Spatial discretization of the dusty gas equations
Authors:
David Gottlieb and Roger Temam
Journal:
Quart. Appl. Math. 62 (2004), 181-199
MSC:
Primary 76T15; Secondary 35Q35, 65M06, 65M70, 76M20, 76N15, 80A30
DOI:
https://doi.org/10.1090/qam/2032578
MathSciNet review:
MR2032578
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: In this article we consider a semi-discretization of the dusty gas equations corresponding to a spatial discretization by finite differences or pseudo-spectral methods and discuss the stability and well-posedness of the corresponding system of ordinary equations.
R. Aris, The Mathematical Theory of the Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975
- H.-C. Chang, D. Gottlieb, M. Marion, and B. W. Sheldon, Mathematical analysis and optimization of infiltration processes, J. Sci. Comput. 13 (1998), no. 3, 303–321. MR 1656916, DOI https://doi.org/10.1023/A%3A1023271100371
A. Ditkowski, D. Gottlieb, and R. Temam, article in preparation
- Alexandre Ern and Vincent Giovangigli, Multicomponent transport algorithms, Lecture Notes in Physics. New Series m: Monographs, vol. 24, Springer-Verlag, Berlin, 1994. MR 1321142
- Daniele Funaro, Spectral elements for transport-dominated equations, Lecture Notes in Computational Science and Engineering, vol. 1, Springer-Verlag, Berlin, 1997. MR 1449871
- Daniele Funaro, Polynomial approximation of differential equations, Lecture Notes in Physics. New Series m: Monographs, vol. 8, Springer-Verlag, Berlin, 1992. MR 1176949
- David Gottlieb and Steven A. Orszag, Numerical analysis of spectral methods: theory and applications, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977. CBMS-NSF Regional Conference Series in Applied Mathematics, No. 26. MR 0520152
R. Jackson, Transport in Porous Catalysts, Elsevier Science Publisher, 1977
- F. A. Williams, Lectures on applied mathematics in combustion. Past contributions and future problems in laminar and turbulent combustion, Phys. D 20 (1986), no. 1, 21–34. MR 858792, DOI https://doi.org/10.1016/0167-2789%2886%2990094-1
R. Aris, The Mathematical Theory of the Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975
H. C. Chang, D. Gottlieb, M. Marion, and B. W. Sheldon, Mathematical Analysis and Optimization of Infiltration Processes, Journal of Scientific Computing, Vol. 13, No. 3, 1998
A. Ditkowski, D. Gottlieb, and R. Temam, article in preparation
A. Ern and V. Giovangigli, Multicomponent Transport Algorithms, Lecture Notes in Physics, Springer-Verlag 24, 1994
D. Funaro, Spectral elements for transport-dominated equations, Lecture Notes in Computational Science and Engineering, 1, Springer-Verlag, Berlin, 1997
D. Funaro, Polynomial approximation of differential equations, Lecture Notes in Physics, New Series m: Monographs, 8, Springer-Verlag, Berlin, 1992
D. Gottlieb and S. A. Orszag, Numerical analysis of spectral methods: theory and applications, CBMS-NSF Regional Conference Series in Applied Mathematics, No. 26, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1977
R. Jackson, Transport in Porous Catalysts, Elsevier Science Publisher, 1977
F. A. Williams, Lectures on applied mathematics in combustion. Past contributions and future problems in laminar and turbulent combustion, Phys. D 20, no. 1, 21–34 (1986)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76T15,
35Q35,
65M06,
65M70,
76M20,
76N15,
80A30
Retrieve articles in all journals
with MSC:
76T15,
35Q35,
65M06,
65M70,
76M20,
76N15,
80A30
Additional Information
Article copyright:
© Copyright 2004
American Mathematical Society