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Journal ArticleDOI

On Centered Difference Equations for Hyperbolic Systems

Burton Wendroff
- 01 Sep 1960 - 
- Vol. 8, Iss: 3, pp 549-555
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This article is published in Journal of The Society for Industrial and Applied Mathematics.The article was published on 1960-09-01. It has received 57 citations till now. The article focuses on the topics: Relatively hyperbolic group & Hyperbolic secant distribution.

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An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations

R. M. Beam, +1 more
TL;DR: In this article, an implicit finite-difference scheme is developed for the efficient numerical solution of nonlinear hyperbolic systems in conservation law form, which is second-order time-accurate, noniterative, and in a spatially factored form.
Journal ArticleDOI

An implicit finite-difference algorithm for hyperbolic systems in conservation-law form

Richard M. Beam, +1 more
- 01 Sep 1976 - 
TL;DR: In this article, an implicit finite-difference scheme is developed for the efficient numerical solution of nonlinear hyperbolic systems in conservation-law form, which is second-order time-accurate, noniterative, and in a spatially factored form.
Journal ArticleDOI

From finite differences to finite elements a short history of numerical analysis of partial differential equations

Vidar Thomée
- 01 Mar 2001 - 
TL;DR: In this paper, the history of numerical analysis of partial differential equations is described, starting with the work of Courant, Friedrichs, and Lewy, and proceeding with the development of first finite difference and then finite element methods.
Journal ArticleDOI

Combination of Nonlinear and Linear Optimization of Transient Gas Networks

Pia Domschke, +5 more
- 01 Oct 2011 - 
TL;DR: Numerical experiments show that better approximations to the optimal control problem can be obtained by using solutions of the sequential quadratic programming algorithm to improve the mixed-integer linear program.
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A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations

Artur Palha, +1 more
- 01 Jan 2017 - 
TL;DR: This work presents a mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations that in the limit of vanishing dissipation exactly preserves mass, kinetic energy, enstrophy and total vorticity on unstructured triangular grids.