A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations

Y Gong, B Ji, H Liao - Applied Numerical Mathematics, 2023 - Elsevier
This paper presents a systematic methodology, called the MBP-preserving iteration
technique, to develop the maximum bound principle (MBP) preserving numerical algorithms …

A remark on the invariant energy quadratization (IEQ) method for preserving the original energy dissipation laws

Z Zhang, Y Gong, J Zhao - arXiv preprint arXiv:2111.12920, 2021 - arxiv.org
In this letter, we revisit the IEQ method and provide a new perspective on its ability to
preserve the original energy dissipation laws. The invariant energy quadratization (IEQ) …

[PDF][PDF] A stable arbitrarily high order time-stepping method for thermal phase change problems

W Wang, C Xu - Commun. Comput. Phys., 2023 - global-sci.com
Thermal phase change problems are widespread in mathematics, nature, and science. They
are particularly useful in simulating the phenomena of melting and solidification in materials …

Numerical Approximations of Diblock Copolymer Model Using a Modified Leapfrog Time-Marching Scheme

L Chen, Y Ma, B Ren, G Zhang - Computation, 2023 - mdpi.com
An efficient modified leapfrog time-marching scheme for the diblock copolymer model is
investigated in this paper. The proposed scheme offers three main advantages. Firstly, it is …