Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

(2021) Dianming Hou et al.   NUMERICAL ALGORITHMS

Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations

(2021) Xavier Antoine et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A revisit of the energy quadratization method with a relaxation technique

(2021) Jia Zhao   APPLIED MATHEMATICS LETTERS

Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

(2020) Yuezheng Gong et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On a SAV-MAC Scheme for the Cahn-Hilliard-Navier-Stokes Phase Field Model and its Error Analysis for the Corresponding Cahn-Hilliard-Stokes Case

(2020) Xiaoli Li et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Energy stability and convergence of SAV block-centered finite difference method for gradient flows

(2019) Xiaoli Li et al.   MATHEMATICS OF COMPUTATION

Numerical Approximation of a Phase-Field Surfactant Model with Fluid Flow

(2019) Guangpu Zhu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Energy-stable Runge–Kutta schemes for gradient flow models using the energy quadratization approach

(2019) Yuezheng Gong et al.   APPLIED MATHEMATICS LETTERS

A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach

(2019) Zhonghua Qiao sci   Communications in Computational Physics

A variant of scalar auxiliary variable approaches for gradient flows

(2019) Dianming Hou et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Regularized linear schemes for the molecular beam epitaxy model with slope selection

(2018) Lizhen Chen et al.   APPLIED NUMERICAL MATHEMATICS

Linear, second order and unconditionally energy stable schemes for the viscous Cahn–Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

(2018) Xiaofeng Yang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

(2017) Lili Ju et al.   MATHEMATICS OF COMPUTATION

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

(2016) Jia Zhao et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models

(2016) Xiaoqiang Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

(2013) A. Baskaran et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On linear schemes for a Cahn–Hilliard diffuse interface model

(2012) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Unconditionally stable schemes for equations of thin film epitaxy

(2010) Steven Wise et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Finite element approximation of nematic liquid crystal flows using a saddle-point structure

(2010) Santiago Badia et al.   JOURNAL OF COMPUTATIONAL PHYSICS