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On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation

Hong Zhang, Jingye Yan, Qian Xu, Xian‐Ming Gu, Songhe Song

2021Numerical Algorithms46 citationsDOI

Topics & Concepts

MathematicsMaximum principleRunge–Kutta methodsDiscretizationDirichlet boundary conditionMathematical analysisStability (learning theory)Convergence (economics)Applied mathematicsSpace (punctuation)Norm (philosophy)Theory of computationBoundary value problemNumerical analysisMathematical optimizationOptimal controlLawPhilosophyEconomicsEconomic growthComputer scienceLinguisticsMachine learningPolitical scienceAlgorithmDifferential Equations and Numerical MethodsSolidification and crystal growth phenomenaAdvanced Mathematical Modeling in Engineering
On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation | Litcius