The propagation of sound in particle models of compressible fluids

Numerische Mathematik

Volumn 88, Issue 3, 2001, Pages 581-601

  Yserentant, Harry ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035591848     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s211-001-8016-8     Document Type: Article

References (9)

1. Gauger, C., Leinen, R, Yserentant, H. (2000): The finite mass method. SIAM J. Numer. Anal. 37, 1768-1799
2. Landau, L.D., Lifschitz, E.M. (1991): Lehrbuch der Theoretischen Physik, Band VI, Hydrodynamik. Berlin: Akademie Verlag
3. Schoenberg, I. J. (1946): Contributions to the problem of approximation of equidistant data by analytic functions, A and B. Quart. Appl. Math. 4, 45-99, 112-141
4. Thomée, V. (1973): Spline-Galerkin methods for initial value problems with constant coefficients. In: G. A. Watson ed., Conference on the numerical solution of differential equations, Dundee 1973, Lecture Notes in Mathematics 363, pp. 164-175. Springer: Berlin Heidelberg New York
5. Vichnevetsky, R., Bowles, J. B. (1982): Fourier Analysis of numerical approximations of hyperbolic equations. SIAM: Philadelphia
6. Yserentant, H. (1997): A particle model of compressible fluids. Numer. Math. 76, 111-142
7. Yserentant, H. (1999): Particles of variable size. Numer. Math. 82, 143-159
8. Yserentant, H. (1999): Entropy generation and shock resolution in the particle model of compressible fluids. Numer. Math. 82, 161-177
9. Yserentant, H. (2000): A convergence analysis for the finite mass method for flows in external force and velocity fields. Report Nr. 136, SFB 382, Universität Tübingen