Add to ORKGMulti-step high-order finite difference schemes for infinite dimensional Hamiltonian systems with split operators are proposed to solve time domain Maxwell's equations. Maxwell's equations are discretized in time direction and in spatial direction with different order of symplectic schemes and fourth-order finite difference approximations, respectively. Stability analysis and numerical results are presented. A five-stage fourth-order multi-step high-order finite difference scheme proves accurate and efficient, and applicable to long time simulations.link_to_subscribed_fulltex
We present a one-step algorithm to solve the time-dependent Maxwell equations for systems with spati...
We study the stability properties of, and the phase error present in, several higher order (in space...
Abstract — A long-stencil fourth order finite difference method over a Yee-grid is developed to sol...
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain ...
The book chapter will aim at introducing the background knowledge, basic theories, supporting techni...
Abstract—To discretize Maxwell’s equations, a variety of high-order symplectic finite-difference tim...
Euler-Hamilton equations are provided using Hamiltonian function of Maxwell's equations. High order ...
Decomposition methods based on split operators are proposed for numerical integration of the time-do...
Decomposition methods based on split operators are proposed for numerical integration of the time-do...
A novel high-order time-domain scheme with a four-stage optimized symplectic integrator propagator i...
International audienceThis paper presents a finite element method with high spatial order for solvin...
We construct a set of reliable finite difference methods for approximating the solution to Maxwell&...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
The Maxwell's equations are written as normal Hamilton equations using functional variation method. ...
We present a one-step algorithm to solve the time-dependent Maxwell equations for systems with spati...
We study the stability properties of, and the phase error present in, several higher order (in space...
Abstract — A long-stencil fourth order finite difference method over a Yee-grid is developed to sol...
To discretize Maxwell's equations, a variety of high-order symplectic finite-difference time-domain ...
The book chapter will aim at introducing the background knowledge, basic theories, supporting techni...
Abstract—To discretize Maxwell’s equations, a variety of high-order symplectic finite-difference tim...
Euler-Hamilton equations are provided using Hamiltonian function of Maxwell's equations. High order ...
Decomposition methods based on split operators are proposed for numerical integration of the time-do...
Decomposition methods based on split operators are proposed for numerical integration of the time-do...
A novel high-order time-domain scheme with a four-stage optimized symplectic integrator propagator i...
International audienceThis paper presents a finite element method with high spatial order for solvin...
We construct a set of reliable finite difference methods for approximating the solution to Maxwell&...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference sche...
The Maxwell's equations are written as normal Hamilton equations using functional variation method. ...
We present a one-step algorithm to solve the time-dependent Maxwell equations for systems with spati...
We study the stability properties of, and the phase error present in, several higher order (in space...
Abstract — A long-stencil fourth order finite difference method over a Yee-grid is developed to sol...