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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.
|Series:||University of Arkansas Lecture Notes in the Mathematical Sciences Series , #1|
|Product dimensions:||6.22(w) x 9.25(h) x 0.87(d)|
Table of Contents
Some Sample Problems.
Some Background Material.
Solution Manifolds and Their Parameterizations.
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.