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International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering

AMINSE 2017: Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering pp 1–15Cite as

Life and Activities of David Gordeziani

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 276))

Abstract

David Gordeziani was born in Tbilisi on December 9 of 1937. Since 1945 attended Tbilisi Secondary School No 1, which he graduated with the gold medal in 1956. In the same year he became a student of the faculty of Mechanics and Mathematics at Ivane Javakhishvili Tbilisi State University (TSU).

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References

  1. Abuladze, I.O., Gordeziani, D.G., Dzhangveladze, T.A., Korshiya, T.K.: Discrete Models for a nonlinear magnetic-field-scattering problem with thermal Conductivity (Russian). Differential’nye Uravnenyia, 22, 7, 1119–1129 (1986). English translation: Differential Equations, 22, 7, 769–777 (1986)

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  2. Abuladze, I.O., Gordeziani, D.G., Dzhangveladze, T.A., Korshiya, T.K.: On the numerical modeling of a nonlinear problem of the diffusion of a magnetic field with regard to heat conductivity. Proc. I. Vekua Inst. Appl. Math. (Tbiliss. Gos. Univ. Inst. Prikl. Math. Trudy), 18, 48–67 (1986) (Russian, Georgian and English summaries)

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  3. Avalishvili G., Avalishvili M., Gordeziani D.: On a hierarchical model reduction algorithm for elastic multi-structures. In: 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCMV), 6th European Conference on Computational Fluid Dynamics (ECFDVI), July 20–25, Barcelona, Spain (2014)

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  9. Avalishvili, G., Avalishvili, M., Gordeziani, D.: On dynamical three-dimensional fluid-solid interaction problem. Georgian Math. J. 15(4), 601–618 (2008)

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  10. Avalishvili, G., Avalishvili, M., Gordeziani, D.: On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation. Appl. Math. Lett. 24(4), 566–571 (2011)

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  12. Avalishvili, G., Avalishvili, M., Gordeziani, D.: On the investigation of dynamical hierarchical models of elastic multi-structures consisting of three-dimensional body and multilayer substructure. Bull. Georgian Natl. Acad. Sci. (N.S.) 8(3), 20–31 (2014)

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  14. Avalishvili, G., Gordeziani, D.: On the investigation of plurievolution equations in abstract spaces. Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 14(3), 12–15 (1999)

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  15. Avalishvili, G., Gordeziani, D.: On one class of spatial nonlocal problems for some hyperbolic equations. Georgian Math. J. 7(3), 417–425 (2000)

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  17. Berikelashvili, G., Gordeziani, D., Kharibegashvili, S.: Finite difference scheme for one mixed problem with integral condition. In: Proceedings of the 2\(^{nd}\) WSEAS International Conference Finite Differences, Finite Elements, Finite Volumes, Boundary Elements (Eand-B 2009), Tbilisi, Georgia, June 26–28, pp. 118–120 (2009)

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  18. Berikelashvili, G.K., Gordeziani, D.G.: On a nonlocal generalization of the biharmonic Dirichlet problem (Russian). Differ. Uravn. 46, 3, 318-325 (2010); Translation in Differ. Equ. 46, 3, 321–328 (2010)

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  19. Berikelashvili, G., Gordeziani, D.: On a nonlocal generalization of the biharmonic Dirichlet problem. Diff. Equ. 46(3), 1–8 (2010)

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  20. Davitashvili, T., Gordeziani, D., Samkharadze, I.: Numerical modeling of oil infiltration into the soil for risk assessment. In: Book “Informational and Communication Technologies—Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80\(^{th}\) Anniversary of I.V. Prangishvili”, Nova, USA, pp. 154-161 (2011)

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  21. Davitashvili, T., Gordeziani, D., Geladze, G., Sharikadze, M.: Investigation of the circumstance of the light-signals at the streets’ crossing point influence upon the harmful substances’ concentrations distribution by numerical modeling. Appl. Math. Inform. Mech. 13(2), 57–61 (2008)

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  22. Davitashvili, T., Gordeziani, D., Khvedelidze, Z.: On the mathematical model of the Georgian transport coridor contamination. Bull. Georgian Acad. Sci. 162, 46–50 (2000)

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  23. Ebel, A., Davitashvili, T., Elbern, H., Gordeziani, D., Jakobs, H.J., Memmesheimer, M.: Tavkhelidze I., Numerical modelling of air pollution on regional and local scales. Appl. Math. Inform. Mech. 9(2), 1–13 (2004)

