Selected Publications
1.
On the
Solution of Multipoint Boundary Value Problems for Ordinary Differentia equations,
Abstr. Reports of Student’s Conference, Tbilisi University Press 1959, p. 3.
2.
On
Multipoint Linear Boundary Value Problem. Bulletin of
3.
To
Numerical Solution of Boundary Value Problems, Jurnal Vichislitelnoi Matematiki
i Matematicheskoi Fiziki, Vol.4. No.4, 1964, pp. 623-637.
4.
On the
Numerical Solution of Some Boundary Value Problems for Ordinary Differential
Equations. Abstracts of the Ph.D. Thesis.
5.
A
Generalized Finite-Difference Method. Differentsial’nie Uravnenia, Vol.2, No5, 1966, pp.614-618.
6.
To the
Numerical Application of Boundary Value Problems. Bulletin of
7.
Numerical
Solution of Some Boundary Value Problems for Differential- Difference Equations. Materials of II All-Union
Conference in the Theory of Differential Equations with Deviating Argument and
Applications, Chernovtsi, 1968, pp. 29-30.
8.
Observation
of Factorization method.
9.
To Some
Optimal Algorithms,Proceeding of Institute of Applied Math., Tbilisi University
Press Vol.1, 1969, pp.3-16.
10. Observation of Numerical Realization of Ritz’s
Method. Seminar of Institute of Applied
Math. Tbilisi Univ, Press, Vol.2, 1970, pp.31-33.
11. On Some Variational-Difference Schemes for the
Equations of Prismatic Shells. Materials of the
I Scientific Session of Institute of Applied Mathematics, Tbilisi
Univ.Press,1970, p.40. (D. Antidze, K. Purusladze).
12. Numerical Realization of Variational Difference
Method for Dirichlet Problem. Bulletin of
13. On Approximate Solution of the Boundary Value
Problem for Biharmonic Equation. Materials of the II Scientific Session,
Tbilisi Univ.Press,1970, pp.40-41. (I. Gongadze).
14. On One application of the Generalized Factorization
Method. III Republic Conference of Mathematicians
of Byelorussia,
15. On Approximate Method of Solving Some Problems
of Mathematical Physics. Symposium on Continuum Mechanics and Related Problems
of Analysis, Annotations of Reports,
16. To the Numerical Realization of Boundary Value
Problem for the Equations of Plane Theory of
Elasticity. Investigations of Some Differential Equations of Mathematical
Physics,
17. On the Application of one Numerical Process for
Dirichlet Problem of the Shell Theory. VI Inter. Congress of Mathematics,
Wissenschaft Z. Hochschule Architectur and Baumwesen,
18. Generalized Factorization Method and Its
Application for Numerical Solution of Some problems of Mathematical Physics.
Proceedings of Symp. Continuum Mechanics
and Related Problems of Analysis,
19. Three-Point Operator Equations of the Shell
Theory. Seminar of Institute of.
Applied. Mathematics. Annotations of Reports, 8, 1973, pp. 23-27.
20. On Convergence of Iterative Method for One
Class of the Operator Equations. Bulletin of
21. On
22. To the Realization of Generalized Factorization
Method on Computers.The Approximate Methods of Solution of Problems of Math. Physics. Works Collection.
Tbilisi University Press, 1975, pp.39-49 (Editors L. Magnaradze / T.
Vashakmadze) (with G. Latsabidze).
23. On One Discrete-Analytical Method of Solving
Parabolic Equations.The Approximate
Methods of Solution of Problems of Math. Physics. Works Collection. Tbilisi
University Press, 1975, pp.51-55. (with J.Rogava).
24. Some Numerical Methods of Solving Boundary
Value Problems for Shells and Plates. Materials of the
25. To the Design of Elastic Shells of Variable
Thickness. Proceeding of 10-th All-Union Conference in the Theory of Shells and
Plates.
