On Development of Parallel Algorithms for Solving Parabolic and Elliptic Equations

In this paper, we present results of the development of certain parallel numerical methods for solving three-dimensional evolutionary and stationary problems of diffusion and heat transfer. We present a detailed description of a special, explicit iteration scheme for parabolic equations and discuss...

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 254; no. 5; pp. 606 - 624
Main Authors Zhukov, V. T., Feodoritova, O. B.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2021
Springer
Springer Nature B.V
Subjects
Algorithms
Differential equations
Elliptic functions
Iterative methods
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical methods
elliptic equations
65M06
adaptation
Chebyshev parameters
65M22
65M55
multigrid method
parabolic equations
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Summary:In this paper, we present results of the development of certain parallel numerical methods for solving three-dimensional evolutionary and stationary problems of diffusion and heat transfer. We present a detailed description of a special, explicit iteration scheme for parabolic equations and discuss a multigrid technology used for solving elliptic equations and implicit schemes for parabolic equations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05329-y