Free Access
Issue
ESAIM: M2AN
Volume 36, Number 4, July/August 2002
Page(s) 693 - 704
DOI https://doi.org/10.1051/m2an:2002030
Published online 15 September 2002
  1. P.R. Chernoff, Note on product formulas for operators semigroups. J. Funct. Anal. 2 (1968) 238-242. [CrossRef] [Google Scholar]
  2. P.R. Chernoff, Semigroup product formulas and addition of unbounded operators. Bull. Amer. Mat. Soc. 76 (1970) 395-398. [CrossRef] [Google Scholar]
  3. B.O. Dia and M. Schatzman, Commutateurs de certains semi-groupes holomorphes et applications aux directions alternées. RAIRO Modél. Math. Anal. Numér. 30 (1996) 343-383. [MathSciNet] [Google Scholar]
  4. E.G. Diakonov, Difference schemas with decomposition operator for Multidimensional problems. JNM and MPh 2 (1962) 311-319. [Google Scholar]
  5. I.V. Fryazinov, Increased precision order economical schemas for the solution of parabolic type multidimensional equations. JNM and MPh 9 (1969) 1319-1326. [Google Scholar]
  6. Z.G. Gegechkori, J.A. Rogava and M.A Tsiklauri, Sequential-Parallel method of high degree precision for Cauchy abstract problem solution. Tbilisi, in Reports of the Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics 14 (1999). [Google Scholar]
  7. D.G. Gordeziani, On application of local one dimensional method for solving parabolic type multidimensional problems of 2m-degree. Proc. Acad. Sci. GSSR 3 (1965) 535-542. [Google Scholar]
  8. D.G. Gordeziani and H.V. Meladze, On modeling multidimensional quasi-linear equation of parabolic type by one-dimensional ones. Proc. Acad. Sci. GSSR 60 (1970) 537-540. [Google Scholar]
  9. D.G. Gordeziani and H.V. Meladze, On modeling of third boundary value problem for the multidimensional parabolic equations of an arbitrary area by one-dimensional equations. JNM and MPh 14 (1974) 246-250. [Google Scholar]
  10. D.G. Gordeziani and A.A. Samarskii, Some problems of plates and shells thermo elasticity and method of summary approximation. Complex Anal. Appl. (1978) 173-186. [Google Scholar]
  11. N.N. Ianenko, Fractional steps method of solving multidimensional problems of mathematical physics. Nauka, Novosibirsk (1967) 196 p. [Google Scholar]
  12. T. Ichinose and S. Takanobu, The norm estimate of the difference between the Kac operator and the Schrodinger semigroup. Nagoya Math. J. 149 (1998) 53-81. [MathSciNet] [Google Scholar]
  13. K. Iosida, Functional analysis. Springer-Verlag (1965). [Google Scholar]
  14. T. Kato, The theory of perturbations of linear operators. Mir, Moscow (1972) 740 p. [Google Scholar]
  15. S.G. Krein, Linear equations in Banach space. Nauka, Moscow (1971), 464 p. [Google Scholar]
  16. A.M. Kuzyk and V.L. Makarov, Estimation of exactitude of summarized approximation of a solution of the Cauchy abstract problem. RAN USSR 275 (1984) 297-301. [Google Scholar]
  17. G.I. Marchuk, Split methods. Nauka, Moscow (1988) 264 p. [Google Scholar]
  18. J.A. Rogava, On the error estimation of Trotter type formulas in the case of self-Adjoint operator. Funct. Anal. Appl. 27 (1993) 84-86. [Google Scholar]
  19. J.A. Rogava, Semi-discrete schemas for operator differential equations. Tbilisi, Georgian Technical University press (1995) 288 p. [Google Scholar]
  20. A.A. Samarskii, Difference schemas theory. Nauka, Moscow (1977), 656 p. [Google Scholar]
  21. A.A. Samarskii and P.N. Vabishchevich, Additive schemas for mathematical physics problems. Nauka, Moscow (1999). [Google Scholar]
  22. R. Temam, Quelques méthodes de décomposition en analyse numérique. Actes Congrés Intern. Math. (1970) 311-319. [Google Scholar]
  23. H. Trotter, On the product of semigroup of operators. Proc. Amer. Mat. Soc. 10 (1959) 545-551. [CrossRef] [MathSciNet] [Google Scholar]

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