arXiv Open Access 2022

The Hermite-Taylor Correction Function Method for Maxwell's Equations

Yann-Meing Law Daniel Appelö

Lihat Sumber

Abstrak

The Hermite-Taylor method, introduced in 2005 by Goodrich, Hagstrom and Lorenz, 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, which provides exactly such a systematic approach for handing boundary conditions. Here we focus on Maxwell's equations but note that the method is easily extended to other hyperbolic problems.

Topik & Kata Kunci

math.NA

Penulis (2)

Yann-Meing Law

Daniel Appelö

Format Sitasi

APA MLA BibTeX

Law, Y., Appelö, D. (2022). The Hermite-Taylor Correction Function Method for Maxwell's Equations. https://arxiv.org/abs/2210.07134

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