In this paper we describe the construction of second derivative general linear method with
Runge–Kutta stability property preserving the strong stability properties of spatial …

This paper reviews strong stability preserving discrete variable methods for differential
systems. The strong stability preserving Runge–Kutta methods have been usually …

We study the construction of explicit second derivative general linear methods (SGLMs) with
strong stability preserving (SSP) property which are designed for the numerical solution of …

In this paper, we find sufficient strong stability preserving (SSP) conditions for second
derivative general linear methods (SGLMs). Then we construct some optimal SSP SGLMs of …

We investigate strong stability preserving (SSP) general linear methods (GLMs) for systems
of ordinary differential equations. Such methods are obtained by the solution of the …

In this work, we use a formulation based on forward Euler and backward derivative condition
to obtain A-stable SSP implicit SGLMs up to order five and stage order q= p and SSP implicit …

In this paper, we discuss the construction of a class of implicit-explicit (IMEX) methods for
systems of ordinary differential equations which their right hand side can be split into two …

Time stepping methods are often required for solving system of ordinary differential
equations arising from spatial discretization of partial differential equations. In our prior work …

When faced with the task of solving hyperbolic partial differential equations (PDEs), high
order, strong stability-preserving (SSP) time integration methods are often needed to ensure …

For many systems of differential equations modeling problems in science and engineering,
there are often natural splittings of the right hand side into two parts, one of which is non-stiff …