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A new high-order maximum-principle-preserving explicit Runge–Kutta method for the nonlocal Allen–Cahn equation 1 Introduction 1 Fully discrete eSSPRK-SV Schemes 3 Quadrature-based finite difference semi-discretization 3 Fully discrete schemes 4 Efficient implementation of the eSSPRK-SV schemes 5 Energy stability and discrete maximum bound principle 6 Error estimates and asymptotic compatibility 8 Error estimates 8 Asymptotic compatibility 10 Numerical experiments 11 Convergence tests of the eSSPRK-SV (s,k) scheme 11 The maximum bound principle and energy stability tests 13 Simulating the NAC equation 15 The performance of ξ 15 Comparison of the shifted energy E and the introduced energy R 16 Conclusions 16 CRediT authorship contribution statement 18 Data availability 18 Acknowledgments 18 References 19

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EN

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nonfiction