A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media
DOI10.1016/j.jcp.2009.01.019zbMath1162.78306OpenAlexW2080697623MaRDI QIDQ1017604
Stephen K. Gray, Jeffrey M. McMahon, George C. Schatz
Publication date: 12 May 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.019
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
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Cites Work
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- A symplectic integration algorithm for separable Hamiltonian functions
- Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation
- A perfectly matched layer for the absorption of electromagnetic waves
- Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation
- Fourier analysis of numerical algorithms for the Maxwell equations
- Lanczos pseudospectral method for initial-value problems in electrodynamics and its applications to ionic crystal gratings
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
- Discrete mechanics and variational integrators
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- The accuracy of symplectic integrators
- Explicit Canonical Methods for Hamiltonian Systems