- გამოთვლითი მათემატიკისა და მოდელირების განყოფილების

მეცნიერი თანამშრომელი **ოფისი**: ოთახი 216, უნივერსიტეტის ქ.11, 0186 თბილისი, საქართველო**ტელეფონი**: 599 17 53 47**ელ.ფოსტა**: archil.papukashvili@tsu.ge**სამეცნიერო ინტერესები**: რიცხვითი ანალიზი, გამოთვლითი მათემატიკა, მათემატიკური მოდელირება

1971-1976 წლებში სწავლობდა ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტში (თსუ), მექანიკა-მათემატიკის ფაკულტეტზე. 1976 წელს მან მიიღო დიპლომი მათემატიკაში გამოთვლითი მათემატიკის სპეციალობით. 1976 წლიდან მუშაობს ივანე ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის (თსუ) ილია ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტში (VIAM). 1994 წელს მიენიჭა მეცნიერებათა კანდიდატის ხარისხი ფიზიკა-მათემატიკაში (გამოთვლითი მათემატიკა) და ათი წლების შემდეგ მან დოცენტის წოდება მოიპოვა. 2012 წლიდან 2016 წლამდე მუშაობდა თსუ-ს ზუსტ და საბუნებისმეტყველო მეცნიერებათა ფაკულტეტზე, რიცხვითი ანალიზისა და გამოთვლითი ტექნოლოგიების დეპარტამენტის ასისტენტ პროფესორად. არჩილ პაპუკაშვილს გამოქვეყნებული აქვს 50-ზე მეტი სამეცნიერო ნაშრომი.

- ერთი კლასის სინგულარული ინტეგრალური განტოლებების მიახლოებითი ამოხსნის საკითხები (Grant //SC / 28/5-106/12. ), 2013-2013.
- Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
- ნავთობისა და გაზის მილსადენებზე ექსტრემალური ავარიებისა და გარემოს შესაძლო გაჭუჭყიანების რისკ ფაქტორების შეფასება მათემატიკური მოდელირებით (09-614-5-210 ), 2010-2012.
- ზოგიერთი ფიზიკური ველის ზემოქმედების შესწავლა პერიოდულ და კვაზიპერიოდულ სტრუქტურებზე (#GNSF/ST08/3-395), 2009-2012.

*On the mathematical model of the j. ball's thermo-viscous-elastic beam*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Meri Sharikadze**at XV Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 29-31 August, 2024.*About mathematical modeling of thermo-viscous-elastic bodies*, by**Giorgi Geladze (Speaker), Archil Papukashvili, Meri Sharikadze, Manana Tevdoradze**at XV Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 29-31 August, 2024.*On the approximate solution of the J. Ball's beam equation in the case of temperature dependence of effective viscosity*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Meri Sharikadze**at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2024.*Further Exploration of the Mesoscale Atmospheric Boundary Layer*, by**Giorgi Geladze (Speaker), Archil Papukashvili, Meri Sharikadze**at The fourth international conference „modern problems in applied mathematics“ (MPAM2023) Dedicated to the 105th Anniversary of I. Javakhishvili Tbilisi State University & 55th Anniversary of I.Vekua In, Tbilisi, Georgia, 13-15 September, 2023.*About the Numerical Solutions of Two Nonlinear Integro-Differential Equations*, by**Archil Papukashvili (Speaker)**at THE FOURTH INTERNATIONAL CONFERENCE „MODERN PROBLEMS IN APPLIED MATHEMATICS“ (MPAM2023) Dedicated to the 105th Anniversary of I. Javakhishvili Tbilisi State University & 55th Anniversary of I.Vekua In, Tbilisi Georgia, 13-15 September, 2023.*On the Approximation of the Solution for a Kirchhoff’s-type Equation Describing the Dynamic Behavior of a String*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Jemal Peradze, Meri Sharikadze**at XIII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-09 September, 2023.*On the numerical computations to J. Ball’s beam equation in the case where the material's effective viscosity is dependent on its velocity*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.*On the thermohydrodynamic mathematical model of foehns*, by**Giorgi Geladze (Speaker), Archil Papukashvili, Manana Tevdoradze**at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.*On the numerical solution to J. Ball’s beam equation in the case where the material's effective viscosity is dependent on its velocity*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.*On the solution of an initial-boundary value problem of a string*, by**Jemal Peradze (Speaker), Archil Papukashvili, Giorgi Papukashvili, Meri Sharikadze**at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.*On the Algorithm of an Approximate Solution and Numerical Computations for the J. Ball Nonlinear Integro-Differential Equation*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**at XII International Conference Of The Georgian Mathematical Union, Batumi, Georgia, from 29 August to 03 September, 2022.