Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.
(1996) 76(Suppl. 1). p.359-360- 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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1224423
- author
- Bodenmann, Rudolf and Schroll, Achim LU
- publishing date
- 1996
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Z. Angew. Math. Mech.
- volume
- 76
- issue
- Suppl. 1
- pages
- 359 - 360
- publisher
- Akademie Verlag
- ISSN
- 1521-4001
- 0044-2267
- language
- English
- LU publication?
- no
- id
- 882c5ab8-8f6f-49dc-84ce-c1cfb55cbbd9 (old id 1224423)
- date added to LUP
- 2016-04-01 12:37:05
- date last changed
- 2018-11-21 20:09:17
@inproceedings{882c5ab8-8f6f-49dc-84ce-c1cfb55cbbd9, 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 = {{Bodenmann, Rudolf and Schroll, Achim}}, booktitle = {{Z. Angew. Math. Mech.}}, issn = {{1521-4001}}, language = {{eng}}, number = {{Suppl. 1}}, pages = {{359--360}}, publisher = {{Akademie Verlag}}, title = {{Outline of a convergence proof for compact difference methods applied to nonlinear initial-boundary value problems.}}, volume = {{76}}, year = {{1996}}, }