Summary

Projects

• Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
• Some classes of PDE and systems with applications to mechanics and biology (SRNSF-CNR 09/04/30), 2012-2014.
• Some nonclassical problems for thin structures (06-1000017-8886), 2007-2009.
• Construction and Investigation of Hierarchical Mathematical Models for Medium Consisting of Deformable Solid and Fluid Parts (GNSF/ST06/3-035), 2006-2008.

Talks

• On one Mathematical Model of Water Basin Pollution by Harmful Substances, by David Gordeziani (Speaker), Teimurazi Davitashvili, Tinatin Davitashvili at The First SDSU-Georgia STEM WORKSHOP on Nanotechnology and Environment Sciences, Tbilisi, Georgia, 04 September, 2016.
• Mathematical modeling of filtration problem for the multilayer liquid-permeable horizons, by Teimurazi Davitashvili (Speaker), David Gordeziani, Tinatin Davitashvili, Meri Sharikadze at XXX International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 20-22 April, 2016.
• On a hierarchical model reduction algorithm for elastic multi-structures, by Gia Avalishvili (Speaker), Mariam Avalishvili, David Gordeziani at 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCM V) , 6th European Conference on Computational Fluid Dynamics (ECFD VI), Barcelona, Spain, 20-25 July, 2014.
• Assessment of risk factors of emergency cases at Georgian section of transport corridor Europe-Caucasus-Asia by means of mathematical modeling, by Teimurazi Davitashvili (Speaker), David Gordeziani, Giorgi Geladze, Archil Papukashvili, Meri Sharikadze at Second International Conf. Modern Problems In Applied Mathematics Dedicated to the 95th Anniversary of the I. Javakhishvili TSU & 45th Anniversary of the I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 04-07 September, 2013.
• On Some Methods of Approximate Solution of Antiplane Problems of Elasticity Theory for Composite Bodies Weakned by Cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at International Conference Modern Problems In Applied Mathematics Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University& 45th Anniversary of the I.Vekua Institute of Applie, Tbilisi, Georgia, 04-07 September, 2013.
• On finite difference method for approximate solution of antiplane problems of elasticity theory for composite bodies weakened by cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at XXVII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University , Tbilisi, Georgia, 22-24 April, 2013.
• On One Method of Approximate Solution of Antiplane Problems of Elasticity Theory for Composite Bodies Weakned by Cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at XXVII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili TSU, Tbilisi, Georgia, 22-24 April, 2013.
• Mathematical Modelling of Leak Location in Compound Gas Pipeline Network, by Teimurazi Davitashvili (Speaker), David Gordeziani, Archil Papukashvili, Meri Sharikadze at III International conference of the Georgian mathematical union, Batumi, Georgia, 02-09 September, 2012.
• On One Finite-difference Method for investigation of stressed state of Composite Bodies Weakned by Cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at III International conference of the Georgian mathematical union, Batumi, Georgia, 02-09 September, 2012.
• About approximate solving methods of antiplane problems of elasticity theory for composite bodies weakned by cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze at XXVI International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili TSU, Tbilisi, Georgia, 23-25 April, 2012.
• On the Realization of One Nonlinear Mathematical Model by the P/C, by David Gordeziani (Speaker), Teimurazi Davitashvili, Archil Papukashvili, Ekaterine Gordeziani at II Annual Meeting of the Georgian Mechanical Union, Dedicated to 105th Birthday Anniversary of Ilia Vekua, Tbilisi, Georgia, 15-17 December, 2011.
• Mathematical modelling of liquid phase origination in the main gas pipelines, by Teimurazi Davitashvili (Speaker), David Gordeziani, Archil Papukashvili, Givi Gubelidze at II Annual Meeting of the Georgian Mechanical Union,Dedicated to 105th Birthday Anniversary of Ilia Vekua, Tbilisi, Georgia, 15-17 December, 2011.
