Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/151920
Additive splitting methods for parallel solutions of evolution problems
Publication Type (CRIS)
Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)
Publication Type (eLABa)
Straipsnis Web of Science DB / Web of Science DB article (S1)
VILNIUS TECH Research Priorities and Topics
Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes (FM0101)
Lithuanian Intelligent Specialization
Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies (L106)
Author(s)
| Author | Affiliation | |
|---|---|---|
Amiranashvili, Shalva | Weierstrass Institute, Berlin | |
Radžiūnas, Mindaugas | Weierstrass Institute, Berlin | |
Badelow, Uwe | Weierstrass Institute, Berlin | |
Busch, Kurt | Max-Born-Institut, Berlin | Humboldt University of Berlin |
Title
Additive splitting methods for parallel solutions of evolution problems
Shalva Amiranashvili, Mindaugas Radžiūnas, Uwe Badelow, Kurt Busch, Raimondas Čiegis
Is part of
Journal of computational physics
Published In
| Year | Volume | Issue | Start Page | End Page |
|---|---|---|---|---|
2021 | 436 | 110320 | 1 | 14 |
Publisher
San Diego : Elsevier
Publisher (trusted)
Referenced in Database(s)(DBs)
Extent
p. 1-14
URI
| URI | Access Rights |
|---|---|
| https://hdl.handle.net/20.500.14911/151920 | |
| https://doi.org/10.1016/j.jcp.2021.110320 | Viso teksto dokumentas (prieiga prenumeratoriams) / Full Text Document (Access for Subscribers) |
Cited references
42
Science / Art Area
Gamtos mokslai / Natural Sciences (N)
Field of Science / Art
Matematika / Mathematics (N001)
Abstract (en)
We demonstrate how a multiplicative splitting method of order $P$ can be utilized to construct an additive splitting method of order $P+3$. The weight coefficients of the additive method depend only on $P$, which must be an odd number. Specifically we discuss a fourth-order additive method, which is yielded by the Lie-Trotter splitting. We provide error estimates, stability analysis of a test problem, and numerical examples with special discussion of the parallelization properties and applications to nonlinear optics.
Resource Type (COAR)
TextJournalJournal articleResearch article
Language
Anglų / English (en)
Country
Jungtinės Amerikos Valstijos / United States of America (US)
Owning collection
ISSN (of the container)
0021-9991
1090-2716
WOS
000746492700017
eLABa ID
88958027
Project(s)
German Research Foundation (DFG)
EUROSTARS