This article deals with the development of a numerical method for the compressible Euler
system valid for all Mach numbers: from extremely low to high regimes. In classical fluid …

In this work, we consider the development of implicit-explicit total variation diminishing (TVD)
methods (also termed SSP: strong stability preserving) for the compressible isentropic Euler …

High order strong stability preserving (SSP) time discretizations are advantageous for use
with spatial discretizations with nonlinear stability properties for the solution of hyperbolic …

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 …

High-order strong stability preserving (SSP) time discretizations are often needed to ensure
the nonlinear (and sometimes non-inner-product) 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 …

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

Problems with components that feature significantly different time scales, where the stiff time-
step restriction comes from a linear component, implicit-explicit (IMEX) methods alleviate this …

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 …

This paper presents a systematic theoretical framework to derive the energy identities of
general implicit and explicit Runge--Kutta (RK) methods for linear seminegative systems. It …