## Prof. Shalva Mikeladze## (16(29).03.1895, Telavi, - 27.08. 1976, Tbilisi) |

1903-1905 | Pupil of Telavi private school |

1905-1910 | Pupil of Telavi city school |

1910-1915 | Pupil of Baku vocational secondary mechanical and building school |

1915-1916 | Student of Petrograd Electrotechnical Institute |

1916-1917 | Student of Petrograd Military Engineering Higher School |

1920-1929 | Student of physical and mathematical faculty of Tbilisi State University |

1935 | Was awarded Doctor of Science (Phys.-Math) degree by Tbilisi State University |

1935 | Conferred the rank of professor |

1917 | Commander of telegraph platoon of Caucasian engineer batallion (Aleksandropol, Armenia) |

1917-1918 | Chief of military engineering park, 4th Caucasian engineer batallion (Khnis-Kala, Turkey) |

1918-1924 | Commander of telegraph subdivision of engineer battalion; chief of communication unit of 1st Georgian infantry division; commander of separate communications subdivision; inspector of communications course under division (Tbilisi) |

1924-1927 | Technician; chief technician, head of technical bureau of Tbilisi Administration for Electrical Structures |

1927-1929 | Engineer at Zemo Avchala Hydroelectric Power Station |

1929-1932 | Lecturer at: State Polytechnical Institute; Transcaucasian Institute of Transport Engineers; Tbilisi State University |

1932-1933 | Docent of: Tbilisi State University; Transcaucasian Institute of Transport Engineers |

1933-1935 | Was sent to V. A. Steklov Mathematical Institute of Academy of Sciences of USSR (Leningrad) |

1935-1946 | Professor of Institute of Railroad Transport Engineers; head of theoretical mechanics and higher mathematics chair |

1935-1970 | Professor of Tbilisi State University |

1935-1937 | Research specialist; senior research specialist of Tbilisi A. M. Razmadze Mathematical Institute of Academy of Sciences of Georgian SSR |

1937-1976 | Head of computational mathematics department at Tbilisi Mathematical Institute of Academy of Sciences of georgian SSR |

1946-1952 | Professor of Tbilisi A. S. Pushkin Pedagogical Institute; head of mathematical analysis chair |

1944-1952 | Consulting professor of Tbilisi A. V. Vinter Research Institute of Structures and Hydropower Engineering |

1954-1955 | Head of mathematics chair at physical faculty of Tbilisi State University |

1956-1970 | Head of approximate analysis and computing technique chair at mechanical and mathematical faculty of Tbilisi State University |

1962-1967 | Head of computational mathematics problem laboratory under mechanical and mathematical faculty of Tbilisi State University |

1976 | Scientific consultant of mechanics sector of Tbilisi Mathematical Institute of Academy of Sciences of Georgian SSR |

Problems of interpolation and approximation of functions; numerical differentiation and integration; solution of numerical equations; solution of differential and integral equations; methods of approximate solutions of mechanics problems.

- Corresponding Member of the Georgian Academy of Sciences, 1950
- Academician of the Georgian Academy of Sciences, 1960

- Order "The Badge of Honour", 1945, 1965
- Medals: "For Distinguished Labour during the Great Patriotic War 1941-1945", "For a Victory over Germany in the Great Patriotic War 1941-1945", 1945.
- Order of the Red Banner of Labour,1951
- State Prize of USSR, 1952
- Honorary Diploma of Presidium of Supreme of Soviet of Georgian SSR, 1961
- Title of Honoured Scientist of Georgian SSR, 1962
- Medal for Valiant Labour Marking V. I. Lenin's centenary birthday anniversary, 1970 Order of Friendship of Peoples, 1975

1951-1964 | Member of Editorial Board of the "Trudy Tbiliss. Matematicheskogo Instituta" |

