Von Neumann 1903-1957 Peter Lax ≈1926- 1940 – 1970 Floating Point Arithmetic
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European Mathematical Society
CONTENTS EDITORIAL TEAM EUROPEAN MATHEMATICAL SOCIETY EDITOR-IN-CHIEF MARTIN RAUSSEN Department of Mathematical Sciences, Aalborg University Fredrik Bajers Vej 7G DK-9220 Aalborg, Denmark e-mail: [email protected] ASSOCIATE EDITORS VASILE BERINDE Department of Mathematics, University of Baia Mare, Romania NEWSLETTER No. 52 e-mail: [email protected] KRZYSZTOF CIESIELSKI Mathematics Institute June 2004 Jagiellonian University Reymonta 4, 30-059 Kraków, Poland EMS Agenda ........................................................................................................... 2 e-mail: [email protected] STEEN MARKVORSEN Editorial by Ari Laptev ........................................................................................... 3 Department of Mathematics, Technical University of Denmark, Building 303 EMS Summer Schools.............................................................................................. 6 DK-2800 Kgs. Lyngby, Denmark EC Meeting in Helsinki ........................................................................................... 6 e-mail: [email protected] ROBIN WILSON On powers of 2 by Pawel Strzelecki ........................................................................ 7 Department of Pure Mathematics The Open University A forgotten mathematician by Robert Fokkink ..................................................... 9 Milton Keynes MK7 6AA, UK e-mail: [email protected] Quantum Cryptography by Nuno Crato ............................................................ 15 COPY EDITOR: KELLY -
Www .Ima.Umn.Edu
ce Berkeley National Laboratory) ce Berkeley Who should attend? Industrial engineers and scientists who want to learn about modern techniques in scientific computations Researchers from academic institutions involved in multidisciplinary collaborations Organizer Robert V. Kohn Tutorial Lectures: Weinan E Leslie F. Greengard courtesy and S.Graphics J-D. Yu Sakia (Epson Research Corporation), and J.A. Sethian (Dept. and Lawren UC Berkeley of Mathematics, James A. Sethian www.ima.umn.edu The primary goal of this workshop is to facilitate the use of the best computational techniques in important industrial applications. Key developers of three of the most significant recent or emerging paradigms of computation – fast multipole methods, level set methods, and multiscale computation – will provide tutorial introductions to these classes of methods. Presentations will be particularly geared to scientists using or interested in using these approaches in industry. In addition the workshop will include research reports, poster presentations, and problem posing by industrial researchers, and offer ample time for both formal and informal discussion, related to the use of these new methods of computation. The IMA is an NSF funded Institute Schedule Weinan E received his Ph.D. from the University of California at Los Angeles in 1989. He was visiting MONDAY, MARCH 28 member at the Courant Institute from 1989 to 1991. He joined the IAS in Princeton as a long term mem- All talks are in Lecture Hall EE/CS 3-180 ber in 1992 and went on to take a faculty 8:30 Coffee and Registration position at the Courant Institute at New York Reception Room EE/CS 3-176 University in 1994. -
The Bibliography
Referenced Books [Ach92] N. I. Achieser. Theory of Approximation. Dover Publications Inc., New York, 1992. Reprint of the 1956 English translation of the 1st Rus- sian edition; the 2nd augmented Russian edition is available, Moscow, Nauka, 1965. [AH05] Kendall Atkinson and Weimin Han. Theoretical Numerical Analysis: A Functional Analysis Framework, volume 39 of Texts in Applied Mathe- matics. Springer, New York, second edition, 2005. [Atk89] Kendall E. Atkinson. An Introduction to Numerical Analysis. John Wiley & Sons Inc., New York, second edition, 1989. [Axe94] Owe Axelsson. Iterative Solution Methods. Cambridge University Press, Cambridge, 1994. [Bab86] K. I. Babenko. Foundations of Numerical Analysis [Osnovy chislennogo analiza]. Nauka, Moscow, 1986. [Russian]. [BD92] C. A. Brebbia and J. Dominguez. Boundary Elements: An Introductory Course. Computational Mechanics Publications, Southampton, second edition, 1992. [Ber52] S. N. Bernstein. Collected Works. Vol. I. The Constructive Theory of Functions [1905–1930]. Izdat. Akad. Nauk SSSR, Moscow, 1952. [Russian]. [Ber54] S. N. Bernstein. Collected Works. Vol. II. The Constructive Theory of Functions [1931–1953]. Izdat. Akad. Nauk SSSR, Moscow, 1954. [Russian]. [BH02] K. Binder and D. W. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction, volume 80 of Springer Series in Solid-State Sciences. Springer-Verlag, Berlin, fourth edition, 2002. [BHM00] William L. Briggs, Van Emden Henson, and Steve F. McCormick. A Multigrid Tutorial. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, second edition, 2000. [Boy01] John P. Boyd. Chebyshev and Fourier Spectral Methods. Dover Publi- cations Inc., Mineola, NY, second edition, 2001. [Bra84] Achi Brandt. Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, volume 85 of GMD-Studien [GMD Studies]. -
