Doctor of Physical-Mathematical sciences
Professor of Department of Computing Mathematics and Informatics of the Tbilisi State University
Name: Jemali Rogava
Date of Birth: 16 May, 1946
Place of Birth: Zugdidi, Georgia
Education: Tiliisi State University, Mechanical-Mathematical Faculty (Computing Mahtematics), 1963-1968, Diploma C.H. # 768471
Scientific Degree and Title: Candidat of Physical-Mathematical sciences on speciality “Computing Mathematics”, Diploma F.M. # 022830 (8 May 1985). Doctor of Physical-Mathematical sciences on speciality “Computing Mathematics”, Diploma # 000532 (3 March 1997), Professor of Department of Computing Mathematics and Informatics of the Tbilisi State University, # 0044 (12 May 2000).
Work Place and Position: I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Senior Scientist
Official Address: 380043 University Street 2, Tbilisi, Georgia, Tel.: 303581, Email: JRogava@viam.hepi.edu.ge.
Total Number of scientific articles in referable journals: 49
Area of scientific interests: Computing Mathematics and Informatics, Numerical Modeling of Dynamical Problems of Athmosphere and Plasma Physics
1. On One Discrete – Analytic Method of Solution of Parabolic Equations. Book “Approximate Methods of Solution of Mathematical Physics’ Problems”, Tbilisi, University Press, 1975, pp. 51-55 (Coauthors T. Vashakmadze, in Russian).
2. On the Numerical Realization of Solution os Dirichlet Boundery Value Problem for Sphere Casing Equations. Book “Approximate Methods of Solution of Mathematical Physics’ Problems”, Tbilisi, University Press, 1975, pp. 5-21 (Coauthors T. Abesadze, in Russian).
3. On the Investigation of Stability Semi – Discrete Schemes by Means of Chebyshev Orthogonal Polynomials. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 83, No 3, 1976, pp. 545-548 (in Russian).
4. On the Application of Chebyshev Polinomials in Iterative Processes. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 90, No 2, 1978, pp. 285-288 (in Russian).
5. On the Stability of Semi-Discretization Method for The Second Order Hyperbolic Differential – Operator Equations. Reports of Seminar of Institute of Applied Mathematics. No. 12-13, 1978, pp. 41-47 (in Russian).
6. Packet of Applied Programs of Calculations of Spatial Construction, Part I. Tbilisi University Press, 1982, p. 166 (Coauthors: T. Vashakmadze, etc., in Russia)
7. Packet of Applied Programs of Calculations of Spatial Construction, Part II. Tbilisi University Press, 1982, p. 160 (Coauthors: T. Vashakmadze, etc., in Russia).
8. On the Stability and Convergence of Some Semi-Discrete Three – Layer Schemes for Evolutionary Problems. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 144, No 1, 1984, pp. 57-60 (in Russian).
9. On the Stability and Convergence of the Semi-Discrete Method for an Hyperbolic Equation. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 116, No 2, 1984, pp. 273-276 (in Russian).
10. Investigation of Some Three – Layer Semi-Discrete Schemes on the Basis of Chebyshev Polinomials. Dissertation paper, Tbilisi 1984, p. 153 (in Russia).
11. Approximate Solution of Boundary Value Problems for an Abstract Elliptic Equation With the Constant Operator by The Chebyshev Operator Polinomials. Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 18, 1986, pp. 95-109 (in Russia).
12. Investigation of Three-Layer Stationary Iterative Scheme by Means of Chebyshev Polinomials of Two Variables. The First Conference of Mathematicians of Georgian Higher Educational Estabilishments, Kutaisi, 1986 (in Russian).
13. On the Approximate Solution of One Non-Classical Boundary Value Problem for an Abstract Elliptic Equation by Means of Method of Lines. Reports of Seminar of I Vekua Institute of Applied Mathematics, Vol. 2, N. 3, 1986, pp. 93-96 (in Russian)./
14. A Neutralized Semi-Discretization Scheme of the Total Approximation for An Abstract Hyperbolic Equation. Proceedings of the All – Union Symposium in Modern Problems of Mathematical Physics, Tbilisi, Vol. 1, pp. 338-348 (in Russian).
15. On Semi-Discrete Schemes for Solving Boundary Value Problems of The Three-Point Operator Equation System and Monotone Operator Abstract Elliptic Equation. Proceedings of I. Vekua Institute of Applied Mathematics, vol. 25, 1988, pp. 226-244 (in Russian).
16. On the Convergence of an Averagen Scheme of Summarized Approximation for an Abstract Parabolic Equation. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 136, No. 1, 1989, pp. 25-28 (in Russia).
17. The Estimation of Approximation Error for the Chernoff Formula in the Case of Self-Adjoint Operators. Reports of Seminar of I. Vekua Institute of Applied Mathematics, Vol. 4, No. 3, 1989, pp. 109-112 (in Russia)
18. Solution of Bitsadze-Samarskii Problem for an Abstract Elliptic Equation by Means of Semigroup Method. Book “Modern Problems of Applied Mathematics and Cybernetics”, Tbilisi University Press, 1991, pp. 28-32 (in Russia).
19. Explicity a Priori Error Estimation of the Approximate Solution of the Cauchy Problem by the Rote Method for an Abstract Parabolic Eqution. Reports of Enlarged Session of I. Vekua Institute of Applied Mathematics, Vol. 6, N 3, 1991, pp. 101-104 (in Russia)
20. The Estimation of Approximation Error for the Trotter formula in the Case of Self-Adjoint Operators. Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 42, 1991, pp. 44-58 (in Russian).
21. About Self-Adjoint Semigroups Approximation in Uniform Topology. Abstracts, International Symposium in Continuum Mechanics and Related Problems of Analysis Dedicated to Academician N. Musxelishvili’s Centenary, Tbilisi, “Metsniereba”, 1991, p. 181 (In Russian).
22. Parameter Equations (Methodical Pamplet). Tbilisi, Technical University Press, 1992, p. 32, (CoAuthors: A. Gogia, M. Nebieridze, in Georgian).
23. Parameter Inequalities (Methodical Pamplet). Tbilisi, Technical University Press, 1992, p. 80, (Coauthors: A. Gogia, M. Nebieridze, in Georgian).
24. Explicit Estimation for the Error of Parallel-Type Decomposition Method and Approximation of Self-Adjoint Semi-Groups in Uniform Topology. Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 44, 1992, pp. 86-109 (in Russia).
25. Linear Multistep Method and Associate Polynomials of the Solution of Cauchy Problem for the Abstract Parabolic Equations. Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 45, 1992, pp. 41-58 (in Russia).
26. Excercises in Informatics (Methodical Pamplet). Tbilisi, Technical University Press, 1993, p. 32, (Coauthors: Z. Nozadze, M. Ambroladze, in Georgian).
27. On the Error Estimation of Trotter-Type Formulae in the Case of Self-Adjoint Operator. Functional Analysis and It’s Applications, Vol. 27, No. 3, 1993, pp. 84-86 (in Russia).
28. Semi-Discrete Schemes for Operator Differencial Equations. Tbilisi, Technical University Press, 1995, p. 288.
29. On the Solution of Indignation Operator Equation With Close Operator in the Head Part. Reports of Enlargion Session of I. Vekua Instuitute of Applied Mathematics, Vol. 10, N 3, 1995 pp. 67-69 (Coauthor: D. Gulua).
30. Reducing the Tree-Level Scheme for Evolution Equation to Two-Level by method of Indignation. Reports of Enlargion Session of I. Vekua Instuitute of Applied Mathematics, Vol. 10, N 3, 1995 pp. 70-73 (Coauthor: D. Gulua).
31. Semi-Discrete Schemes for Operator Differencial Equations. Doctoral Dissertation paper, Tbilisi 1996, p. 243 (in Russia).
