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The L<sup>1</sup>-Error Estimates for a Hamiltonian-preserving Scheme for the Liouville Equation with Piecewise Constant Potentials and Perturbed Initial Data

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Publication:2885713
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DOI10.4208/jcm.1006-m3057zbMath1249.65191OpenAlexW2095684131MaRDI QIDQ2885713

Xin Wen

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.4208/jcm.1006-m3057


zbMATH Keywords

stabilityconvergenceerror estimateLiouville equationsHamiltonian preserving schemes


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)


Related Items (1)

A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials






This page was built for publication: The L<sup>1</sup>-Error Estimates for a Hamiltonian-preserving Scheme for the Liouville Equation with Piecewise Constant Potentials and Perturbed Initial Data

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