04] Lloyd N. Trefethen and S. J. dospectra: the Behavior of Non- Chapman. Wave packet pseudo- normal Matrices and Opera- modes of twisted Toeplitz matri- tors. Princeton University Press, ces. Comm. Pure Appl. Math., Princeton, NJ, USA, 2005. ISBN 57(9):1233–1264, 2004. CO- 0-691-11946-5. xviii + 606 pp. DEN CPAMAT. ISSN 0010- LCCN QA320 .T67 2005. URL 3640 (print), 1097-0312 (elec- http://www.loc.gov/catdir/ tronic). enhancements/fy0654/2005046573- b.html; http://www.loc. Trefethen:2001:SPL gov/catdir/enhancements/fy0654/ 2005046573-d.html; http: [TCE01] Lloyd N. Trefethen, Marco Con- //www.loc.gov/catdir/enhancements/ tedini, and Mark Embree. Spec- fy0654/2005046573-t.html. tra, pseudospectra, and local- The behavior of nonnormal ma- ization for random bidiagonal trices and operators. matrices. Comm. Pure Appl. Math., 54(5):595–623, 2001. Trefethen:1983:NBR CODEN CPAMAT. ISSN 0010- 3640 (print), 1097-0312 (elec- [TG83a] Lloyd N. Trefethen and M. H. tronic). Gutknecht. Nonuniqueness of best rational Chebyshev ap- Trefethen:1998:SCM proximations on the unit disk. Journal of Approximation The- [TD98] Lloyd N. Trefethen and To- ory, 39(3):275–288, 1983. CO- bin A. Driscoll. Schwarz– DEN JAXTAZ. ISSN 0021-9045 Christoﬀel mapping in the com- (print), 1096-0430 (electronic). puter era. In Fischer et al. [FSR98], pages 533–542. ISSN Trefethen:1983:RCCa 1431-0635. LCCN QA1 .I61 1998. Extra volume III. [TG83b] Lloyd N. Trefethen and M. H. Gutknecht. Real and com- Trefethen:19xx:PTM plex Chebyshev approximation [TDTxx] L. N. Trefethen, T. A. Driscoll, on the unit disk and inter- and K.-C. Toh. From potential val. Bull. Amer. Math. Soc., theory to matrix iterations in six 8(3):455–458, 1983. CODEN steps. SIAM Journal on Matrix BAMOAD. ISSN 0002-9904 Analysis and Applications,?? (print), 1936-881X (electronic). (??):??, ???? 19xx. CODEN SJ- Trefethen:1983:CFM MAEL. ISSN 0895-4798 (print), 1095-7162 (electronic). To ap- [TG83c] Lloyd N. Trefethen and Mar- pear. tin H. Gutknecht. The REFERENCES 26

Carathéodory–Fejér method for Mathematical Analysis, 16(1): real rational approximation. 198–210, January 1985. CO- SIAM Journal on Numerical DEN SJMAAH. ISSN 0036-1410 Analysis, 20(2):420–436, April (print), 1095-7154 (electronic). 1983. CODEN SJNAAM. ISSN 0036-1429 (print), 1095-7170 Trefethen:1987:PSP (electronic). [TG87] Lloyd N. Trefethen and M. H. H. Trefethen:1983:RCCb Gutknecht. Padé, stable Padé, and Chebyshev–Padé approxi- [TG83d] Lloyd N. Trefethen and Mar- mation. In Mason and Cox tin H. Gutknecht. Real and com- [MC87], pages 227–264. ISBN 0- plex Chebyshev approximation 19-853612-7. LCCN QA221 .I47 on the unit disk and interval. In 1985. US$90.00. Chui et al. [CSW83], pages 712– 722. ISBN 0-12-174580-5. LCCN Trefethen:1997:DPM QA297.5 .I54 1983. [TG97] Lloyd N. Trefethen and A. Green- Trefethen:1983:RVC baum. Do the pseudospectra of a matrix determine its behav- [TG83e] Lloyd N. Trefethen and Mar- ior? Linear Algebra and its tin H. Gutknecht. Real vs. com- Applications, ??:??, 1997. CO- plex rational Chebyshev approx- DEN LAAPAW. ISSN 0024- imation on an interval. Trans- 3795 (print), 1873-1856 (elec- actions of the American Mathe- tronic). To appear. The first au- matical Society, 280(2):555–561, thor reports that the paper has 1983. CODEN TAMTAM. been accepted, subject to minor ISSN 0002-9947 (print), 1088- revisions. 