Publications

On the conjecture of stability preservation in arbitrary-order Adams-Bashforth-type integrators

Daopeng Yin, Liquan Mei

BIT Numerical Mathematics 2026

From the perspective of harmonic analysis, this paper disproves the conjecture on the uniform stability of Adams--Bashforth-type integrators and establishes a quantitative relationship between the parabolic stability radius and the approximation order.

DOI Code

The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation

Daopeng Yin, Yingying Xie, Liquan Mei

Advances in Computational Mathematics 2023

DOI