Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications
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DOI: 10.1007/s10915-017-0510-z
Abstract: In this paper we focus on the construction of numerical schemes for nonlinear Fokker–Planck equations that preserve the structural properties, like non negativity of the solution, entropy dissipation and large time behavior. The methods here… read more here.
Keywords: fokker planck; schemes nonlinear; nonlinear fokker; planck equations ... See more keywords
Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schr ¨odinger Equations
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DOI: 10.4208/cicp.2019.js60.05
Abstract: In this paper, we propose a family of time-stepping schemes for approximating general nonlinear Schrodinger equations. The proposed schemes all satisfy both mass conservation and energy conservation. Truncation and dispersion error analyses are provided for… read more here.
Keywords: energy conserved; energy; mass energy; numerical schemes ... See more keywords