Energy-Preserving Schemes for High-Dimensional Nonlinear KG Equations Energy-preserving schemes High-dimensional nonlinear KG equation

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Xi’an Jiaotong University, School of Mathematics and Statistics

Chapter Chapter 9 in Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 2021, pp 263-297 from Springer

Abstract: Abstract The main theme of this chapter is the analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordon equations. An energy-preserving scheme is presented based on the discrete gradient method and the Duhamel Principle. The local error, global convergence, and nonlinear stability of the scheme are analysed in detail.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0147-7_9

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DOI: 10.1007/978-981-16-0147-7_9

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