Cover image for Numerical analysis of parametrized nonlinear equations
Title:
Numerical analysis of parametrized nonlinear equations
Personal Author:
Series:
University of Arkansas lectures notes in the mathematical science ; 7
Publication Information:
New York : A Wiley-Intersc. Pub., 1985
ISBN:
9780471888147

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30000000208524 QA372 R53 1985 Open Access Book Book
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Summary

Summary

One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters. Shows how these equations can be developed on a differential geometric basis. Topics include equilibrium manifolds, path-tracing on manifolds, aspects of computational stability analysis, discretization errors of parameterized equations, and computational error assessment and related questions.


Table of Contents

Some Sample Problems
Some Background Material
Solution Manifolds and Their Parameterizations
Discretization Errors
One-Distributions and Augmented Equations
A Continuation Method
Some Numerical Examples
The Computation of Limit Points
Differential Equations on Manifolds
Error Estimates and Related Topics
References
Appendix
Index