6850 (electronic). Trefethen:1986:WPA Trefethen:1984:RVC [TH86a] Lloyd N. Trefethen and L. Halpern. [TG84] Lloyd N. Trefethen and M. H. Well-posedness of absorbing Gutknecht. Real vs. complex ra- boundary conditions and one- tional Chebyshev approximation way wave equations. Mathe- on complex domains. In Col- matics of Computation, 47(176): latz et al. [CMW82], pages 87– 421–435, 1986. CODEN MCM- 97. ISBN 3-7643-1304-8. LCCN PAF. ISSN 0025-5718 (print), QA221 .T129n 1981; QA297.5 1088-6842 (electronic). .N85. Trefethen:1985:CDR Trefethen:1986:WPO [TG85] Lloyd N. Trefethen and Mar- [TH86b] Lloyd N. Trefethen and Lau- tin H. Gutknecht. On conver- rence Halpern. Well-posedness gence and degeneracy in ratio- of one-way wave equations and nal Padé and Chebyshev ap- absorbing boundary conditions. proximation. SIAM Journal on Mathematics of Computation, REFERENCES 27

47(176):421–435, 1986. CO- and solutions: Advanced prob- DEN MCMPAF. ISSN 0025- lems: 6460–6462. Amer. Math. 5718 (print), 1088-6842 (elec- Monthly, 91(6):371, 1984. CO- tronic). DEN AMMYAE. ISSN 0002- 9890 (print), 1930-0972 (elec- Trefethen:1988:IPA tronic). [TH88] Lloyd N. Trefethen and L. H. Trefethen:1999:MMM Howell. Ill-posedness of absorbing boundary conditions for mi- [TMC+99] Anne E. Trefethen, Vijay S. gration. Geophysics, 53:593– Menon, Chi-Chao Chang, Grze- 603, 1988. CODEN GPYSA7. gorz J. Czajkowski, Chris My- ISSN 0016-8033 (print), 1942- ers, and Lloyd N. Trefethen. 2156 (electronic). MultiMATLAB: MATLAB on multiple processors. Tech- Trefethen:1997:EMI nical report, Cornell The- [TH97] L. N. Trefethen and V. E. Howle. ory Center and Computer Eigenvalues and musical instru- Science Department, Cornell ments. Technical Report ????, University, Ithaca, NY, Au- ????, ????, August 1997. gust 19, 1999. URL http: //www.cs.cornell.edu/Info/ Trefethen:1990:CT People/lnt/multimatlab.html. [THG90] Lloyd N. Trefethen, E. Hayashi, Trefethen:2021:ENC and M. H. Gutknecht. The CF table. Constructive Approx- [TNW21] Lloyd N. Trefethen, Yuji Nakat- imation, 6(2):195–223, 1990. sukasa, and J. A. C. Weide- ISSN 0176-4276 (print), 1432- man. Exponential node clus- 0940 (electronic). tering at singularities for rational approximation, quadra- Trefethen:1998:NAL ture, and PDEs. Num. Math, [TJ98] L. N. Trefethen and G. F. 147(1):227–254, January 2021. Jønsson. A numerical ana- CODEN NUMMA7. ISSN lyst looks at the ‘cutoff phe- 0029-599X (print), 0945-3245 nomenon’ in card shuffling and (electronic). URL http:// other Markov chains. In Higham link.springer.com/article/ et al. [HWG98], page ?? ISBN 0- 10.1007/s00211-020-01168- 582-31261-2 (paperback). ISSN 2; https://link.springer. 