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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Vydáno v:Journal of mathematical sciences (New York, N.Y.) Ročník 254; číslo 5; s. 606 - 624
Hlavní autoři: Zhukov, V. T., Feodoritova, O. B.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.05.2021
Springer
Springer Nature B.V
Témata:
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
ISSN:1072-3374, 1573-8795
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Shrnutí: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.
Bibliografie: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