The reaction-diffusion model can generate a wide variety of spatial patterns, which has been
widely applied in chemistry, biology, and physics, even used to explain self-regulated …

The paper is devoted to complex technical and economic studies of the large-scale
combined production of methanol and electricity based on brown coal. The proposed …

The paper is devoted to the parametric stability optimization of explicit Runge–Kutta
methods with higher-order derivatives. The key feature of these methods is the dependence …

A second-order L-stable exponential time-differencing (ETD) method is developed by
combining an ETD scheme with approximating the matrix exponentials by rational functions …

In this work, stabilized explicit integrators for local parametrization are introduced to
calculate the dynamics of constrained multi-rigid-body systems, including those based on …

An implicit–explicit (IMEX) relaxation extrapolated Runge–Kutta (RERK) and energy-
preserving finite element method is designed for Klein–Gordon–Schrödinger (KGS) …

This study proposes a class of improved Runge–Kutta–Chebyshev (RKC) methods for the
stiff systems arising from the spatial discretization of partial differential equations. We can …

The numerical derivation of high-order Extended Stability Runge-Kutta (ERSK) integration
schemes presents significant challenges due to the high-dimensional, non-convex, non …

A new algorithm is developed and analyzed for multi-dimensional non-linear parabolic
partial differential equations (PDEs) which are semi-discretized in the spatial variables …

The paper is devoted to the optimization of the explicit two-derivative sixth-order Runge–
Kutta method in order to obtain low dissipation and dispersion errors. The method is …