*A numerical solution of anti-plane problems of the elasticity theory for composite isotrpic plane slackened by a linear crack*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.*On numerical modeling of humidity processes in the atmosphere*, by**Giorgi Geladze (Speaker), Archil Papukashvili, Meri Sharikadze, Manana Tevdoradze**at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.*On the algorithm of an approximate solution and numerical computations for J. Ball nonlinear integro-differential equation*, by**Archil Papukashvili (Speaker), Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Dedic. to the 85th anniversaries of T. Vashakmadze, Tbilisi, Georgia, 19-21 April, 2022.*On the Numerical Computations of the Anti-Plane Problem of the Elasticity Theory in the Case of a Composite Isotropic Body Weakened by a Perpendicular Crack to the Dividing Border*, by**Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze**at XII Annual International Meeting of the Georgian Mechanical Union, Kutaisi, Georgia, 09-11 September, 2021.*On the Approximate Solution Using the Collocation Method of the Singular Integral Equation Containing the Fixed Singularity*, by**Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze**at XI Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 23-28 August, 2021.*An Approximate Solution of the Anti-Plane Problems of Elasticity Theory for Isotropic Composite Plane Weakened by Crack Using a Method of Discrete Singularity*, by**Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze**at XXXV International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 21-24 April, 2021.*Approximate Solution of Anti-plane Problem of Elasticity Theory for Composite Isotropic Bodies Weakened by Crack*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at XI Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 27-29 August, 2020.*On the Numerical Computations of an Antiplane Problem in the case of Isotropic Composite Body Weakened by a Crack*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at XXXIV International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 20-24 April, 2020.*On a numerical computation for one non-linear Integro-differential equation of Timoshenko type*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at X Annual International Meeting of the Georgian Mechanical Union, Telavi, Georgia, 26-28 September, 2019.*On a numerical computation for one non-linear beam equation of Timoshenko type*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at X Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 02-07 September, 2019.*On a numerical realization for a Timoshenko type one nonlinear beam equation*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at XXXIII International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2019.*Construction and numerical realization of algorithms for approximate solution of some Kirchhoff and Timoshenko types non-linear beams*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze, Jemal Peradze**at IX Annual International Meeting of the Georgian Mechanical Union Dedicated to 85th Anniversary of the Akaki Tsereteli State University , Kutaisi, Georgia, 11-13 October, 2018.*Construction and numerical realization of approximate solution algorithms for some nonlinear integro-differential equations*, by**Archil Papukashvili (Speaker), Meri Sharikadze**at III international conference "Modern problems in applied mathematics", dedicated to the Centenary of I.Javakhishvili Tbilisi State University & 50th Anniversary of I.Vekua Institute of Applied Mathema, Tbilisi, Georgia, 19-21 September, 2018.*Construction and Numerical Realization of Algorithms for Approximate Solution of Some Nonlinear Integrodifferential Equations*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at IX Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 03-07 September, 2018.*Numerical calculations of the J.Ball nonlinear dynamic beam*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Meri Sharikadze**at XXXII International Enlarged Session of the Seminar of Ilia Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2018.*On approximate solution of anti-plane problem of composite bodies weakned by crack*, by**Archil Papukashvili (Speaker), Teimurazi Davitashvili**at The Third International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering,Dedicated to the 80th Birthday Anniversary of David Gordeziani (AMINSE), Tbilisi, Georgia, 07-09 December, 2017.