- Numerical methods of integration of partial differential
equations. (Russian)
*Izd. Akad. Nauk SSSR, M.-L.*, 1936, pp.108. - Theory and practice of interpolation. (Georgian)
*Izd. Akad. Nauk Gruzin. SSR, Tbilisi*, 1946, pp.393. - Some problems of structural mechanics. (Russian)
*Gostekhizdat, M.-L.*, 1948, pp.267. - Numerical integration. (Russian)
*Uspekhi matem. nauk*(*N.S.*)**3**(1948), No. 6(28), 3-88. - New methods of integration of differential equations
and their application to problems in the theory of elasticity. (Russian)
*Gostekhizdat, M.-L.*, 1951, pp.291. - Numerical methods of mathematical analysis. (Russian)
*Gostekhizdat, Moscow*, 1953, pp.527. - Some problems of structural mechanics. (Chinese)
*Sci. Publ., Peking*, 1956, pp.306. - Numerical methods of mathematical analysis. (Chinese)
*Sci. Publ., Peking*, 1957, pp.638. - Solution of numerical equations. (Russian)
*Metsnieraba, Tbilisi*, 1965, pp.270.

**(ii) Papers**

- Investigation of an equation of the form
*u*. (Georgian)^{m}-pu^{n}-q=0*Izv. Inzhen.-Stroit. Inst. Gruzii,***1**(1932), 83-99. - A note on the Raabe and Schlömilch convergence criteria. (Georgian)
*Izv. Zakavkazsk. Industr. Inst.,***1**(1934), 115-118. - To the question of an approximate solution of an equation by expandion
the root into a series. (Russian)
*Izv. Zakavkazsk. Industr. Inst.,***1**(1934), 21-47. - On the numerical integration of partial differential equations. (Russian)
*Izv. AN SSSR,*(1934), No. 6, 819-842. - On new algorithms of numerical integration of ordinary differential
equations. (Russian)
*Izv. AN SSSR,*(1934), No. 8, 1187-1224. - On the numerical solution of integral equations. (Russian)
*Izv. AN SSSR,*(1935), No. 2, 255-300. - On the roots of a function defined by a differential equation. (Russian)
*Izv. AN SSSR,*(1935), No. 4, 559-586. - On the numerical integration of some differential equations of mathematical
physics. (Russian)
*Trudy II Vsesojuznogo Mat. s'ezda,***2**,L., 1936, 388-393. - On the numerical integration of Laplace and Poisson equations. (Russian)
*Dokl. AN SSSR,***14**(1937), No.4, 181-182. - On the numerical solution of the differential equation
¶
^{2}*u*/¶*x*^{2}+ ¶^{2}*u*/¶*y*^{2}+ ¶^{2}*u*/¶*z*^{2}= j(*x*,*y*,*z*). (Russian)*Dokl.AN SSSR,***14**(1937), No. 4, 177-179. - Investigation of mechanical quadratures formulas. (Russian)
*Trudy Tbiliss. Mat. Inst.,***2**(1937), 43-108. - On a residual term of a series providing some root of the equation
*u*=0. (Georgian)^{m}-pu^{n}-q*Izv. Gruz. Industr. Inst.,***5**(1937), 1-14. - On the numerical solution of Laplace and Poisson differential equations.
(Russian)
*Izv. AN SSSR,*(1938), No. 2, 271-292. - On the integration of differential equations by the difference method.
(Russian)
*Izv. AN SSSR*,(1939), No. 5-6, 627-642. - Generalization of the method of numerical integration of differential
equations by means of mechanical quadrature formulas. (Russian)
*Trudy Tbiliss. Mat. Inst.,***7**(1940), 47-63. - To the question of numerical integration of partial differential
equations by means of nets. (Russian)
*Soobshch. Gruz. Filiala AN SSSR,***1**(1940), No. 4, 249-254. - To the question of solution of boundary value problems by the difference
method. (Russian)
*Dokl. AN SSSR,***28**(1940), No. 5, 401-403. - On the numerical integration of elliptic and parabolic type equations.
(Russian)
*Izv. AN SSSR,***5**(1941), No. 1, 57-74. - On the divided differences with repeated values of the argument.
(Russian)
*Trudy Tbiliss. Mat. Inst.,***9**(1941), 49-60. - On the approximate integration of linear differential equations with
