Summary

Prof.T.Vashakmadze is a high level researcher in pure and applied mathematics but as my topic is solid mechanics. I’m considering his works in corresponding direction. These works not only present extensions of some corresponding achievements of the Georgian school of mathematicians created by N. Muskhelishvili and I. Vekua but they also present new perspective developments in the continuum mechanics.One of the most valuable mathematical contributions is related to the numerical solution of initial value problems for ODEs. His approach is based on the application of Gauss and Clenshaw-Curtis type quadratures and Hermite interpolation process. He has proved that the Adam’s type multistep finite-difference schemes converge as O(h2n) for any finite integer n and are absolutely stable if the matrices of nodes are normal in Fejer’s sense [Vashakmadze,2010].
Another outstanding result is related to construction of the stable projective methods using the linear form of classical orthogonal polynomials as coordinate systems and their numerical realizations for a design of 2D BVPs (in bounded and unbounded domains). These efficient and optimal (in some sense) methods increase the possibilities of classical finite-difference, exponential-fitted, variational-discrete and continuous analogue of alternating-direction methods.

Projects

• Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
• Construction and Investigation of Hierarchical Mathematical Models for Medium Consisting of Deformable Solid and Fluid Parts (GNSF/ST06/3-035), 2006-2008.

Talks

• On the construction of exact and approximate solutions of a number of problems corresponding to the system of equations with some constant coefficients in mathematical physics, by Tamaz Vashakmadze (Speaker) at Workshop on Mathematical Problems of Mechanics of Continuous Environments and Related Issues of Analysis, 2023, Tbilisi, Georgia.
• The Problems of Numerical Realization for Some Class of the Operator Equations by Perturbation’s Theories Alternating Method, by Tamaz Vashakmadze (Speaker) at Seminar of Institute of Applied Mathematics named after TSU Ilia Vekua, 2023, Tbilisi, Georgia.
• Approximate solution of boundary value problems for universal differential equations, by Tamaz Vashakmadze (Speaker), Giorgi Buzhgulashvili at Fourth international conference "Modern problems of applied mathematics", 2023, Tbilisi, Georgia.
• The Development of Complex Analysis Method for Essentially Non- Linear Systems of DE and About its Numerical Analogies Tamaz Vashakmadze Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishv, by Tamaz Vashakmadze (Speaker) at XIII International Conference of the Union of Mathematicians of Georgia., 2023, Batumi, Georgia.
• On the reduction of three-dimensional models of elastic thin-walled structures., by Tamaz Vashakmadze (Speaker) at XIV Annual International Conference of the Union of Mechanics of Georgia, 2023, Foti, Georgia.
• To von Kármán Model and Elastic Thin-walled Structures, on the Construction of a Unified Theory, by Tamaz Vashakmadze (Speaker) at XIV Annual International Conference of the Union of Mechanics of Georgia., 2023, Foti, Georgia.
• On the approximate solution of the boundary value problem for the ordinary differential equation, by Tamaz Vashakmadze (Speaker), Giorgi Buzhgulashvili at XXXVII international extended sessions of the seminar of the Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University., 2023, Tbilisi, Georgia.
• On the extension of complex analysis in nonlinear mechanics, by Tamaz Vashakmadze (Speaker), Tengiz Meunargia, Bakur Gulua at XII Annual International Meeting of the Georgian Mechanical Union, 2021, Kutaisi, Georgia.
• On Problems of Ilia Vekua, by Tamaz Vashakmadze (Speaker) at XI Annual International Meeting of the Georgian Mechanical Union, 2020, Batumi, Georgia.
• On problems of Ilia Vekua, by Tamaz Vashakmadze (Speaker) at XI Annual International Meeting of the Georgian Mechanical Union, 2020, Batumi, Georgia.
• On Physical Soundness of Von K´arm´an Type Systems and Cauchy Problems for Evolutionary Equations, by Tamaz Vashakmadze (Speaker) at THE THIRD INTERNATIONAL CONFERENCE „MODERN PROBLEMS IN APPLIED MATHEMATICS“ Dedicated to the Centenary of I. Javakhishvili Tbilisi State University and 50th Anniversary of I.Vekua Institute of Applie, 2019, Tbilisi, Georgia.
• On the numerical realization of boundary value problems for the pipe, by Tamaz Vashakmadze (Speaker) at X Annual International Meeting of the Georgian Mechanical Union, 2019, Telavi, Georgia.
