Geodesic
Example of automatic code generation of numerical modeling application for solution of the Fokker--Planck equation
Matematičeskoe modelirovanie, Tome 27 (2015) no. 9, pp. 49-64

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This paper focuses on accelerating the application development cycle of numerical simulation using automatic code generation system — Symbalg, based on the concept of skeletons for different classes of problems. As an example, the system is used for the solution of the Fokker–Planck equation using the method of stochastic analog. The paper presents the simulation results for nonlinear Brownian motion and uniaxial ion ferroelectric. Also the paper presents the examples of calculations to study stochastic resonance.
Mots-clés : Fokker–Planck equation, uniaxial ion ferroelectric, Symbalg
Keywords: stochastic resonance, code generation. 
@article{MM_2015_27_9_a3,
     author = {S. A. Zhdanov and A. V. Ivanov},
     title = {Example of automatic code generation of numerical modeling application for solution of the {Fokker--Planck} equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {49--64},
     publisher = {mathdoc},
     volume = {27},
     number = {9},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_9_a3/}
}
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S. A. Zhdanov; A. V. Ivanov. Example of automatic code generation of numerical modeling application for solution of the Fokker--Planck equation. Matematičeskoe modelirovanie, Tome 27 (2015) no. 9, pp. 49-64. http://geodesic.mathdoc.fr/item/MM_2015_27_9_a3/