Remarks on energy methods for structure-preserving finite difference schemes -- small data global existence and unconditional error estimate

DOI10.1016/j.amc.2018.08.030zbMath1428.74223OpenAlexW2891262727WikidataQ129207075 ScholiaQ129207075MaRDI QIDQ2007784

Shuji Yoshikawa

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.08.030

zbMATH Keywords

finite difference methodexistence of solutionsemilinear evolution equationsmall data global existencestructure-preserving numerical schemesunconditional error estimate

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

A structure-preserving scheme for the Allen-Cahn equation with a dynamic boundary condition ⋮ Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature ⋮ Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions ⋮ Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws ⋮ A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition ⋮ A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity

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