discontinuous coefficients.(Russian)
*Soobshch. AN GSSR*,**3**(1942 ), No. 7 , 633 - 639 . - Quadrature formulas using differences.(Russian)
*Soobshch. AN GSSR*,**3**(1942 ), No. 10 , 1001 - 1003 . - New formulas for the numerical integration of differential equations.
(Russian)
*Soobshch. AN GSSR*,**4**(1943 ), No. 3 ,215 - 218 . - On formulas for mechanical cubatures, containing partial derivatives
of the integrand.(Russian)
*Soobshch. AN GSSR*,**4**(1943 ), No. 4 , 297 - 300 . - New finite difference equations for the computation of rectangular
plates, freely supported along the boundaries. (Russian)
*Soobshch. AN GSSR*,**4**(1943 ), No. 8 , 737 - 744 . - On the problem of longitudinal bending of rectlinear bars within the
limits of elasticity. (Russian)
*Trudy Tbiliss. Mat. Inst.,***12**(1943), 175-213. - On the numerical integration of a function depending on a parameter.
(Georgian)
*Soobshch. AN GSSR*,**5**(1944 ), No. 6 , 575 - 583 . - On a method of numerical differentiation. (Georgian)
*Soobshch. AN GSSR*,**5**( 1944 ), No. 7 , 663-666. - A new method for the calculation of the trajectory of the center
of gravity of a projectile. (Georgian)
*Soobshch. AN GSSR*,**5**( 1944 ), No. 9 , 861-865. - Application of a formula of numerical differentiation to the calculation
of the trajectory of the center of gravity of an artillery schell.
(Georgian)
*Soobshch. AN GSSR*,**5**(1944 ), No. 10 , 959-964 . - An approximate method for the integration of the differential equation
for the bending of a beam. (Georgian)
*Soobshch. AN GSSR*,**6**(1945 ), No. 2 , 97-104. - On numerical integration. (Russian)
*Doklady AN SSSR,***49**(1945), No.3, 167-168. - On the subtabulation of matematical tables. (Georgian)
*Soobshch. AN GSSR*,**6**( 1945 ), No. 6 , 397-405 . - On a process of interpolation for functions of two variables.
(Georgian)
*Soobshch. AN GSSR*,**6**( 1945 ), No. 7 , 503-509 . - General equation of elastic line of a beam. (Russian)
*Doklady AN SSSR,***50**(1945), No...., 117-119. - Solution of boundary value problems by means of the generalized Maclaurin
formula. (Russian)
*Dokl. AN SSSR,***52**(1946), No. 9, 759-761. - Investigation of the bending of a bar, taking into account the influence
of shifts on bendings. (Russian)
*Soobshch. AN GSSR*,**7**( 1946 ), No. 8 , 529-533 . - A new method of calculating non-cut beams. (Russian)
*Soobshch. AN GSSR*,**7**( 1946 ), No. 9-10 , 627-632. - Discontinuous solutions of ordinary linear differential equations. (Russian)
*Dokl. AN SSSR,***55**(1947), No. 9, 801-804. - Discontinuous solutions of differential equations and their application
to calculating elements of bar deformation. (Russian)
*Trudy Tbiliss. Gosud. Pedagogich. Inst.,***4**(1947), 1-16. - On the evaluation of determinants whose elements are polinomials.
(Russian)
*AN SSSR. Prikl. Mat. Meh.,***12**(1948), No.2, 219-222. - Longitudinal-transverse bending of a beam on an elastic foundation.
(Russian)
*Doklady AN SSSR,***59**(1948), No.3, 451-454. - New formulas for the numerical integration of differential equations.
(Russian)
*Doklady AN SSSR,***61**(1948), No.5, 789-790. - New quadrature formulas and their application to the integration of
differential equations. (Russian)
*Doklady AN SSSR,***61**(1948), No.4, 613-615. - A new formula for the numerical solution of a Poisson equation. (Russian)
*Trudy Tbiliss. Gosud. Pedagogich. Inst.,***5**(1948), 1-5. - The numerical integration of differential equations by means of
summation formulas. (Russian)
*Doklady AN SSSR,***65**(1949), No.2, 125-128. - A new method for the solution of characteristic value problems.