26. Some Numerical Processes of Solution of BVP of
3D Theory of Elasticity. VII Congress IKM,
27. On
28. On Constructing of General Solutions of
29. Some Problems of Definition of Efforts in
Statical Undefinable Prestrainded Construction. X Jubilee All-Union Session of
Sci.Research Inst.of Constuction of
30. Application of the Variational - Difference and
Summary- Approximation Methods for the Solution of Some Problems of the Shell
Theory. III Intern. Symposium in Shell Theory, Abstracts of Reports,
31. An Investigation of Vekua’s Operator of the
Theory of Elastic Shells. Complex Analysis and it’s Applications,
32. On the Application of Orthogonal Polynomials in
the Theory of Elasticity. Sixth International Conference on Numerical Methods in
Fluid Dynamics, Proc. Conf., Tbilisi, 1978, pp. 53-57.
33. On Vekua Reduction Method of Differential
Equations of Continuum Mechanics for Unbounded Domains. Uspekhi
Matematicheskikh Nauk, Vol.34, No3,
1979, pp.157-158.
34. Employment of R-Technology to Construction
of Packages of Applied Programs.
Operation Systems and Technology of Programs. Glushkov Institute of Cybernetic,
35. On the Application of Orthogonal Polynomials in
the Theory of Elasticity. Lecture Notes in Physics, 90,1980, pp.537-541.
36. On Appl. Of
a Variational-Difference Method to the Solution of Some Shell Theory
Problems. The Shell Theory. North-Holland
Publ., 1980, pp. 575-581.
37. On Some Numerical Processes of Solving Linear
Problems of Theory of Elasticity. Materials of 4-th All-Union Conference of Variational- Difference Methods
in Math. Physics, Comp. Centre of Siberian Division of
38. 3D Stress-State of Plate at the Neighborhood of
the Intersection of Developing Entry and Lava. Prikladnaia Mekhanika, Vol.17,
No 8, 1981, pp. 36-41 (with E.Gotsuliak,
V.Tkachenko, D. Chernopiski)
39. To Transition Error Estimation from Some 3D.
Problems of Elasticity Theory to Some 2D Models. Seminar of VIAM, Reports,
Vol.15, 1981, pp. 57-66.
40. On the Accuracy of Approximation of a Problem
of Elasticity Theory. Soviet Math. Dokl., Vol. 24, No 3, 1981, pp. 586-570.
41. On the Accuracy of Approximation of Some BVP of
3D Theory of Elasticity by 2Dl Problems,Uspekhi Matematicheskikh Nauk,Vol. 37, Iss.
4, 1982, p. 119.
42. Package of Applied Programs of Design of
Spatial Structures.
43. On Some Numerical Processes of Solutions of Problems of Theory of Elasticity
and Shell Theory. Scientific Foundations Technics of Machins .Abstracts of Reports of Meeting of
Problems Commision of Academy of Sciences of Socialists Countries (SEV),
44. On Investigation of Some Problems of Shells and
Plates Theory. XIII All-Union Conference
in Shells and Plates Theory, Tallin, Vol. 1, 1983, pp.175-180. (with T. Meunargia).
45. On the Construction of Refined Theories of
Anisotropic Plates. Seminar of Viam, Reports, 17, 1983, pp.18-24.
46. On the Construction of Refined Theories of
Anisotropic Plates. Deduced Exactly from the 3-Dim Theory, Meccanica, 1983.
47. To Justification of Two-Dimensional Models
Corresponding to the Problems of Spatial Theory of Elasticity.
48. To the Constructing of the Refined Theory of Plates and Choosing Optimal
Model. X Inter.Kongress uber Anwend.Mathematik In Baumwesen. Berichte 6,
49. On the Theory of Plates. Seminar of Viam,
Reports, No18, 1984, pp.6-17.
50. Some Mathematical Problems of the Plate’s
Theory. Reports of All-Union Meeting-Seminar.
51. Design of Mix Problems for the Elastic
Orthotropic Plate. 1985, pp.62-63. (with E.Gotsuliak, A. Papukashvili, D. Chernopiski).
52. To the Construction of Refined Theories of
Non-Homogeneous (Continious) Layer Plates of Variable Thickness. V All-Union
Conference in Statics and Dynamics of Spatial Construction,
53. To the Theory of Elastic Plates. Seminar of
Viam, Reports, No.19, 1985, pp. 55-62.
54. On Korn Type Inequality and Problem of
Justification of Refined Theories for Elastic Plates. Lecture Notes in
Physics,249, 1986, pp. 487-491.
