Numerical analysis of a multi-symplectic scheme for the time-domain Maxwell's equations

DOI10.1063/1.3664338zbMath1273.78006OpenAlexW2032501393MaRDI QIDQ2853575

Wenjun Cai, Juan Jiang, Yu Shun Wang

Publication date: 16 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3664338

zbMATH Keywords

dispersion relationtwo-dimensional Maxwell's equations

Mathematics Subject Classification ID

Related Items (2)

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Cites Work

• Symplectic and multisymplectic numerical methods for Maxwell's equations
• Splitting multisymplectic integrators for Maxwell's equations
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Multisymplectic box schemes and the Korteweg-de Vries equation.
• New schemes for the nonlinear Schrödinger equation
• Energy-conserved splitting FDTD methods for Maxwell's equations
• Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
• New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell’s equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Multisymplectic Preissman scheme for the time-domain Maxwell’s equations
• Multisymplectic Geometry and Multisymplectic Scheme for the Nonlinear Klein Gordon Equation
• Numerical methods for Hamiltonian PDEs
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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