Error Control and Adaptivity in Scientific Computing

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...

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Bibliographic Details
Other Authors: Bulgak, Haydar (Editor), Zenger, Christoph (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1999, 1999
Edition:1st ed. 1999
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Interval Arithmetic Tools for Range Approximation and Inclusion of Zeros
  • A New Concept of Construction of Adaptive Calculation Models for Hyperbolic Problems
  • Error Estimates in Linear Systems
  • Error Estimates in Padé Approximation
  • Error Estimates and Convergence Acceleration
  • Pseudoeigenvalues Spectral Portrait of a Matrix and their Connections with Different Criteria of Stability
  • Error Control for Adaptive Sparse Grids
  • Orthogonal Matrix Decompositions in Systems and Control
  • Model Reduction of Large-Scale Systems, Rational Krylov versus Balancing Techniques
  • Adaptive Symplectic and Reversible Integrators
  • Domain Decomposition Methods for Compressible Flows
  • Error Control in Finite Element Computations. An introduction to error estimation and mesh-size adaption
  • Verified Solution of Large Linear and Nonlinear Systems
  • The Accuracy of Numerical Models for Continuum Problems
  • Domain Decomposition Methods for Elliptic Partial Differential Equations