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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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JCIT
2008
99views more  JCIT 2008»
13 years 5 months ago
Iterative Operator-Splitting Methods for Stiff Problems in Complex Applications
In this paper we deal with the Landau-LifshitzGilbert equation which describes dynamics of ferromagnetism. Based on the strong nonlinearities a stabilised discretisation method is...
Jürgen Geiser
MOC
2002
73views more  MOC 2002»
13 years 5 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
MOC
2000
86views more  MOC 2000»
13 years 5 months ago
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabi...
G. N. Milstein, M. V. Tretyakov
MOC
1998
90views more  MOC 1998»
13 years 5 months ago
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...
Stig Larsson, Vidar Thomée, Lars B. Wahlbin