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  24. Gordeziani, D., Avalishvili, M.: Investigation of hierarchic models of prismatic shells. Bull. Georgian Acad. Sci. 165(3,2), 485–488 (2002)

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  25. Gordeziani, D., Avalishvili, G.: On approximation of a dynamical problem for elastic mixtures by two-dimensional problems. Bull. Georgian Acad. Sci. 170(1), 46–49 (2004)

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  26. Gordeziani, D., Davitashvili, T., Davitashvili, T.: On one mathematical model of the Black Sea pollution by oil. In: Book “Informational and Communication Technologies—Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80\(^{th}\) Anniversary of I.V. Prangishvili”, Nova, USA, pp. 140–147 (2011)

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  28. Gordeziani, D., Džioev, T.: The generalization of Bitsadze-Samarski problem with reference to the problems of Baroclinic Sea’s dynamics (Russian). Outlines on physics and chemistry of the waters of the Black Sea. Moscow (1978)

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  30. Gordeziani, D.G., Evseev, E.G.: The Numerical Solution of a Model of an Arch Dam (Russian with Georgian and English summaries). Izdat. Tbilis. Univ, Tbilisi (1977)

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  33. Gordeziani, D.G., Gordeziani, E.D., Kachiashvili, K.J.: About some mathematical models of the transport of pollutants in the rivers. In: Ninth Inter-State Conference “Problems of Ecology and Operation of Objects of the Power”, pp. 77–79. Kiev, Ukraine (1999)

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  34. Gordeziani, D., Gordeziani, E.: Mathematical modeling and numerical solution of some problems of water and atmosphere pollution. Manuscript for NATO ARW, "Air, Water and Soil Quality Modeling for Risk. and Impact Assessment", 16–20 September, Tabakhmela, Georgia, pp. 195–210. Springer (2005)

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  35. Gordeziani, D., Jangveladze, T., Korshiya, T.: A class of nonlinear diffusion equation. ICM, Warshaw (1982), Sec. 11: part. diff. eq. IX, 17 (1983)

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  36. Gordeziani, D.G., Komurdzhishvili, O.: Numerical solution of some boundary value problems for a variant of the theory of thin shells (Russian. with Georgian and English summaries). Izdat. Tbilis. Univ., Tbilisi (1977)

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  37. Gordeziani, D.G., Samarskiĭ, A.A.: Some problems of the thermoelasticity of plates and shells, and the method of summary approximation (Russian). in Coll. Complex analysis and its applications “Nauka”, Moscow 173–186 (1978)

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  38. Gordeziani, D.G.: A class of nonlocal boundary value problems in elasticity. theory and shell theory. In Coll. Theory and numerical methods of calculating plates and shells (Russian). Tbilis. Gos. Univ., Tbilisi, II, 106–127 (1984)

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  39. Gordeziani, D.G.: A numerical solution to certain problems of thermoelasticity (Russian). Izdat. Tbilis. Univ, Tbilisi (1979)

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  40. Gordeziani, D.G.: An additive model for parabolic equations with mixed derivatives (Russian) Current problems in mathematical physics and numerical mathematics. Nauka Moscow, 128–137 (1982)

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  41. Gordeziani, D.G.: Methods for Solving a Class of Nonlocal Boundary Value Problems (Russian with Georgian and English summaries). Tbilis. Gos. Univ., Inst. Prikl. Mat., Tbilisi (1981)

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  42. Gordeziani, D.: On application of the Total Approximation Method to the Solution Of Some Shell Theory Problems. in Coll. Theory of Shells. Nirt-Holland Publ. Company, pp. 323–325 (1980)

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  43. Gordeziani, D.: On solution of in time nonlocal problems for some equations of mathematical physics. ICM-94, Abstracts. Short Communications (1994)

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  44. Gordeziani, D.: Sur une methode aux difference finies pour la resolution d’equantions aux derives partielles. Compt. Rand. Seminars d’Analyse Numerique Univ. Paris VI, 1–8 (1971–72)

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  45. Gordeziani, D.: Sur une methode economique de decompositions des operateures pour la solution numerique de problemes a dimensions multiples. Compt. Rand. Seminars d’Analyse Numerique Univ. Paris VI, 87–97 (1971–72)

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  46. Gordeziani, D.G.: Application of a locally one-dimensional method to the solution of multi-dimensional parabolic equations of the order 2m (Russian). Soobšč. Akad. Nauk Gruzin. SSR 39, 535–541 (1965)

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  47. Gordeziani, D.G.: On the numerical solution of a quasilinear equation of parabolic type (Russian). Soobšč. Akad Nauk Gruzin. SSR 37, 3–10 (1965)

