A General Implicit Splitting for Stabilizing Numerical Simulations of Langevin Equations

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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19 pages, 2 Figures, uuencoded, compressed, postscript, 218.5 KB (output name Itostab.ps)

Scientific paper

In this paper is described a general 2-nd order accurate (weak sense)
procedure for stablizing Monte-Carlo simulations of Ito stochastic differential
equations. The splitting procedure includes explicit Runge-Kutta methods,
semi-implicit methods, and trapezoidal Rule. We prove the semi-implicit method
of Oettinger and note that it may be generalized for arbitrary splittings.

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