Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations

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

An explicit-implicit finite element model for the numerical solution of incompressible Navier–Stokes equations on moving grids

(2019) J. Marti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

(2019) Lianlei Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices

(2019) Zhiguo Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Local discontinuous Galerkin methods with implicit-explicit multistep time-marching for solving the nonlinear Cahn-Hilliard equation

(2019) Hui Shi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

(2018) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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 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

Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

(2014) Y. He   IMA JOURNAL OF NUMERICAL ANALYSIS

$$H^2$$ H 2 -Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier–Stokes Equations

(2014) Yinnian He et al.   JOURNAL OF SCIENTIFIC COMPUTING

Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations

(2013) Eskil Hansen et al.   MATHEMATICS OF COMPUTATION

A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier–Stokes equations

(2010) Yinnian He et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

XTOR-2F: A fully implicit Newton–Krylov solver applied to nonlinear 3D extended MHD in tokamaks

(2010) Hinrich Lütjens et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling

(2010) F. X. Giraldo et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection–diffusion equations

(2009) N.C. Nguyen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient semi-implicit immersed boundary method for the Navier–Stokes equations

(2008) Thomas Y. Hou et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

(2008) Yinnian He   MATHEMATICS OF COMPUTATION