Numerical Analysis 1997

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CRC Press, Dec 5, 1997 - Mathematics - 264 pages
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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.
 

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Contents

Adaptive finite elements
1
Symmetry based numerical methods
16
On the local behavior of
37
Stability of Householder QR factorization
57
J E Flaherty R M Loy M Dindar M S Shephard B K Szymanski
74
Block triangular orderings and factors for sparse matrices in LP
91
Longtime step methods
111
On the role of the left starting vector in the twosided
124
Order barriers for symplectic multivalue methods
133
A numerical analyst looks at the cutoff
150
Finite volume schemes in multidimensions
179
Trust region calculations revisited
193
The search for a good basis
212
The convergence of iterative
230
List of Contributed Talks
244
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Univ. of Dundee.

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