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Book of Abstracts GAMM International Association of Applied Mathematics and Mechanics IMACS International Association for Mathematics and Computers in Simulation 13th International Symposium on Scienti¯c Computing Computer Arithmetic and Veri¯ed Numerical Computations SCAN'2008 El Paso, Texas September 29 { October 3, 2008 ABSTRACTS Published in El Paso, Texas July 2008 1 2 Contents Preface....................................................................................... 8 Mohammed A. Abutheraa and David Lester, \Machine-E±cient Chebyshev Approximation for Standard Statistical Distribution Functions" . 9 GÄotzAlefeld and Guenter Mayer, \On the interval Cholesky method" . 11 GÄotzAlefeld and Zhengyu Wang, \Bounding the Error for Approximate Solutions of Almost Linear Complementarity Problems Using Feasible Vectors" . 12 Rene Alt, Jean-Luc Lamotte, and Svetoslav Markov, "On the accuracy of the CELL processor" . 13 Roberto Araiza, \Using Intervals for the Concise Representation of Inverted Repeats in RNA" .................................................................................... 15 Ekaterina Auer and Wolfram Luther, \Veri¯cation and Validation of Two Biomechanical Problems" . 16 Ali Baharev and Endre R¶ev,\Comparing inclusion techniques on chemical engineering problems" . 17 Neelabh Baijal and Luc Longpr¶e,\Preserving privacy in statistical databases by using intervals instead of cell suppression" . 19 Bal¶azsB¶anhelyiand L¶aszl¶oHatvani, \A computer-assisted proof for stable/unstable behaviour of periodic solutions for the forced damped pendulum" . 20 Moa Belaid, \A Uni¯ed Interval Constraint Framework for Crisp, Soft, and Parametric Constraints" . 21 Moa Belaid, \Box Satisfaction and Unsatisfaction for Solving Interval Constraint Systems" . 22 Frithjof Blomquist, \Staggered Correction Computations with Enhanced Accuracy and Extremely Wide Exponent Range" . 24 Gerd Bohlender and Ulrich W. Kulisch, \Complete Interval Arithmetic and its Implementation on the Computer" . 26 Chin-Yun Chen, \Bivariate Product Cubature Using Peano Kernels For Local Error Estimates" . 27 Darrell Cheu and Luc Longpr¶e,\Possibility of Objective Interval Uncertainty in Physics: Analysis" . 28 Ruey Long Cheu, Gang Xiang, Sanjay Bhupathiraju, and Hao Lei, \A Practical Tra±c Assignment Modeling Approach with Flexible Departure Time Choice and Travel Time Uncertainty" . 30 Tibor Csendes, L¶aszl¶oP¶al,and Mih¶alyCsaba Mark¶ot,\A global optimization algorithm for Intlab" .................................................................................. 31 Marc Daumas, Erik Martin-Dorel, and Annick Tru®ert, "Formal methods for rare failures of long processes" . 33 Laurent-Stephane Didier, \A statistical method of range estimation for embedded applications" . 34 3 G.P. Dimuro, R.H.S. Reiser, B.C. Bedregal, and R.H.N. Santiago, \Analyzing the Relations between Interval-valued D-Implications, QL-Implications and Automorphisms" . 35 Gabriel Dos Reis, \Exact Numerics in a Categorial Framework" . 37 Eva Dyllong and Wolfram Luther, \Convex Decomposition of Interval-Based Octrees" . 39 Joshua A. Enszer and Mark A. Stadtherr, \Veri¯ed Solution and Propagation of Uncertainty in Physiological Models" . 41 Scott Ferson, \Veri¯ed Computation with Probability Distributions, with Applications to Engineering and Superfund Contamination Sites" . 43 Mukund Y. Gokhale and Moosa Ebadi, \Solving ODEs via New Implicit Methods and Jacobian-Free Newton-Krylov Solver" . 45 Igor I. Gorban, \Theory of Hyper-Random Phenomena" . 47 Frederic Goualard, \Interval Multivalued Inverse Functions: algorithms and applications" . 49 Eric Goubault and Sylvie Putot, \Inner and outer approximation of functionals using generalized a±ne forms" . 50 Stef Graillat, \Accurate simple zeros of polynomials" . 52 Stef Graillat, Jean-Luc Lamotte, Siegfried M. Rump, and Svetoslav Markov, \Interval arithmetic on the Cell processor" . 54 Kouji Hashimoto and Mitsuhiro T. Nakao, \Constructive a priori and a posteriori error estimates for bi-harmonic problems" . 55 Sandeep Hattangady, William Edmonson, and Winser Alexander, \Block Floating Point Interval ALU for Digital Signal Processing" . 56 Claude-Pierre Jeannerod, Nicolas Louvet, Nathalie Revol, and Gilles Villard, \Computing Condition Numbers with Automatic Di®erentiation" . 