A new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions
Tianliang Hou, Defeng Xiu, Wenzhu Jiang
Topics & Concepts
MathematicsMaximum principleNorm (philosophy)Finite difference schemeScheme (mathematics)Boundary value problemMathematical analysisAllen–Cahn equationPeriodic boundary conditionsEnergy (signal processing)Applied mathematicsBoundary (topology)Stability (learning theory)Finite difference methodMathematical optimizationOptimal controlLawComputer scienceStatisticsPolitical scienceMachine learningSolidification and crystal growth phenomenaDifferential Equations and Numerical MethodsAdvanced Numerical Methods in Computational Mathematics