views: 1096
Readers community rating: votes 0
1. Bol'tsman L. Dal'nejshie issledovaniya teplovogo ravnovesiya mezhdu molekulami gaza // Izbrannye trudy. M.: Nauka, 1984. S. 125–189.
2. Bol'tsman L. O svyazi mezhdu vtorym nachalom mekhanicheskoj teorii teploty i teoriej veroyatnostej v teoremakh o teplovom ravnovesii. Izbrannye trudy. M.: Nauka, 1984. S. 190–235.
3. Godunov S.K., Sultangazin U.M. O diskretnykh modelyakh kineticheskogo uravneniya Bol'tsmana // Uspekhi matem. nauk. 1971. T. 26. № 3 (159). C. 3–51.
4. Vedenyapin V.V. Kineticheskie uravneniya Bol'tsmana i Vlasova. M.: Fizmatlit, 2001. 112 s.
5. Vol'pert A.I., Khudyaev S.I. Analiz v klassakh razryvnykh funktsij i uravneniya matematicheskoj fiziki. M.: Nauka, 1975. 394 s.
6. Batischeva Ya.G., Vedenyapin V.V. II-j zakon termodinamiki dlya khimicheskoj kinetiki // Matem. modelirovanie. 2005. T. 17. № 8. S. 106–110.
7. Vedenyapin V.V., Orlov Yu.N. O zakonakh sokhraneniya dlya polinomial'nykh gamil'tonianov i dlya diskretnykh modelej uravneniya Bol'tsmana // Teor. i matem. fiz. 1999. T. 121. № 2. S. 307–315.
8. Vedenyapin V.V., Adzhiev S.Z. Ehntropiya po Bol'tsmanu i Puankare // Uspekhi matem. nauk. 2014. T. 69. № 6. S. 45–80.
9. Mozer Yu. Lektsii o gamil'tonovykh sistemakh. M.: Mir, 1973. 168 s.
10. Bryuno A.D. Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity. M.: Nauka, 1990. 296 s.
11. Adzhiev S., Melikhov I., Vedenyapin V. The H-theorem for the chemical kinetic equations with discrete time and for their generalizations // J. Physics: Conference Series. 2017. V. 788. № 1. S. 012001.
12. Adzhiev S.Z., Melikhov I.V., Vedenyapin V.V. The H-theorem for the physico-chemical kinetic equations with discrete time and for their generalizations // Physica A: Statistical Mechanics and its Applicat. 2017. V. 480. P. 39–50.
13. Adzhiev S.Z., Melikhov I.V., Vedenyapin V.V. The H-theorem for the physico-chemical kinetic equations with explicit time discretization // Physica A: Statistical Mechanics and its Applicat. 2017. V. 481. P. 60–69.
14. Eremin A.Yu., Mar'yashkin N.Ya., Sinyukova O.N., Tygliyan A.V., Filippov S.S., Chechetkin V.M. Chislennoe modelirovanie kinetiki obrazovaniya tyazhelykh ehlementov: postanovka zadachi i metod rascheta: Preprint № 21. M.: IPM AN SSSR. 1981.
15. Burbidge E.M., Burbidge G.R., Fowler W.A., Hoyle F. Synthesis of the elements in Stars // Revs. Mod. Phys. 1957. V. 29. № 4. P. 547–650.
16. Fauler U., Khojl F. Nejtrinnye protsessy i obrazovanie par v massivnykh zvezdakh i sverkhnovykh. M.: Mir, 1976.
17. Blake J.B., Schramm D.N. A consideration of the neutron capture time scale in the s-process // Astrophys. J. 1975. V. 197. № 3. 615.
18. Ward R.A., Newman M.J., Clayton D.D. S-process Studies: Branching and the Time Scale // Astrophys. J. 1976. V. 205. № 2. 655.
19. Seeger P.A., Fowler W.A., Clayton D.D. Nucleosynthesis of heavy elements by neutron capture // The Astrophysical Journal Supplement. 1965. V. 11. P. 121–166.
