Feb 5, 2024 · In this paper, we present a second-order accurate and linear numerical scheme for the phase field crystal equation and prove its convergence ...

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 ...

Apr 1, 2024 · In this paper, we propose a linear, unconditionally energy stable and second-order (in time) numerical scheme based on a convex splitting ...

We present an unconditionally energy stable finite-difference scheme for the phase field crystal equation. The method is based on a convex splitting of a ...

Here we propose a new numerical algorithm for the phase field crystal equation that is second-order time-accurate and unconditionally stable with respect to the ...

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 ...

A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation · Mathematics, Physics. SIAM Journal ...

Xiao Li, Zhonghua Qiao. A Second-Order, Linear, \(\boldsymbol{L^\infty}\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation. SIAM J.

Nov 24, 2015 · We propose a space semi-discrete and a fully discrete finite element scheme for the modified phase field crystal equation (MPFC).

Phase-field modeling and linearly energy-stable Runge–Kutta algorithm of colloidal crystals on curved surfaces;Journal of Computational and Applied ...