Additive Operator-Difference Schemes : : Splitting Schemes /

Additive Operator-Difference Schemes : : Splitting Schemes / / Petr N. Vabishchevich.

Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-...

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Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Vabishchevich, Petr N.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2014
Year of Publication:2013
Language:English
Online Access:
Physical Description:1 online resource (354 p.)
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100 1 |a Vabishchevich, Petr N.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Additive Operator-Difference Schemes :  |b Splitting Schemes /  |c Petr N. Vabishchevich. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2013] 
264 4 |c ©2014 
300 |a 1 online resource (354 p.) 
336 |a text  |b txt  |2 rdacontent 
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505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t Notation --   |t 1. Introduction --   |t 2. Stability of operator-difference schemes --   |t 3. Operator splitting --   |t 4. Additive schemes of two-component splitting --   |t 5. Schemes of summarized approximation --   |t 6. Regularized additive schemes --   |t 7. Schemes based on approximations of a transition operator --   |t 8. Vector additive schemes --   |t 9. Iterative methods --   |t 10. Splitting of the operator at the time derivative --   |t 11 Equations with pairwise adjoint operators --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting 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 is written for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) 
650 0 |a Boundary value problems. 
650 0 |a Differential operators. 
650 0 |a Initial value problems. 
650 0 |a Mathematical models. 
650 4 |a Additive Operator-Differential Schemata. 
650 7 |a MATHEMATICS / General.  |2 bisacsh 
653 |a Iterative Methods. 
653 |a Operator Splitting. 
653 |a Regularized Additive Schemes. 
653 |a Summarized Approximation. 
653 |a Transition Operator Approximations. 
653 |a Two-Component Splitting. 
653 |a Vector Additive Schemes. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Backlist Complete English Language 2000-2014 PART1  |z 9783110238570 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Backlist Mathematics 2000-2014 (EN)  |z 9783110238471 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Mathematics - 2000 - 2014  |z 9783110637205  |o ZDB-23-GMA 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013  |z 9783110317350  |o ZDB-23-DGG 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013  |z 9783110317282  |o ZDB-23-DMI 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013  |z 9783110317275  |o ZDB-23-DMP 
776 0 |c print  |z 9783110321432 
856 4 0 |u https://doi.org/10.1515/9783110321463 
856 4 0 |u https://www.degruyter.com/isbn/9783110321463 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9783110321463/original 
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