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 …

In this paper, we solve the coupled Ginzburg-Landau equations by using a linearized
variable-time-step second order backward differentiation formula in time combining with a …

For the two-mode phase field crystal models, the evolutions of the solutions and energy vary
fast at certain time. To resolve varying time scales efficiently and reduce the computational …

In this article, a fast numerical method is developed for solving the FitzHugh-Nagumo (FHN)
model by combining two-grid finite element (TGFE) algorithm in space with a linearized …

We consider a virtual element method in space for the nonlinear Ginzburg–Landau
equation, while a linearized time-variable-step second order backward differentiation …

We generalize the implicit-explicit (IMEX) second-order backward difference (BDF2) scalar
auxiliary variable (SAV) scheme for Navier–Stokes equation with periodic boundary …

An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on generalized SAV
approach for the Cahn–Hilliard equation by combining with Fourier spectral method in …

In this paper, a linearized fully discrete scheme combining the variable-time-step two-step
backward differentiation formula (VSBDF2) in time and the nonconforming finite element …

This paper presents a high-precision numerical method based on spectral deferred
correction (SDC) for solving the time-fractional Allen-Cahn equation. In the temporal …

In this paper, we construct, analyze, and numerically validate a class of H (div)-mixed virtual
element method for the semilinear parabolic problem in mixed form, in which the parabolic …