Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.

Rudolf Bodenmann; Achim Schroll

Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.

Rudolf Bodenmann, Achim Schroll

External Organization - Unknown

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

An initial-boundary value problem to a system of nonlinear partial differential equations, which consists of a hyperbolic and a parabolic part, is taken into consideration. The problem is discretised by a compact finite difference method. An approximation of the numerical solution is constructed, at which the difference scheme is linearised. Nonlinear convergence is proved using the stability of the linearised scheme

Original language	English
Title of host publication	Z. Angew. Math. Mech.
Publisher	Akademie Verlag
Pages	359-360
Volume	76
Publication status	Published - 1996
Externally published	Yes

Publication series

Name
Number	Suppl. 1
Volume	76
ISSN (Print)	1521-4001
ISSN (Electronic)	0044-2267

Subject classification (UKÄ)

Mathematics

Cite this

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title = "Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.",

abstract = "An initial-boundary value problem to a system of nonlinear partial differential equations, which consists of a hyperbolic and a parabolic part, is taken into consideration. The problem is discretised by a compact finite difference method. An approximation of the numerical solution is constructed, at which the difference scheme is linearised. Nonlinear convergence is proved using the stability of the linearised scheme",

author = "Rudolf Bodenmann and Achim Schroll",

year = "1996",

language = "English",

volume = "76",

publisher = "Akademie Verlag",

number = "Suppl. 1",

pages = "359--360",

booktitle = "Z. Angew. Math. Mech.",

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TY - GEN

T1 - Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.

AU - Bodenmann, Rudolf

AU - Schroll, Achim

PY - 1996

Y1 - 1996

N2 - An initial-boundary value problem to a system of nonlinear partial differential equations, which consists of a hyperbolic and a parabolic part, is taken into consideration. The problem is discretised by a compact finite difference method. An approximation of the numerical solution is constructed, at which the difference scheme is linearised. Nonlinear convergence is proved using the stability of the linearised scheme

AB - An initial-boundary value problem to a system of nonlinear partial differential equations, which consists of a hyperbolic and a parabolic part, is taken into consideration. The problem is discretised by a compact finite difference method. An approximation of the numerical solution is constructed, at which the difference scheme is linearised. Nonlinear convergence is proved using the stability of the linearised scheme

M3 - Paper in conference proceeding

VL - 76

SP - 359

EP - 360

BT - Z. Angew. Math. Mech.

PB - Akademie Verlag

ER -

Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.

Abstract

Publication series

Subject classification (UKÄ)

Fingerprint

Cite this