Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence

Hans Mittelmann

doi:10.1016/0096-3003(86)90107-4

Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence

Hans Mittelmann

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A new technique is described to continue along solution branches of parameter- dependent nonlinear boundary value problems in order to obtain accurate multigrid solutions at specified points. In particular, the implementation for a general class of second order equations in divergence form in the program PLTMG is described and analyzed. This method has proven to be very robust and efficient, as is illustrated by several examples.

Original language	English (US)
Pages (from-to)	265-282
Number of pages	18
Journal	Applied Mathematics and Computation
Volume	19
Issue number	1-4
DOIs	https://doi.org/10.1016/0096-3003(86)90107-4
State	Published - Jul 1986

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(86)90107-4

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title = "Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence",

abstract = "A new technique is described to continue along solution branches of parameter- dependent nonlinear boundary value problems in order to obtain accurate multigrid solutions at specified points. In particular, the implementation for a general class of second order equations in divergence form in the program PLTMG is described and analyzed. This method has proven to be very robust and efficient, as is illustrated by several examples.",

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AB - A new technique is described to continue along solution branches of parameter- dependent nonlinear boundary value problems in order to obtain accurate multigrid solutions at specified points. In particular, the implementation for a general class of second order equations in divergence form in the program PLTMG is described and analyzed. This method has proven to be very robust and efficient, as is illustrated by several examples.

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Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence

Abstract

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