• About methods of approximate solutions for composite bodies weakened by cracks in the case of antiplane problems of elasticity theory, by Teimurazi Davitashvili (Speaker), David Gordeziani, Archil Papukashvili, Tinatin Davitashvili, Meri Sharikadze at II Annual Meeting of the Georgian Mechanical Union. Dedicated to 105th Birthday Anniversary of Ilia Vekua, Tbilisi, Georgia, 15-17 December, 2011.
• On One Non-linear Mathematical modell and Results of Numerical Calculations, by David Gordeziani (Speaker), Archil Papukashvili, Teimurazi Davitashvili, Ekaterine Gordeziani at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, Tbilisi, Georgia, 14-15 December, 2011.
• On Numerical Solution of Liquid Infiltration in Porous Soils, by David Gordeziani (Speaker), Teimurazi Davitashvili, Archil Papukashvili at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, Tbilisi, Georgia, 14-15 December, 2011.
• One Approximate Method of Elasticity Theory for Solution Some Problems of Oil and Gas Terminals Contained Cracks, by Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze, Gela Manelidze at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, Tbilisi, Georgia, 14-15 December, 2011.
• On modeling of liquid-phase formation in gas pipelines for non-stationary flows, by Teimurazi Davitashvili (Speaker), David Gordeziani, Givi Gubelidze, Archil Papukashvili, Tinatin Davitashvili, Meri Sharikadze at International Conference Continuum Mechanics and Related Problems of Analysis to Celebrate the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First Presiden, Tbilisi, Georgia, 09-14 September, 2011.
• Mathematical Modelling of Oil Penetration Into Soils , by Teimurazi Davitashvili (Speaker), David Gordeziani at TICMI Advanced Courses on Boundary Value Problems for Partial Differential Equations, Tbilisi, Georgia, 23-24 June, 2010.
• Investigation of the Circumstance of the Light-signals at the Streets’ Crossing Point Influence Upon the Harmful Substances’ Concentrations Distribution by Numerical Modeling, by Teimurazi Davitashvili (Speaker), David Gordeziani, Giorgi Geladze, Meri Sharikadze at International Conference on "Modern Problems in Applied Mathematics "dedicated to the 90-th anniversary of Iv. Javakhishvili Tbilisi State University and 40-th anniversary of I. Vekua Institute of App, Tbilisi, Georgia, 07-09 October, 2008.
• On One Model of City Pollution by Exhaust Gases of Motor Transport, by Teimurazi Davitashvili (Speaker), David Gordeziani, Giorgi Geladze, Meri Sharikadze at XXII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2008.
• Software realization problems of mathematical models of pollutants transport in rivers, by Kartlos Joseph Kachiashvili (Speaker), David Gordeziani, David Melikdzhanian at ISAAC CONFERENCE on Complex Analysis, Partial Differential Equations, and Mechanics of Continua, Dedicated to Centenary of Ilia Vekua, Tbilisi, Georgia, 23-27 April, 2007.

Publications

• Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, V. Stepanishvili, V. Khuchua, Software packages for automation of environmental monitoring and experimental data processing, Book, Geoecology and Computers, Chapter 43, 273-278, Taylor & Francis, 2018.
• David Gordeziani, Teimurazi Davitashvili, Tinatin Davitashvili, Meri Sharikadze, Mathematical Modeling of Filtration Problem for the Multilayer Liquid-Permeable Horizons, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics,30,19-22, Tbilisi University Press, 2016.
• David Gordeziani, Iulia Meladze, Nonlocal Contact Problem for Two Dimensional Linier Elliptic Equations , Bulletin of the Georgian National Academy of Sciences vol.8, no 1, 2014, 40-46, Georgian National Academy of Sciences, 2014.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, On the Investigation of Dynamical Hierarchical Models of Elastic Multi-Structures Consisting of Three-Dimensional Body and Multilayer Sub-Structure, Bulletin of the Georgian National Academy of Sciences, 8, no. 3, 20-31, Georgian National Academy of Sciences, 2014.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, Investigation of Static Two Dimensional Models for Thermoelastic Prismatic Shells with Microtemperatures, Bulletin of the Georgian National Academy of Sciences vol.7, no 3, 2013, 20-30, Georgian National Academy of Sciences, 2013.
