Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation

In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy...

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Bibliographic Details
Published in:Acta mathematica scientia Vol. 43; no. 3; pp. 1211 - 1238
Main Authors: Wang, Jialing, Zhou, Zhengting, Wang, Yushun
Format: Journal Article
Language:English
Published: Singapore Springer Nature Singapore 01.05.2023
Springer Nature B.V
School of Mathematics and Statistics,Nanjing University of Information Science & Technology,Nanjing 210044,China%Jiangsu Key Laboratory of NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Edition:English Ed.
Subjects:
Algorithms
Analysis
Boundary conditions
Energy
Experiments
Mathematics
Mathematics and Statistics
Ordinary differential equations
Partial differential equations
Science
Klein-Gordon-Zakharov (KGZ) equation
local preservation law
local energy-preserving algorithms
multi-symplectic algorithms
65M06
65L12
local momentum-preserving algorithms
65M12
Klein-Gordon-Zakharov(KGZ)equation
ISSN:0252-9602, 1572-9087
Online Access:Get full text
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Summary:In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four local energy-preserving algorithms, four local momentum-preserving algorithms; of these, local energy-preserving and momentum-preserving algorithms have not been studied before. The local structure-preserving algorithms mentioned above are more widely used than the global structure-preserving algorithms, since local preservation algorithms can be preserved in any time and space domains, which overcomes the defect that global preservation algorithms are limited to boundary conditions. In particular, under appropriate boundary conditions, local preservation laws are global preservation laws. Numerical experiments conducted can support the theoretical analysis well.
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ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-023-0313-2