Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws

By Benoit Perthame, Chiara Simeoni. 2003

52 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/b9ffcf01a84209e5b7ba2053c4162b840d0b746e

How researchers see this paper

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

In Applied Mathematics

1. M. Castro
2. C. Parés
3. Carlos Parés Madroñal

In Computational Mechanics

1. M. Castro
2. C. Parés
3. Carlos Parés Madroñal
4. Michael Dumbser

Citations in the corpus

• On the well-balance property of Roe?s method for nonconservative hyperbolic systems (2004, result): “This idea of constructing numerical schemes that preserve some equilibria, which are called in general well-balanced schemes, has been extended in different ways: see [2, 6–9,12, 14, 17–20,24, 26, 27, 34, 37].”
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework (2006, unknown): “preserve some equilibria: see [2], [3], [5], [7], [10], [11], [12], [17], [18], [23], [24], [27], [29], [31], [32], [36], [37], [38], [39], .”
• Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods (2008, unknown): “See [50], [4], [26], [27], [40], [22], [23], [46], [9], [56], [47], [12], [13], [3], [6], [43].”