Overview

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.

Full Product Details

Author:   Tibor Csendes
Publisher:   Springer
Imprint:   Springer
Edition:   1999 ed.
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   1.670kg
ISBN:  

9780792360575

ISBN 10:   0792360575
Pages:   404
Publication Date:   31 January 2000
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Rigorous Global Search: Industrial Applications.- Influences of Rounding Errors in Solving Large Sparse Linear Systems.- A Hardware Approach to Interval Arithmetic for Sine and Cosine Functions.- Towards an Optimal Control of the Wrapping Effect.- On Existence and Uniqueness of Solutions of Linear Algebraic Equations in Kaucher’s Interval Arithmetic.- A Comparison of Subdivision Strategies for Verified Multi-Dimensional Gaussian Quadrature.- INTLAB — INTerval LABoratory.- Verified Calculation of the Solution of Algebraic Riccati Equation.- Expression Concepts in Scientific Computing.- Performance Evaluation Technique STU and libavi Library.- Single-Number Interval I/O.- Interval Analysis for Embedded Systems.- Prediction by Extrapolation for Interval Tightening Methods.- The Contribution of T. Sunaga to Interval Analysis and Reliable Computing.- Surface-to-Surface Intersection with Complete and Guaranteed Results.- An Algorithm that Computes a Lower Bound on the Distance Between a Segment and ?2.- Comparing Partial Consistencies.- Verified Computation of Fast Decreasing Polynomials.- An Accurate Distance-Calculation Algorithm for Convex Polyhedra.- Verified Error Bounds for Linear Systems through the Lanczos Process.- A Representation of the Interval Hull of a Tolerance Polyhedron Describing Inclusions of Function Values and Slopes.- A Few Results on Table-Based Methods.- An Interval Hermite-Obreschkoff Method for Computing Rigorous Bounds on the Solution of an Initial Value Problem for an Ordinary Differential Equation.- The Interval-Enhanced GNU Fortran Compiler.- Outer Estimation of Generalized Solution Sets to Interval Linear Systems.- A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic.- A Numerical Verification Method ofSolutions for the Navier-Stokes Equations.- Convex Sets of Full Rank Matrices.- Multiaspect Interval Types.- MATLAB-Based Analysis of Roundoff Noise.- SCAN-98 Collected Bibliography.

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