Maximum bound principle preserving additive partitioned Runge-Kutta schemes for the Allen-Cahn equation

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation
Efficient implementation of essentially nonoscillatory shock-capturing schemes
The scalar auxiliary variable (SAV) approach for gradient flows
Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations
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Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation
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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
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Total-Variation-Diminishing Time Discretizations
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
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Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
Geometric Numerical Integration
Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations