Front Tracking for Hyperbolic Conservation Laws

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How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Conservation laws on complex networks (2009, methodology): “Our construction is based on the wave-front tracking method; see [9,17,33].”
WELL-POSEDNESS OF HIGHER-ORDER CAMASSA-HOLM EQUATIONS (2009, background): “1) becomes the inviscid Burgers equation [24] (1.”
A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation (2006, background): “For an introduction to conservation laws, see for example Holden and Risebro (2002). In this article we prove rigorously that u converges strongly to a limit function u that is a weak solution u of (1.”
On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition (2007, unknown): “Karlsen, Lie and Risebro [11] showed that a front tracking method [10] converges to a weak solution of (1.”
Network models for supply chains (2005, methodology): “The construction of the solution and the proof is based on wave- or front-tracking method, see [5, 11].”
A review of numerical methods for nonlinear partial differential equations (2012, unknown): “The front tracking method was developed by Glimm and collaborators [87, 105], where a separate grid is used to mark and trace the interface whereas a ﬁxed grid is used in between these interfaces.”