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Error Control and Adaptivity in Scientific Computing : NATO Science Series C - Haydar Bulgak

Error Control and Adaptivity in Scientific Computing

NATO Science Series C

By: Haydar Bulgak (Editor), Christoph Zenger (Editor)

Paperback

Published: 30th June 1999
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One of the main ways by which we can understand complex processes is to create computerised numerical simulation models of them. Modern simulation tools are not used only by experts, however, and reliability has therefore become an important issue, meaning that it is not sufficient for a simulation package merely to print out some numbers, claiming them to be the desired results. An estimate of the associated error is also needed. The errors may derive from many sources: errors in the model, errors in discretization, rounding errors, etc.
Unfortunately, this situation does not obtain for current packages and there is a great deal of room for improvement. Only if the error can be estimated is it possible to do something to reduce it. The contributions in this book cover many aspects of the subject, the main topics being error estimates and error control in numerical linear algebra algorithms (closely related to the concept of condition numbers), interval arithmetic and adaptivity for continuous models.

Preface
List of Contributors
Subject Index
Interval Arithmetic Tools for Range Approximation and Inclusion of Zerosp. 1
A New Concept of Construction of Adaptive Calculation Models for Hyperbolic Problemsp. 23
Error Estimates in Linear Systemsp. 65
Error Estimates in Pade Approximationp. 75
Error Estimates and Convergence Accelerationp. 87
Pseudoeigenvalues Spectral Portrait of a Matrix and their Connections with Different Criteria of Stabilityp. 95
Error Control for Adaptive Sparse Gridsp. 125
Orthogonal Matrix Decompositions in Systems and Controlp. 159
Model Reduction of Large-Scale Systems, Rational Krylov versus Balancing Techniquesp. 177
Adaptive Symplectic and Reversible Integratorsp. 191
Domain Decomposition Methods for Compressible Flowsp. 221
Error Control in Finite Element Computations. An introduction to error estimation and mesh-size adaptionp. 247
Verified Solution of Large Linear and Nonlinear Systemsp. 279
The Accuracy of Numerical Models for Continuum Problemsp. 299
Domain Decomposition Methods for Elliptic Partial Differential Equationsp. 325
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792358091
ISBN-10: 0792358090
Series: NATO Science Series C
Audience: General
Format: Paperback
Language: English
Number Of Pages: 354
Published: 30th June 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51  x 1.91
Weight (kg): 0.57