0269-3674. LCCN QA297 .D85 com/content/pdf/10.1007/s00211- 1997. 020-01168-2.pdf. Trefethen:1984:PSA Trefethen:1990:SUQ [TLMD84] Lloyd N. Trefethen, Randall J. [TP90] Lloyd M. Trefethen and Ronald L. LeVeque, L. E. Mattics, and Panton. Some unanswered ques- L. Richard Duffy. Problems tions in fluid mechanics. Ap- REFERENCES 28

plied Mechanics Reviews, 43(8): Schwarz–Christoffel transforma- 153–170, 1990. CODEN AM- tion”. SIAM Journal on Sci- READ. ISSN 0003-6900 (print), entific and Statistical Comput- 1088-8535 (electronic). ing, 1(2):302, 1980. CODEN SI- JCD4. ISSN 0196-5204. See Trefethen:1992:SML [Tre80c]. [TR92a] Lloyd N. Trefethen and S. C. Trefethen:1980:NCS Reddy. Stability of the method of lines. Num. Math, 62(2):235– [Tre80c] Lloyd N. Trefethen. Nu- 267, 1992. CODEN NUMMA7. merical computation of the ISSN 0029-599X (print), 0945- Schwarz–Christoffel transforma- 3245 (electronic). tion. SIAM Journal on Scien- tific and Statistical Computing, Trefethen:1992:EPE 1(1):82–102, 1980. CODEN SI- JCD4. ISSN 0196-5204. See er- [TR92b] Lloyd N. Trefethen and L. Re- ratum [Tre80b]. ichel. Eigenvalues and pseudo- eigenvalues of Toeplitz matrices. Trefethen:1981:CAS Linear Algebra and its Appli- cations, 162–164:153–185, 1992. [Tre81a] Lloyd N. Trefethen. Computer CODEN LAAPAW. ISSN 0024- application of the Schwarz– 3795 (print), 1873-1856 (elec- Christoffel transformation. In tronic). Butzer and Fehér [BF81], pages 263–274. ISBN 3-7643-1162- Trefethen:1977:CAP 2. LCCN QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 [Tre77] Lloyd N. Trefethen. Chebyshev 1981. URL https://link. approximation by polynomials springer.com/book/10.1007/ in the complex plane. Under- 978-3-0348-5452-8. graduate thesis, Harvard Uni- versity, Cambridge, MA, USA, Trefethen:1981:NCC May 1977. [Tre81b] Lloyd N. Trefethen. Near- Trefethen:1980:CAS circularity of the curve in complex Chebyshev approximation. [Tre80a] Lloyd N. Trefethen. Computa- Journal of Approximation The- tion and application of Schwarz– ory, 31(4):344–367, 1981. CO- Christoffel transformations. In DEN JAXTAZ. ISSN 0021-9045 Anonymous [Ano80], pages 165– (print), 1096-0430 (electronic). 171. ISBN ???? LCCN ???? Six Trefethen:1981:NCE microfiches. Trefethen:1980:ENC [Tre81c] Lloyd N. Trefethen. Near- circularity of the error curve in [Tre80b] Lloyd N. Trefethen. Erratum: complex Chebyshev approxima- “Numerical computation of the tion. Journal of Approximation REFERENCES 29