55. Numerical Experiment of Design of Problems of
Spatial Theory of Elasticity for
Orthotropic
56. To the Theory of the Elastic Plates with
Variable Thickness. Reports of Enlarged Sessions of Seminar of VIAM, Vol. 2,
No2, 1986, pp. 29-31.
57. Investigation of Some Problems of Plates and
Shells Based on Vekua Theory.
Differential Equations in
Partial Derivatives and Its Applications,
Tbilisi University Press ,1986, pp.163-165. (with T. Meunargia).
58. On Two-Dimensional Models of Vekua-Laguerre
type for the Problems of Sant-Venant. Reports of Enlarged Sessions of Seminar
of VIAM, Vol. 2, No 3, 1986, pp.16-19.
59. Some Problems of Mathematical Theory of
Anisotropic Elastic Plates.
60. To Vekua Theory of Elastic Plates. Seminar of
VIAM, Reports 20, 1986, pp.15-22.
61. Method of Computation Piezoelectric and
Electrically Conductive Elastic Plates. Effective Numerical Methods of Solving
Boundary Value Problems of Solid Mechanics, Ukrainian Perublic Coference, Kharkov Ingineering Institute ,1986, p.44.
62. To Vekua Theory of Elastic Plates and Shells.
Annotations of Reports of All-Union Symposium “Modern Problems in
Mathematical Physics”, 1987, p.9.
63. Some Mathematical Problems of the Theory of
Plates and Shells. XIV All-Union
Conference in Plates and
64. To the Mathematical Theory of Elastic Plates.
Materials of VI All-Union Conference in Composite Materials, Yerevan Vol.2,
1987, p.64.
65. Solution of the Basic Problems of the Theory of
Elasticity for the Solids with Cylindrical Shape.
66. To Vekua Theory of Elastic Plates and Shells. Reports
of All-Union Symposium “Modern Problems in Mathematical Physics”, Vol.2, 1987, pp. 200-207.
67. The Theory of Elastic Plates. Uspekhi Mekhaniki
, Vol. 11 , No 3, 1988, pp. 35-74.
68. On the Problem of Constructing the Mathematical
Theory of Plates and Shells. Lecture Notes in Physics. Trends in Appl. Math. to
Mech..1988, pp. 273-279.
69. To the Mathematical Theory of Piezoelectric and
Electrically Conductive Elastic Materials. Reports Enlarged Sessions of VIAM.
Vol. 4, No 2, 1989, pp. 49-52.
70. Variational Methods of Solving Some Boundary
Value Problems of Magneto- Piezo-elasticity.Jubilee Conference:”Statics and
Dynamics of Thinwalled Construction”,
Georgia Academy of Sciences, 1990, pp.16-17.
71. Mathematical Modeling of Some Problems for
Elastic Plates. Longman Publ: Geomertical Function Theory & Appl.Complex
Analyses in Mech. 1991, pp.176-185.
72. On Mathematical Theory of Piezoelectrically and
Electrically Conductive Elastic Plates. Longman: Trends in Appl. Math. To Mech.
1991, pp. 236-241.
73. Some Problems of Computational Mechanics in the
Theory of Elasticity. Computational Mechanics in Solids,Journal,
74. Some Mathematical Problems of Magneto-
Piezo-Elasticity. Abstracts of Inter. Symp. On the Appl. Of Electromagnetic
Forces,
75. To Variatial Methods of Solving Some Problems
of Magneto-Piezo-Elasticity, Abstracts of Inrer.Conference:Continuum Mechanics
and Related Problems Of Analysis,Dedicated to 100 Years of Academician of
Muskhelishvili, Metsniereba, 1991, p.122.
76. Some Problems of Comp. Mechanics in Mechanics
of Solids, Proceedings of VIAM, Vol. 44, 1992, pp. 5-34.
77. Some Mathematical Problems of
Magneto-Piezo-Elasticity. Journal Electromagnetic Forces and Applications (Suplemento),Elsevier,
1992, pp.411-414.
78. On Numerical Solution of BVP for Combined
Propulsion Unit. Reports of Enlarges.
