Optimal approximation to a class of nonlinear evolution equations

DOI10.1016/J.AMC.2012.02.043zbMath1245.65110OpenAlexW2022919963MaRDI QIDQ440791

Huanrong Li, Yukun Li

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.043

zbMATH Keywords

error estimatesevolution equationsgeneralized Volterra projectionoptimal approximations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Volterra integral equations (45D05)

Related Items (5)

Convergence analysis and numerical simulation for a hyperbolic system ⋮ A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation ⋮ A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation ⋮ Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow ⋮ A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model

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