32. On the Stability and Convergence Semi-Discrete Schemes for an Evlolution Equation With Variable Operator. Abstracts, International Symposium Dedicated to the 90-th Birthday Anniversary of Academician I. Vekua, Tbilisi, 1997, p. 91 (Coauthor: R. Galdava).
33. On Aproximate Solution of Shcredinger Equation by Means of Semi-Discretization Method. Theses of reports, International Symposium on problems of Continuum Mechanics, Tbilisi, 1997, p. 139 (Coauthor: R. Galdava).
34. On a Stability of Multi-Step Method for an Abstract Parabolic Equation. Bulletin of TICMI, Tbilisi University Press, Vol. 1, 1997.
35. On the Stability and Convergence of Three-Layer Semi-Discrete Scheme for Quazi-Linear Abstract Hyperbolic Equation. Reports of Enlarged Session of I. Vekua Institute of Applied Mathematics, Vol. 12, N1-3, 1997 (Coauthor: M. Kudava).
36. On the Estimation of Green’s Difference Function. Theses of Reports, International Symposium on Problems of Continuum Mechanics, Tbilisi, 1997 (Coauthor: M. Kudava).
37. Brief Course of Linear Algebra and Analytic Geometry. Tbilisi, “Intelect”, 1997, p. 192 (Coauthor: R. Danelia).
38. On the Decomposition of a Resolving Operator of an Equation with variable Operator. Bulletin of TICMI, Tbilisi University Press, Vol. 2, 1998, pp. 51-55 (Coauthor: R. Galdava).
39. On the Error of Estimation of the Crank-Nicholson Semi-Discrete Scheme for the Abstract Parabolic Equation. Tbilisi, Proceedengs of I. Vekua Institute of Applied Mathematics, Vol. 48, 1998, pp. 129-159. (Coauthor R. Galdava)
40. The Investigation of the Stability of the Multi-Step Method for Operator Valued Abstract Parabolic Equation With the Use of Associative Polinomials. Bulletin of TICMI, Tbilisi University Press, Vol. 3, 1999 (Coauthor: R. Galdava).
41. Sequential-Parallel Method of High Degree Precision for Cauchy Abstract Problem Solution. Tbilisi, Reports of Enlarged Session of The Seminar of I. Vekua Institute of Applied Mathematics. 1999, Vol. 14, № 3, pp. 45-48 (Coauthors Z. Gegechkori, M. Tsiklauri).
42. Sequential-Parallel Decomposition Method of High Degree Precision for Nonhomogenous Evolution Equation. - Proceedings of Javakhishvili Tbilisi State University, Applied Mathematics and Informatics, Vol. 330 (20), №1, 2000, pp. 9-14 (Coauthors Z. Gegechkori, M. Tsiklauri).
43. High Degree Precision Decomposition Formulas of Semigroup Approximation. Tbilisi, Reports of Enlarged Session of The Seminar of I. Vekua Institute of Applied Mathematics. 2001, Vol. 16, №1-3 pp. 89-92, (Coauthors Z. Gegechkori, M. Tsiklauri).
44. High Degree Precision Decomposition Method for an Evolution Problem. Minsk, Computational Methods in Applied Mathematics. 2001, Vol. 1, №2, pp. 173-187 (Coauthors Z. Gegechkori, M. Tsiklauri).
45. High Degree Precision Decompostion Method for the Nonhomogenous Evolution Problem With an Operator Under a Split Form. Bulletin of TICMI. 2001, Vol. 5, pp. 13-18 (Coauthors Z. Gegechkori, M. Tsiklauri).
46. Differential Scheme of High Degree Precision Decomposition of Nonhomogenous Evolution Problem. Tbilisi, AMI, 2001, Vol. 6, №1. pp. 45-80 (Coauthors Z. Gegechkori, M. Tsiklauri).
47. High Degree Precision Decomposition Method for the Evolution Problem With an Operator Under a Split Form. Paris, M2AN, 2002, Vol. 36, №4, pp. 693-704 (Coauthors Z. Gegechkori, M. Tsiklauri).