Theories And Methods For Solving Nonlinear Equations And Its Application In Singularly Perturbed Problems

Posted on:2002-12-03

Degree:Doctor

Type:Dissertation

Country:China

Candidate:K W Liang

Full Text:PDF

GTID:1100360095961704

Subject:Computational Mathematics

Abstract/Summary:

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This dissertation mainly consists of two parts.There are four chapters in first part.Â·Analhsis of the convergence for Hansen and patrick iterative methodsÂ·Deformed Hansen and Patrick iterative methodsÂ·The local convergence of Secant methodÂ·Global behavior for algorithms with one parameterThere are two chapters in second part.Â·The direct solving of singularly perturbed problemsÂ·The finite difference method of singularly perturbed problems...

Keywords/Search Tags:

Nonlinear equations, A family of Hansen and Patrick methods, Convergence, Deformed iterations, False convergent phenomenon, Global behavior, Difference method, Singularly perturbed problems

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