The Hermite-Taylor method,introduced in 2005 by Goodrich et al.is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains.Unfortunately,its widespread use has been prevented by the ...The Hermite-Taylor method,introduced in 2005 by Goodrich et al.is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains.Unfortunately,its widespread use has been prevented by the lack of a systematic approach to implementing boundary conditions.In this paper we present the Hermite-Taylor correction function method(CFM),which provides exactly such a systematic approach for handling boundary conditions.Here we focus on Maxwell’s equations but note that the method is easily extended to other hyperbolic problems.展开更多
基金supported in part by the Grant NSF-2208164 and 2210286.
文摘The Hermite-Taylor method,introduced in 2005 by Goodrich et al.is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains.Unfortunately,its widespread use has been prevented by the lack of a systematic approach to implementing boundary conditions.In this paper we present the Hermite-Taylor correction function method(CFM),which provides exactly such a systematic approach for handling boundary conditions.Here we focus on Maxwell’s equations but note that the method is easily extended to other hyperbolic problems.
