Convergence of implicit finite difference methods applied to nonlinear mixed systems
(1996) In SIAM Journal on Numerical Analysis 33(3). p.997-1013- Abstract
- A new technique to prove convergence of finite difference methods applied to nonlinear PDEs arising in computational fluid dynamics is presented. The underlying systems may be hyperbolic, parabolic or of mixed type like the Navier-Stokes equations. Implicit finite difference methods are analyzed. The essential idea leading to success is the introduction of a pilot function that is highly attractive to the numerical approximation and converges itself to the solution of the underlying system.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1224381
- author
- Schroll, Achim LU
- publishing date
- 1996
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- stability and convergence, mixed system, finite difference method
- in
- SIAM Journal on Numerical Analysis
- volume
- 33
- issue
- 3
- pages
- 997 - 1013
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- scopus:0348090276
- ISSN
- 0036-1429
- DOI
- 10.1137/0733049
- language
- English
- LU publication?
- no
- id
- 4a6444a7-94cf-47ca-b67b-723afed0c1e0 (old id 1224381)
- alternative location
- http://www.jstor.org/sici?sici=0036-1429(199606)33%3A3%3C997%3ACOIFDM%3E2.0.CO%3B2-&origin=ISI&cookieSet=1
- date added to LUP
- 2016-04-01 16:13:16
- date last changed
- 2022-01-28 18:12:09
@article{4a6444a7-94cf-47ca-b67b-723afed0c1e0, abstract = {{A new technique to prove convergence of finite difference methods applied to nonlinear PDEs arising in computational fluid dynamics is presented. The underlying systems may be hyperbolic, parabolic or of mixed type like the Navier-Stokes equations. Implicit finite difference methods are analyzed. The essential idea leading to success is the introduction of a pilot function that is highly attractive to the numerical approximation and converges itself to the solution of the underlying system.}}, author = {{Schroll, Achim}}, issn = {{0036-1429}}, keywords = {{stability and convergence; mixed system; finite difference method}}, language = {{eng}}, number = {{3}}, pages = {{997--1013}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal on Numerical Analysis}}, title = {{Convergence of implicit finite difference methods applied to nonlinear mixed systems}}, url = {{http://dx.doi.org/10.1137/0733049}}, doi = {{10.1137/0733049}}, volume = {{33}}, year = {{1996}}, }