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  48. Gordeziani, D.G.: On the use of rhombic grids for the solution of the equation of heat conduction (Russian) Soobšč. Akad. Nauk Gruzin. SSR 38, 15–22 (1965)

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  49. Gordeziani, D.G.: A certain class of factored difference schemes (Russian). Gamoqeneb. Math. Inst. Sem. Mohsen. Anotacie 1, 25–28 (1969)

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  50. Gordeziani, D.G.: A certain method of solving the Bitsadze-Samarskiĭ boundary value problem (Russian). Gamoqeneb. Math. Inst. Sem. Mohsen. Anotacie 2, 39–41 (1970)

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  51. Gordeziani, D.G.: The regularization of nonlinear difference schemes (Russian). Gamoqueneb. Math. Inst. Sem. Mohsen. Anotacie 2, 35–37 (1970)

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  52. Gordeziani, D.G.: A certain economical difference method for the solution of a multidimensional equation of hyperbolic type (Russian). Gamoqeneb. Math. Inst. Sem. Mohsen. Anotacie 4, 11–14 (1971)

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  53. Gordeziani, D.G.: A certain way of using the additivity principle for the solution of second order evolution equations (Russian) Gamoqeneb. Math. Inst. Sem. Mohsen. Anotacie 4, 23–26 (1971)

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  54. Gordeziani, D.G.: On the solvability of some boundary value problems for a variant of the theory of thin shells (Russian). Dokl. Akad. Nauk SSSR 215(6), 1289–1292 (1974)

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  55. Gordeziani, D.G.: To the exactness of one variant of the theory of thin shells (Russian). Dokl. Akad. Nauk SSSR 216(4), 751–754 (1974)

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  56. Gordeziani, D.G.: A class of nonlocal boundary value problems (Russian). Current problems in mathematical physics, Tbilis. Gos. Univ. I, 183–190 (1987)

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  57. Gordeziani, D.G.: Finite-difference schemes for solving nonlocal boundary value problems (Russian). Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 19, 20–25 (1987)

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  58. Gordeziani, D.G.: On nonlocal in time problems for Navier-Stokes equations. Rep. Enlarged Sess. Semin. I. Vekua. Appl. Math. 8(3), 13–17 (1993)

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  59. Gordeziani, D.: Gordeziani N.: On the investigation of one problem in the linear theory of the elastic mixtures. Dokl. Semin. Inst. Prikl. Mat. im. I.N. Vekua 22, 115–122 (1993)

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  60. Gordeziani, D.: On rigid motions in Vekua theory of prismatic shells. Semin. I. Vekua Inst. Appl. Math. Rep. 24, 3–9 (1998)

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  61. Gordeziani, D.: On rigid motions in Vekua theory of prismatic shells. Bull. Georgian Acad. Sci. 161(3), 413–416 (2000)

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  62. Gordeziani, D.: Davitashvili Tinatin, Davitashvili Teimuraz, Sharikadze M.: Mathematical modeling of filtration problem for the multilayer liquid-permeable horizons. Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 30, 19–22 (2016)

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  63. Gordeziani, D., Avalishili, M., Avalishili, G.: Dynamical two-dimensional models of solid-fluid interaction. Differential equations and their applications. J. Math. Sci. (N.Y.) 157(1), 16–42 (2009)

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  64. Gordeziani, D., Avalishvili, G.: Investigation of the nonlocal boundary value problems for the string oscillation and telegraph equations. Appl. Math. and Informatics (AMI) 2, 65–79 (1997)

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  65. Gordeziani, D., Avalishvili, G.: Nonlocal problems for a vibrating string. Bull. of Tbilisi Int. Centre Math. Inf. (TICMI) 2, 22–24 (1998)

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  66. Gordeziani, D., Avalishvili, G.: Nonclassical problems for the second order hyperbolic equations. Bull. TICMI 3(3), 53–57 (1999)

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  67. Gordeziani, D., Avalishvili, G.: On the investigation of nonlocal problems in time for hyperbolic equations. Bull. Georgian Acad. Sci. 162(2), 229–232 (2000)

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  68. Gordeziani, D.G., Avalishvili, G.A.: Solution of nonlocal problems for one-dimensional oscillations of a medium (Russian). Mat. Model. 12(1), 94–103 (2000)

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  69. Gordeziani, D., Avalishvili, G.: Investigation of the nonlocal initial boundary value problems for some hyperbolic equations. Hirosh. Math. J. 31(3), 345–366 (2001)

