Compact difference methods applied to initial-boundary value problems for mixed systems.
(1996) In Numerische Mathematik 73(3). p.291-309- 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, Finally, a computational experiment for a noncompact scheme is presented.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1224384
- author
- Bodenmann, Rudolf and Schroll, Achim LU
- publishing date
- 1996
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- CONVERGENCE
- in
- Numerische Mathematik
- volume
- 73
- issue
- 3
- pages
- 291 - 309
- publisher
- Springer
- external identifiers
-
- scopus:0039468042
- ISSN
- 0029-599X
- DOI
- 10.1007/s002110050194
- language
- English
- LU publication?
- no
- id
- 89006ba5-c9ad-49d3-bc05-27f8b83f5b16 (old id 1224384)
- alternative location
- http://www.springerlink.com/content/xxrrcg4a91awgunu/fulltext.pdf
- date added to LUP
- 2016-04-01 12:01:32
- date last changed
- 2022-01-26 21:45:07
@article{89006ba5-c9ad-49d3-bc05-27f8b83f5b16, 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, Finally, a computational experiment for a noncompact scheme is presented.}}, author = {{Bodenmann, Rudolf and Schroll, Achim}}, issn = {{0029-599X}}, keywords = {{CONVERGENCE}}, language = {{eng}}, number = {{3}}, pages = {{291--309}}, publisher = {{Springer}}, series = {{Numerische Mathematik}}, title = {{Compact difference methods applied to initial-boundary value problems for mixed systems.}}, url = {{http://dx.doi.org/10.1007/s002110050194}}, doi = {{10.1007/s002110050194}}, volume = {{73}}, year = {{1996}}, }