Numerical analysis of parametrized nonlinear equations

Bibliographic Information

Numerical analysis of parametrized nonlinear equations

Werner C. Rheinboldt

(University of Arkansas lecture notes in the mathematical sciences, v. 7)

Wiley, c1986

Other Title

Parametrized nonlinear equations

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Note

"A Wiley Interscience publication."

Bibliography: p. [281]-295

Includes index

Description and Table of Contents

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
  • Index.

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