Vector difference calculus for physical lattice models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 1, 1999, Pages 1217-1233

  Schwalm, W ^a   Moritz, B ^a   Giona, M ^b   Schwalm, M ^c  

^a UNIVERSITY OF NORTH DAKOTA   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c University of North Dakota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009467317     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.1217     Document Type: Article

References (19)

1. G. Forsythe, Finite-Difference Methods for Partial Differential Equations (Wiley, New York, 1960).
2. R. Richtmyer, Difference Methods for Initial Value Problems (Interscience, New York, 1967).
3. O. Axelsson and V. Barker, Finite Element Solution of Boundary Value Problems (Academic, Orlando FL, 1984).
4. E. Cartan, Leçons sur les Invariants Intégraux (Hermann & Fils, Paris, 1922).
5. H. Flanders, Differential Forms with Applications to the Physical Sciences (Academic, New York, 1963).
6. Lattice Gas Methods for Partial Differential Equations, edited by G. Doolen (Addison-Wesley, New York, 1990).
7. J. Fraleigh, First Course in Abstract Algebra (Addison-Wesley, Reading, MA, 1976).
8. J. Munkres, Elements of Algebraic Topology (Addison-Wesley, Menlo Park, CA, 1984).
9. M. Nakahara, Geometry, Topology and Physics (Adam Hilger, Bristol, 1991).
10. P. Alexandroff, Elementary Concepts of Topology (Dover, New York, 1961).
11. M. Giona, A. Adrover, and A. R. Giona, in Fractals in the Natural and Applied Sciences, edited by M. Novak (North Holland, Amsterdam, 1994), p. 154.
12. W. Schwalm, M. Schwalm, and M. Giona, Phys. Rev. E 55, 6741 (1997).
13. P. J. Roache, Computational Fluid Dynamics (Hermosa, Albuquerque, 1972).
14. S. Alexander, J. Bernasconi, and R. Orbach, J. Phys. (Paris), Colloq. 39, C6-706 (1978)
15. S. Alexander and R. Orbach, J. Phys. (France) Lett. 43, L625 (1982)
16. S. Alexander, C. Laermans, R. Orbach, and H. M. Rosemberg, Phys. Rev. B 28, 4615 (1983)
17. Phys. Rev. Bsee also I. Webman and G. Grest, 31, 1689 (1985).
18. W. Schwalm and M. Schwalm, Phys. Rev. B 37, 9524 (1988).
19. M. Giona, W. Schwalm, M. Schwalm and A. Adrover, Chem. Eng. Sci. 51, 4717 (1996).