• Archil Papukashvili, David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze, On finite-difference method for approximate solution of antiplane problems of elasticity theory for composite bodies weakened by cracks, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 27, 42-45, Tbilisi University Press, 2013.
• David Gordeziani, Ekaterine Gordeziani, In Time Non-Local Problems for Pluri-Parabolic Equations, Mechanics of the Continuous Environment Issues Dedicated to the 120th BIrth Anniversary of Academician Nikoloz Muskhelishvili, Nova Science Publishers, 2012, pp. 1-21., Nova Science Publishers, 2012.
• David Gordeziani, Teimurazi Davitashvili, Tinatin Davitashvili, On one mathematical model describing oil propagation in the seas, Information and Computer Technologies - Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th Anniversary of I.V. Prangishvili, 2012, pp. 483–491, Nova Science Publisher, 2012.
• Teimurazi Davitashvili, David Gordeziani, Archil Papukashvili, Inga Samkharadze, Numerical modeling of oil infiltration into the soil for risk assessment, Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th Anniversary of I.V. Prangishvili, 2012, pp. 473–482, Nova Science Publisher, 2012.
• Archil Papukashvili, David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze, On One Method Of Approximate Solution Of Antiplane Problems Of Elasticity Theory For Composite Bodies Weakned By Cracks, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 26, 50-53, Tbilisi University Press, 2012.
• David Gordeziani, Hamlet Meladze, On some parallel algorithms for approximate solution of problems of mathematical physics, Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th Anniversary of I.V. Prangishvili, 2012, pp. 451–471 , Nova Science Publishers, 2012.
• David Gordeziani, Mariam Avalishvili, Gia Avalishvili, On one-dimensional hierarchical models for elliptic problems, Georgian Science and Technology Developments, 2012, pp. 341–353 , Nova Science Publishers, 2012.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, On integral nonlocal boundary value problems for some partial differential equations, Bull. Georgian Nat. Acad. Sci. (N.S) 5, N 1 , 31-37, 2011, Georgian National Academy of Sciences, 2011.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, On a nonlocal problems with integral boundary conditions for a multidimensional elliptic equations, Applied Mathematics Letters, 24. 2011, pp. 566-571., Elsevier, 2011.
• David Gordeziani, Teimurazi Davitashvili, Tinatin Davitashvili, On one mathematical model of the Black Sea pollution by oil., Informational and Communication Technologies – Theory and Practice: Proceedings of the International Scientific Conference ICTMC-2010 Devoted to the 80th Anniversary of I.V.Prangishvili” InprintNova, USA, 2011, pp 140-147, Nova Science Publisher, 2011.
• David Gordeziani, Teimurazi Davitashvili, Inga Samkharadze, Numerical Modeling of Oil Infiltration into The Soil for Risk Assessment, Proceedings of the International Scientific Conference ICTMC2010 Devoted to the 80th Anniversary of I.V.Prangishvili” Inprint Nova, USA, 2011, pp 154-161, Nova Science Publisher, 2011.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, On one-dimensional hierarchical models for elliptic problems, Georgian Science and Technology Developments, 2012 pp. 341–353, Nova Science Publishers, 2011.
• Archil Papukashvili, David Gordeziani, Teimurazi Davitashvili, Meri Sharikadze, Gela Manelidze, Giorgi Kurdghelashvili, About methods of approximate solutions for composite bodies weakened by cracks the case of antiplane problems of elasticity theory, Journal Applied Mathematics, Informatics and Mechanics, 16, N 1, 49-55, Tbilisi University Press, 2011.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, On integral nonlocal boundary value problems for some partial differential equations, Bulletin of the Georgian National Academy of Sciences, 5 ,no. 1, 31-37, Georgian National Academy of Sciences, 2011.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation, Applied Mathematics Letters, vol.24, no.4, 566-571, Elsevier, 2011.