• To approximate solution of evolutionary equations by high order method of accuracy, by Tamaz Vashakmadze (Speaker) at IX Annual International Meeting of the Georgian Mechanical Union, 2018, Kutaisi, Georgia.
• TO DESIGN AND ANALYSIS OF SOME THIN-WALLED SRUCTURES, by Tamaz Vashakmadze (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU) Dedicated to the 110th Birthday Anniversa, 2017, Tbilisi, Georgia.
• On design and analysis of some thin shell structures, by Tamaz Vashakmadze (Speaker) at The XXX Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2016, Tbilisi, Georgia.
• Numerical Realization of Korteweg-de Vries and Kadomtsev-Petviashvili Type Equations by High-Order Accuracy Schemes, by Tamaz Vashakmadze (Speaker) at WSEASInter.Con.on Finite Differences, Finite Elaments, Finite Volumes, Boundary Elements (F-and-B’09) WSEAS , 2009, Tbilisi, Georgia.
• Numerical solution of Cauchy problems for evolutionary equations by Gauss&Hermite processes, by Tamaz Vashakmadze (Speaker) at Congress 2009-Kiev, 2009, Kiev, Ukraine.
• 2D Nonlinear Mathematical Models of von Kármán-Mindlin-Reissner Type for Thin-walled Structures Connected with Seismic Problems, by Tamaz Vashakmadze (Speaker) at conference on seismic safety problems region population, cities and departments, SSCR-2008, 2009, Tbilisi, Georgia.
• About numerical realization of an alternative method of the theory of perturbation for some linear operational equations., by Tamaz Vashakmadze (Speaker), Archil Papukashvili, Gela Manelidze at V Congress of the Georgian Mathematicians. , 2009, Batumi/Kutaisi, Georgia.
• Mathematical Models for Bending Problems of some Thin-walled Elastic Structuresfor Binary Mixtures, by Tamaz Vashakmadze (Speaker) at Inter¬ntionalScien&Techn. Conference “Architecture and Construction – Topical Problems”, 2008, Yerevan, Armenia.
• To methods of approximate solution of boundary value problems for ordinary differential equations, by Tamaz Vashakmadze (Speaker) at Intern. Conference “Modern Problems in Applied Mathe¬matics”, dedicated to the 90th Anniversary of Iv.Javakhishvili Tbilisi St.University&40th Anniversary ot the I.Vekua IAM, 2008, Tbilisi, Georgia.
• Initial approximations of nonlinear hierachical models for medium consisting of porous-solid and fluid parts, by Tamaz Vashakmadze (Speaker) at Inter.Conference “Modern Problems in Applied Mathe¬ma¬tics”, dedicated to the 90th Anniversary of Iv.Javakhishvili Tbilisi St.University&40th Anniversary ot the I.Vekua IAM, 7-9 October, 2008, Tbilisi, Georgia.
• Von Karman type systems of equations for porous, piezo and viscous elastic plates, by Tamaz Vashakmadze (Speaker) at Inter. Conference “Modern Problems in Applied Mathematics”, dedicated to the 90th Anniversary of Iv.Javakhi¬shvili Tbilisi St.University&40th Anniversary of the I.Vekua IAM, 2008, Tbilisi, Georgia.
• On the Basic Systems of Equations of Continuum Mechanics and Some Mathematical Problems for Anosotropisc Thin-walled Structures, by Tamaz Vashakmadze (Speaker) at IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Model, dedicated to the Centerary of Ilia Vekua’s Birth , 2008, Tbilisi, Georgia.
• Basic systems of equations of continuum mechanics and some mathematical problems for anisotropic thin-walled structures, by Tamaz Vashakmadze (Speaker) at International Conference Mech. Ballistics “6thOkunev’s Readings“, 2007, St-Peterburg,Russia.
• On basic systems of equations of continuum mechanics and some mathematical problems for anisotropic thin-walled structures, Relation of Shell, Plate, Beam and 3D Models, by Tamaz Vashakmadze (Speaker) at Ilia Vekua-100, Book of Abstracts, 2007, 53-54, 2007, Tbilisi, Georgia.
• New mathematical models for thin-walled structures and projective methods for their solutions , by Tamaz Vashakmadze (Speaker) at ISAAC Conference Dedicated to the Centerary I.Vekua , 2007, Tbilisi, Georgia.
