The scalar auxiliary variable (SAV) approach [31] and its generalized version GSAV
proposed in [20] are very popular methods to construct efficient and accurate energy stable …

In this paper, we develop a general framework for constructing higher-order, unconditionally
energy-decreasing exponential time differencing Runge-Kutta (ETDRK) methods applicable …

The scalar auxiliary variable (SAV) approach [42] is a very popular and efficient method to
simulate various phase field models. To save the computational cost, a new SAV approach …

A new class of time discretization schemes for the Navier-Stokes equations with non-
periodic boundary conditions is constructed by combining the SAV approach for general …

In this paper, we propose and analyze an efficient implicit–explicit second-order backward
differentiation formulation (BDF2) scheme with variable time steps for gradient flow problems …

When certain polymer amphiphiles and phospholipids are dispersed in a liquid, these
molecules combine to form various closed bilayer structures known as multiple vesicles. The …

We present in this paper a new second-order consistent splitting scheme for the Navier–
Stokes equations with no-slip boundary conditions based on (i) the Taylor expansions at …

Herein, we propose linear, decoupled, and energy dissipation-preserving schemes for the
ternary Cahn–Hilliard (CH) fluid models by using a modified scalar auxiliary variable …

We construct two classes of time discretization schemes for fourth order nonlinear equations
by combining a function transform approach with the scalar auxiliary variable (SAV) …

An efficiently linear time-marching method is proposed for the incompressible fluid flows
coupled Ohta–Kawasaki model of diblock copolymer melt. Although this model satisfies the …