(Russian)
*Doklady AN SSSR,***66**(1949), No.4, 553-556. - A new integral method of solution of boundary problems. (Russian)
*Soobshch. AN GSSR*,**12**( 1951), No. 7 , 393-396 . - On approximate solution of integral equations of Volterra type.
(Russian)
*Trudy Tbiliss. Mat. Inst.,***18**(1951), 315-325. - A new method of approximate calculation of a critical force. (Russian)
*Izv. Tbil. Nauchno-Issled. Inst. Sooruzhenii i Gidroenergetiki,***4**(1951), 47-56. - Approximate formulas for multiple integrals. (Russian)
*Soobshch. AN GSSR*,**13**( 1952 ), No. 4 , 193-200 . - Numerical solution of boundary problems for nonlinear ordinary
differential equations. (Georgian)
*Soobshch. AN GSSR*,**14**( 1953 ), No. 3 , 133-137 . - Stability of a rectangular plate of variable thickness at uniaxial
stressed state. (Russian)
*Trudy Tbiliss. Mat. Inst.,***19**(1953), 211-224. - On the theory of construction of interpolation formulas. (Russian)
*Doklady AN SSSR,***90**(1953), No.4, 503-506. - Expansion of the finite difference of a function in differences of its
derivative. (Russian)
*Doklady AN SSSR,***92**(1953), No.3, 479-482. - Approximate formulae for repeated integrals. (Russian)
*Trudy Voyenno-Morskoi Akademii Korablestroyeniya i Vooruzheniya im. A. N. Krilova (Proc. A. N. Krilov Milit. Navy Ship-Building and Weaponry Acad.) (Jubilee collected works dedicated to the 90th birthday anniversary of A. N. Krilov),*(1953), vyp. 6, L., 115-120. - On approximate solution of Cauchy's problem. (Russian)
*AN SSSR. Prikl. Mat. Meh.,***18**(1954), No.2, 245-249. - Remarks on the theory of discontinuous solutions of ordinary differential
equations. (Russian)
*Soobshch. AN GSSR*,**15**( 1954 ), No. 10 , 647-654 . - On discontinuous solutions of ordinary quasi-differential equations.
(Russian)
*Doklady AN SSSR,***105**(1955), No.4, 641-644. - Numerical solution of the inhomogeneous polyharmonic equation. (Russian)
*Inzhen. Sb.,***23**(1956), 190-202. - Numerical integration of differential equations in the complex plane.
(Russian)
*Soobshch. AN GSSR*,**17**( 1956 ), No. 2 , 97-102 . - Formulas of mechanical quadratures for multiple integrals. (Russian)
*Trudy Tbiliss. Mat. Inst.,***22**(1956), 277-299. - On one review and its accompanying comment. (Russian)
*Trudy Tbiliss. Mat. Inst.,***22**(1956), 319-338. - Quadrature formulas for a regular function. (Russian)
*Soobshch. AN GSSR*,**17**(1956 ), No. 4 , 289-296 . - Approximate formulas for the multiple integral of a regular function.
(Russian)
*Soobshch. AN GSSR*,**17**(1956 ), No. 7 , 577-584 . - On one review and its accompanying comment. (Russian)
*Uspekhi Mat. Nauk,***11**(1956), vip. 3(69), 241-242. (an abridged version of Sh. E. Mikeladze's letter published in*Trudy Tbiliss. Mat. Inst.,***22**(1956), 319-338). - Formulae of numerical differentiation and integration of a function.
(Russian)
*Trudy III Vsesojuznogo Mat. s'ezda,*Moscow, 1956.*Abstracts of section reports. M., Izd.AN SSSR,***II**(1956), 151-152. - Quadrature formulas for multiple integrals with the greatest possible
degree of accuracy. (Russian)
*Soobshch. AN GSSR*,**18**( 1957 ), No. 1 , 3-10 . - Numerical differentiation in complex region. (Russian)
*Soobshch. AN GSSR*,**18**(1957 ), No. 4 , 385-392 . - Approximate solution of a system of non-linear equations. (Russian)
*Soobshch. AN GSSR*,**20**(1958 ), No. 6 , 647-653 . - Some iterations of higher order. (Russian)
*Soobshch. AN GSSR*,**22**(1959 ), No. 3 , 257-264 . - A general method for numerical solution of differential equations.