• On application of alternating to perturbation techniques method for the system of linear algebraic equations., by Tamaz Vashakmadze (Speaker), Gela Manelidze at Enlarged sessions of the seminar of I. Vekua Institute of Applied Mathematics , 2006, Tbilisi, Georgia.
• On the alternative to asymptotic method for linear boundary problems, by Tamaz Vashakmadze (Speaker), Archil Papukashvili, Gela Manelidze at Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2006, Tbilisi, Georgia.
• On Construction of the system of Fonn Karman type equations, by Tamaz Vashakmadze (Speaker) at Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2005, Tbilisi, Georgia.
• On application of alternating to perturbation techniques method to linear algebraic and singular integral systems of equations. , by Gela Manelidze (Speaker), Archil Papukashvili, Tamaz Vashakmadze at IV Congress of the Georgian Mathematicians. , 2005, Tbilisi Georgia.
• On the approximate solution of the singular integral equation with the immovable singularity., by Archil Papukashvili (Speaker), Tamaz Vashakmadze, Gela Manelidze at IV Congress of the Georgian Mathematicians. , 2005, Tbilisi Georgia.
• On some thermo-dynamical problems of nonlinear solid mechanics, by Tamaz Vashakmadze (Speaker) at Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2004, Tbilisi, Georgia.
• On a mathematical modeling for some problem of mechanics of continuous media, by Tamaz Vashakmadze (Speaker) at Reports of enlarged sessions of the seminar of I. Vekua Institute of Applied Mathematics , 2003, Tbilisi, Georgia.
• To Teaching of New Technology of Design of Some Problems for ODE in High School, by Tamaz Vashakmadze (Speaker) at Inter. Conf. Teaching Math, 2002, Crete,Greece.
• About electrodynamical characteristics for composition antennas, by Tamaz Vashakmadze (Speaker), E.I. Gugushvili at Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2000, Tbilisi, Georgia.

Publications

• Tamaz Vashakmadze, Giorgi Buzhgulashvili, About the approximate solution of the boundary value problem for the ordinary differential equation, Bulletin of enlarged sessions of the seminar of the Institute of Applied Mathematics named after I. Vekua. volume 37,, TSU Press, 2023.
• Tamaz Vashakmadze, On the reduction of three-dimensional models of elastic thin-walled structures., XIV Annual International Conference of the Union of Mechanics of Georgia. A collection of works, TSU Press, 2023.
• Tamaz Vashakmadze, On the origin of the theory of distributions or the heritage of Andrea Razmadze, Bull. Georg. Natl. Acad. Sci., vol. 11, no. 2, 2017, Georgian Academy of Sciences, 2021.
• Tamaz Vashakmadze, TO THE CREATION OF CONSISTENT MODELS FOR OF THIN-WALLED STRUCTURES, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics Volume 34, Tbilisi University Press, 2020.
• Tamaz Vashakmadze, On the theory and practice of thin walled plates, On the theory and practice of thin walled plates, De Gruyter, 2020.
• Tamaz Vashakmadze, ON THE REALIZATION OF THE GAUSS-HERMITE APPROXIMATE METHOD FOR THE CAUCHY PROBLEM, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics Volume 33, 2019, Tbilisi University Press, 2019.
• Tamaz Vashakmadze, წასაშლელია On Physical Soundness of Von Karman Type Systems and Cauchy Problems for Evolutionary Equations, THE THIRD INTERNATIONAL CONFERENCE „MODERN PROBLEMS IN APPLIED MATHEMATICS “, p. 24, Tbilisi University Press, 2018.
• Tamaz Vashakmadze, On Physical Soundness of Von K´arm´an Type Systems and Cauchy Problems for Evolutionary Equations, THE THIRD INTERNATIONAL CONFERENCE „MODERN PROBLEMS IN APPLIED MATHEMATICS“ Dedicated to the Centenary of I. Javakhishvili Tbilisi State University and 50th Anniversary of I.Vekua Institute of Applied Mathematics September 19-21, 2018 I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University (TSU) University St. 2, Tbilisi, Georgia , Tbilisi University Press, 2018.
• Tamaz Vashakmadze, ON THE CREATION OF INITIAL DATA BY GAUSS-HERMITE APPROXIMATION METHOD FOR THE CAUCHY PROBLEM, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics Volume 32, 2018, Tbilisi University Press, 2018.
• Tamaz Vashakmadze, On the Origin of the Theory of Distributions or the Heritage of Andrea Razmadze, BULLETIN OF THE GEORGIAN NATIONAL ACADEMY OF SCIENCES, vol. 11, no. 2, 2017, GAS, 2017.
