On numerical methods for Hamiltonian PDEs and a collocation method for the Vlasov-Maxwell equations

DOI10.1006/jcph.1996.0238zbMath0862.65049OpenAlexW2095364733MaRDI QIDQ2564465

James Paul Holloway

Publication date: 23 February 1997

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.0238

zbMATH Keywords

conservation lawscollocation methodsmethod of linesHamiltonian partial differential equationsVlasov-Maxwell equationsweighted residual methodsLegendre-Gauss-Lobatto collocationquadratic Casimirs

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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