Theory, 31(4):344–367, 1981. December 1983. CODEN SJ- CODEN JAXTAZ. ISSN 0021- NAAM. ISSN 0036-1429 (print), 9045 (print), 1096-0430 (elec- 1095-7170 (electronic). tronic). Trefethen:1983:GVI Trefethen:1981:RCA [Tre83c] Lloyd N. Trefethen. Group [Tre81d] Lloyd N. Trefethen. Ratio- velocity interpretation of the nal Chebyshev approximation stability theory of Gustafsson, on the unit disk. Num. Math, Kreiss, and Sundström. Jour- 37(2):297–320, 1981. CODEN nal of Computational Physics, NUMMA7. ISSN 0029-599X 49(2):199–217, February 1983. (print), 0945-3245 (electronic). CODEN JCTPAH. ISSN 0021- 9991 (print), 1090-2716 (elec- Trefethen:1982:GVF tronic). URL http://www. [Tre82a] Lloyd N. Trefethen. Group sciencedirect.com/science/ velocity in finite difference article/pii/0021999183901237. schemes. SIAM Review,24 Trefethen:1984:AAR (2):113–136, April 1982. CO- DEN SIREAD. ISSN 0036-1445 [Tre84a] Lloyd N. Trefethen. The asymp- (print), 1095-7200 (electronic). totic accuracy of rational best approximations to ez on a disk. Trefethen:1982:WPS Journal of Approximation The- [Tre82b] Lloyd Nicholas Trefethen. Wave ory, 40(4):380–383, 1984. CO- Propagation and Stability for Fi- DEN JAXTAZ. ISSN 0021-9045 nite Difference Schemes. Ph.D. (print), 1096-0430 (electronic). thesis, Stanford University, Trefethen:1984:BRF Stanford, CA, USA, 1982. 208 pp. [Tre84b] Lloyd N. Trefethen. Book review: Fourier Analysis of Nu- Trefethen:1983:CAU merical Approximations of Hy- [Tre83a] Lloyd N. Trefethen. Chebyshev perbolic Equations (R. Vich- approximation on the unit disk. nevetsky and J. B. Bowles). In Werner et al. [W+83], pages SIAM Review, 26(3):439–441, 309–323. ISBN 90-277-1571-8. ???? 1984. CODEN SIREAD. LCCN QA300 .N29 1982. ISSN 0036-1445 (print), 1095- 7200 (electronic). Trefethen:1983:CEC Trefethen:1984:IDM [Tre83b] Lloyd N. Trefethen. Circu- larity of the error curve and [Tre84c] Lloyd N. Trefethen. Instabil- sharpness of the CF method in ity of difference models for hy- complex Chebyshev approxima- perbolic initial-boundary value tion. SIAM Journal on Numer- problems. Comm. Pure Appl. ical Analysis, 20(6):1258–1263, Math., 37(3):329–367, 1984. REFERENCES 30

CODEN CPAMAT. ISSN 0010- Trefethen:1985:SHF 3640 (print), 1097-0312 (electronic). [Tre85b] Lloyd N. Trefethen. Stabil- ity of hyperbolic finite-difference Trefethen:1984:IFD models with one or two bound- [Tre84d] Lloyd N. Trefethen. Insta- aries. In Engquist et al. [EOS85], bility of finite difference mod- pages 311–326. ISBN 0-8218- els for hyperbolic initial bound- 1122-3. LCCN QA901 .L37 ary value problems. Comm. 1985. Pure Appl. Math., 24(3):329– Trefethen:1985:TMG 367, 1984. CODEN CPAMAT, CPMAMV. ISSN 0010-3640 [Tre85c] Lloyd N. Trefethen. Three (print), 1097-0312 (electronic). mysteries of Gaussian elimina- Trefethen:1984:IDD tion. SIGNUM Newsletter,20 (4):2–5, October 1985. CO- [Tre84e] Lloyd N. Trefethen. On `p- DEN SNEWD6. ISSN 0163- instability and dispersion at dis- 5778 (print), 1558-0237 (elec- continuities in finite difference tronic). schemes. In Vichnevetsky and Stepleman [VS84b], page ?? Trefethen:1986:DDS ISBN ???? LCCN ???? Trefethen:1984:SBE [Tre86a] Lloyd N. Trefethen. Dispersion, dissipation, and stability. In [Tre84f] Lloyd N. Trefethen. Square Griffiths and Watson [GW86], blocks and equioscillation in the pages 200–219. ISBN 0-470- Padé, Walsh, and CF tables. 