JOHN WILDER TUKEY 16 June 1915 — 26 July 2000
Tukey second proof 7/11/03 2:51 pm Page 1 JOHN WILDER TUKEY 16 June 1915 — 26 July 2000 Biogr. Mems Fell. R. Soc. Lond. 49, 000–000 (2003) Tukey second proof 7/11/03 2:51 pm Page 2 Tukey second proof 7/11/03 2:51 pm Page 3 JOHN WILDER TUKEY 16 June 1915 — 26 July 2000 Elected ForMemRS 1991 BY PETER MCCULLAGH FRS University of Chicago, 5734 University Avenue, Chicago, IL 60637, USA John Wilder Tukey was a scientific generalist, a chemist by undergraduate training, a topolo- gist by graduate training, an environmentalist by his work on Federal Government panels, a consultant to US corporations, a data analyst who revolutionized signal processing in the 1960s, and a statistician who initiated grand programmes whose effects on statistical practice are as much cultural as they are specific. He had a prodigious knowledge of the physical sci- ences, legendary calculating skills, an unusually sharp and creative mind, and enormous energy. He invented neologisms at every opportunity, among which the best known are ‘bit’ for binary digit, and ‘software’ by contrast with hardware, both products of his long associa- tion with Bell Telephone Labs. Among his legacies are the fast Fourier transformation, one degree of freedom for non-additivity, statistical allowances for multiple comparisons, various contributions to exploratory data analysis and graphical presentation of data, and the jack- knife as a general method for variance estimation. He popularized spectrum analysis as a way of studying stationary time series, he promoted exploratory data analysis at a time when the subject was not academically respectable, and he initiated a crusade for robust or outlier-resist- ant methods in statistical computation. -
Notices: Highlights
------------- ----- Tacoma Meeting (June 18-20)-Page 667 Notices of the American Mathematical Society June 1987, Issue 256 Volume 34, Number 4, Pages 601 - 728 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of Notices was sent to the press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and supplementary announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the headquarter's office of the Society. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information. consult the meeting announcements and the list of organizers of special sessions. -
A Complete Bibliography of Publications in Nordisk Tidskrift for Informationsbehandling, BIT, and BIT Numerical Mathematics
A Complete Bibliography of Publications in Nordisk Tidskrift for Informationsbehandling, BIT,andBIT Numerical Mathematics Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 09 June 2021 Version 3.54 Title word cross-reference [3105, 328, 469, 655, 896, 524, 873, 455, 779, 946, 2944, 297, 1752, 670, 2582, 1409, 1987, 915, 808, 761, 916, 2071, 2198, 1449, 780, 959, 1105, 1021, 497, 2589]. A(α) #24873 [1089]. [896, 2594, 333]. A∗ [2013]. A∗Ax = b [2369]. n A [1640, 566, 947, 1580, 1460]. A = a2 +1 − 0 n (3) [2450]. (A λB) [1414]. 0=1 [1242]. 1 [334]. α [824, 1580]. AN [1622]. A(#) [3439]. − 12 [3037, 2711]. 1 2 [1097]. 1:0 [3043]. 10 AX − XB = C [2195, 2006]. [838]. 11 [1311]. 2 AXD − BXC = E [1101]. B [2144, 1953, 2291, 2162, 3047, 886, 2551, 957, [2187, 1575, 1267, 1409, 1489, 1991, 1191, 2007, 2552, 1832, 949, 3024, 3219, 2194]. 2; 3 979, 1819, 1597, 1823, 1773]. β [824]. BN n − p − − [1490]. 2 1 [320]. 2 1 [100]. 2m 4 [1181]. BS [1773]. BSI [1446]. C0 [2906]. C1 [1105]. 3 [2119, 1953, 2531, 1351, 2551, 1292, [3202]. C2 [3108, 2422, 3000, 2036]. χ2 1793, 949, 1356, 2711, 2227, 570]. [30, 31]. Cln(θ); (n ≥ 2) [2929]. cos [228]. D 3; 000; 000; 000 [575, 637]. -
John W. Tukey 1915–2000
John W. Tukey 1915–2000 A Biographical Memoir by David R. Brillinger 2018 National Academy of Sciences. Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. JOHN WILDER TUKEY June 16, 1915–July 26, 2000 Elected to the NAS, 1961 John Wilder Tukey was renowned for research and service in academia, industry, and government. He was born June 16, 1915, in New Bedford, Massachusetts, the only child of Adah M. Takerand Ralph H. Tukey. His parents had grad- uated first and second in the Bates College class of 1898. John had unusual talents from an early age. He could read when he was three, and had remarkable powers of mental calculation. His father had obtained a doctorate in Latin from Yale University and then moved on to teach and be principal at New Bedford High School. His mother was a substitute teacher there. Perhaps as a consequence of these backgrounds, Tukey was schooled at home, but he did attend various classes at the high school. By David R. Brillinger Tukey’s wife, Elizabeth Rapp, was born on March 2, 1920, in Ocean City, New Jersey. She went to Temple Univer- sity and was later valedictorian in the 1944 class in business administration at Radcliffe College. About meeting John, she commented that the first time she saw him he was sitting in the front row of a public lecture asking quite difficult questions of the speaker. They later met at a folkdance class that John was teaching. -
