DOI10.1137/100812781zbMath1234.35274OpenAlexW2037963783WikidataQ57653389 ScholiaQ57653389MaRDI QIDQ3103520
Tao Tang, ZhongHua Qiao, Zheng-Ru Zhang
Publication date: 7 December 2011
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1b0f96106daab95bd60c192ea4c56d1b6738d1ee
Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint ⋮
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮
Computing interface with quasiperiodicity ⋮
New epitaxial thin‐film models and numerical approximation ⋮
Structure-preserving and efficient numerical methods for ion transport ⋮
Arbitrarily high-order linear energy stable schemes for gradient flow models ⋮
A large time-stepping mixed finite method of the modified Cahn-Hilliard equation ⋮
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection ⋮
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations ⋮
Transition pathways in Cylinder-Gyroid interface ⋮
Stabilized semi-implicit numerical schemes for the Cahn-Hilliard-like equation with variable interfacial parameter ⋮
Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-extended-Darcy model ⋮
The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model ⋮
Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach ⋮
Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation ⋮
Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations ⋮
Decoupled energy stable schemes for phase-field vesicle membrane model ⋮
Fast and stable explicit operator splitting methods for phase-field models ⋮
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains ⋮
Energy stable and large time-stepping methods for the Cahn–Hilliard equation ⋮
Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection ⋮
Numerical solutions to singular reaction-diffusion equation over elliptical domains ⋮
An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation ⋮
Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model ⋮
A provably efficient monotonic-decreasing algorithm for shape optimization in Stokes flows by phase-field approaches ⋮
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation ⋮
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model ⋮
An energy-stable finite-difference scheme for the binary fluid-surfactant system ⋮
Sharp error estimate of an implicit BDF2 scheme with variable time steps for the phase field crystal model ⋮
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations ⋮
An adaptive time-stepping algorithm for the Allen-Cahn equation ⋮
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation ⋮
Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations ⋮
A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation ⋮
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows ⋮
Error estimate of exponential time differencing Runge-Kutta scheme for the epitaxial growth model without slope selection ⋮
Energy landscape analysis for two-phase multi-component NVT flash systems by using ETD type high-index saddle dynamics ⋮
Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation ⋮
Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model ⋮
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations ⋮
A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State ⋮
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation ⋮
Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection ⋮
An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model ⋮
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint ⋮
An Adaptive Time Stepping Method for Transient Dynamic Response Analysis ⋮
A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection ⋮
An adaptive time-stepping strategy for solving the phase field crystal model ⋮
A variant of scalar auxiliary variable approaches for gradient flows ⋮
Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model ⋮
An adaptive time stepping method with efficient error control for second-order evolution problems ⋮
Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach ⋮
Energy-production-rate preserving numerical approximations to network generating partial differential equations ⋮
Unnamed Item ⋮
Numerical solution of two-dimensional sine-Gordon and MBE models using Fourier spectral and high order explicit time stepping methods ⋮
An energy preserving finite difference scheme for the Poisson-Nernst-Planck system ⋮
Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces ⋮
A revisit of the energy quadratization method with a relaxation technique ⋮
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection ⋮
Energy SSP-IMEX Runge-Kutta methods for the Cahn-Hilliard equation ⋮
A three-time-level a posteriori error estimator for GS4-2 framework: adaptive time stepping for second-order transient systems ⋮
On a Large Time-Stepping Method for the Swift-Hohenberg Equation ⋮
Regularized linear schemes for the molecular beam epitaxy model with slope selection ⋮
Energy-stable predictor-corrector schemes for the Cahn-Hilliard equation ⋮
Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation ⋮
A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations ⋮
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations ⋮
Second order linear thermodynamically consistent approximations to nonlocal phase field porous media models ⋮
A geometric diffuse-interface method for droplet spreading ⋮
A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection ⋮
A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio ⋮
Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup> ⋮
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation ⋮
Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes ⋮
Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films ⋮
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model ⋮
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations ⋮
Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach ⋮
Highly accurate, linear, and unconditionally energy stable large time-stepping schemes for the functionalized Cahn-Hilliard gradient flow equation ⋮
Adaptive time-stepping algorithms for molecular beam epitaxy: based on energy or roughness ⋮
A second order energy stable linear scheme for a thin film model without slope selection ⋮
Thermodynamically consistent algorithms for models of incompressible multiphase polymer solutions with a variable mobility ⋮
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations ⋮
A Fourier spectral method for fractional-in-space Cahn-Hilliard equation ⋮
Local structure-preserving algorithms for the molecular beam epitaxy model with slope selection ⋮
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models ⋮
Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system ⋮
Adaptive moving grid methods for two-phase flow in porous media ⋮
Gradient bounds for a thin film epitaxy equation ⋮
Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations ⋮
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model ⋮
A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach ⋮
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model ⋮
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy ⋮
Optimal convergence analysis of a second order scheme for a thin film model without slope selection ⋮
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability ⋮
Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations ⋮
WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME ⋮
A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations ⋮
Error estimates of fully discrete finite element solutions for the 2D Cahn–Hilliard equation with infinite time horizon
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