20669-1, 0-582-98897-7. LCCN Lecture Notes in Mathematics, QA297 .N8251 1986. The 11th 1105:170–181, 1984. CODEN Dundee Biennial Conference on LNMAA2. ISBN 3-540-13899-4 Numerical Analysis, held at the (print), 3-540-39113-4 (e-book). University of Dundee on 25–28 ISSN 0075-8434 (print), 1617- June 1985. 9692 (electronic). URL http:// link.springer.com/chapter/ Trefethen:1986:MPC 10.1007/BFb0072410/. [Tre86b] Lloyd N. Trefethen. MATLAB Trefethen:1985:SFD programs for CF approximation. [Tre85a] Lloyd N. Trefethen. Stability In Chui et al. [CSW86], page ?? of finite-difference models con- ISBN 0-12-174581-3. LCCN taining two boundaries or inter- QA221 .S92 1986; QA221.S92. faces. Mathematics of Compu- Proceedings of the Fifth Inter- tation, 45(172):279–300, Octo- national Symposium on Approx- ber 1985. CODEN MCMPAF. imation Theory, held at Texas ISSN 0025-5718 (print), 1088- A and M University on January 6842 (electronic). 13–17, 1986. REFERENCES 31

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[Tre86c] Lloyd N. Trefethen, editor. Nu- [Tre89a] Lloyd N. Trefethen. Schwarz– merical Conformal Mapping. Christoffel mapping in the North-Holland Publishing Co., 1980’s. Numerical Analysis Re- Amsterdam, The Netherlands, port 89-1, Dept. of Mathemat- 1986. ISBN 0-444-87855-6. iv ics, MIT, Cambridge, MA, USA, + 269 pp. LCCN QA1.J54. 1989. Reprint of J. Comput. Appl. Trefethen:1989:SUG Math. 14 (1986), no. 1–2. [Tre89b] Lloyd N. Trefethen. SCPACK user’s guide. Numerical Analy- Trefethen:1986:P sis Report 89-2, Dept. of Math- ematics, MIT, Cambridge, MA, [Tre86d] Lloyd N. Trefethen. Pref- USA, 1989. (An earlier edition ace. Journal of Computational appeared as an ICASE internal and Applied Mathematics,14 report in 1983.). (1–2):1–6, February 1986. CO- DEN JCAMDI. ISSN 0377- Trefethen:1990:ATN 0427 (print), 1879-1778 (electronic). URL http://www. [Tre90] Lloyd N. Trefethen. Approxima- sciencedirect.com/science/ tion theory and numerical lin- article/pii/0377042786901275. ear algebra. In Mason and Cox [MC90], pages 336–360. ISBN 0- Trefethen:1986:SIN 412-34580-3. LCCN QA221 .I54 1988. [Tre86e] Lloyd N. Trefethen, editor. Spe- Trefethen:1992:DNA cial issue on numerical conformal mapping, volume 14(1–2) of [Tre92a] Lloyd N. Trefethen. The Journal of Computational and definition of numerical analy- Applied Mathematics. Elsevier sis. SIAM News, 25, Novem- Science Publishers, Amsterdam, ber 6, 1992. ISSN 0036- The Netherlands, 1986. CO- 1437. URL http://webs.um. DEN JCAMDI. ISSN 0377-0427 es/eliseo/um/uploads/Main/ (print), 1879-1778 (electronic). TrefethendefNA.pdf. Reprinted viii + 269 pp. in the Bulletin of the Institute for Mathematics and its Appli- Trefethen:1988:LSV cations, 1993. Trefethen:1992:PM [Tre88] Lloyd N. Trefethen. Lax- stability vs. eigenvalue stability [Tre92b] Lloyd N. Trefethen. Pseudospec- of spectral methods. In Morton tra of matrices. In Griffiths and Baines [MB88], pages 237– and Watson [GW91], pages 234– 253. ISBN 0-19-853632-1. LCCN 266. ISBN 0-582-08908-5. LCCN TA357 .N8726 1988. US$75.00. QA297 .D85 1991. REFERENCES 32

