UID:
edocfu_9958354017302883
Format:
1 online resource(xvi,354p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110321463
Content:
Applied mathematical modeling isconcerned with solving unsteady problems. This bookshows how toconstruct additive difference schemes to solve approximately unsteady multi-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods)and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations. The book iswritten for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
Notation --
,
1. Introduction --
,
2. Stability of operator-difference schemes --
,
3. Operator splitting --
,
4. Additive schemes of two-component splitting --
,
5. Schemes of summarized approximation --
,
6. Regularized additive schemes --
,
7. Schemes based on approximations of a transition operator --
,
8. Vector additive schemes --
,
9. Iterative methods --
,
10. Splitting of the operator at the time derivative --
,
11 Equations with pairwise adjoint operators --
,
Bibliography --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110321432
Additional Edition:
ISBN 9783110321470
Language:
English
DOI:
10.1515/9783110321463
URL:
https://doi.org/10.1515/9783110321463