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  70. Gordeziani, D., Avalishvili, G.: On the investigation of the boundary value problem for nonlinear model in the theory of elastic mixtures. Bull. Georgian Acad. Sci. 164(3), 451–453 (2001)

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  71. Gordeziani, D., Avalishvili, M.: Investigation of a dynamical two-dimensional model of prismatic shells. Bull. Georgian Acad. Sci. 166(1), 16–19 (2002)

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  72. Gordeziani, D., Avalishvili, G.: Investigation of nonlinear models in the theory of elastic mixtures. Appl. Math. Inform. 7(2), 41–65 (2002)

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  73. Gordeziani, D., Avalishvili, G.: On a static two-dimensional model of multilayer elastic prismatic shells. Bull. Georgian Acad. Sci. 168(3), 455–457 (2003)

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  74. Gordeziani, D., Avalishvili, G.: On the investigation of dynamical hierarchical model of multilayer elastic prismatic shells. Bull. Georgian Acad. Sci. 168(1), 11–13 (2003)

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  75. Gordeziani, D., Avalishvili, G.: On static two-dimensional model of multilayer elastic prismatic shell. Bull. Georgian Acad. Sci. 168(3), 455–457 (2003)

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  76. Gordeziani, D., Avalishvili, G.: On the investigation of static hierarchic models for elastic rods. Appl. Math. Inform. Mech. 8(1), 34–46 (2003)

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  77. Gordeziani, D., Avalishvili, G.: On a dynamical hierarchical model for prismatic shells in the theory of elastic mixtures. Math. Meth. Appl. Sci. 28, 737–756 (2005)

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  78. Gordeziani, D.G., Avalishvili, G.A.: Time-nonlocal problems for Schrödinger type equations: I. Prol. Abstr. Spaces Diff. Equ. 41(5), 703–711 (2005)

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  79. Gordeziani, D.G., Avalishvili, G.A.: Time-nonlocal problems for Schrödinger type equations: II. Results Specif. Prbl. Diff. Equ. 41(6), 852–859 (2005)

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  80. Gordeziani, D., Avalishvili, M., Avalishvili, G.: On the Investigation of one nonclassical problem for Navier-Stokes equations. AMI 7(2), 66–77 (2002)

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  81. Gordeziani, D., Avalishvili, M., Avalishvili, G.: On one method of construction of mathematical models of multistructures. Bull. Georgian Acad. Sci. 166(3), 466–469 (2002)

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  82. Gordeziani, D., Avalishvili, M., Avalishvili, G.: On the investigation of one nonclassical problem for Navier-Stokes equations. Appl. Math. Inform. 7(2), 66–77 (2002)

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  83. Gordeziani, D., Avalishvili, D., Avalishvili, M.: On the investigation of a dimensional reduction method for elliptic problems. Rep. Enlarged Sess. Semin. I. Vekua. Appl. Math. 29, 15–25 (2003)

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  84. Gordeziani, D., Avalishvili, G., Avalishvili, M.: Dynamical hierarchical models for elastic shells. AMIM 10(1), 19–38 (2005)

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  85. Gordeziani, D., Avalishvili, G., Avalishvili, M.: On nonclassical multi-time evolution equation in abstract spaces. Bull. Georgian Acad. Sci. 172(3), 384–387 (2005)

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  86. Gordeziani, D., Avalishvili, G., Avalishvili, M.: Hierarchical models of elastic shells in curvilinear coordinates. Int. J. Comput. Math. Appl. 51, 1789–1808 (2006)

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  87. Gordeziani, D., Avalishvili, G., Avalishvili, M.: On the investigation of the generalized Schrödinger type equation in abstract spaces. Bull. Georgian Natl. Acad. Sci. 173(2), 258–261 (2006)

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  88. Gordeziani, D., Avalishvili, M., Avalishvili, G.: On one-dimensional hierarchical models for elliptic problems. Georgian Int. J. Sci. Technol. Med. 1(2), 83–94 (2008)

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  89. Gordeziani, D., Avalishvili, M., Avalishvili, G.: Dynamical two-dimensional models of solid-fluid interaction. J. Math. Sci. 157(1), 16–42 (2009)

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  90. Gordeziani, D., Davitashvili, T.: Mathematical model with nonlocal boundary condition for the atmosphere pollution. Appl. Math. Inf. 4, 30–53 (1999)

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  91. Gordeziani, D., Davitashvili, T.: Mathematical model of the atmosphere pollution with non-classic boundary conditions. Appl. Math. Inform. 4(1), 75–92 (1999)

