Numerical analysis of parametrized nonlinear equations
著者
書誌事項
Numerical analysis of parametrized nonlinear equations
（University of Arkansas lecture notes in the mathematical sciences, v. 7）
Wiley, c1986
- タイトル別名
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Parametrized nonlinear equations
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注記
"A Wiley Interscience publication."
Bibliography: p. [281]-295
Includes index
内容説明・目次
内容説明
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.
目次
- 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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