*On the algorithms of approximate solution and the numerical computations for some Kirchhoff type nonlinear integro-differential equations.*, by**Archil Papukashvili (Speaker), Giorgi Papukashvili, Jemal Peradze**at VIII Annual International Conference of the Georgian Mechanical Union., Tbilisi Georgia, 27-29 September, 2017.*Numerical Calculations of the Timoshenko type Dynamic Beam Nonlinear Integro-Differential Equation*, by**Giorgi Papukashvili (Speaker), Meri Sharikadze, Archil Papukashvili**at VIII International Conference of The Georgian Mathematical Union, Batumi, Georgia, 04-08 September, 2017.*Numerical Computation of the Kirchhoff type Nonlinear Static Beam Equation by Iterative Method.*, by**Archil Papukashvili (Speaker), Jemal Peradze, Zurab Vashakidze**at VIII Annual International Conference of the Georgian Mathematical Union. , Batumi, Georgia, 04-08 September, 2017.*Variational-Difference Scheme for Kirchhoff Two-Dimensional Nonlinear Dynamical Equation.*, by**Zurab Vashakidze (Speaker), Jemal Rogava, Archil Papukashvili**at VIII Annual International Conference of the Georgian Mathematical Union., Batumi, Georgia, 04-08 September, 2017.*On one method of approximate solution of Kirchhoff type static beam nonlinear integrodifferential equation*, by**Archil Papukashvili (Speaker), Zurab Vashakidze, Meri Sharikadze**at XXXI Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2017.*The Numerical Solution of a Two-Point Boundary Value Problem with a Non-Constant Coefficient by Means of Operator Interpolation Method.*, by**Archil Papukashvili (Speaker)**at II International Conference on Aplication of Mathematics and Informatics in Natural Sciences and Engineering. , Tbilisi Georgia, 21-23 September, 2016.*The numerical solution for a two-point boundary value problem with a non-constant coeffcient by means of operator interpolation method*, by**Archil Papukashvili (Speaker), Meri Sharikadze, Ekaterine Namgalauri, Mariam Gorgisheli**at VII International Joint Conf. of Georg. Math. Union & Georg. Mech. Union“Continuum Mechanics and Related Problems of Analysis”Dedicated to 125-th birthday anniversary of academician N. Muskhelishvili, Batumi, Georgia, 11-14 September, 2016.*Approximate solution of some boundary value problem of antiplane elasticity theory by collocation method for composite bodies weakened by cracks.*, by**Archil Papukashvili (Speaker), Teimurazi Davitashvili, Zurab Vashakidze**at VI Annual Meeting of the Georgian Mechanical Union, Tbilisi Georgia, from 29 September to 04 October, 2015.*On Crack Behavior in the Composite Piece-wise Homogeneous Body*, by**Teimurazi Davitashvili (Speaker), Archil Papukashvili, Zurab Vashakidze**at Proceedings of the 4th International Conference on Applied and Computational Mathematics (ICACM '15), Seoul, South Korea , 05-07 September, 2015.*On one method of approximate solution of antiplane problem of elasticity theory for two dimensional body having cross form*, by**Archil Papukashvili (Speaker), Medea Demetrashvili, Meri Sharikadze**at VI International Conference of The Georgian Mathematical Union, Batumi, Georgia, 12-16 July, 2015.*On the numerical solution of contact problem for Poissons and Kirchhoff equation system*, by**Archil Papukashvili (Speaker), Jemal Rogava, Zurab Vashakidze**at V Annual Meeting of the Georgian Mechanical Union, Tbilisi Georgia, 08-10 October, 2014.*On one method of approximate solution of Dirchlet boundary value problem of Poisson’s equation for two dimensional body having cross form*, by**Archil Papukashvili (Speaker), Zurab Vashakidze**at V Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, 08-12 September, 2014.*On one method of approximate solution of a problem of the rectangular plate deflection by thin rigid inclusion*, by**Archil Papukashvili (Speaker)**at IV Annual Meeting of the Georgian Mechanical Union , Kutaisi Georgia, 08-10 November, 2013.*On one finite-difference method of the Approximate Solution of 3D Mixed Boundary Value Problem of Elasticity Theory*, by**Archil Papukashvili (Speaker), Meri Sharikadze, Zurab Vashakidze**at IV Anual Conference of the Georgian Mathematical Union Dedicated to Academician Victort Kupradze on his 110-th anniversary and Georgian Mathematical Union on his 90-th year from founding, Batumi, Georgia, 09-15 September, 2013.