Numerical Analysis 1995

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CRC Press, Apr 11, 1996 - Mathematics - 248 pages
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This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.
 

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Contents

Moving mesh
1
Multidimensional schemes
19
ODE solving via automatic differentiation
36
Discretised eigenvalue problems
57
How mathematics can help in design
76
Variational error bounds for radial basis functions
94
Finite volume methods
123
Orthogonal eigenvectors without GramSchmidt
140
Fas robust solvers
154
A posteriori error analysis and global error control
169
Direct search methods once scorned now respectable
191
L R Petzold Computational challenges in the solution
209
List of Contributed Talks
225
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Univ. of Dundee.

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