Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

Strong Stability Preserving Explicit Runge—Kutta Methods | Strong Stability Preserving
Runge-Kutta and Multistep Time Discretizations World Scientific Search This Book Anywhere …

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 …

This paper presents a variational reconstruction for the high order finite volume method in
solving the two-dimensional Navier–Stokes equations on arbitrary unstructured grids. In the …

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 …

This paper presents a class of semi-implicit finite difference weighted essentially non-
oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of …

Strong stability preserving (SSP) time discretizations were developed for use with spatial
discretizations of partial differential equations that are strongly stable under forward Euler …

In this paper, the compact least-squares finite volume method on unstructured grids
proposed in our previous paper is extended to multi-dimensional systems, namely the two …

Strong stability preserving (SSP) Runge--Kutta methods are often desired when evolving in
time problems that have two components that have very different time scales. Where the …

Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …