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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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AMC
2008
92views more  AMC 2008»
15 years 19 days ago
Explicit multi-step peer methods for special second-order differential equations
The construction of s-stage explicit two- and three-step peer methods of order p = 2s and p = 3s is considered for the solution of non-stiff second order initial value problems wh...
Stefan Jebens, Rüdiger Weiner, Helmut Podhais...

Publication
216views
13 years 10 months ago
The Geometry of Time-Stepping
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Claudio Mattiussi
132
Voted
JSCIC
2010
178views more  JSCIC 2010»
14 years 7 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
133
Voted
MMAS
2011
Springer
14 years 3 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
97
Voted
CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 14 days ago
Solution of moving-boundary problems by the spectral element method
This paper describes a novel numerical model aiming at solving moving-boundary problems such as free-surface flows or fluid– structure interaction. This model uses a moving-gr...
Nicolas Bodard, Roland Bouffanais, Michel O. Devil...