PARALLEL NUMERICAL METHODS FOR THE SOLUTION OF NONLINEAR PARABOLIC SYSTEMS

DOI10.1142/S0218127411029860zbMath1248.65146MaRDI QIDQ3165839

Chrysovalantis A. Sfyrakis

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

error estimatesfinite difference methodsparallel implementationparabolic systemexplicit Euler schemeCrank-Nicolson-ADI methodsimplified phase-field models

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05)

Cites Work

• Thermodynamically-consistent phase-field models for solidification
• Algorithms for phase field computation of the dendritic operating state at large supercoolings
• Convergence of the finite element method applied to an anisotropic phase-field model
• Alternating Direction Methods for Nonlinear Time-Dependent Problems
• Existence of solutions to an anisotropic phase-field model

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