(Russian)
*Soobshch. AN GSSR*,**22**( 1959 ), No. 5 , 513-518 . - The method of variation of parameters in the solution of equations.
(Russian)
*Soobshch. AN GSSR*,**23**( 1959 ), No. 1 , 3-9 . - Boundary-value problems and eigenvalue problems for quasi-differential
equations. (Russian)
*Trudy Tbiliss. Mat. Inst.,***26**(1959), 241-261. - Numerical solution of ordinary differential equations by polynomials.
(Russian)
*Trudy Tbiliss. Mat. Inst.,***26**(1959), 263-284. - Solution of trinomial equations. (Russian)
*Trudy Tbiliss. Univ.,***76**(1959), 191-225. - Numerical solution of a heat-transfer equation. (Russian)
*Trudy Tbiliss. Mat. Inst.,***27**(1960), 367-410. - Formulas for numerical differentiation. (Russian)
*Soobshch. AN GSSR*,**27**( 1961 ), No. 6 , 657-662 . - An application of Bernstein polynomials to a problem in structural
mechanics. (Russian)
*Trudy Tbiliss. Mat. Inst.,***28**(1962), 107-121. - A certain formula and its applications to the numerical solution of
ordinary linear second-order differential equations. (Russian)
*Trudy Tbiliss. Mat. Inst.,***29**(1963), 283-305. - A new numerical method of solution of ordinary differential equations.
(Russian)
*Soobshch. AN GSSR*,**45**( 1967 ), No. 2 , 289-296 . - Numerical solution of boundary problems for ordinary differential
equations in the general case. (Russian)
*Soobshch. AN GSSR*,**47**( 1967 ), No. 2 , 263-268. - The numerical solution of eigenvalue problems for ordinary linear
differential equations with variable coefficients. (Russian)
*Soobshch. AN GSSR*,**49**( 1968 ), No. 2 , 257-262 . - The numerical solution of nonlinear differential equations which depend
on a parameter. (Russian)
*Soobshch. AN GSSR*,**52**(1968), No. 1 , 21-26. - Numerical solution of multipoint boundary value problems for ordinary
nonlinear differential equations. (Russian)
*Soobshch. AN GSSR*,**53**( 1969 ), No. 2 , 269-272. - Discontinuous solutions of ordinary differential equations. (Russian)
*Soobshch. AN GSSR*,**59**( 1970 ), No. 2 , 269-272 . - Construction of discontinuous solutions of linear differential equations
for multipoint boundary value problems. (Russian)
*Soobshch. AN GSSR*,**67**(1972 ), No. 3 , 529-532. - An eigenvalue problem for
*n*'th order linear differential equations. (Russian)*Soobshch. AN GSSR*,**76**( 1974 ), No. 1 , 45-48. - On the estimation of the remainder term of the expansion of a piecewise
continuous function with piecewise continuous derivatives. (Russian)
*Soobshch. AN GSSR*,**79**( 1975), No. 3 , 541-544. - Numerical solution of partial differential equations and integral
equations. (Russian)
*Selected papers,*V. 1,*Metsniereba, Tbilisi*, 1979, pp.328. - Numerical analysis and theory of ordinary differential equations.(Russian)
*Selected papers,*V. 2,*Metsniereba, Tbilisi*, 1980, pp.331.

- Georgian Soviet Encyclopaedia, v. 7, 1984 (Georgian)
- Tbilisi University 1918-1968. Tbilisi University Press, Tbilisi, 1968 (Russian)
- Mathematics in the USSR for 40 Years. 1917 - 1957 (Russian). V. 2, Gos. Izd. Fiz.-Mat. Liter., 1959.
- Mathematics in the USSR. 1958-1967. V. 2, Nauka, Moscow, 1970.
- Mathematics in the USSR for 30 Years. 1917-1947. V. 2. Gos. Izd. Telhniko-Teoretich. Lit., Moscow-Leningrad, 1948.
- An Essay on the History of Soviet Georgian Science for 25 Years. Izd. AN GSSR, Tbilisi, 1946 (Russian)
- Science in Soviet Georgia for 40 Years. Izd. AN GSSR, Tbilisi, 1961.
- T. Ebanoidze. Essays on Georgian Mathematicians. Tbilisi, Metsniereba, 1981. (Georgian)
- History of the Native Mathematics. Naukova Dumka, Kiev, v. 3, 1968, v. 4 1970 (Russian)