57 Lev Kapitanski and Sanja Zivanovic, \Dynamics with a Range of Choice" . 59 Sebastian Kempken and Wolfram Luther, \Interval-based Analysis of Large SMP/GI/1 Queues" .................................................................................... 60 T. Kinoshita, Y. Kimura, K. Tomura, and M. T. Nakao, \Numerical veri¯cation of solutions for boundary value problems with high accuracy by using spectral method" . 62 Olga Kosheleva and Fran»coisModave, \Asymmetric (Libertarian) Paternalism: Explanation Based on Decisions Under Interval Uncertainty, and Possible Applications to Education" . 63 Walter KrÄamer,\Solving large banded systems of linear equations with componentwise small error bounds" . 65 Bartlomiej Jacek Kubica, \Interval methods for solving underdetermined nonlinear equations systems" . 66 Philippe Langlois and Nicolas Louvet, \Accurate solution of triangular linear system" . 68 Tanja Mago·c,Martine Ceberio, and Fran»coisModave, \Applications of Constraints and Fuzzy Measures in Finance" . 70 Tanja Mago·c,Martine Ceberio, and Fran»coisModave, \Using Preference Constraints to Solve Multi-criteria Decision Making Problems" . 71 4 Teruya Minamoto, \A Digital Watermarking Method Using Interval Arithmetic". 72 Shinya Miyajima, \Enclosing All Eigenvalues in Generalized Eigenvalue Problem". 73 Ra¯ Muhanna, \Interval Finite Elements and Uncertainty in Engineering Analysis" . 75 Robert L. Mullen, Ra¯ L. Muhanna, and Mehdi Modares, \Exact Hull of Linear Interval Equations with Matricies Arising from Engineering Applications" . 77 Dmitry Nadezhin, \A Di®erential Inequalities method for Veri¯ed Solution of IVPs for ODEs using Linear Programming for the Search of Tight Bounds" . 78 K. Nagatou, Y. Watanabe, S. Yamamoto, and T. Kinoshita, \Validated computations for elliptic systems of FitzHugh-Nagumo type" . 80 P. S. V. Nataraj and M. Arounassalame, \An Interval Newton Method based on the Bernstein Form for Bounding the Zeros of Polynomial Systems". 81 P. S. V. Nataraj and Shanta Sondur, \The Extrapolated Taylor Model". 82 Markus Neher, Ken Jackson, and Ned Nedialkov, \On the Blunting Method in Veri¯ed Integration of ODEs" . 83 Hong Diep Nguyen and Nathalie Revol, \Solving and Certifying the Solution of a Linear System"..................................................................................... 84 Takeshi Ogita, \Veri¯ed Numerical Computation of Matrix Determinant" . 86 Shin'ichi Oishi, "Accurate and Fast Sum of Floating Point Numbers and Applications to Veri¯cation Algorithms". X !!! add before, change all page numbers 88 Juli¶anOrtiz-P¶erez,\Interval Computations are Also Useful for Statistical Estimates" . 90 Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi, \Tight inclusion of matrix multiplication and its portable implementation" . 91 Edgar Padilla, Essau Ramirez, Angel Silva, Cesar Valenzuela, Martine Ceberio, \Gait Analysis using Optimization and Constraint Programming Techniques" . 93 Irina Per¯lieva, Roumen Anguelov, Vladik Kreinovich, and Matt Averill, \From Gauging Accuracy of Quantity Estimates to Gauging Accuracy and Resolution of Field Measurements: Geophysical Case Study" . 95 Valeriy Perminov, \Numerical solution of problem of large forest ¯res initiation" . 97 Ivan Petkovi¶c,\Computational aspects of the implementation of disk inversions" . 99 Ljiljana Petkovi¶cand Ivan Petkovi¶c,\Diametrical circular form of elementary functions and its applications" . 100 Miodrag S. Petkovi¶cand Du·sanM. Milo·sevi¶c,\Higher order methods for the inclusion of multiple zeros of polynomials" . 101 Paulo Pinheiro da Silva and Vladik Kreinovich, \Uncertainty processing in cyberinsfrastructure, with applications to geosciences and to environmental science" . 102 Michael Plum, \A Computer-Assisted Band-Gap Proof for 3D Photonic Crystals" . 103 Andrzej Pownuk and Naveen Kumar Goud Ramunigari, \Application of order-preserving functions to the modelling of computational mechanics problems with uncertainty" . 105 5 Manoj Kumar Ragupathy and Ranga Vemuri, \On the theory behind interval and a±ne splitting with extrapolation". 107 M. V. Rama Rao, Andrzej Pownuk, and David Moens, \Stress analysis of a doubly reinforced concrete beam with.
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