On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions

On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions

We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems. The formulation of these properties via symplectic forms gives rise to multisymplectic variational schemes. By using analogy wit...

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Bibliographic Details
Main Authors: Odysseas Kosmas, Pieter Boom, Andrey P. Jivkov
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Applied Sciences
Subjects:
multisymplectic numerical schemes
Hamiltonian systems
symplectic forms
conservation laws
seismic wave equation
Online Access:https://www.mdpi.com/2076-3417/11/17/7837

Internet

https://www.mdpi.com/2076-3417/11/17/7837

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