Numerical analysis 1997
著者
書誌事項
Numerical analysis 1997
（Pitman research notes in mathematics series, 380）
Addison Wesley Longman, 1998
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注記
"Proceedings of the 17th Dundee Biennial Conference, June 24-27, 1997"
Includes bibliographies
内容説明・目次
内容説明
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.
目次
- 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.
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