Numerical Analysis of Parameterized Nonlinear Equations (University of Arkansas Lecture Notes in the Mathematical Sciences, Vol 7)

Numerical Analysis of Parameterized Nonlinear Equations (University of Arkansas Lecture Notes in the Mathematical Sciences, Vol 7)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 299 p.
  • 言語 ENG,ENG
  • 商品コード 9780471888147
  • DDC分類 515.355

Full Description


One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters, and 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.