Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs-Reference-Cited by-同舟云学术

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Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs

Published:2017-06-11 Issue:1 Volume:95 Page:114-143
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Cai Wenjun¹^ORCID,Sun Yajuan²,Wang Yushun¹,Zhang Huai³

Affiliation:

1. Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China

2. LSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

3. Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences, Beijing, China

Funder

National Basic Research Program of China

ITER-China Program

National Natural Science Foundation of China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2017.1335866

Reference39 articles.

1. On Symplectic and Multisymplectic Schemes for the KdV Equation

2. Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

3. Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

4. Multi-symplectic spectral discretizations for the Zakharov–Kuznetsov and shallow water equations

5. Numerical methods for Hamiltonian PDEs

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1. The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs;Journal of Computational and Applied Mathematics;2022-05

2. A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation;Numerical Methods for Partial Differential Equations;2020-11-23

3. On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity;Journal of Computational Physics;2020-10

4. Multisymplectic structure-preserving scheme for the coupled Gross–Pitaevskii equations;International Journal of Computer Mathematics;2020-06-25

5. Structure-preserving modeling of teleseismic wavefield using symplectic SEM-FK hybrid method;CHINESE J GEOPHYS-CH;2019

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