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  92. Gordeziani, D.G., Dzhangveladze, T.A., Korshiya, T.K.: A class of nonlinear parabolic equations, that arise in problems of the diffusion of an electromagnetic field (Russian, Georgian and English summaries). Proc. I.Vekua Inst. Appl. Math. (Tbiliss. Gos. Univ. Inst. Prikl. Math. Trudy) 13, 7–35 (1983)

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  93. Gordeziani, D.G., Evseev, E.G.: A difference method of solving higher order multidimensional differential equations (Russian). Sakharth SSR, Mecn. Akad. Moambe 54, 281–284 (1969)

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  94. Gordeziani, D.G., Evseev, E.G.: The factorization of difference schemes (Russian). Sakharth SSR, Mecn. Akad. Moambe 53, 273–276 (1969)

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  95. Gordeziani, D.G., Evseev, E.G.: A certain difference approximation of a fourth order equation (Russian) Studies of certain equations of mathematical physics (Russian). Izdat. Tbilis 1, 37–40 (1972)

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  96. Gordeziani, D.G., Evseev, E.G.: The approximate solution of the equations of a certain variant of the theory of cylindrical shells with mixed boundary conditions (Russian). Sakharth. SSR, Mecn. Akad. Moambe 78(2), 297–300 (1975)

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  97. Gordeziani, D.G., Evseev, E.G.: An economical difference method for the solution of systems of hyperbolic equations (Russian). Sakharth SSR, Mecn. Akad. Moambe 86(3), 557–560 (1977)

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  98. Gordeziani, D.G., Evseev, E.G.: Additive averaged schemes for the numerical solution of hyperbolic equations (Russian). Soobshch. Akad. Nauk Gruzin. SSR 104(2), 277–280 (1981)

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  99. Gordeziani, D., Gordeziani, N.: On application of decomposition method to solution of initial-boundary value problems for nonlinear parabolic equations with mixed derivatives. Rep. Enlarged Sess. Semin. I. Vekua. Appl. Math. 22, 20–27 (1993)

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  100. Gordeziani, D., Gordeziani, N.: On investigation of one problem in linear theory of the elastic mixtures. Rep. Enlarged Sess. Semin. I. Vekua. Appl. Math. 22, 108–115 (1993)

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  101. Gordeziani, D., Gordeziani, N.: On the solution of dynamical problems in the linear theory of elastic mixtures. Appl. Math. Inform. 1(1), 70–77 (1996)

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  102. Gordeziani, D., Gordeziani, E.: On investigation of difference schemes for some pluriparabolic equations. Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 14(3), 53–57 (1999)

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  103. Gordeziani, D., Gordeziani, E.: Difference schemes for pluriparabolic equations. Bull TICMI 4, 41–46 (2000)

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  104. Gordeziani, D., Gordeziani, N., Avalishvili, G.: On one class of nonlocal problems for partial differential equations. Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 10(3), 20–22 (1995)

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  105. Gordeziani, D., Gordeziani, N., Avalishvili, G.: Nonlocal boundary value problems for some partial differential equations. Bull. Georgian Acad. Sci. 157(3), 365–368 (1998)

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  106. Gordeziani, D., Gordeziani, E., Gordeziani, N.: On finite-difference methods developed for solution of one Pluri-Schrödinger equation. Bull. Georgian Natl. Acad. Sci. January-February 173(1), 14–17 (2006)

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  107. Gordeziani, D., Gordeziani, E., Gordeziani, N.: On finite-difference methods developed for solutions of one pluri-Schrödinger equation. Bull. Georgian Natl. Acad. Sci. 173(1), 14–16 (2006)

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  108. Gordeziani, D., Gordeziani, E., Gordeziani, N.: On solution of some initial-boundary value problems for pluri-Schrödinger equation. Bull. Georgian Natl. Acad. Sci. 173(3), 432–434 (2006)

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  1. I.Vekua Institute of Applied Mathematics of I.Javakhishvili Tbilisi State University, 2 University street, 0186, Tbilisi, Georgia

    George Jaiani & Temur Jangveladze

  2. Georgian Technical University, Tbilisi, Georgia

    Temur Jangveladze

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  1. George Jaiani
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    George Jaiani

  2. Georgian Technical University, Tbilisi, Georgia

    David Natroshvili

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Jaiani, G., Jangveladze, T. (2019). Life and Activities of David Gordeziani. In: Jaiani, G., Natroshvili, D. (eds) Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering. AMINSE 2017. Springer Proceedings in Mathematics & Statistics, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-030-10419-1_1

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