• Tamaz Vashakmadze, Zurab Vashakidze, To Scientific Computing for Certain Classes of Mathematical Problems for Some Differential Equations , conference.ens-2017.tsu.ge, Tbilisi University Press, 2017.
• Tamaz Vashakmadze, To Some problems for Thermo-Dynamic Elastic Multilayer Thin-Walled Structures, /Proceedings of TICCSAM- 2015, Tbilisi, publisher ”Nekeri”, 2015.
• Tamaz Vashakmadze, New algorithm of the operation number estimation of the polynomial products, Mtskheta. Georgia, Georgian Patent, mcxeTa, saqarTvelo, saqpatenti, 2015.
• Tamaz Vashakmadze, Yusuf Gulver , Archil Papukashvili, Application of projective methods for solving boundary value problems of differential equations with a small parameter, AIP Conference Proceedings 1558, 1171 (2013);, 2013 AIP Publishing LLC., 2013.
• Tamaz Vashakmadze, To problem of approximate solution of BVPs for ODEs with boundary layers by multipoint methods, AIP Conference Proceedings 1558, 1167 (2013), 2013 AIP Publishing LLC., 2013.
• Tamaz Vashakmadze, To problem of reliable calculation of coefficients of secular equation by special functions, IP Conference Proceedings 1558, 1164 (2013), 2013 AIP Publishing LLC., 2013.
• Tamaz Vashakmadze, The Theory of Anisotropic Elastic Plates, Springer Science & Business Media, Springer, 2013.
• Tamaz Vashakmadze, Yusuf Gulver , APPROXIMATE SOLUTION OF SOME JUSTIFYING MATHEMATICAL MODELS CORRESPONDING TO 2DIM REFINED THEORIES., Journal of Applied Functional Analysis . Jan2013, Vol. 8 Issue 1, p23-36. 14p., EBSCO Industries, Inc, 2013.
• Tamaz Vashakmadze, To Approximate Solution of Ordinary Differential Equations, I, Advances in Applied Mathematics and Approximation Theory pp 165–181, Springer, 2013.
• Tamaz Vashakmadze, To Approximate Solution of Ordinary Differential Equations, I, Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012, - International Conference on Applied Mathematics and Approximation Theory, 2012.
• Tamaz Vashakmadze, To nonlinear dynamical processes for some piezo-electric and electrically conductive continuum media, 2010 XVth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010, pp. 28-38., IEEE, 2010.
• Tamaz Vashakmadze, Numerical Analysis I, Book, 2009. 188 p., Tbilisi University Press, 2009.
• Tamaz Vashakmadze, 2D Nonlinear Mathematical Models of von Kármán-Mindlin-Reissner Type for Thin-walled Structures Connected with Seismic Problems, Extended Abstracts of The first Inter. conference on seismic safety problems region population, cities and departments, SSCR-2008, Sept. 8-11, Tbilisi, 2009. 3p, Tbilisi University Press, 2009.
• Tamaz Vashakmadze, Numerical realizations of some difference schemes for boundary value problems for second order ordinary differential equations, Proceed.WSEASInter.Con.on Finite Differences, Finite Elaments, Finite Volumes, Boundary Elements (F-and-B’09) WSEAS Press, 2009, pp. 154-158, Tbilisi University Press, 2009.
• Tamaz Vashakmadze, Nonlinear Dynamical Mathematical Models for Plates and Numerical Solution Cauchy Problems by Gauss-Hermite Processes, Proceed. WSEAS Inter. Con. on Finite Differences, Finite Elaments, Finite Volumes, Boundary Elements (F-and-B’09) WSEAS Press, 2009, pp. 159-164, Tbilisi University Press, 2009.
• Tamaz Vashakmadze, წასაშლელია Dynamical Mathematical Models for Plates and Numerical Solution of Boundary Value and Cauchy Problems for Ordinary Differential Equations, WSEAS TRA¬NSA¬CTIONS on MATHEMATICS (ISSN: 1109-2769), Issue 8,Volume 8, August 2009, pp.445-456 , Tbilisi University Press, 2009.
• Tamaz Vashakmadze, To Fundamental Systems of Continuum Mechanics,its Application for Constructing, Justifying, and Numerical Solving of Some 2D New Mathematical Models, Fifth Congress of Mathematicians of Georgia, Abstracts, Batumi/Kutaisi,Oqtober 9-12, 2009, p. 121, Batumi State University, 2009.