• Archil Papukashvili, David Gordeziani, Teimurazi Davitashvili, Some questions of approximate solutions for composite bodies weakened by cracks in the case of antiplane problems of elasticity theory, Applied Mathematics, Informatics and Mechanics, 15, no. 2, 33-43, Tbilisi University Press, 2010.
• David Gordeziani, Tinatin Davitashvili, Hamlet Meladze, Ekaterine Gordeziani, About the solution of some nonlocal boundary and initial-boundary value problems, GESJ: Computer Science and Telecommunications 2010, |No.3 (26), 160-169 , Internet Academy, 2010.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, On some nonclassical two-dimensional models for thermoelastic plates with variable thickness, Bulletin of the Georgian National Academy of Sciences vol.4, no 2, 27-34, Georgian National Academy of Sciences, 2010.
• David Gordeziani, Givi Berikelashvili, On a nonlocal generalization of the biharmonic Dirichlet problem, Differential Equations, vol46, 321-328, Springer, 2010.
• David Gordeziani, Plenary lecture 3: on mathematical models and numerical algorithms for solution of some problems of water pollution, Proceedings of the 15th WSEAS international conference on Applied Mathematics, pages14-15 , , 2010.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, Hierarchical modeling of thermoelastic plates with variable thickness, Analysis and Applications, vol.8,no. 2,125-159, World Scientific , 2010.
• Sergo Kharibegashvili, Givi Berikelashvili, David Gordeziani, Finite difference scheme for one mixed problem with integral condition, Proceedings of the 2nd WSEAS Int. Conf. on Finite Differences, Finite Elements, Finite Volumes, Boundary Elements (F-and-B'09), 118-120, 2009, World Scientific and Engineering Academy and Society (WSEAS)Stevens PointWisconsinUnited States, 2009.
• David Gordeziani, Hamlet Meladze, Tinatin Davitashvili, The boundary value problem for poisson equation on some two dimensional structures in three dimensional space, Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements. Pages 139–145, World Scientific and Engineering Academy and Society (WSEAS)Stevens PointWisconsinUnited States, 2009.
• David Gordeziani, Hamlet Meladze, Tinatin Davitashvili, On one generalization of boundary value problem for ordinary differential equations on graphs in the three-dimensional space, WSEAS TRANSACTIONS on MATHEMATICS, vol.8, 8, 457-466, World Scientific and Engineering Academy and Society, 2009.
• David Gordeziani, Mariam Avalishvili, Gia Avalishvili, Dynamical two-dimensional models of solid-fluid interaction, Journal of Mathematical Sciences, vol, 157, 16-42, Springer, 2009.
• Teimurazi Davitashvili, David Gordeziani, Giorgi Geladze, Meri Sharikadze, Investigation of the Circumstance of the Light-signals at the Streets’ Crossing Point Influence Upon the Harmful Substances’ Concentrations Distribution by Numerical Modeling, Journal Applied Mathematics, Informatics and Mechanics, 13, N 2, 62-66, Tbilisi University Press, 2008.
• David Gordeziani, Hamlet Meladze, M. Kupreishvili, On the solution of boundary value problem for differential equations given in graphs, Applied Mathematics, Informatics and Mechanics,13, no. 2, 80-91, Tbilisi University Press, 2008.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, Construction and investigation of hierarchical models for thermoelastic prismatic shells, Bulletin of the Georgian National Academy of Sciences, 2, no. 3, 35-42, Georgian National Academy of Sciences, 2008.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, On dynamical three-dimensional fluid-solid interaction problem, , , 2008.
• Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, Mathematical models, methods and algorithms of control and regulation of water quality in rivers, Georgian Technical University/2007/251 p., Georgian Technical University, 2007.
• David Gordeziani, Kartlos Joseph Kachiashvili, David Melikdzhanian, R. Lazarov , Modeling and simulation of pollutants transport in rivers, Applied Mathematical Modelling, vol, 31, no. 7, 1371-1396, Elsevier, 2007.
• David Gordeziani, Ekaterine Gordeziani, Mathematical Modelling and Numerical Solution of Some Problems of Water and Atmosphere Pollution, Water and Soil Quality Modelling for Risk and Impact Assessment, 195-210, Springer, 2007.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, Hierarchical models of elastic shells in curvilinear coordinates, Computers & Mathematics with Aplications, vol. 51, 12, 1789-1808, Elsevier, 2006.
• Tamaz Vashakmadze, David Gordeziani, New Technologies of Design of Some Boundary Value Problems For Ordinary Differential Equations, Georgian Electronic Scientific Journal: Computer Science and Telecommunications 2005 | No.2(6), Georgian Electronic Scientific Journal, 2005.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, On nonclassical multi-time evolution equation in abstract spaces, Bulletin of the Georgian National Academy of Sciences vol.172, no 3, Georgian National Academy of Sciences, 2005.
• Gia Avalishvili, Mariam Avalishvili, David Gordeziani, Initial boundary value problem for one generalization of Schrödinger equation, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 20, no1-3, 5-7, Tbilisi University Press, 2005.
• David Gordeziani, Mariam Avalishvili, Gia Avalishvili, Dynamical hierarchical models for elastic shells, Applied Mathematics, Informatics and Mechanics , vol. 10, no 1,19-38, Tbilisi University Press, 2005.
• David Gordeziani, Gia Avalishvili, On a dynamical hierarchical model for prismatic shells in the theory of elastic mixtures, Mathematical methods in the Applied Sciences, Wiley Online Library, 2005.
• David Gordeziani, Gia Avalishvili, Time-nonlocal problems for Schrödinger type equations: II. Results for specific problems, Differential Equations, Vol. 41, No. 6, 2005, pp. 852–859, Springer, 2005.
• David Gordeziani, Gia Avalishvili, On approximation of a dynamical problem for elastic mixtures by two-dimensional problems, Bulletin of the Georgian National Academy of Sciences, 170,1, 2004, Georgian National Academy of Sciences, 2004.
• David Gordeziani, Gia Avalishvili, On the investigation of dynamical hierarchical model of multilayer elastic prismatic shell, Bulletin of the Georgian National Academy of Sciences, vol.168, no 1, Georgian National Academy of Sciences, 2003.
• David Gordeziani, Gia Avalishvili, On a static two-dimensional model of multilayer elastic prismatic shells, Bulletin of the Georgian National Academy of Sciences vol. 168, no 3, Georgian National Academy of Sciences, 2003.
• David Gordeziani, Gia Avalishvili, On the investigation of static hierarchic model for elastic rods, Applied Mathematics, Informatics and Mechanics, 8, no. 1, 33-45, Tbilisi University Press, 2003.
• David Gordeziani, Gia Avalishvili, Mariam Avalishvili, On the investigation of a dimensional reduction method for elliptic problems, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Vol. 29, 15-25, Tbilisi University Press, 2003.
• David Gordeziani, Hamlet Meladze, Tinatin Davitashvili, On one class of nonlocal in time problems for first-order evolution equations, Zhurnal Obchyslyuval’noı ta Prykladnoı Matematyky, 88,1, 66-78, , 2003.
• Mariam Avalishvili, David Gordeziani, Investigation of Two-Dimensional Models of Elastic Prismatic Shell, Georgian Mathematical Journal, 10 (1),17-36, De Gruyter, 2003.
