Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems

DOI10.1007/s10915-018-0815-6zbMath1419.65058OpenAlexW2891458700WikidataQ129265627 ScholiaQ129265627MaRDI QIDQ1999870

Qiang Du, Jianfang Lu, Lili Ju

Publication date: 27 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0815-6

zbMATH Keywords

strong stabilitynonlocal diffusionfully discreteimplicit Runge-Kuttaasymptotic compatibility

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Linear integral equations (45A05)

Related Items (12)

Numerical methods for nonlocal and fractional models ⋮ A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems ⋮ Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations ⋮ Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation ⋮ On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation ⋮ A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems ⋮ Error estimates of local discontinuous Galerkin method with implicit-explicit Runge Kutta for two-phase miscible flow in porous media ⋮ Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

Uses Software

• RODAS

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