A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation

DOI10.1137/23m1552164OpenAlexW4391532981MaRDI QIDQ6154962

Xiao Li, ZhongHua Qiao

Publication date: 16 February 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/23m1552164

zbMATH Keywords

second orderenergy stabilityphase field crystal equationconvergence in \(L^\infty\)

Mathematics Subject Classification ID

Crystalline structure (74E15) Stefan problems, phase changes, etc. (80A22) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Crystals in solids (74N05)

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