Error Control and Adaptivity in Scientific Computing

Preface. List of contributors. Subject Index. Interval Arithmetic Tools for Range Approximation and Inclusion of Zeros; G. Alefeld. A New Concept of Construction of Adaptive Calculation Models for Hyperbolic Problems; A.M. Blokhin. Error Estimates in Linear Systems; C. Brezinski. Error Estimates in Padé Approximation; C. Brezinski. Error Estimates and Convergence Acceleration; C. Brezinski. Pseudoeigenvalues, Spectral Portrait of a Matrix and their Connections with Different Criteria of Stability; H. Bulgak. Error Control for Adaptive Sparse Grids; H.J. Bungartz, C. Zenger. Orthogonal Matrix Decompositions in Systems and Control; P.M. van Dooren. Model Reduction of Large-Scale Systems, Rational Krylov versus Balancing Techniques; K.A. Gallivan, et al. Adaptive Symplectic and Reversible Integrators; B. Karasözen. Domain Decomposition Methods for Compressible Flows; A. Quarteroni, A. Valli. Error Control in Finite Element Computations. An introduction to Error Estimation and Mesh-Size Adoption; R. Rannacher. Verified Solution of Large Linear and Nonlinear Systems; S.M. Rump. The Accuracy of Numerical Models for Continuum Problems; S. Steinberg. Domain Decomposition Methods for Elliptic Partial Differential Equations; O.B. Widlund.