An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

DOI10.4208/cicp.2019.js60.10OpenAlexW2954429508MaRDI QIDQ5161701

Kelong Cheng, Cheng Wang, Steven M. Wise

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12255

zbMATH Keywords

energy stabilityFourier pseudo-spectral approximationoptimal rate convergence analysissecond order BDF stencilsquare phase field crystal equationpreconditioned steepest descent iteration

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for higher-order parabolic equations (35K30) Numerical analysis (65-XX)

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