Education: graduated from Physical Faculty, Moscow
State University (1968), Ph.D.(Phys., Math.)(1971), Doctor of Physics and
Mathematics (1982).
Publications: author, coauthor of more than 190
publications, including 7 monographs within mathematical physics and applied
mathematics, amongst them:
Goncharsky A.V., Cherepashchuk A.M.,
Yagola A.G. Numerical methods for the solution
of inverse problems of astrophysics (monograph).
1978, Nauka, Moscow (in Russian).
Tikhonov A.N., Goncharsky A.V.,
Stepanov V.V., Yagola A.G.
Regularizing algorithms and apriori information (monograph), 1983, Nauka,
Moscow (in Russian).
Goncharsky A.V., Cherepashchuk A.M.,
Yagola A.G. Ill-posed problems of astrophysics (monograph).
1985, Nauka, Moscow (in Russian).
Tikhonov A.N., Goncharsky A.V.,
Stepanov V.V., Yagola A.G.
Numerical methods for the solution of ill-posed problems (monograph).
1990, Nauka, Moscow (in Russian); 1995, Kluwer Academic Publishers,
Dordrecht (in English);
2000, Mercury-Smekal, Kosice (in Slovak).
Rusov V.D., Babikova Yu.F., Yagola A.G.
Image restoration in electronic microscopy autoradiography
of surfaces (monograph), 1991, Energoatomizdat, Moscow (in Russian).
Kochikov I.V., Kuramshina G.M., Pentin Yu.A.,
Yagola A.G. Inverse problems of vibrational spectroscopy
(monograph). 1993, Moscow State Univ. Publ., Moscow (in Russian);
1999, VSP, Zeist (in English).
Tikhonov A.N., Leonov A.S., Yagola A.G.
Nonlinear ill-posed problems (monograph). 1995, Nauka, Moscow
(in Russian); 1998, Chapman and Hall (in English).
Kuramshina G.M., Weinhold F., Kochikov I.V.,
Yagola A.G., Pentin Yu.A.
Joint treatment of ab initio and experimental data in molecular
force field calculations with Tikhonov's method of regularization.
J. of Chemical Physics,
1994, 100, 1414-1424 (in English).
Kuramshina G.M., Weinhold F., Kochikov I.V.,
Pentin Yu.A., Yagola A.G.
Regularized force fields of molecules based on ab initio quantum
chemical calculations.
Russian J. of Physical Chemistry, 1994, 68, 358-370
(in English).
Kuramshina G.M., Lobanov A.V., Yagola A.G.
Searching normal solution of inverse vibrational problem
by the method of Monte-Carlo.
J. of Molecular Structure, 1995, 348, 147-150 (in English).
Sazhin M.V., Yagola A.G., Yakubov A.V.
Microlensing by the non-compact invisible bodies.
Physics Letters A, 1996,
219, 199-204 (in English).
Antokhin I.I., Cherepaschuk A.M.,
Yagola A.G. Velocity law in the extended atmosphere
of the WN5 star in the eclipsing binary V444 Cygni.
Astrophysics and Space Science,
1997, 354, 111-131 (in English).
Kochikov I.V., Tarasov Yu.I.,
Kuramshina G.M., Spiridonov V.P., Yagola A.G., Strand T.G.
Regularizing algorithm for determination of equilibrium
geometry and harmonic force field of free molecules from joint use
of electron diffraction, vibrational spectroscopy and
ab initio data with application to benzene.
J. of Molecular Structure, 1998,
445, 243-258 (in English).
Leonov A.S., Yagola A.G.
Special regularizing methods for ill-posed problems
with sourcewise represented solutions.
Inverse Problems,
1998, v.14, 1-12 (in English).
Kochikov I.V., Kuramshina G.M.,
Yagola A.G.
Inverse problems of vibrational spectroscopy as nonlinear
ill-posed problems. -
Surveys on Mathematics in Industry,
1998, v.8, p. 63-94.
Kochikov I.V., Tarasov Yu.I.,
Spiridonov V.P., Kuramshina G.M., Yagola A.G., Saakjan A.S.,
Popik M.V, Samdal S.
Extension of a regularizing algorithm for
the determination of equilibrium geometry and
force field of free molecules from joint use
of electron diffraction, molecular spectroscopy and
ab initio data on systems with large-amplitude oscillatory motion. -
J. of Molecular Structure,
v. 485/486 (1), 1999, p. 421-443.
A.S.Leonov, A.G.Yagola.
On justification of the maximum entropy method for
the solution of ill-posed problems. -
Vestnik Moskovskogo Universiteta, ser. 3.
Fizika. Astronomia, ¹ 2, 2000, p. 14-16 (in Russian)
Topics of scientific research:
Ill-posed problems: theory, numerical methods and applications.
Main results obtained in theory are following:
development of the theory of linear and nonlinear
ill-posed problems using variational approach
(including incompatible operator equations
with an approximate operator);
constructing numerical methods for solving linear and
nonlinear ill-posed problems.
Main results on application of developed theory to various
branches of natural sciences are following:
stable calculations of molecular force fields using
experimental data in vibrational spectroscopy;
nondestructive control methods in electronic microscopy
(microtomography of semiconductor structures,
image processing in electronic microscopy autoradiography);
interpretation of binary stars light curves using
mathematical modelling and regularizing algorithms.
Languages: Russian, English.
Present position: Professor, Department of Mathematics,
Assistant Dean, Physical Faculty, Moscow State University,
Moscow 119899, Russia.