Nonlinear Hyperbolic Problems

1. Front Matter

   Pages I-XV

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2. Approximate solution of the generalized Riemann problem and applications

   • A. Bourgeade, P. Le Floch, P. A. Raviart

   Pages 1-9

3. Computation of oscillatory solutions to partial differential equations

   • Björn Engquist

   Pages 10-22

4. Preliminary results on the extension of eno schemes to two-dimensional problems

   • Ami Harten

   Pages 23-40

5. Upwind differencing schemes for hyperbolic conservation laws with source terms

   • P. L. Roe

   Pages 41-51

6. The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes

   • Eitan Tadmor

   Pages 52-63

7. 2-D and 3-D Euler computations with finite element methods in aerodynamics

   • Billey V., Periaux J., Perrier P., Stoufflet B.

   Pages 64-81

8. A “box-scheme” for the euler equations

   • Jean-Jacques Chattot, Sylvie Malet

   Pages 82-102

9. Numerical techniques in elastoplasticity

   • J. F. Colombeau, A. Y. Le Roux

   Pages 103-114

10. An implicit centered scheme which gives non-oscillatory steady shocks

    • Virginie Daru, Alain Lerat

    Pages 115-127

11. A computer-aided system for investigation and construction of difference schemes of gas dynamics

    • Y. I. Shokin

    Pages 128-134

12. Lois de conservation et integrales d'energie des equations hyperboliques

    • S. K. Godounov

    Pages 135-149

13. On symmetrizing hyperbolic differential equations

    • Peter D. Lax

    Pages 150-151

14. A survey of nonstrictly hyperbolic conservation laws

    • Barbara Lee Keyfitz

    Pages 152-162

15. Admissibility criteria for phase boundaries

    • M. Slemrod

    Pages 163-171

16. The transformation from Eulerian to Lagrangian coordinates for solutions with discontinuities

    • David H. Wagner

    Pages 172-180

17. Two existence theorems for systems of conservation laws with dissipation

    • David Hoff

    Pages 181-194

18. Global solutions to some free boundary problems for quasilinear hyperbolic systems and applications

    • Li Ta-tsien, Li Da-qian

    Pages 195-209

19. Un theoreme d'existence globale en elasticite non lineaire mono-dimensionnelle

    • Michel Rascle

    Pages 210-220

20. A nonhomogeneous system of equations of nonisentropic gas dynamics

    • Wang Jinghua

    Pages 221-237

The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.

• differential equation
• finite element method
• hyperbolic system
• integral
• numerical method
• partial differential equation
• stability

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