• David Gordeziani, Mariam Avalishvili, Gia Avalishvili, On the investigation of one nonclassical problem for Navier-Stokes equations, Applied Mathematics, Informatics and Mechanics, 7, no. 2, 66-77, Tbilisi University Press, 2002.
• David Gordeziani, Gia Avalishvili, On one method of construction of mathematical models of multistructures, Bulletin of the Georgian National Academy of Sciences, vol.166, no, 3, 466-469, Georgian National Academy of Sciences, 2002.
• David Gordeziani, Mariam Avalishvili, Investigation of hierarchic model of prismatic shell, Bulletin of the Georgian National Academy of Sciences vol. 165, no 3, Georgian National Academy of Sciences, 2002.
• Mariam Avalishvili, David Gordeziani, Investigation of dynamical two-dimensional model of prismatic shell, Bulletin of the Georgian National Academy of Sciences, 166 ,no. 1, Georgian National Academy of Sciences, 2002.
• David Gordeziani, Gia Avalishvili, Investigation of nonlinear models in the theory of elastic mixtures, Applied Mathematics, Informatics and Mechanics, 7, no. 2, 41-65, Tbilisi University Press, 2002.
• Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, V. Stepanishvili, Packages of the applied programs for the solution of problems of ecology and processing of the experimental data, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 17, no 3, 97-100, Tbilisi University Press, 2002.
• David Gordeziani, Gia Avalishvili, On the investigation of the boundary value problem for nonlinear model in the theory of elastic mixtures, Bulletin of the Georgian National Academy of Sciences, vol. 164, 3, Georgian National Academy of Sciences, 2001.
• Kartlos Joseph Kachiashvili, David Gordeziani, David Melikdzhanian, Mathematical models of Pollutants Transport with Allowance for Many Affecting Pollution Sources, Urban Drainage Modeling, American Society of Civil Engineers, 2001.
• David Gordeziani, Gia Avalishvili, Investigation of the nonlocal initial boundary value problems for some hyperbolic equations, Hiroshima Mathematical Journal, 31 (3), 345-366, Hiroshima University, Mathematics Program, 2001.
• Ekaterine Gordeziani, David Gordeziani, Difference schemes for pluriparabolic equations., Bulletin of TICMI, vol.4, 2000, Tbilisi University Press, 2000.
• David Gordeziani, On rigid motions in Vekua theory of prismatic shells, Bulletin of the Georgian National Academy of Sciences, vol. 161,3, Georgian National Academy of Sciences, 2000.
• David Gordeziani, Teimurazi Davitashvili, Zurab Khvedelidze, One Mathematical Model of the Georgian Transport Corridor Pollution, Bulletin of the Georgian National Academy of Sciences v. 162, No1, 73-76, Georgian National Academy of Sciences, 2000.
• David Gordeziani, A. Shapatava , On regularized difference schema for one quasilinear parabolic equation, Applied Mathematics, Informatics and Mechanics ,5, no. 2, 70-77, Tbilisi University Press, 2000.
• Gia Avalishvili, David Gordeziani, On one class of spatial nonlocal problems for some hyperbolic equations, Georgian Mathematical Journal, De Gruyter, 2000.
• David Gordeziani, Gia Avalishvili, On the constructing of solutions of the nonlocal initial boundary value problems for one-dimensional medium oscillation equations, Matematicheskoe modelirovanie, vol12, no, 1, 94-103, Keldysh Institute for Applied Mathematics of the RAS, 2000.
• David Gordeziani, Gia Avalishvili, Solution of nonlocal problems for one-dimensional oscillations of a medium, Mat. Model, 12 (1). 94-103. 2000, Science and Aducation, 2000.
• David Gordeziani, Teimurazi Davitashvili, Mathematical Model with Nonlocal Boundary Conditions for the Atmosphere Pollution, Bulletin of the Georgia Academy of Sciences 161, No 3, 435-437, Georgian National Academy , 2000.