Society Reports USNC/TAM
Appendix J 2008 Society Reports USNC/TAM Table of Contents J.1 AAM: Ravi-Chandar.............................................................................................. 1 J.2 AIAA: Chen............................................................................................................. 2 J.3 AIChE: Higdon ....................................................................................................... 3 J.4 AMS: Kinderlehrer................................................................................................. 5 J.5 APS: Foss................................................................................................................. 5 J.6 ASA: Norris............................................................................................................. 6 J.7 ASCE: Iwan............................................................................................................. 7 J.8 ASME: Kyriakides.................................................................................................. 8 J.9 ASTM: Chona ......................................................................................................... 9 J.10 SEM: Shukla ....................................................................................................... 11 J.11 SES: Jasiuk.......................................................................................................... 13 J.12 SIAM: Healey...................................................................................................... 14 J.13 SNAME: Karr.................................................................................................... -
A Free-Space Adaptive Fmm-Based Pde Solver in Three Dimensions M.Harper Langston, Leslie Greengardand Denis Zorin
Communications in Applied Mathematics and Computational Science A FREE-SPACE ADAPTIVE FMM-BASED PDE SOLVER IN THREE DIMENSIONS M. HARPER LANGSTON, LESLIE GREENGARD AND DENIS ZORIN vol. 6 no. 1 2011 mathematical sciences publishers COMM. APP. MATH. AND COMP. SCI. Vol. 6, No. 1, 2011 msp A FREE-SPACE ADAPTIVE FMM-BASED PDE SOLVER IN THREE DIMENSIONS M. HARPER LANGSTON, LESLIE GREENGARD AND DENIS ZORIN We present a kernel-independent, adaptive fast multipole method (FMM) of arbi- trary order accuracy for solving elliptic PDEs in three dimensions with radiation and periodic boundary conditions. The algorithm requires only the ability to evaluate the Green’s function for the governing equation and a representation of the source distribution (the right-hand side) that can be evaluated at arbitrary points. The performance is accelerated in three ways. First, we construct a piecewise polynomial approximation of the right-hand side and compute far-field expansions in the FMM from the coefficients of this approximation. Second, we precompute tables of quadratures to handle the near-field interactions on adaptive octree data structures, keeping the total storage requirements in check through the exploitation of symmetries. Third, we employ shared-memory parallelization methods and load-balancing techniques to accelerate the major algorithmic loops of the FMM. We present numerical examples for the Laplace, modified Helmholtz and Stokes equations. 1. Introduction Many problems in scientific computing call for the efficient solution to linear partial differential equations with constant coefficients. On regular grids with separable Dirichlet, Neumann or periodic boundary conditions, such equations can be solved using fast, direct methods. -
Calculus Redux
THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA VOLUME 6 NUMBER 2 MARCH-APRIL 1986 Calculus Redux Paul Zorn hould calculus be taught differently? Can it? Common labus to match, little or no feedback on regular assignments, wisdom says "no"-which topics are taught, and when, and worst of all, a rich and powerful subject reduced to Sare dictated by the logic of the subject and by client mechanical drills. departments. The surprising answer from a four-day Sloan Client department's demands are sometimes blamed for Foundation-sponsored conference on calculus instruction, calculus's overcrowded and rigid syllabus. The conference's chaired by Ronald Douglas, SUNY at Stony Brook, is that first surprise was a general agreement that there is room for significant change is possible, desirable, and necessary. change. What is needed, for further mathematics as well as Meeting at Tulane University in New Orleans in January, a for client disciplines, is a deep and sure understanding of diverse and sometimes contentious group of twenty-five fac the central ideas and uses of calculus. Mac Van Valkenberg, ulty, university and foundation administrators, and scientists Dean of Engineering at the University of Illinois, James Ste from client departments, put aside their differences to call venson, a physicist from Georgia Tech, and Robert van der for a leaner, livelier, more contemporary course, more sharply Vaart, in biomathematics at North Carolina State, all stressed focused on calculus's central ideas and on its role as the that while their departments want to be consulted, they are language of science. less concerned that all the standard topics be covered than That calculus instruction was found to be ailing came as that students learn to use concepts to attack problems in a no surprise. -
26 February 2016 ECE 438 Lecture Notes
ECE 438 Lecture Notes Page 1 2/26/2016 Computer Pioneers - James William Cooley 2/26/16, 10:58 AM IEEE-CS Home | IEEE Computer Society History Committee Computer Pioneers by J. A. N. Lee « Cook, Stephen A. index Coombs, Allen W. M. » James William Cooley Born September 18, 1926; with John Tukey, creator of the fast Fourier transform. Education: BA, arts, Manhattan College, 1949; MA, mathematics, Columbia University, 1951; PhD, applied mathematics, Columbia University, 1961. Professional Experience: programmer, Institute for Advanced Study, Princeton University, 1953-1956; research assistant, mathematics, Courant Institute, New York University, 1956-1962; research staff, IBM Watson Research Center, 1962-1991; professor, electrical engineering, University of Rhode Island, 1991-present. Honors and Awards: Contribution Award, Audio and Acoustics Society, 1976; Meritorious Service Award, ASSP Society, 1980; Society Award, Acoustics Speech and Signal Processing, 1984; IEEE Centennial Award, 1984; fellow, IEEE James W. Cooley started his career in applied mathematics and computing when he worked and studied under Professor F.J. Murray at Columbia University. He then became a programmer in the numerical weather prediction group at John von Neumann's computer project at the Institute for Advanced Study in Princeton, New Jersey. [See the biography of Jule Charney.] In 1956, he started working as a research assistant at the Courant Institute at New York University, New York. Here he worked on numerical methods and programming of quantum mechanical calculations (Cooley 1961). This led to his thesis for his PhD degree from Columbia University. In 1962 he obtained a position as a research staff member at the IBM Watson Research Center in Yorktown Heights, New York. -
Januar 2007 FØRSTE DOKTORGRAD I
INFOMATJanuar 2007 Kjære leser! FØRSTE DOKTORGRAD I INFOMAT ønsker alle et godt nytt år. MATEMATIKKDIDAKTIKK Det ble aldri noe desember- nummer. Redaktørens harddisk VED HiA hadde et fatalt sammenbrudd like før Jul og slike hendelser er altså nok til at enkelte ting stopper opp. Våre utmerkede dataingeniører ved Matematisk institutt i Oslo klarte å redde ut alle dataene, og undertegnede lærte en lekse om back-up. Science Magazine har kåret beviset for Poincaré-formod- ningen til årets vitenskapelige gjennombrudd i 2006. Aldri før har en matematikkbegiven- het blitt denne æren til del. Men Foto: Torstein Øen hyggelig er det og det er et vik- tig signal om at det ikke bare er Den 27. november disputerte indiske Sharada Gade for doktorgraden anvendt vitenskap som er be- i matematikk-didaktikk ved Høgskolen i Agder. Dette er den første tydningsfullt for samfunnet. matematikkdidaktikk-doktoren høgskolen har kreert etter at studiet ble HiA har fått kreert sin første opprettet i 2002. doktor i matematikkdidaktikk og er på full fart mot universi- Dermed er et viktig krav for å ta steget opp i universitetsklassen opp- tetsstatus! Vi gratulerer både fylt. HiA må levere doktorgrader i andre fag enn nordisk og det sørget høgskolen og den nye doktoren Sharada Gade for. Hennes avhandling dreier seg om viktigheten av Sharada Gade. mening, mål og lærerens rolle i matematikkundervisningen. hilsen Arne B. INFOMAT kommer ut med 11 nummer i året og gis ut av Norsk Matematisk Forening. Deadline for neste utgave er alltid den 10. i neste måned. Stoff til INFOMAT sendes til infomat at math.ntnu.no Foreningen har hjemmeside http://www.matematikkforeningen.no/INFOMAT Ansvarlig redaktør er Arne B.