*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.*On approximate solution of one class system the singular integral equations*, by**Archil Papukashvili (Speaker), Gela Manelidze, Meri Sharikadze**at III Annual Meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 19-22 December, 2012.*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 the approximate solution of 3D mixed boundary value problem of the elasticity theory and applications to micromechanics.*, by**Nino Khatiashvili (Speaker), Jana Bolkvadze, Omar Komurjishvili, Giorgi Kurdghelashvili, Archil Papukashvili**at II Annual Meeting of the Georgian Mechanical Union; #GNSF/ST08/3-395, Tbilisi Georgia, 15-17 December, 2011.*Mathematical Modelling of Liquid Phase Detection in the Main Gas Pipelines*, by**Teimurazi Davitashvili (Speaker), Archil Papukashvili, Tinatin Davitashvili**at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, Tbilisi, Georgia, 14-15 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.*Mathematical modeling of leak detection in branched main gas pipelines*, by**Teimurazi Davitashvili (Speaker), Givi Gubelidze, Inga Samkharadze, Archil Papukashvili**at International conference on Mathematical Modelling of Environment Pollution Problems and Assessment of Risk Factors, Tbilisi, Georgia, 14-15 December, 2011.*ON THE REALIZATION OF ONE NON-LINEAR MATHEMATICAL MODEL BY P/C*, by**David Gordeziani (Speaker), Ekaterine Gordeziani, Tinatin Davitashvili, Archil Papukashvili**at II Annual Meeting of the Georgian Mechanical Union,Dedicated to 105th Birthday Anniversary of Ilia Vekua, Tbilisi, Georgia, 15-19 November, 2011.*Mathematical Modelling Of Hydrates Origin in the Gas Pipelines*, by**Teimurazi Davitashvili (Speaker), Givi Gubelidze, Archil Papukashvili, Inga Samkharadze, Tinatin Davitashvili**at II International Conference Dedicated to the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First President Academician Nikoloz (Niko) Muskhelisxhvili, Batumi, Georgia, 15-19 September, 2011.*On the Spectrum of the Helmholtz Equation for the hexagonal type stripe*, by**Nino Khatiashvili (Speaker), Archil Papukashvili, Jana Bolkvadze, Manana Tevdoradze**at II International Conference of the GMU; #GNSF/ST08/3-395, Tbilisi, GEORGIA, 15-19 September, 2011.*On Modelling of Liquid-phase Formation in Gas Pipelines for NonStationary Flows*, by**Teimurazi Davitashvili (Speaker), Givi Gubelidze, David Gordeziani, Archil Papukashvili, Tinatin Davitashvili, Meri Sharikadze**at International Conference on “CONTINUUM MECHANICS AND RELATED PROBLEMS OF ANALYSIS, Tbilisi, Georgia, 09-14 September, 2011.*An approximate solution of one system of the singular integral equations by collocation method*, by**Archil Papukashvili (Speaker), Teimurazi Davitashvili, Meri Sharikadze, Giorgi Kurdghelashvili**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.*On the Approximate Solution of 3D Mixed Boundary Value Problem of the Elasticity Theory by means of the Finite-Difference Method and some of its Applications*, by**Archil Papukashvili (Speaker), Nino Khatiashvili, Jana Bolkvadze, Omar Komurjishvili, Giorgi Kurdghelashvili, Zurab Kuchava**at International Conf. Continuum Mechanics and Related Problems of Analysis to Celebrate the 70th Anniversary of the Georgian National Academy of Sciences ; #GNSF/ST08/3-395, Tbilisi, Georgia, 09-14 September, 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.*An Approximate Solution of One System of the Singular Integral Equations*, by**Archil Papukashvili (Speaker), Meri Sharikadze, Giorgi Kurdghelashvili**at XXV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili TSU, Tbilisi, Georgia, 20-23 April, 2011.*An approximate solution of three-dimensional mixed boundary value problem of elasticity theory and some of its applications to nanostructures.*, by**Archil Papukashvili (Speaker), Nino Khatiashvili, Jana Bolkvadze**at The First Annual Meeting of the Georgian Mechanical Union; #GNSF/ST08/3-395, Tbilisi Georgia, 20-22 December, 2010.*Some questions of approximate solutions for composite bodies weakened by cracks in the case of antiplane problems of elasticity theory*, by**Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili**at The First Annual Meeting of the Georgian Mechanical Union, Tbilisi Georgia, 20-22 December, 2010.