High order strong stability preserving time discretizations

S Gottlieb, DI Ketcheson, CW Shu - Journal of Scientific Computing, 2009 - Springer
Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

[图书][B] Strong stability preserving Runge-Kutta and multistep time discretizations

S Gottlieb, D Ketcheson, CW Shu - 2011 - World Scientific
Strong Stability Preserving Explicit Runge—Kutta Methods | Strong Stability Preserving
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …

On high order strong stability preserving Runge-Kutta and multi step time discretizations

S Gottlieb - Journal of scientific computing, 2005 - Springer
Strong stability preserving (SSP) high order time discretizations were developed for solution
of semi-discrete method of lines approximations of hyperbolic partial differential equations …

Time-marching schemes for spatially high order accurate discretizations of the Euler and Navier–Stokes equations

Y Du, JA Ekaterinaris - Progress in Aerospace Sciences, 2022 - Elsevier
Computational fluid dynamics (CFD) methods used for the numerical solution of the Euler
and Navier–Stokes equations have been sufficiently matured and enable to perform high …

Highly efficient strong stability-preserving Runge–Kutta methods with low-storage implementations

DI Ketcheson - SIAM Journal on Scientific Computing, 2008 - SIAM
Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration
of semidiscretizations of partial differential equations. SSP methods preserve stability …

Global optimization of explicit strong-stability-preserving Runge-Kutta methods

S Ruuth - Mathematics of Computation, 2006 - ams.org
Strong-stability-preserving Runge-Kutta (SSPRK) methods are a type of time discretization
method that are widely used, especially for the time evolution of hyperbolic partial differential …

Diagonally implicit Runge-Kutta methods for ordinary differential equations. A review

CA Kennedy, MH Carpenter - 2016 - ntrs.nasa.gov
A review of diagonally implicit Runge-Kutta (DIRK) methods applied to rst-order ordinary di
erential equations (ODEs) is undertaken. The goal of this review is to summarize the …

Asymptotic preserving implicit-explicit Runge--Kutta methods for nonlinear kinetic equations

G Dimarco, L Pareschi - SIAM Journal on Numerical Analysis, 2013 - SIAM
We discuss implicit-explicit (IMEX) Runge--Kutta methods which are particularly adapted to
stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible …

Optimal implicit strong stability preserving Runge–Kutta methods

DI Ketcheson, CB Macdonald, S Gottlieb - Applied Numerical Mathematics, 2009 - Elsevier
Strong stability preserving (SSP) time discretizations were developed for use with spatial
discretizations of partial differential equations that are strongly stable under forward Euler …

A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations

W Boscheri, G Dimarco, R Loubère, M Tavelli… - Journal of …, 2020 - Elsevier
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 …