• Tamaz Vashakmadze, Dynamical mathematical models for plates and numerical solution of boundary value and Cauchy problems for ordinary differential equations, WSEAS Transactions on Mathematics, v.8, n. 8., pp. 445-456., 2009, WSEAS, 2009.
• Tamaz Vashakmadze, Giorgi Arabidze, წასაშლელია Numerical realizations of some difference schemes for boundary value problems for second order ordinary differential equations, Proceedings of the 2nd WSEAS International Conference on FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES, BOUNDARY ELEMENTS, 154-158, Tbilisi University Press, 2009.
• Tamaz Vashakmadze, On the Basic Systems of Equations of Continuum Mechanics and Some Mathematical Problems for Anosotropics Thin-walled Structures, IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Model, dedicated to the Centerary of Ilia Vekua’s Birth (Edited by G. Jaiani, P. Podio-Guidugli), Springer Science+Business Media, B.V.9, 2008, 207-217., Springer, 2008.
• Tamaz Vashakmadze, Von Karman type systems of equations for porous, piezo and viscous elastic plates, Inter. Conference “Modern Problems in Applied Mathe¬matics”, dedicated to the 90th Anniversary of Iv.Javakhi¬shvili Tbilisi St.University&40th Anniversary of the I.Vekua IAM, 7-9 Oct. 2008, Tbilisi, Book of Abstracts, p. 30., Tbilisi University Press, 2008.
• Tamaz Vashakmadze, Some mathematical problems of nonlinear mechanics., Proceedings of "Non-classical problems of mechanics”, 25-27.10.2007, Kutaisi, Georgia, vol.1 2007, 5-10, Akaki tsereteli Kutaisi State University, 2007.
• Tamaz Vashakmadze, To calculation of classical orthogonal polynomials, Proceedings of ISAAC Conference, 23-27 April, 2007, Tbilisi, Georgia, Dedicated to the CenteraryI.Vekua, AMMI (appearin), 6p, Tbilisi University Press, 2007.
• Tamaz Vashakmadze, Volodymyr L. Makarov, NEW MATHEMATICAL MODELS FOR THIN-WALLED SOLID STRUCTURES AND PROJECTIVE METHODS FOR THEIR SOLUTION, AMIM Vol.12 No.2, 2007, p 11 - 10, Tbilisi University Press, 2007.
• Tamaz Vashakmadze, On the Basic Systems of Equations of Continuum Mechanics and Some Mathematical Problems for Anisotropic Thin-Walled Structures, IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_19, Elsevier, 2007.
• Tamaz Vashakmadze, Gela Manelidze, Archil Papukashvili, About the use of an approach alternative to the asymptotic method for linear nonhomogeneous boundary problems , International conference “Non-classic problems of mechanics”. Kutaisi, Georgia. October 25-27, 2007. Proceedings, v.2, p.85-91., Kutaisi University Press, 2007.
• Tamaz Vashakmadze, On a Remark to a Law of Natural Sciences, Bulletin of TICMI vol.10, Tbilisi University Press, 2006.
• Tamaz Vashakmadze, A new treatment for some thin-walled structures of poro-elastic media and governing systems of equations in continuum mechanics, Rendiconti, Memorie di Mathe¬matica e Applicazioni, Vol.124, Acc. XL, 213-226, 2006-07, Accademia Nazionale delle Scienze detta dei XL, Roma, 2006.
• Tamaz Vashakmadze, Mathematical Models for some thin-walled solid structures and projective methods for their solution, Actual appearances of physical and mathematical investigations. Mechanics. Kiev, NaukovaDumka, v.2, 2007, 15-35, Mechanics. Kiev, NaukovaDumka, 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.
• Tamaz Vashakmadze, Roman Janjgava, On Construction and Justification of von Karman-Reissner Type Equations for Binary Mixture of the Elastic Plates, Proceedings, 1 (447), Georgian Technical University, Tbilisi, 2003, pp. 53-65 , Georgian Technical University, 2005.
• Tamaz Vashakmadze, To the new treatment for some poro-elastic thin walled structures, J. Georgian Geophysical Society, Issue A, vol. 9A, Tbilisi, 2005, 100-109, M. Nodia Institute of Geophysics, 2005.
• Tamaz Vashakmadze, On one law of continuous medium of mechanics , მათემატიკოსთა II ყრილობის კრებული, 14-16, Georgians Mathematical Union, 2005.
