Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

DOI10.1007/s10444-020-09789-9zbMath1442.65294arXiv1907.07462OpenAlexW3031773824MaRDI QIDQ2190662

Publication date: 21 June 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07462

zbMATH Keywords

error estimates energy stability phase field crystal scalar auxiliary variable (SAV)Fourier-spectral method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for nonlinear higher-order PDEs (35G25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)

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