*About the approached decision of one boundary problem of the antiplane theory of elasticity.*, by**Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili**at The International Scientific Conference Devoted to the 80th anniversary of Academician I.V.Prangisvili “Information and Computer Technologies, Modeling, Control”. , Tbilisi Georgia, 01-04 November, 2010.*About the numerical decision of some singular integral equations by collocation method*, by**Archil Papukashvili (Speaker), David Gordeziani, Teimurazi Davitashvili**at First International Conference of the Georgian Mathematical Union, Batumi, Georgia, 12-19 September, 2010.*ON THE 3D HELMHOLTZ EQUATION IN A PERIODIC DOMAINS WITH CUTS*, by**Nino Khatiashvili (Speaker), Omar Komurjishvili, Archil Papukashvili, Manana Tevdoradze**at I Annual Meeting of GMU; #GNSF/ST08/3-395, Batumi, GEORGIA, 06-11 September, 2010.*On the periodic problems in 3D*, by**Nino Khatiashvili (Speaker), Omar Komurjishvili, Zurab Kuchava, Archil Papukashvili**at TIKMI Workshop on Boundary Value Problems for Partial Differential Equations 23-24 June, 2010 ; #GNSF/ST08/3-395, Tbilisi, GEORGIA, 23-24 June, 2010.*About the approached decision of one boundary problem of the antiplane theory of elasticity.*, by**Archil Papukashvili (Speaker)**at The international conference on Information and Computing Technologies. , Tbilisi Georgia, 02-06 May, 2010.*About the approached decision of one singular integral equation containing small parameter.*, by**Archil Papukashvili (Speaker), Gela Manelidze**at V Congress of the Georgian Mathematicians. , Batumi/Kutaisi, Georgia, 09-12 October, 2009.*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. , Batumi/Kutaisi, Georgia, 09-12 October, 2009.*On application of alternating to perturbation techniques method to singular integral equations containing an immovable singularity.*, by**Archil Papukashvili (Speaker)**at International Conference “Analytic methods of Mechanics and Complex Analysis”., Kiev Ukraine, from 29 June to 05 July, 2009.*On application of alternating to perturbation techniques method to singular integral equations containing an immovable singularity.*, by**Archil Papukashvili (Speaker), Gela Manelidze**at International Conference on Modern Problems in Applied Mathematics. Dedicated to the 90 th Anniversary of the Iv. Javakhishvili Tbilisi State University & 40 th Anniversary of the I. Vekua Institute o, Tbilisi Georgia, 07-09 October, 2008.*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, Tbilisi, Georgia, 21-26 April, 2006.*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. , Tbilisi Georgia, 14-16 November, 2005.*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. , Tbilisi Georgia, 14-16 November, 2005.

**Archil Papukashvili, Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**,*Numerical Solution for J. Ball's Beam Equation with Velocity-Dependent Effective Viscosity*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 37,35-38, Tbilisi University Press, 2023.**Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze**,*A Numerical Solution of Anti-Plane Problems of the Elasticity Theory for Composite Isotropic Plane Slackened by a Linear Crack*, Bulletin of the Georgian National Academy of Sciences, vol. 16, N 2, 14-22, Georgian Academy Press, 2022.**Archil Papukashvili, Giorgi Geladze, Zurab Vashakidze, Meri Sharikadze**,*On the algorithm of an approximate solution and numerical computations for J. Ball nonlinear integro-differential equation*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, V. 36, pp. 75-78, Tbilisi University Press, 2022.**Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze**,*An Approximate Solution of the Anti-Plane Problems of the Elasticity Theory for Isotropic Composite Plane Weakened by Crack Using a Method of Discrete Singularity*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 35, 75-78, Tbilisi University Press, 2021.**Archil Papukashvili, Giorgi Papukashvili, Meri Sharikadze**,*On the Numerical Computations of an Anti-plane Problem in the case of Isotropic Composite Body Weakened by a Crack*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 34, 65-68, Tbilisi University Press, 2020.