Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws

Nils Henrik Risebro, Aslak Tveito

Type: Article

Publication Date: 1991-11-01

Citations: 52

DOI: https://doi.org/10.1137/0912076

View Publication

Locations

SIAM Journal on Scientific and Statistical Computing - View

Similar Works

Action	Title	Year	Authors
+	Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws.	1991	Nils Henrik Risebro Aslak Tveito
+ PDF Chat	A front tracking method for conservation laws in one dimension	1992	Nils Henrik Risebro Aslak Tveito
+	A Front Tracking Method for Conservation Laws with Boundary Conditions	1999	Kenneth H. Karlsen Knut–Andreas Lie Nils Henrik Risebro
+	On Front-Tracking Methods Applied to Hyperbolic Systems of Nonlinear Conservation Laws	1986	Pierre Charrier B. Tessieras
+	Further Development of a Conservative Front-Tracking Method for Systems of Conservation Laws in One Space Dimension	2005	Yan Liu Mao De-kang
+	A Front-Tracking Alternative to the Random Choice Method	1993	Nils Henrik Risebro
+	Front Tracking for Hyperbolic Conservation Laws	2003	Marc Laforest
+ PDF Chat	Front tracking for hyperbolic conservation laws	2003
+	Chapter 2 Front tracking method for systems of conservation laws	2002	Alberto Bressan
+	A Conservative Front-Tracking Method for Scalar Conservation Laws in One Space Dimension with Nonconvex Flux	2012	Jingting Hu De-kang Mao
+ PDF Chat	Two-Dimensional Front Tracking Based on High Resolution Wave Propagation Methods	1996	Randall J. LeVeque Keh‐Ming Shyue
+	Toward Front Tracking Based on Conservation in Two Space Dimensions	2000	Mao De-kang
+	The Front Tracking Method and Standard Riemann Semigroups	2009	Constantine M. Dafermos
+ PDF Chat	An improved front tracking method for the Euler equations	2006	Jeroen Witteveen Barry Koren P.G. Bakker
+	Stability of front tracking solutions to the initial and boundary value problem for systems of conservation laws	2007	Carlotta Donadello Andrea Marson
+	A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws	1993	Jan Olav Langseth Nils Henrik Risebro Aslak Tveito
+	Front tracking for a 2X2 system of conservation laws	2012	Paolo Baiti Edda Dal Santo
+	Stability of solutions constructed by the wave front tracking method for conservation laws	2022	Takanori Ebata Hiroki Ohwa
+	On the Front-Tracking Algorithm	1998	Paolo Baiti Helge Kristian Jenssen
+	A PROGRAM USING FRONT TRACKING IN THE SOLUTION OF SCALAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS	1981	Per Lötstedt

Works That Cite This (32)

Action	Title	Year	Authors
+	The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute	1995	Aslak Tveito Ragnar Winther
+	Flux-stability for conservation laws with discontinuous flux and convergence rates of the front tracking method	2020	Adrian M. Ruf
+ PDF Chat	An improved front tracking method for the Euler equations	2006	Jeroen Witteveen Barry Koren P.G. Bakker
+	A note on front tracking for the Keyfitz–Kranzer system	2013	Nils Henrik Risebro Franziska Weber
+	A Conservative Front Tracking Scheme for 1D Hyperbolic Conservation Laws	1993	Jan Olav Langseth Nils Henrik Risebro Aslak Tveito
+ PDF Chat	Convergence Rates of Monotone Schemes for Conservation Laws with Discontinuous Flux	2020	Jayesh Badwaik Adrian M. Ruf
+	A characteristic based numerical method with tracking for nonlinear wave equations	1996	Bruce Bukiet John A. Pelesko X.L. Li P. L. Sachdev
+	Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior	1995	Christian Klingenberg Nils Henrik Risebro
+	A Front-Tracking Method for Efficient Simulation of Miscible Gas Injection Processes	2005	Ruben Juanes Knut–Andreas Lie
+ PDF Chat	FRONT TRACKING FOR SCALAR BALANCE EQUATIONS	2004	Kenneth H. Karlsen Nils Henrik Risebro John D. Towers

Works Cited by This (17)

Action	Title	Year	Authors
+	Some numerical experiments with dafermos's method for nonlinear hyperbolic equations	1972	G. W. Hedstrom
+	Analysis of a singular hyperbolic system of conservation laws	1986	Eli L. Isaacson J. B. Temple
+	AZTEC: A front tracking code based on Godunov's method	1986	Blair Swartz Burton Wendroff
+ PDF Chat	A front-tracking alternative to the random choice method	1993	Nils Henrik Risebro
+	The Riemann Problem for Multicomponent Polymer Flooding	1989	Thormod Johansen Ragnar Winther
+	Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws	1982	Blake Temple
+	Front tracking for gas dynamics	1986	I‐Liang Chern James Glimm Oliver A. McBryan Bradley J. Plohr Sara Yaniv
+	Existence, Uniqueness, and Continuous Dependence for a System of Hyperbolic Conservation Laws Modeling Polymer Flooding	1991	Aslak Tveito Ragnar Winther
+	A Riemann Solver for a Two-Phase Multicomponent Process	1989	Thormod E. Johansen Aslak Tveito Ragnar Winther
+	Solutions in the large for nonlinear hyperbolic systems of equations	1965	James Glimm