This book forms a valuable guide to the direction in which current numerical analysis research is heading. It will be of particular interest to graduate students and researchers concerned with the theoretical and practical issues associated with scientific computation. The main topics include ordinary and partial differential equations, fluid flow, optimization, linear algebra, and approximation theory. Two recurring themes are the need for adaptive and structure preserving numerical methods. The work presented here has a list of direct applications that include colliding black holes, molecular dynamics, blow-up problems, and card shuffling.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
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Höhe: 280 mm
Breite: 210 mm
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ISBN-13
978-0-582-31261-6 (9780582312616)
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Schweitzer Klassifikation
Autor*in
University of Dundee, Dundee, Scotland
University of Dundee, Dundee, Scotland
Adaptive finite elements and colliding black holes; symmetry based numerical methods for partial differential equations; on the local behaviour of an interior point method for nonlinear programming; stability of householder QR factorization for weighted least squares problems; an adaptive and parallel framework for partial differential equations; block triangular orderings and factors for sparse matrices in LP; long-time step methods for oscillatory differential equations; on the role of the left starting vector in the two-sided Lanczos algorithm and nonsymmetric linear system solvers; order barriers for symplectic multi-value methods; a numerical analyst looks at the "cutoff phenomenon" in card shuffling and other Markov chains; finite volume schemes in multidimensions; trust region calculations revisited; the search for a good basis; the convergence of iterative solution methods for symmetric and indefinite linear systems.