**Givi Berikelashvili, Archil Papukashvili, Jemal Peradze**,*Iterative solution of a nonlinear static beam equation*, Укр. Мат. Журн., 2020, Т. 72, № 8, c. 1024-1033. Ukrainian Mathematical Journal , 2021, 72(8), pp.1185-1196., Ukrainian Mathematical Journal, 2020.**Archil Papukashvili, Giorgi Papukashvili, Meri Sharikadze**,*On a numerical realization for a Timoshenko type one nonlinear beam equation*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 33, 51-54, Tbilisi University Press, 2019.**Archil Papukashvili, Giorgi Papukashvili, Meri Sharikadze**,*Numerical calculations of the J.Ball nonlinear dynamic beam*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 32, 47-50, Tbilisi University Press, 2018.**Archil Papukashvili, Giorgi Papukashvili, Jemal Peradze**,*On Approximate Solution of a Nonlinear Static Beam Equations*, Bulletin of the Georgian National Academy of Sciences, vol. 12, no. 1, 2018. p. 21-26., Georgian Academy Press, 2018.**Archil Papukashvili, Zurab Vashakidze, Meri Sharikadze**,*On one method of approximate solution of Kirchhoff type static beam nonlinear integrodifferential equation*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 31, 111-114, Tbilisi University Press, 2017.**Givi Berikelashvili, Archil Papukashvili, Giorgi Papukashvili, Jemal Peradze**,*Iterative solution of a nonlinear static beam equation*, ArXiv preprint, ArXiv: 1709.08687, 11 pp., Cornell University Library, USA. , 2017.**Archil Papukashvili, Beqa Tezelishvili, Zurab Vashakidze**,*The numerical solution of a two-point boundary value problem with a non-constant coefficient by means of operator interpolation method*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 30, 2016. p. 82-85., Tbilisi University Press , 2016.**Archil Papukashvili**,*Approximate Solution of Boundary Value Problem for the Ordinary Second-Order Differential Equation with Variable Coefficients by Means of Operator Interpolation Method*, Bulletin of the Georgian National Academy of Sciences, vol. 10, no. 3, 2016. p. 7-16. , Georgian Academy Press, 2016.**Archil Papukashvili, Zurab Vashakidze**,*On the numerical solution of contact problem for Poissons and Kirchhoff equation system*, Journal of I.N.Vekua Institute of Applied Mathematics AMIM (Applied Mathematics , Informatics and Mechanics ), Tbilisi 2015, v.20, N 1, 2015, p. 47-54. , Tbilisi University Press , 2015.**Archil Papukashvili, Jemal Rogava, Zurab Vashakidze**,*On one numerical method of research of the stress-deformed condition of some multystructures with difficult geometry*, TICSSAM-2015, March 21-23, 2015,Tbilisi. Conference’s Proceedings, p.140-146, Sokhumi University Press, 2015.**Archil Papukashvili, Teimurazi Davitashvili, Zurab Vashakidze**,*Approximate Solution of Anti-plane Problem of Elasticity Theory for Composite Bodies Weakened by Cracks by Integral Equation Method*, Georgian National Academy of Sciences, 9, N 3, pp. 50-57, Georgian National Academy of Sciences, 2015.**Teimurazi Davitashvili, Archil Papukashvili, Zurab Vashakidze**,*On Crack Behavior in the Composite Piece-wise Homogeneous Body*, Proceedings of the 4th International Conference on Applied and Computational Mathematics (ICACM '15), Seoul, Korea, 212-217, Published by WSEAS Press, 2015.**Archil Papukashvili**,*On one numerical method of approximate solution of boundary-contact problem of some difficult geometry multystructures bodies*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 29, 2015. p. 107-110. , Tbilisi University Press , 2015.**Archil Papukashvili**,*On numerical solution of antiplane problems of elasticity theory for composite bodies weakened by cracks*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 29, 2015. p. 111-114. , Tbilisi University Press , 2015.**Archil Papukashvili, Yusuf Gulver , Zurab Vashakidze**,*To numerical realizations and stability of calculating process of some problems of theory of elasticity for cross-shaped regions*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. Volume 28, 2014. p. 94-97. , Tbilisi University Press , 2014.**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.**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.**Nino Khatiashvili, Omar Komurjishvili, Archil Papukashvili, Revaz Shanidze, VLADIMER AKHOBADZE, Tamar Makatsaria, Manana Tevdoradze**,*On Some Mathematical Models of Growth of Solid Crystals and Nanowires*, Bulletin of TICMI, Tbilisi, Vol.17, N 1,pp.28-48; #GNSF/ST08/3-395, TSU, 2013.