79. Memoirs and Letters,Dedicated to Andrew
Razmadze,
80. On Homogeneity of Vekua Theory of Plates and
Shells. Reports of Enlarged Sessions of VIAM Seminar, Vol.8, No2, 1993, pp.107-110,
(with Tamara Vashakmadze).
81. Some Mathematical Problems of Theory of
Nonlinear Elasticity. Abstracts of Reports STAMM-94, Lisboa, 1994, pp. 21-22.
82. Some Non-Stationary Problems of Elastothermo
Mechanics. Abstracts of XXI Yugoslav Congress, 1995, p.98. (with T.Burchuladze).
83. Some Non-Stationary Problems of Elastothermo
Mechanics. Thesis of Reports of All-Union Conference. Modern Problems of Solid
Media Mechanichs, 1995, pp.6-7. (with T.Burchuladze)
84. On Accuracy of Approximation and Homogenization
Method in the Theory of Elasticity. Abstracts of Reports of
Inter.Conference:”Functional Spaces,Approximate Theory Nonlinear
Analysis”,Dedicated to Aniversary of Academician Nikolskii.M.:Steklov
Mathem.Insttitute RAS, 1995, pp.73-74.
85. Some Mathematical Problems of Theory of
Nonlinear Elasticity. Longman: Trends in Appl. Math to Mech. Vol.77, 1995, pp. 348-357.
86. Some Mathematical Problems of the Theory of
Shells. Modern Problems of Continium Media,Rostov/Don:Kniga, 1995, pp .47-54.
87. Some Non-Stationary Problems of
Elasto-Thermo-Mechanics (to Mathem. Problems of Elasto-Thermo Mechanics and
Homogeneity of Some Boundary Value Problems). Abstracts of STAMM-95, Warshow,
1995, p.112. (with T.Burchuladze).
88. To the Analyses of Numerical Methods of Solving
Boundary Value Problems with Small Parameter. Applied Math. And Informatics. Vol.1, 1996, pp.180-144.) (with
A.Muradova).
89. On von Karman- Reissner Type Models. Reports of
Conference in Solids.Modern Problems of Continium Media,Rostov/Don:Kniga,
Vol.2, 1996, pp.32-37.
90. Some Problems of Computational Mechanics of
Rigid Deformed Body.
91. Theory of Anisotropic Elastic Plates (To
Analyses of Mathematical Theories). 300 p. (manuscript, see 90).
92. Some Mathematical Problems of the Theory
of Nonlinear Elasticity. YUSTAM XXII,
Beograd 97,Vrianchka Bania, 1997, 8p.
93. To Design of
Shearing Forces for Elastic Plates. Bulletin of TICMI, vol. I, 1997, 8p.
(with A. Muradova).
94. Some Mathematical Problems of the Theory of
Elastic Plates with Variable Thickness. Reports of Enlarged Sessions of Seminar
of VIAM, Vol. 12, No2, 1997, 6p.
95. On the Construction of a Mathematical Theory of
Anisotropic Nonhomogeneous Elastic Plates and Shells (Lectures for: Advanced
Courses of Theory of Elasticity 16-25
September 1997, TICMI, Vol. 1), Newsletter, N23 Europian Math. Soc.
96. Some New Mathematical Problems of the Theory of
Nonlinear Elasticity.Proceedings of
97. Variational Formulation for Refined Theories
Generalized Helliger-Reissner Variational Principle. Bulletin of TICMI Vol.2,
1998, pp.13-16.
98. To Design of Some Bending Problems. Reports of
Enlarged Sessions of Seminar of VIAM, Vol.13, No4 1998, pp.24-27. (with A.
Muradova, K.Chkhaidze).
99. Applied Mathematics and Computer Sciences,
Jubilee Collection of Works:
100. On the Eigenvalue and Eigenfunctions
Computation for Some Problems of Elastic Plate Theory. Reports of Enlarged
Sessions of Seminar of VIAM, Vol.14, No2, 1999, pp.38-41 (with A. Muradova).
101. The Theory of Anisotropic Elastic Plates.
Kluwer Academic Publishers,Dortrecht/ Boston/London, 1999, xv+240p.