Trefethen:1993:NCC 521-77088-2. ISSN 0962-4929 (print), 1474-0508 (electronic). [Tre93] Lloyd N. Trefethen. Numer- ical construction of conformal Trefethen:1999:SP maps. In Fundamentals of complex analysis for mathematics, [Tre99b] Lloyd N. Trefethen. Spec- science, and engineering [SS93], tra and pseudospectra. In page ?? ISBN 0-13-327461- Mark Ainsworth, Jeremy Leves- 6. LCCN QA300 .S18 1993. ley, and Marco Marletta, ed- US$48.75. itors, The Graduate Student’s Guide to Numerical Analysis Trefethen:1994:SPP ’98, pages 217–250. Springer- [Tre94] L. N. Trefethen. Spectra and Verlag, Berlin, Germany / Hei- pseudospectra for pipe Poiseuille delberg, Germany / London, ﬂow. IPS Research Report UK / etc., 1999. 94-16, Interdisciplinary Project Center for Supercomputing, Trefethen:1999:SPB ETH-Zurich, Zurich, Switzer- [Tre99c] Lloyd N. Trefethen. Spectra and land, ???? 1994. pseudospectra. The behaviour Trefethen:1996:PLO of non-normal matrices and operators. In Ainsworth et al. [Tre96] L. N. Trefethen. Pseudospectra [ALM99], pages 217–250. ISBN of linear operators. In Kirch- 3-540-65752-5. ISSN 0179-3632. gassner et al. [KMM96], pages LCCN QA297 .E57 1998. 401–434. ISBN 3-05-501682-3. LCCN QA1 .I73 1995. Also in Trefethen:1999:SRa [Tre97]. [Tre99d] Nick Trefethen. Survey and Trefethen:1997:PLO review. SIAM Review,41 (1):1–2, March 1999. CO- [Tre97] Lloyd N. Trefethen. Pseudospec- tra of linear operators. SIAM DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic). Review, 39(3):383–406, Septem- URL ber 1997. CODEN SIREAD. http://epubs.siam.org/ ISSN 0036-1445 (print), 1095- sam-bin/dbq/article/97019. 7200 (electronic). URL http: Trefethen:1999:SRb //epubs.siam.org/sam-bin/ dbq/article/29528. [Tre99e] Nick Trefethen. Survey and Trefethen:1999:CP review. SIAM Review,41 (2):197, June 1999. CODEN [Tre99a] Lloyd N. Trefethen. Computa- SIREAD. ISSN 0036-1445 tion of pseudospectra. Acta Nu- (print), 1095-7200 (electronic). merica, 8:247–295, 1999. CO- URL http://epubs.siam.org/ DEN ANUMFU. ISBN 0- sam-bin/dbq/article/97024. REFERENCES 33

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Trefethen:2001:SRc nick.trefethen/hundred.html; http://www.siam.org/siamnews/ [Tre01c] Nick Trefethen. Survey and 01-02/challenge.pdf. See so- review. SIAM Review, 43(3): lutions [BLWW04, DHN+02, 411, September 2001. CO- GI02, KW02, Ker02a, Ker02b, DEN SIREAD. ISSN 0036-1445 Lau02, MS02, MBvG02, SWRG02, (print), 1095-7200 (electronic). Tre02a, Tre02c]. From the so- URL http://epubs.siam.org/ lutions Web site: “Ninety-four sam-bin/dbq/article/97071. teams from twenty-ﬁve coun- tries entered the competition. Of Trefethen:2001:SRd these, twenty teams scored 100 [Tre01d] Nick Trefethen. Survey and points and thus are counted as review. SIAM Review, 43(4): FIRST PRIZE WINNERS”. 