Developments in Reliable Computing by Tibor CsendesDevelopments in Reliable Computing by Tibor Csendes

Developments in Reliable Computing

EditorTibor Csendes

Paperback | December 1, 2010

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The present volume contains 30 articles presented at SCAN-98, Budapest, Hungary. These papers cover all aspects of validation techniques in scientific computing, ranging from hardware requirements, elementary operations, high accuracy function evaluations and interval arithmetic to advanced validating techniques and applications in various fields of practical interest. Audience: This book is of interest to researchers and graduate students whose work involves validation techniques in scientific computing.
Title:Developments in Reliable ComputingFormat:PaperbackDimensions:410 pagesPublished:December 1, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048153506

ISBN - 13:9789048153503

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Table of Contents

Preface. Rigorous Global Search: Industrial Applications; G.F. Corliss, R.B. Kearfott. Influences of Rounding Errors in Solving Large Sparse Linear Systems; A. Facius. A Hardware Approach to Interval Arithmetic for Sine and Cosine Functions; J. Hormigo, et al. Towards an Optimal Control of the Wrapping Effect; W. Kühn. On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher's Interval Arithmetic; A.V. Lakeyev. A Comparison of Subdivision Strategies for Verified Multi-Dimensional Gaussian Quadrature; B. Lang. INTLAB - INTerval LABoratory; S.M. Rump. Verified Calculation of the Solution of Algebraic Riccati Equation; W. Luther, W. Otten. Expression Concepts in Scientific Computing; M. Lerch. Performance Evaluation Technique STU and libavi Library; R. Sagula, et al. Single-Number Interval I/O; M. Schulte, et al. Interval Analysis for Embedded Systems; K. Musch, G. Schumacher. Prediction by Extrapolation for Interval Tightening Methods; Y. Lebbah, O. Lhomme. The Contribution of T. Sunaga to Interval Analysis and Reliable Computing; S. Markov, K. Okumura. Surface-to-Surface Intersection with Complete and Guaranteed Results; E. Hubert, W. Barth. An Algorithm that Computes a Lower Bound on the Distance Between a Segment and Z2; V. Lefèvre. Verified Computation of Fast Decreasing Polynomials; N.S. Dimitrova, S.M. Markov. An Accurate Distance-Calculation Algorithm for Convex Polyhedra; E. Dyllong, et al. Verified Error Bounds for Linear Systems through the Lanczos Process; A. Frommer, A. Weinberg. A Representation of the Interval Hull of a Tolerance Polyhedron Describing Inclusions of Function Values and Slopes; G. Heindl. A Few Results on Table-Based Methods; J.-M. Muller. An Interval Hermite-Obreschkoff Method for Computing Rigorous Bounds on the Solution of an Initial Value Problem for an Ordinary Differential Equation; N.S. Nedialkov, K.R. Jackson. The Interval-Enhanced GNU Fortran Compiler; M. Schulte, et al. Outer Estimation of Generalized Solution Sets to Interval Linear Systems; S.P. Shary. A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic; A. Strzebonski. A Numerical Verification Method of Solutions for the Navier-Stokes Equations; Y. Watanabe, et al. Convex Sets of Full Rank Matrices; B. Kolodziejczak, T. Szulc. Multiaspect Interval Types; M. Lerch, J.W. von Gudenberg. MATLAB-Based Analysis of Roundoff Noise; R. Dunay, I. Kollár. SCAN-98 Collected Bibliography; G.F. Corliss.