The main concern of this paper is to develop a new class of A-stable fourth-order numerical
scheme for solving initial value problems. The idea is an evolutionary and heuristic …

In this work, we present the explicit strong stability-preserving (SSP) three-derivative Runge–
Kutta (ThDRK) methods and propose the order accuracy conditions for ThDRK methods by …

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 …

High order strong stability preserving (SSP) time discretizations ensure the nonlinear non-
inner-product strong stability properties of spatial discretizations suited for the stable …

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 study, we introduce the explicit strong stability preserving (SSP) two-derivative two-
step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht's …

In this paper, we discuss the class of implicit–explicit (IMEX) methods for systems of ordinary
differential equations where the explicit part has strong stability preserving (SSP) property …

In this paper, we develop the explicit second derivative multistep methods (SDMMs) for the
Euler and Navier–Stokes equations. The SDMMs use the calculated results from 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 …