Dimension splitting for time dependent operators
(2009) In Discrete and Continuous Dynamical Systems. Series A 2009 suppl.. p.322-332- Abstract
- In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We introduce a framework that allows us to analyze the popular Lie, Peaceman-Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of
boundary conditions is discussed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1528578
- author
- Hansen, Eskil LU and Ostermann, Alexander
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- convergence, variable time steps, dimension splitting, Nonautonomous linear problems, Lie splitting, exponential splitting, stability, Peaceman-Rachford splitting
- in
- Discrete and Continuous Dynamical Systems. Series A
- volume
- 2009 suppl.
- pages
- 322 - 332
- publisher
- American Institute of Mathematical Sciences
- ISSN
- 1553-5231
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- bd59cded-ab01-4a7f-95b8-32ebd5427d99 (old id 1528578)
- alternative location
- http://aimsciences.org/journals/pdfs.jsp?paperID=4622&mode=full
- date added to LUP
- 2016-04-01 13:55:46
- date last changed
- 2018-11-21 20:21:20
@article{bd59cded-ab01-4a7f-95b8-32ebd5427d99, abstract = {{In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We introduce a framework that allows us to analyze the popular Lie, Peaceman-Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of<br/><br> boundary conditions is discussed.}}, author = {{Hansen, Eskil and Ostermann, Alexander}}, issn = {{1553-5231}}, keywords = {{convergence; variable time steps; dimension splitting; Nonautonomous linear problems; Lie splitting; exponential splitting; stability; Peaceman-Rachford splitting}}, language = {{eng}}, pages = {{322--332}}, publisher = {{American Institute of Mathematical Sciences}}, series = {{Discrete and Continuous Dynamical Systems. Series A}}, title = {{Dimension splitting for time dependent operators}}, url = {{http://aimsciences.org/journals/pdfs.jsp?paperID=4622&mode=full}}, volume = {{2009 suppl.}}, year = {{2009}}, }