Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint
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Publication:822188
DOI10.1016/j.apnum.2021.08.002zbMath1501.65080OpenAlexW3194523916MaRDI QIDQ822188
Qi Wang, Qi Hong, Yuezheng Gong, Jia Zhao
Publication date: 21 September 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.08.002
energy stable schemessymplectic Runge-Kutta methodcosine pseudo-spectral methodlinear high-order schemesnonlocal Allen-Cahn model
Reaction-diffusion equations (35K57) Thermodynamics in solid mechanics (74A15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) PDEs in connection with mechanics of deformable solids (35Q74)
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