102. To Justification of von Karman System and Mathematical
Modeling of Poro-Elastoic Media, Izvestia
Visshikh Uchebnikh Zavedenii,North-Caucasion Region,Natural Sci, Vol. 3(111), 2000,
(with R.Gilbert).
103. Two-Dimensional Nonlinear Theory of Anisotropic
Plates. Mathematical and Computer Modeling, Vol. 32, Issue 7-8, 2000, pp. 855-875.
(with R.Gilbert).
104. To Justification of von Karman Equations and Mathematical
Modeling of Poroelastic Media. Abstract of the Seventh Russian-Japanese
Symposium on CFD,
105. New Technology of Design of Some BVP for ODE.
Proceed.
106. To von Karman-Reissner Type Equations and
Mathematical Modeling of Poro-Elasto-Plastic Media. Proceed.
107. Some Mathematical Problems for Anisotropic
Thin-Walled Structures. Meeting of Georgian Mathematicians. Thesis of Reports,
2001, p. 40.
108. Some Problems of Poroelasticity. DEMP- 2001,
Section 2.
109. 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.
110. To Justification of von Karman-Reissner- Ambartsumian
Type Equations and Some Refined Models of Elasto-Plastic Shells.Problems
of Mechanics of Thin-walled Deformed Bodies.
Proceedings of Works Dedicated to 80-th Anniversary of Acad. S. Ambartsumian.
Inst. Mech. of SA
111. Mathematical Theory of Elastic
Plates,Manuscript, 80p (Course of Lectures).
112. Course of Lectures in Numerical Methods of
Linear Algebra Manuscript, 80p (Course of Lectures).
113. Theory and Application of Spline Functions.
Manuscript. 70p (Course of Lectures).
114. To Teaching of New Technology of Design of Some
Problems for ODE in High School. Inter. Conf. Teaching Math.-2,
115. Some Mathematical Problems of Poroelasticity:
Modeling, Analysis, Design and Its Applications. Bulletin of TICMI, v. 6, 2002,
pp.1-4.
116. To Dynamical Problems of 3Dim Anisotropic
Theory of Elasticity. Proceeding TSU Appl. Math & Comp.
Sci.vol.22-23,2002-2003, pp.115-120.
117. 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 (with T. Meunargia, R. Janjgava).
118. To Construct of Refined Theories Without
Simplifying Assumptions for Elasto-Plastic Media Proceed.
119. On Construction and Justification of von
Karman-Reissner Type Equations for Binary Mixture of the Elastic Plates.
Proceedings, 1(447),
120. On Construction and Justification of Systems of
von Karman-Reissner Mixture of Piezo-Elastic Plates. Materials of HERSMA-2003 (with
V. Kondratiev).
121. Computation Knowledge. Scientific and Cultural
Heritage of the Bagrationis.
122. To Some Thermo-Dynamical Nonlinear Spatial
Problems of Piezo-Poro-Elasticity for Binary Mixture, DEMPh-2003, Sect.2.
123. Construction and Justification von KMR
type systems for Binary Mixture of Poro-Piezo-Elastic Media.MCMAT, Louisiana
State University, 2004.
124. On Constuction and Justification of Systems of
von Karman type for Binary Mixture of Piezo-Elastic Plates,"The Fourth
Okunev's Readings",Symp."Poincare and nonlinear Mechanics"22-25
June2004,
125. On construction and justification
of systems of von Karman type for binary mixture of piezo-elaqtric plates. GESJ:Computer Sciences and
Telecommunications, N 1(5),2005,53-64
gesj.internet-academy.org.ge/en/editboard_en.php?b_sec=comp
126. New Technologies of Design of
Some Boundary Value Problems for Ordinary Differential equations,GESJ:Computer Sciences&Telecommunications, N 2(6),
2005 (with
gesj.internet-academy.org.ge/en/editboard_en.php?b_sec=comp
127. To the new treatment for some
poro-elastic thinwalled structures,J.Georgian Geophysical Society, Issue A, vol.
9A,
128. To governing systems of equations of continuum
mechanics. J.Georgian Geophysical Society,Issue A,vol. 9A,
129. A new treatment for some thin-walled structures
of poro-elastic media and governing systems of equations in continuum
mechanics, Rendiconti,Memorie di Mathematica e
Applicazioni, Vol.124, Acc. XL, 213-226.
