Localization effects and measure source terms in numerical schemes for balance laws

Mathematics of Computation

Volumn 71, Issue 238, 2002, Pages 553-582

  Gosse, Laurent ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Balance laws; Finite difference schemes; Nonconservative products; Relaxation schemes

Indexed keywords

EID: 0036013523     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01354-0     Document Type: Article

References (41)

1. Convergence of relaxation schemes for conservation laws
2. ∞ data
3. First-order quasilinear equations with boundary conditions
4. Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
5. One-dimensional transport equations with discontinuous coefficients
6. Kružkov's inequalities for scalar conservation laws revisited
7. Un schéma équilibre adapté au modèle d'atmosphère avec termes de gravité
8. Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations
9. Monotone difference approximations for scalar conservation laws
10. Generalized characteristics and the structure of solutions of hyperbolic conservation laws
11. Definition and weak stability of a nonconservative product
12. Multiple steady states for 1-D transonic flow
13. The convergence rate of finite difference schemes in the presence of shocks
14. Recent developments of the GRP method
15. A generalized Riemann problem for quasi one dimensional gas flows
16. A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws
17. Sur la stabilité des approximations implicites des lois de conservation scalaires non-homogènes
18. A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms
19. A well-balanced flux splitting scheme designed for hyperbolic systems of conservation laws with source terms
20. Numerical approximation of linear one-dimensional conservation equations with discontinuous coefficients
21. Un schéma-équilibre adapté aux lois de conservation scalaires non-homogènes
22. A well balanced scheme for the numerical processing of source terms in hyperbolic equations
23. Nonconservative products in bounded variation functions
24. A modified fractional step method for the accurate approximation of detonation waves
25. Why nonconservative schemes converge to wrong solutions: Error analysis
26. Convergence of the 2 × 2 Godunov method for a general resonant nonlinear balance law
27. The relaxing schemes for systems of conservation laws in arbitrary space dimensions
28. Contractive relaxation systems and the scalar multidimensional conservation law
29. Stability of conservation laws with discontinuous coefficients
30. First order quasilinear equations in several independent space variables
31. Representation of weak limits and definition of nonconservative products
32. A study of numerical methods for hyperbolic equations with stiff source terms
33. Nonlinear resonance for quasilinear hyperbolic equation
34. Long-time behavior for conservation laws with source in a bounded domain
35. A new definition of nonconservative products and weak stability results
36. Error bounds for fractional step methods for conservation laws with source terms
37. Systems of conservation laws with invariant submanifolds
38. On the relation between the upwind differencing schemes of Engquist-Osher, Godunov and Roe
39. Kinetic semi-discretization of scalar conservation laws and convergence by using averaging lemmas
40. The space BV and quasilinear equations