A high-order and energy stable scheme is developed to simulate phase-field models by
combining the semi-implicit spectral deferred correction (SDC) method and the energy …

In this paper, we propose a linear, unconditionally energy stable and second-order (in time)
numerical scheme based on a convex splitting scheme and the semi-implicit spectral …

In this paper, we consider an exponential scalar auxiliary variable (E-SAV) approach to
obtain energy stable schemes for a class of phase field models. This novel auxiliary variable …

Recent results in the literature provide computational evidence that the stabilized semi-
implicit time-stepping method can efficiently simulate phase field problems involving fourth …

In the recent paper by Dutt, Greengard and Rokhlin, a variant of deferred or defect correction
methods is presented which couples Gaussian quadrature with the Picard integral equation …

We study in this paper the accuracy and stability of partially and fully implicit schemes for
phase field modeling. Through theoretical and numerical analysis of Allen–Cahn and Cahn …

A fully implicit two-step backward differentiation formula (BDF2) scheme with variable time
steps is considered for solving the phase field crystal (PFC) model by combining with …

We introduce provably unconditionally stable mixed variational methods for phase-field
models. Our formulation is based on a mixed finite element method for space discretization …

In this paper, we develop a series of linear, unconditionally energy stable numerical
schemes for solving the classical phase field crystal model. The temporal discretizations are …

In this work, we will propose an adaptive time step method for simulating the dynamics of the
phase field crystal (PFC) model. The numerical simulation of the PFC model needs long time …