In this paper, we propose and analyze a positivity-preserving, energy stable numerical
scheme for a certain type of reaction-diffusion systems involving the Law of Mass Action with …

We present a detailed convergence analysis for an operator splitting scheme proposed in
[C. Liu, C. Wang, and Y. Wang, J. Comput. Phys., 436 (2021), 110253] for a reaction …

A two-dimensional numerical simulation of detonation in a reactive dispersed liquid droplet
cloud is performed with an Eulerian-Eulerian method. This study aims to investigate the …

Nowadays mathematical models and numerical simulations are widely used in the field of
hemodynamics, representing a valuable resource to better understand physiological and …

Our understanding of magnetic reconnection (MR) under chromospheric conditions remains
limited. Recent observations have demonstrated the important role of ion–neutral …

This paper is devoted to the asymptotic analysis of a coupled model arising in radiative
transfer. The model consists of a kinetic equation satisfied by the specific intensity of …

A family of local spectral evolution kernels (LSEKs) are derived for analytically integrating a
class of partial differential equations (PDEs) The LSEK can solve the above PDEs with x …

This paper presents a new resolution strategy for multi-scale streamer discharge simulations
based on a second order time adaptive integration and space adaptive multiresolution. A …

We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale
reaction waves. This type of problem induces peculiar difficulties and potentially large …

In this paper, we have investigated a spatial predator–prey model with hunting cooperation
in predators. Using linear stability analysis, we obtain the condition for diffusive instability …