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- W4386572082 abstract "In this work, based on the quadrature-based finite difference space discretization method for nonlocal diffusion operator, we construct a class of unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta (pIFRK) schemes for solving the nonlocal Allen-Cahn (NAC) equation with high accuracy, up to fourth-order in time. We establish a rigorous error analysis and asymptotic compatibility analysis of pIFRK schemes. Numerical experiments demonstrate the accuracy and structure-preserving property of the proposed schemes, verify their asymptotic compatibility, and investigate the discontinuity of the NAC equation under certain conditions." @default.
- W4386572082 created "2023-09-10" @default.
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- W4386572082 date "2023-12-01" @default.
- W4386572082 modified "2023-09-26" @default.
- W4386572082 title "High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for nonlocal Allen-Cahn equation" @default.
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- W4386572082 doi "https://doi.org/10.1016/j.apnum.2023.08.010" @default.
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