Robust numerical solution of the Fokker-Planck equation for second order dynamical systems under parametric and external white noise excitations

Nonlinear Dynamics and Stochastic Mechanics ◽

10.1090/fic/009/02 ◽

1996 ◽

pp. 23-37 ◽

Author(s):

Lawrence Bergman ◽

Billie Spencer ◽

Steven Wojtkiewicz ◽

Erik Johnson

Keyword(s):

Dynamical Systems ◽

White Noise ◽

Numerical Solution ◽

Planck Equation ◽

Second Order ◽

Fokker Planck Equation ◽

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Robust Numerical Solution of the Transient Fokker-Planck Equation for Nonlinear Dynamical Systems

Nonlinear Stochastic Mechanics ◽

10.1007/978-3-642-84789-9_5 ◽

1992 ◽

pp. 49-60 ◽

Author(s):

L. A. Bergman ◽

B. F. Spencer

Keyword(s):

Dynamical Systems ◽

Numerical Solution ◽

Nonlinear Dynamical Systems ◽

Planck Equation ◽

Nonlinear Dynamical ◽

Fokker Planck Equation ◽

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Numerical Solution of Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems

IUTAM Symposium on Nonlinear Stochastic Dynamics and Control - IUTAM Bookseries ◽

10.1007/978-94-007-0732-0_8 ◽

2011 ◽

pp. 77-86

Author(s):

S. Narayanan ◽

Pankaj Kumar

Keyword(s):

Dynamical Systems ◽

Numerical Solution ◽

Planck Equation ◽

Stochastic Dynamical Systems ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker-Planck Equation by Spectral Collocation and Finite-Element Methods for Stochastic Magnetization Dynamics

IEEE Transactions on Magnetics ◽

10.1109/tmag.2021.3084335 ◽

2021 ◽

pp. 1-1

Author(s):

Valentino Scalera ◽

Patrizio Ansalone ◽

Salvatore Perna ◽

Claudio Serpico ◽

Massimiliano d'Aquino

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Finite Element Methods ◽

Planck Equation ◽

Magnetization Dynamics ◽

Spectral Collocation ◽

Fokker Planck Equation ◽

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Using some results about the Lie evolution of differential operators to obtain the Fokker-Planck equation for non-Hamiltonian dynamical systems of interest

Journal of Mathematical Physics ◽

10.1063/1.5037656 ◽

2018 ◽

Vol 59 (5) ◽

pp. 053303 ◽

Author(s):

Marco Bianucci

Keyword(s):

Dynamical Systems ◽

Differential Operators ◽

Planck Equation ◽

Fokker Planck Equation ◽

Hamiltonian Dynamical Systems ◽

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Numerical solution of the Fokker–Planck equation for fiber suspensions: Application to the Folgar–Tucker–Lipscomb model

Journal of Non-Newtonian Fluid Mechanics ◽

10.1016/j.jnnfm.2008.04.004 ◽

2008 ◽

Vol 155 (1-2) ◽

pp. 20-29 ◽

Author(s):

J. Férec ◽

M. Heniche ◽

M.C. Heuzey ◽

G. Ausias ◽

P.J. Carreau

Keyword(s):

Numerical Solution ◽

Planck Equation ◽

Fiber Suspensions ◽

Fokker Planck Equation ◽

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A Time-Discontinuous Galerkin Approach for the Numerical Solution of the Fokker-Planck Equation

Recent Developments and Innovative Applications in Computational Mechanics ◽

10.1007/978-3-642-17484-1_35 ◽

2011 ◽

pp. 311-319

Author(s):

Udo Nackenhorst ◽

Friederike Loerke

Keyword(s):

Numerical Solution ◽

Discontinuous Galerkin ◽

Planck Equation ◽

Galerkin Approach ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker-Planck Equation for Postharvest Applications

10.13031/2013.14055 ◽

2003 ◽

Author(s):

Nico Scheerlinck ◽

Ann Peirs ◽

Michèle Desmet ◽

Sofie Clauwers ◽

Bart M. Nicolaï

Keyword(s):

Numerical Solution ◽

Planck Equation ◽

Fokker Planck Equation ◽

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Explicit Method for the Numerical Solution of the Fokker-Planck Equation of Filtered Phase Noise

Approximation and Computation - Springer Optimization and Its Applications ◽

10.1007/978-1-4419-6594-3_26 ◽

2010 ◽

pp. 401-407

Author(s):

Dejan Milić

Keyword(s):

Numerical Solution ◽

Phase Noise ◽

Planck Equation ◽

Explicit Method ◽

Fokker Planck Equation ◽

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Dynamical Systems in the Variational Formulation of the FokkerPlanck Equation by the Wasserstein Metric

Applied Mathematics & Optimization ◽

10.1007/s002450010008 ◽

2000 ◽

Vol 42 (2) ◽

pp. 203-227 ◽

Author(s):

T. Mikami

Keyword(s):

Dynamical Systems ◽

Variational Formulation ◽

Planck Equation ◽

Wasserstein Metric ◽

Fokker Planck Equation ◽

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On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems

Nonlinear Dynamics ◽

10.1007/bf00120671 ◽

1993 ◽

Vol 4 (4) ◽

pp. 357-372 ◽

Author(s):

B. F. Spencer ◽

L. A. Bergman

Keyword(s):

Numerical Solution ◽

Stochastic Systems ◽

Planck Equation ◽

Nonlinear Stochastic Systems ◽

Fokker Planck Equation ◽

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