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...

Full description

Saved in:
Bibliographic Details
Published in:Journal 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
Language:English
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
ISSN:1072-3374, 1573-8795
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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