DOI10.4208/jcm.1603-m2014-0017zbMath1374.65154OpenAlexW2523228639MaRDI QIDQ5276753
Jiang Yang, Tao Tang
Publication date: 14 July 2017
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/27ee5dceed93301d1cddef7b59118b7eefac58b7
Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations,
Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models,
Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations,
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations,
Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation,
Positivity-preserving and unconditionally energy stable numerical schemes for MEMS model,
Numerical Analysis of Crank-Nicolson Scheme for the Allen-Cahn Equation,
Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme,
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations,
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations,
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows,
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions,
Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations,
A new high-order maximum-principle-preserving explicit Runge-Kutta method for the nonlocal Allen-Cahn equation,
Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation,
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation,
Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation,
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation,
A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion,
Fully discrete error analysis of first‐order low regularity integrators for the Allen‐Cahn equation,
Sharp L2 norm convergence of variable-step BDF2 implicit scheme for the extended Fisher-Kolmogorov equation,
High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation,
A deep learning method for the dynamics of classic and conservative Allen-Cahn equations based on fully-discrete operators,
Low regularity integrators for semilinear parabolic equations with maximum bound principles,
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility,
Multiscale model reduction for the Allen-Cahn problem in perforated domains,
Stability analysis for a maximum principle preserving explicit scheme of the Allen-Cahn equation,
Lack of robustness and accuracy of many numerical schemes for phase-field simulations,
Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes,
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion,
A new linearized maximum principle preserving and energy stability scheme for the space fractional Allen-Cahn equation,
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations,
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,
Maximum principle preserving schemes for binary systems with long-range interactions,
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential,
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation,
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint,
Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential,
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations,
A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation,
Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations,
Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations,
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,
An explicit stable finite difference method for the Allen-Cahn equation,
Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations,
A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations,
Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation,
A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential