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Sergey I. Marty Numerical Methods for Black-Box Software in Computat (Paperback)
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Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Numerical Methods for Black-Box Software in Computational Continu
- Publication Name
- Numerical Methods for Black-Box Software in Computational Continuum Mechanics : Parallel High-Performance Computing
- Title
- Numerical Methods for Black-Box Software in Computational Continu
- Subtitle
- Parallel High-Performance Computing
- Format
- Trade Paperback
- ISBN-10
- 3111317293
- EAN
- 9783111317298
- ISBN
- 9783111317298
- Publisher
- DE Gruyter Gmbh, Walter
- Genre
- Science Nature & Math
- Release Year
- 2023
- Release Date
- 24/10/2023
- Language
- English
- Country/Region of Manufacture
- DE
- Item Height
- 240mm
- Item Length
- 9.4in
- Item Weight
- 9.5 Oz
- Series
- De Gruyter Textbook Ser.
- Publication Year
- 2023
- Type
- Textbook
- Item Width
- 6.7in
- Number of Pages
- 148 Pages
About this product
Product Information
The organization of the material is presented as follows: This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the general requirements for computational grids, discretization, and iterative methods for black-box software are examined. Finally, a concept of a two-grid algorithm for (de-)coupled solving multidimensional non-linear (initial-)boundary value problems in continuum mechanics (multiphysics simulation) in complex domains is presented. Chapter II contains descriptions of the sequential Robust Multigrid Technique which is developed as a general-purpose solver in black-box codes. This chapter presents the main components of the Robust Multigrid Technique (RMT) used in the two-grid algorithm (Chapter I) to compute the auxiliary (structured) grid correction. This includes the generation of multigrid structures, computation of index mapping, and integral evaluation. Finite volume discretization on the multigrid structures will be explained by studying a 1D linear model problem. In addition, the algorithmic complexity of RMT and black-box optimization of the problem-dependent components of RMT are analysed. Chapter III provides a description of parallel RMT. This chapter introduces parallel RMT-based algorithms for solving the boundary value problems and initial-boundary value problems in unified manner. Section 1 presents a comparative analysis of the parallel RMT and the sequential V-cycle. Sections 2 and 3 present a geometric and an algebraic parallelism of RMT, i.e. parallelization of the smoothing iterations on the coarse and the levels. A parallel multigrid cycle will be considered in Section 4. A parallel RMT for the time-dependent problems is given in Section 5. Finally, the basic properties of parallel RMT will be summarized in Section 6. Theoretical aspects of the used algorithms for solving multidimensional problems are discussed in Chapters IV. This chapter contains the theoretical aspects of the algorithms used for the numerical solving of the resulting system of linear algebraic equations obtained from discrete multidimensional (initial-)boundary value problems.
Product Identifiers
Publisher
DE Gruyter Gmbh, Walter
ISBN-10
3111317293
ISBN-13
9783111317298
eBay Product ID (ePID)
15061843774
Product Key Features
Publication Name
Numerical Methods for Black-Box Software in Computational Continuum Mechanics : Parallel High-Performance Computing
Format
Trade Paperback
Language
English
Publication Year
2023
Series
De Gruyter Textbook Ser.
Type
Textbook
Number of Pages
148 Pages
Dimensions
Item Length
9.4in
Item Width
6.7in
Item Weight
9.5 Oz
Additional Product Features
Lc Classification Number
Qa377
Grade from
College Freshman
Grade to
College Senior
Copyright Date
2023
Target Audience
College Audience
Topic
Software Development & Engineering / General, Numerical Analysis, Computer Science, General
Dewey Decimal
518.6
Dewey Edition
23
Illustrated
Yes
Genre
Computers, Mathematics
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eBay item number:315168330245
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