20. Schramm D.N., Norman E.B. Heavy Element Nucleosynthesis // Proceedings of the 3-rd International Conference on Nuclei far from Stability. Cern 76-13, Geneva, 1976. P. 570.
21. Ivanova L.H., Imshennik V.S., Chechetkin B.M. Chislennye raschety termoyadernogo vzryva vyrozhdennogo uglerodnogo yadra zvezdy // Astronom. zh. 1977. T. 54. № 3. C. 661.
22. Janecke J., Eynon B.P. Masses from inhomogeneous partial difference equations // Atomic Data and Nucl. Data Tables. 1976. V. 17. P. 46 7–473.
23. Myers W. D., Swiatecki W.J. Average nuclear properties // Ann. Phys. 1969. V. 55. 395.
24. Gear C.W. The automatic integrating of stiff ordinary differential equations. Information Proc. 68, “North-Holland Publishing Company”, Amsterdam, 1969. P. 187.
25. Gol'berg S.M., Zakharov A.Yu., Filippov S.S. O nekotorykh chislennykh metodakh resheniya zhestkikh sistem obyknovennykh differentsial'nykh uravnenij: Preprint № 12. M.,IPM AN SSSR. 1976.
26. Gibbs N.E., Poole W.G.-jr., Stockmeyer P.K. An Algorithm for Reducing the Bandwidth And Profile of a Sparse Matrix // SIAM J. Numer. Anal. 1976. V. 13. № 2. P. 236.
27. Bobylev A.V., Cercignani C. Discrete velocity models for mixtures // J. Statist. Phys. 1998. V. 91. № 1/2. P. 327–341.
28. Vedenyapin V.V. Velocity inductive construction for mixtures // Transp. Theory and Statist. Phys. 1999. V. 28. № 7. P. 727–742.
29. Vedenyapin V.V., Amosov S.A., Toskano L. Invarianty dlya gamil'tonianov i kineticheskikh uravnenij // Uspekhi matem. nauk. 1999. T. 54. № 5. S. 153–154.
30. Vedenyapin V.V., Amosov S.A., Toskano L. Diskretnye modeli uravneniya Bol'tsmana dlya smesej // Matem. modelirovanie. 2000. № 7. S. 18–22.
31. Amossov S.A. Two-level discrete models of Boltzmann equation for binary mixtures // Transp. Theory and Statist. Phys. 2002. V. 31. № 2. P. 125–139.
32. Vedenyapin V.V., Amosov S.A. O diskretnykh modelyakh uravneniya Bol'tsmana dlya smesej // Differents. ur-niya. 2000. T. 36. № 7. S. 15–20.
33. Amossov S.A. Discrete models of relativistic Boltzmann equation for mixtures // Physica A: Statistical Mechanics and Its Applications. 2001. V. 301. № 1. P. 330–340.
34. Adzhiev S.Z., Amosov S.A., Vedenyapin V.V. Odnomernye diskretnye modeli kineticheskikh uravnenij dlya smesej // Zh. vychisl. matem. i matem. fiz. 2004. T. 44. № 3. S. 553–558.
35. Adzhiev S.Z., Vedenyapin V.V. O razmerakh diskretnykh modelej uravneniya Bol'tsmana dlya smesej // Zh. vychisl. matem. i matem. fiz. 2007. T. 47. № 6. S. 1045–1054.
36. Bobylev A.V., Vinerean M.C. Construction of discrete kinetic models with given invariants // J. Stat. Phys. 2008. V. 132. № 1. P. 153–170.
37. Gasnikov A.V., Gasnikova E.V. Ob ehntropijno-podobnykh funktsionalakh, voznikayuschikh v stokhasticheskoj khimicheskoj kinetike pri kontsentratsii invariantnoj mery i v kachestve funktsij Lyapunova dinamiki kvazisrednikh // Matem. zametki. 2013. T. 94. № 6. C. 819–827.