Space-time spectrally accurate HBVMs for Hamiltonian PDEs

Brugnano, L. ; Iavernaro, F. ; Montijano, J.I. (Universidad de Zaragoza) ; Rández, L. (Universidad de Zaragoza)

Resumen: Recently, Hamiltonian Boundary Value Methods (HBVMs), have been used for effectively solving multi-frequency, highly-oscillatory and/or stiffly-oscillatory problems. We here report a few examples showing that, when numerically solving Hamiltonian PDEs, such methods, if coupled with a spectrally accurate space semi-discretization, are able to provide a spectrally accurate solution in time, as well.

Idioma: Inglés

DOI: 10.1063/1.5114129

Año: 2019

Publicado en: AIP Conference Proceedings 2116 (2019), 140002 [17 pp]
ISSN: 0094-243X

Factor impacto SCIMAGO: 0.19 - Physics and Astronomy (miscellaneous)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)