• Tamaz Vashakmadze, Archil Papukashvili, Nino Burjanadze, Gela Kipiani, On approximate solution of integral equation with motionless singularity, Proceedings of the assemble of the Georgian Mathematicians, Georgian Mathematician Union, 2005.
• Tamaz Vashakmadze, Tengiz Meunargia, Roman Janjgava, To Construction of General Solutions of Reissner-Filon type Refined 2D Models for Thin-walled Elastic Mixtures, Proceeding TSU Appl. Math&Comp. Sci.vol.22-23, 2002-2003, pp.121-128 , Tbilisi University Press, 2003.
• Tamaz Vashakmadze, To Dynamical Problems of 3D Anisotropic Theory of Elasticity, Proceeding TSU Appl. Math&Comp. Sci. vol. 22-23, 2002-2003, pp. 115-120, Tbilisi University Press, 2003.
• Tamaz Vashakmadze, To Some Thermo-Dynamical Nonlinear Spatial Problems of Piezo-Poro-Elasticity for Binary Mixture, DEMPh-2003, Sect. 2, Razmadze Mathematical Institute, 2003.
• Roman Janjgava, Tamaz Vashakmadze, On Construction and Justification of Von Karman-Reissner System of Equations for Elastic Plates Binary Mixtures, Trans. of the GTU, 447, 2003, 53-65, GTU, 2003.
• Roman Janjgava, Tamaz Vashakmadze, On the General Solution of Reissner-Filon Type System of Differential Equations for Elastic Plates Binary Mixtures, Proceedings of Javakhishvili Tbilisi State University. Applied Mathematics and Computer Sciences, 253 (22-23), 2003, 53-65, Tbilisi University Press, 2003.
• Tamaz Vashakmadze, SOME MATHEMATICAL PROBLEMS OF POROELASTICITY: MODELING, ANALYSIS, DESIGN, AND ITS APPLICATIONS, Bulletin of TICMI,Vol.6,2002,pp.1-4, Tbilisi University Press, 2002.
• Tamaz Vashakmadze, To Justification of von Karman-Reissner Type Equations and Mathematical Modeling of Poroelastic Media, Computational Fluid Dynamics Journal, Vol.11. No 2, 2002, pp.161-166. , Taylor and Francis Ltd., 2002.
• Tamaz Vashakmadze, Mathematical Theory of Elastic Plates, Lecture Notes, Tbilisi University Press, 2002.
• Tamaz Vashakmadze, Course of Lectures in Numerical Methods of Linear Algebra Manuscript, Lecture Notes, Tbilisi University Press, 2002.
• Tamaz Vashakmadze, Theory and Application of Spline Functions, Lecture Notes, Tbilisi University Press, 2002.
• Tamaz Vashakmadze, Justification von Karman-Reissner type equations and mathematical modeling of poro-elastic media, COMPUTATIONAL FLUID DYNAMICS JOURNAL 11.2 (2002): 161-166, Tailor Francis Pub. House, 2002.
• Tamaz Vashakmadze, To Teaching of New Technology of Design of Some Problems for ODE in High School, Inter. Conf. Teaching Math.-2, Crete, ID 273, 2002, p.259, University of Crete, 2002.
• Tamaz Vashakmadze, To von Karman-Reissner Type Equations and Mathematical Modeling of Poro-Elasto-Plastic Media, Proceed. Javakhishvili Tbilisi State University: Appl. Math&Comp. Sci. Vol. 343 (21), 2001, pp.69-86, Tbilisi University Press, 2001.
• Tamaz Vashakmadze, წასაშლელია - A two-dimensional nonlinear theory of anisotropic plates, Mathematical and computer modelling 32 (7-8), 855-875, Pergamon, 2000.
• Tamaz Vashakmadze, On the basic systems of equations of continuum mechanics and some mathematical problems for anisotropic thin-walled structures, UTAM Symposium on Relations of Shell Plate Beam and 3D Models, 207-217, Springer, Dordrecht, 2000.
• Tamaz Vashakmadze, Robert Hilbert, On the justification of Von Karman type systems of equations and mathematical modeling for porous-elastic plate, Izvestia VUZOV - Devero-Kavkazskii Region, v 3, Izvestia, 2000.
• Tamaz Vashakmadze, Two-Dimensional Nonlinear Theory of Anisotropic Plates, Mathematical and Computer Modeling, Vol.32, Issue 7-8, 2000, pp.855-875, Elsevier, 2000.