583, December 2001. CO- Trefethen:2002:SDD DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic). [Tre02c] Lloyd N. Trefethen. The URL http://epubs.siam.org/ SIAM 100-dollar, 100-digit chal- sam-bin/dbq/article/97076. lenge. SIAM News, 35(6): 2, July/August 2002. ISSN Trefethen:2002:DCC 0036-1437. URL http:// www.siam.org/siamnews/06- [Tre02a] Lloyd N. Trefethen. The $100, 02/challengedigits.pdf. 100-digit challenge: Chastened challenge sponsor: “I mis- Trefethen:2002:SRI judged”. SIAM News, 35(6): 4, July/August 2002. ISSN [Tre02d] N. Trefethen. Survey and re- 0036-1437. URL http:// view — introduction. SIAM Re- www.siam.org/siamnews/07- view, 44(4):523, ???? 2002. CO- 02/challengeupdate.pdf. DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic). Trefethen:2002:HDH Trefethen:2002:SRa [Tre02b] Lloyd N. Trefethen. A hundred- dollar, hundred-digit challenge. [Tre02e] Nick Trefethen. Survey and SIAM News, 35(1):??, Jan- review. SIAM Review,44 uary 2002. ISSN 0036-1437. (1):1, March 2002. CODEN URL http://dip.sun.ac.za/~ SIREAD. ISSN 0036-1445 laurie/trefethen-challenge/ (print), 1095-7200 (electronic). challenge.ps; http://mathworld. URL http://epubs.siam.org/ wolfram.com/Hundred-DollarHundred- sam-bin/dbq/article/97081. DigitChallengeProblems.html; Trefethen:2002:SRb http://spiff.rit.edu/classes/ phys317/lectures/intro/hundred_[Tre02f] Nick Trefethen. Survey and dollar.pdf; http://web. review. SIAM Review,44 comlab.ox.ac.uk/oucl/work/ (2):167, June 2002. CODEN REFERENCES 35

SIREAD. ISSN 0036-1445 URL http://www.numdam.org/ (print), 1095-7200 (electronic). item?id=SEDP_2005-2006____ URL http://epubs.siam.org/ A10_0. sam-bin/dbq/article/97086. Trefethen:2007:CNF Trefethen:2002:SRc [Tre07] Lloyd N. Trefethen. Comput- [Tre02g] Nick Trefethen. Survey and ing numerically with functions review. SIAM Review, 44(3): instead of numbers. Mathe- 309, September 2002. CO- matics in Computer Science,1 DEN SIREAD. ISSN 0036-1445 (1):9–19, December 2007. CO- (print), 1095-7200 (electronic). DEN ???? ISSN 1661- URL http://epubs.siam.org/ 8270 (print), 1661-8289 (elec- sam-bin/dbq/article/97091. tronic). URL http://www. springerlink.com/openurl. Trefethen:2002:SRd asp?genre=article&issn=1661- [Tre02h] Nick Trefethen. Survey and 8270&volume=1&issue=1&spage= review. SIAM Review, 44(4): 9. 523, December 2002. CO- Trefethen:2008:GQB DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic). [Tre08] Lloyd N. Trefethen. Is URL http://epubs.siam.org/ Gauss quadrature better than sam-bin/dbq/article/97096. Clenshaw–Curtis? SIAM Re- view, 50(1):67–87, 2008. CO- Trefethen:2005:WPP DEN SIREAD. ISSN 0036- [Tre05] Lloyd N. Trefethen. Wave 1445 (print), 1095-7200 (elec- packet pseudomodes of variable tronic). URL http://link. coefficient differential operators. aip.org/link/?SIR/50/67/1. Proceedings of the Royal So- Trefethen:2010:HTQ ciety A: Mathematical, Physi- cal, & Engineering Sciences, 461 [Tre10] Lloyd N. Trefethen. House- (2062):3099–3122, July 13, 2005. holder triangularization of a CODEN PRLAAZ. ISSN 1364- quasimatrix. IMA J. Numer. 