**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.**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.**Archil Papukashvili, Meri Sharikadze, Giorgi Kurdghelashvili**,*An Approximate Solution of One System of the Singular Integral Equations*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 25, 95-98, Tbilisi University Press, 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.**Archil Papukashvili, Nino Khatiashvili, Jana Bolkvadze**,*On approximate solution of three dimensional mixed boundary value problem of elasticity theory and some of its applications to nanostruqtures*, Proceedings of I.Vekua Institute of Applied Mathematics, Tbilisi 2010. v.59-60, 2009-2010. p.35-42; #GNSF/ST08/3-395, Tbilisi University Press , 2010.**Archil Papukashvili**,*About of one boundary problem solution of antiplane elasticity theory by integral equation methods*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.24, Tbilisi 2010. p. 99-102. , Tbilisi University Press , 2010.**Archil Papukashvili, Giorgi Papukashvili, Bachana Dzagania**,*Numerical calculations of the Kirchhoff nonlinear dynamic beam*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.24, Tbilisi 2010. p. 103-107. , Tbilisi University Press , 2010.**Archil Papukashvili, Gela Manelidze**,*About the approached decision of one boundary problem of the antiplane theory of elasticity by collocation method*, International – Scientific Technical Conference “Problems of building mechanics”. Tbilisi, Georgian Technical University. Tbilisi, June 15-17, 2010. Scientific-Technical Journal “Building”, N 2(17), 2010, p.223-225. , Georgian Technical University Press, 2010.**Archil Papukashvili, Jemal Peradze, Jemal Rogava**,*An approximate algorithm for a Kirchhoff nonlinear dynamic beam equation*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.23, Tbilisi 2009. p. 84-86. , Tbilisi University Press , 2009.**Archil Papukashvili, Gela Manelidze**,*ON APPLICATION OF ALTERNATING TO PERTURBATION TECHNIQUES METHOD TO SINGULAR INTEGRAL EQUATIONS CONTAINING AN IMMOVABLE SINGULARITY.*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.23, Tbilisi 2009. p. 76-79. , Tbilisi University Press , 2009.**Archil Papukashvili, Gela Manelidze**,*Approximate solution of some linear nonhomogeneous operator equations by approach alternative to asymptotic method*, Proceedings of the 2 nd WSEAS International Conference on FINITE DIFFERENCES, FINITE ELEMENTS, FINITE VOLUMES, BOUNDARY ELEMENTS ( F-and-B’09 ). Tbilisi, Georgia, June 26-28, 2009. p.150-153., Published by WSEAS Press, 2009.**Gela Manelidze, Archil Papukashvili**,*About the use of an approach alternative to the asymptotic method for linear nonhomogeneous boundary problems*, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics. v.22, Tbilisi 2008. p. 74-77. , Tbilisi University Press , 2008.**Archil Papukashvili, Gela Manelidze**,*Algorithms of approximate solving of some linear operator equations containing small parameters*, International Journal of Applied Mathematics and Informatics. Issue 4. Volume 2, 2008. p.114-122., Published by WSEAS Press, 2008.**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.**Gela Manelidze, Archil Papukashvili**,*Approximate solution of some Linear Boundary Value Problems by Approach Alternative to Asymptotic Method*, Bulletin of the Georgian National Academy of Sciences, v.174, N 2, 2006. p. 234-237. , Georgian Academy Press, 2006.**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.**Archil Papukashvili, Gela Manelidze**,*On approximate solution of one singular integral equation containing an immovable singularity*, Bulletin of the Georgian Academy of Sciences, v.172, N 3, Tbilisi 2005. p.373-374. , Georgian Academy Press, 2005.**Archil Papukashvili**,*Antiplane problems of theory of elasticity for piecewise-homogeneous orthotropic plane slackened with cracks*, Bulletin of the Georgian Academy of Sciences, 169, N2, Tbilisi, 2004. p.267-270., Georgian Academy Press, 2004.**Archil Papukashvili**,*Unplane problems of theory of elasticity with cracks of slackened piecewise-homogeneous plane*, Reports of enlarged session of the seminar of I.Vekua institute applied mathematics. v.15., N 1-3, Tbilisi, 2000, p.22-24., Tbilisi University Press , 2000.