Multisymplectic Preissman scheme for the time-domain Maxwell’s equations

DOI10.1063/1.3087421zbMath1202.78031OpenAlexW2020221849WikidataQ57653396 ScholiaQ57653396MaRDI QIDQ3650482

Jiaxiang Cai, ZhongHua Qiao, Yu Shun Wang

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3087421

zbMATH Keywords

Maxwell equationstime-domain analysisnumerical analysis

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)

Related Items (5)

GPU-accelerated preconditioned GMRES method for two-dimensional Maxwell's equations ⋮ Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs ⋮ A multisymplectic explicit scheme for the modified regularized long-wave equation ⋮ Multisymplectic schemes for strongly coupled Schrödinger system ⋮ Numerical analysis of a multi-symplectic scheme for the time-domain Maxwell's equations

Cites Work

• The Hamiltonian structure of the Maxwell-Vlasov equations
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Multisymplectic geometry, local conservation laws and a multisymplectic integrator for the Zakharov-Kuznetsov equation
• Backward error analysis for multi-symplectic integration methods
• Multisymplectic box schemes and the Korteweg-de Vries equation.
• Numerical implementation of the multisymplectic Preissman scheme and its equivalent schemes.
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
• Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation
• Numerical methods for Hamiltonian PDEs
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Global existence in critical spaces for flows of compressible viscous and heat-conductive gases

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