<em>l</em>¹-Error Estimates on the Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials: A Simple Proof

DOI10.4208/JCM.1701-M2016-0717zbMath1413.65327OpenAlexW3140310139MaRDI QIDQ4688160

Xinchun Li

Publication date: 22 October 2018

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1701-m2016-0717

zbMATH Keywords

Liouville equationssemiclassical limitHamiltonian-preserving schemespiecewise constant potentials\({\ell ^1}\)-error estimatehalf-order error bound

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with statistical mechanics (35Q82)

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Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential

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