On the solution of the Fokker-Planck equation using a high-order reduced basis approximation

DOI10.1016/j.cma.2009.09.028zbMath1231.76197OpenAlexW2063777241MaRDI QIDQ658721

G. M. Leonenko, Timothy N. Phillips

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.09.028

zbMATH Keywords

non-Newtonian fluidsspectral methodsPlanck equationFokkerreduced basis functions

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Statistical mechanics of polymers (82D60) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items (12)

Numerical methods for high-dimensional probability density function equations ⋮ Exact PDF equations and closure approximations for advective-reactive transport ⋮ Solving parametric complex fluids models in rheometric flows ⋮ Galerkin finite element approximation of symmetric space-fractional partial differential equations ⋮ Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators ⋮ High-order approximation of Pearson diffusion processes ⋮ New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs ⋮ Review on the Brownian dynamics simulation of bead-rod-spring models encountered in computational rheology ⋮ From single-scale to two-scales kinetic theory descriptions of rods suspensions ⋮ An overview of the proper generalized decomposition with applications in computational rheology ⋮ Numerical approximation of high-dimensional Fokker-Planck equations with polynomial coefficients ⋮ Transient numerical approximation of hyperbolic diffusions and beyond

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