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arxiv: 1306.4596 · v1 · pith:VHK7GG5Wnew · submitted 2013-06-19 · 🧮 math.NA

Parallelizing the Kolmogorov-Fokker-Planck Equation

classification 🧮 math.NA
keywords equationalgorithmskolmogorov-fokker-planckboundaryconditionsconvergencedesignexistence
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We design the first parallel scheme based on Schwarz waveform relaxation methods for the Kolmogorov-Fokker-Planck equation. We introduce a new convergence proof for the algorithms. We also provide results about the existence and uniqueness of a solution for this equation with several boundary conditions, in order to prove that our algorithms are well-posed. Numerical tests are also provided.

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