Geometric investigation of the discrete gradient method for the Webster equation with a weighted inner product

DOI10.14495/JSIAML.7.17OpenAlexW2049196012MaRDI QIDQ3121380

Ai Ishikawa, Takaharu Yaguchi

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.7.17

zbMATH Keywords

Hamiltonian mechanicsdiscrete gradient methodWebster equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Difference and functional equations (39-XX)

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Cites Work

• Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
• Time integration and discrete Hamiltonian systems
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