Unconditionally stable methods for gradient flow using Convex Splitting Runge

Unconditionally stable methods for gradient flow using Convex Splitting Runge–Kutta scheme

Published:2017-10 Issue: Volume:347 Page:367-381
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Shin Jaemin,Lee Hyun Geun,Lee June-Yub^ORCID

Funder

MOE

MSIP

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference31 articles.

1. Asymptotic Behavior of Dissipative Systems;Hale,1988

2. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metall.,1979

3. Free energy of a nonuniform system. I. Interfacial free energy;Cahn;J. Chem. Phys.,1958

4. Model problems in numerical stability theory for initial value problems;Stuart;SIAM Rev.,1994

5. The global dynamics of discrete semilinear parabolic equations;Elliott;SIAM J. Numer. Anal.,1993

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