High order finite difference schemes with application to wave propagation problems
Maria Antonietta Pirozzi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Maria Antonietta Pirozzi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Liu, Don, Kuang, Weijia, Tangborn, Andrew (2009)
Advances in Mathematical Physics
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István Faragó, Ágnes Havasi, Robert Horváth (2012)
Open Mathematics
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For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.
Sari, Murat (2009)
Mathematical Problems in Engineering
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János Karátson, Sergey Korotov, Svetozar Margenov (2013)
Open Mathematics
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Raimund Bürger, Ricardo Ruiz, Kai Schneider, Mauricio Sepúlveda (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization using the Engquist-Osher numerical flux and explicit time stepping. An adaptive multiresolution scheme based on cell averages is then used to speed up the CPU time and the memory requirements of the underlying finite volume scheme, whose...
Villanueva, Rafael J., Arenas, Abraham J., González-Parra, Gilberto (2008)
Journal of Applied Mathematics
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P. Chartier, L. Petzold (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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Serfaty de Markus, Alicia (2001)
Discrete Dynamics in Nature and Society
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