130. Mathematical Models for some thin-walled solid
structures and projective methods for their solution, Actual
appearances of physical and mathematical investigations. Mechanics.
131. Some mathematical problems of nonlinear
mechanics. International conference “Non- classical
problems of mechanics”, 25-27.10.2007,
132. araerTgvarovani wrfivi
sasazRvro amocanebis miaxloebiT amoxsna asimptoturi meTodis alternatuli
meTodiT. saerTaSoriso konferencia “meqanikis araklasikuri amocanebi.”25-27.10.2007,
quTaisi,
saqarTvelo, t.II, 85-90 (Tanaavtorebi g. maneliZe, a. papukaSvili).
133. To calculation of classical orthogonal polynomials. Abstracts. ISAAC Conference,23-27 April, 2007,
134. To calculation of classical orthogonal polynomials. ISAAC Conference, 23-27 April, 2007,
135.
New
mathematical models for thin-walled structures and projective methods for their
solutions Abstracts. ISAAC Conference, 23-27 April, 2007, Tbilisi, Georgia, Dedicated
to the Centerary I. Vekua (with R. Eving, R. Lazarov, V. Makarov),
www.viam.science.tsu.ge/others/ticmi/vekua100/abstracts.htm
136. New mathematical models for thin-walled structures
and projective methods for their solutions. ISAAC Conference,23-27 April, 2007,
137. 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, 23-27 April, 2007, Tbilisi, Ilia Vekua-100, Book of Abstracts, 2007, 53-54. http://www.viam.science.tsu.ge/others/ticmi/iutam/abstracts.pdf
138. Basic systems of equations of continuum
mechanics and some mathematical problems for anisotropic thin-walled
structures, International Conference Mech.Ballistics “6th
Okunev’s Readings “, Russia , Sankt-Peterburg,June,2008 Programm and Abstracts
of Invited Reports, 2007.
139.
On construction and justification of systems of von Karman type for
binary mixture of piezo-elaqtric plates, Proceed.Inter.Conference “The Fourth Okunev’s
140. 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,Proceedings of IUTAM Symposium ,23-27
April,2007,Tbilisi,Ilia Vekua-100, Springer-Verlag, 2007-2008, 209-218.
141. Basic systems of equations of continuum
mechanics and refined theories for thin- walled visco- elastic structures.Труды международной конференции: Актуальные проблемы механики сплошной среды. Ереван, 2007, 500-504. www.mechins.sci.am/CONFERENCES/Conference-Nagush-Harutunyan-100/Abstracts.html
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91k
142. Basic systems of equations of continuum
mechanics and some mathematical problems for anisotropic thin-walled
structures, Proceedings of International Conference
Mech.Ballistics “6th Okunev’s Readings”,Russia,St-Peterburg, June, 2008, (in appear),10 p.
143. SoTa maWaraSvilis statia: “inovacia, romelic safreni aparatis konstruqciis
saimedoobas mniSvnelonad zrdis” orenovan (qarTuli da ukrainul) JurnalSi “Cemi
qveynis prezidenti” 5, VII, 2005, 9-11.
144. J.Georgian Geophysical Society, Issue
A, vol. 9A, Tbilisi, 2005-Si statia “Book Review”, 121-123
dabeWdilia (redaqciis mier igi Seexeba Cemi Sromebis
analizsa da kanonzomierebis dadgenis dadasturebas).
145. On a Remark to a Law of Natural Sciences.
Bulletin of TICMI, vol. 10, 2006 http://www.viam.science.tsu.ge/others/ticmi/iutam/abstracts.pdf
146. uwyveti garemos meqanikis
erTi kanonis Sesaxeb (plenaruli), maTematikosTa IV yriloba, 14-16, noemberi, 2005.
147. uZravi singularobis
Semcveli integraluri gantolebis miaxloebiTi amoxsnis Sesaxeb maTematikosTa IV yriloba, 14-16 nomberi, 2005 (a. papukaSvilTan, s. burjanaZesTan,
g. maneliZesa da e. yifianTan erTad).