On the approximation of the non-autonomous non-linear Riemann problem

Brandner, Marek; Míka, Stanislav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 9-23

Abstract

top
In this paper we study conservation laws with spatially-varying flux functions. We give a survey of some schemes (based on finite volume methods) to solve non-autonomous conservation laws of the form q t + [ g ( q , x ) ] x = 0 . Numerical experiments are presented.

How to cite

top

Brandner, Marek, and Míka, Stanislav. "On the approximation of the non-autonomous non-linear Riemann problem." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 9-23. <http://eudml.org/doc/271290>.

@inProceedings{Brandner2004,
abstract = {In this paper we study conservation laws with spatially-varying flux functions. We give a survey of some schemes (based on finite volume methods) to solve non-autonomous conservation laws of the form $q_t + [g(q,x)]_x = 0$. Numerical experiments are presented.},
author = {Brandner, Marek, Míka, Stanislav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite volume methods; upwind schemes; central schemes; fluid flow; male urethra},
location = {Prague},
pages = {9-23},
publisher = {Institute of Mathematics AS CR},
title = {On the approximation of the non-autonomous non-linear Riemann problem},
url = {http://eudml.org/doc/271290},
year = {2004},
}

TY - CLSWK
AU - Brandner, Marek
AU - Míka, Stanislav
TI - On the approximation of the non-autonomous non-linear Riemann problem
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 9
EP - 23
AB - In this paper we study conservation laws with spatially-varying flux functions. We give a survey of some schemes (based on finite volume methods) to solve non-autonomous conservation laws of the form $q_t + [g(q,x)]_x = 0$. Numerical experiments are presented.
KW - finite volume methods; upwind schemes; central schemes; fluid flow; male urethra
UR - http://eudml.org/doc/271290
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.