Numerical Approximation of the Vlasov-Poisson-Fokker-Planck System in Two Dimensions Export

@article{citeulike:4632816, abstract = {A numerical method is developed for approximating the solution to the Vlasov-Poisson-Fokker-Planck system in two spatial dimensions. The method generalizes the approximation for the system in one dimension given in [S. Wollman, E. Ozizmir, Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in one dimension, J. Comput. Phys. 202 (2005) 602-644]. The numerical procedure is based on a change of variables that puts the convection-diffusion equation into a form so that finite difference methods for parabolic type partial differential equations can be applied. The computational cycle combines a type of deterministic particle method with a periodic interpolation of the solution along particle trajectories onto a fixed grid.computational work is done to demonstrate the accuracy and effectiveness of the approximation method. Parts of the numerical procedure are adapted to run on a parallel computer.}, author = {Wollman, Stephen and Ozizmir, Ercument}, citeulike-article-id = {4632816}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jcp.2009.05.027}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0021999109002605}, day = {22}, doi = {10.1016/j.jcp.2009.05.027}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {2d, algorithm, approximation, equation, focker-planck, poisson, vlasov}, month = {May}, posted-at = {2009-06-10 10:00:19}, priority = {2}, title = {Numerical Approximation of the Vlasov-Poisson-Fokker-Planck System in Two Dimensions}, url = {http://dx.doi.org/10.1016/j.jcp.2009.05.027}, year = {2009} }

TY - JOUR ID - citeulike:4632816 L3 - citeulike-article-id:4632816 N2 - A numerical method is developed for approximating the solution to the Vlasov-Poisson-Fokker-Planck system in two spatial dimensions. The method generalizes the approximation for the system in one dimension given in [S. Wollman, E. Ozizmir, Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in one dimension, J. Comput. Phys. 202 (2005) 602-644]. The numerical procedure is based on a change of variables that puts the convection-diffusion equation into a form so that finite difference methods for parabolic type partial differential equations can be applied. The computational cycle combines a type of deterministic particle method with a periodic interpolation of the solution along particle trajectories onto a fixed grid.computational work is done to demonstrate the accuracy and effectiveness of the approximation method. Parts of the numerical procedure are adapted to run on a parallel computer. JF - Journal of Computational Physics SN - 00219991 TI - Numerical Approximation of the Vlasov-Poisson-Fokker-Planck System in Two Dimensions KW - 2d KW - algorithm KW - approximation KW - equation KW - focker-planck KW - poisson KW - vlasov AU - Wollman, Stephen AU - Ozizmir, Ercument PY - 2009/05/22/ UR - http://dx.doi.org/10.1016/j.jcp.2009.05.027 ER -