Energy preserving integration of bi-Hamiltonian partial differential equations-Reference-Cited by-同舟云学术

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Energy preserving integration of bi-Hamiltonian partial differential equations

Published:2013-12 Issue:12 Volume:26 Page:1125-1133
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Karasözen Bülent,Şimşek Görkem

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference16 articles.

1. Applications of Lie Groups to Differential Equations;Olver,1995

2. A short introduction to Hamiltonian PDEs;Magri;Mat. Contemp.,1998

3. Tri-Hamiltonian duality between solitons and solutions having compact support;Olver;Phys. Rev. E,1996

4. Poisson integrators;Karasözen;Math. Comput. Modelling,2004

5. Poisson integrators for Volterra lattice equations;Ergenç;Appl. Numer. Math.,2006

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1. Linearly-fitted energy-mass-preserving schemes for Korteweg–de Vries equations;Journal of Computational and Applied Mathematics;2024-10

2. A new type of energy-preserving integrators for quasi-bi-Hamiltonian systems;Journal of Mathematical Chemistry;2024-05-15

3. Fourth-order energy-preserving time integrator for solving the sine-Gordon equation;Journal of Mathematical Chemistry;2024-03-14

4. Canonical and noncanonical Hamiltonian operator inference;Computer Methods in Applied Mechanics and Engineering;2023-11

5. A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation;Numerical Mathematics: Theory, Methods and Applications;2022-06

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