Stability and error estimate of the operator splitting method for the phase field crystal equation

DOI10.1007/s10915-020-01386-8zbMath1456.65136OpenAlexW3119765771MaRDI QIDQ2221144

Xinlong Feng, Zhifeng Weng, Shuying Zhai, Yin-Nian He

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1007/s10915-020-01386-8

zbMATH Keywords

stability and convergenceoperator splitting methodFourier spectral methodphase field crystal equationSSP-RK method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Statistical mechanics of nanostructures and nanoparticles (82D80)

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