5021 (print), 1471-2946 (elec- Anal., 30(4):887–897, October tronic). 2010. CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 Trefethen:2006:NSP (electronic). URL http:// [Tre06] Nike Trefethen. Nonhermi- imajna.oxfordjournals.org/ tian systems and pseudospectra. content/30/4/887.full.pdf+ In Seminaire: Equations´ aux html. Dérivées Partielles. 2005–2006, Trefethen:2011:SMP Sémin. Equ.´ Dériv. Partielles, pagesx+13.Ecole´ Polytech- [Tre11a] Lloyd N. Trefethen. Six myths nique, Palaiseau, France, 2006. of polynomial interpolation and REFERENCES 36

quadrature. Mathematics To- Birkh¨auser/Springer Basel AG, day, 47(4):184–188, 2011. CO- Basel, 2012. $59.95. xiv + 360 DEN ???? ISSN 1361-2042. pp., softcover. ISBN 978-3-0348- Trefethen:2011:TDP 0179-9. SIAM Review,55 (4):791–797, 2013. CODEN [Tre11b] Lloyd N. Trefethen. Ten digit SIREAD. ISSN 0036-1445 problems. In Schleicher and (print), 1095-7200 (electronic). Lackmann [SL11], pages 119– 136. ISBN 3-642-19532-6 (soft Trefethen:2013:ZPG cover), 3-642-19533-4 (e-book). [Tre13c] Lloyd N. Trefethen. Zehnstellige LCCN ???? URL http:// Probleme. (German) [Ten-digit link.springer.com/chapter/ problems]. In Eine Einladung 10.1007/978-3-642-19533-4_ in die Mathematik: Einblicke in 9. aktuelle Forschung. (German) Trefethen:2011:TIC [An invitation to mathematics: [Tre11c] Lloyd N. Trefethen. Trefethen’s insights into current research] index cards: forty years of notes [SL13], pages 121–140. ISBN about people, words and math- 3-642-25797-6, 3-642-25798-4 ematics. World Scientiﬁc Pub- (e-book). LCCN QA37.3 lishing Co. Pte. Ltd., P. O. .E3615 2013eb. URL http: Box 128, Farrer Road, Singa- //public.eblib.com/choice/ pore 9128, 2011. ISBN 981-4360- publicfullrecord.aspx?p=1082421; 69-4 (paperback), 981-4458-41- http://site.ebrary.com/id/ 4 (e-book). xv + 368 pp. 10640332. LCCN ???? URL http: Trefethen:2015:CNF //www.worldscientific.com/ worldscibooks/10.1142/8207. [Tre15a] Lloyd N. Trefethen. Comput- ing numerically with functions Trefethen:2013:ATA instead of numbers. Commu- [Tre13a] Lloyd N. Trefethen. Approx- nications of the ACM, 58(10): imation Theory and Approxi- 91–97, October 2015. CO- mation Practice. Society for DEN CACMA2. ISSN 0001- Industrial and Applied Mathe- 0782 (print), 1557-7317 (elec- matics, Philadelphia, PA, USA, tronic). URL http://cacm. 2013. ISBN 1-61197-239-6 (pa- acm.org/magazines/2015/10/ perback). viii + 305 pp. LCCN 192390/fulltext. QA221 .T73 2013. Trefethen:2015:PCA Trefethen:2013:BRV [Tre15b] Lloyd N. Trefethen. The [Tre13b] Lloyd N. Trefethen. Book Princeton companion to ap- review: Visual complex func- plied mathematics [book review tions: an introduction with of MR3380576]. SIAM Re- phase portraits, by Elias Wegert. view, 57(3):469–473, 2015. CO- REFERENCES 37

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