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Khromova, Galina Vladimirovna

Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 26

Number of views:
This page:661
Abstract pages:4920
Full texts:1948
References:749
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 16.09.1935
E-mail:
Keywords: ill-posed problems; first kind equations; regularization; convergence domain; error estimates; approximation of functions.

Biography

Graduated from Faculty of Mathematics and Mechanics of Saratov State University in 1958. Ph.D. thesis was defended in 1973. D.Sci. thesis was defended in 1999. A list of my works contains more than titles.

   
Main publications:
  • Khromova G. V. Priblizhayuschie svoistva rezolvent differentsialnykh operatorov v zadache priblizheniya funktsii i ikh proizvodnykh // Zhurn. vychislit. matematiki i matem. fiziki, 1998, t. 38, # 7, 1106–1113.
  • Khromova G. V. Ob obratnoi zadache dlya obyknovennogo differentsialnogo uravneniya // Fundam. i prikladnaya matematika, 1998, t. 4, vyp. 2, 709–716.
  • Khromova G. V. Ob odnom sposobe postroeniya metodov regulyarizatsii uravnenii pervogo roda // Zhurn. vychisl. matematiki i matem. fiziki, 2000, t. 40, # 7, 907–1102.
  • Khromova G. V. Ob otsenkakh pogreshnosti priblizhennykh reshenii uravnenii pervogo roda // Doklady RAN, 2001, t. 378, # 5, 1–5.

http://www.mathnet.ru/eng/person17738
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/273599

Publications in Math-Net.Ru
2021
1. G. V. Khromova, “Operators with discontinuous range and their applications”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 200 (2021),  58–64  mathnet
2018
2. G. V. Khromova, “Regularization of the Abel integral equation with perturbation”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018),  945–950  mathnet  elib; Comput. Math. Math. Phys., 58:6 (2018), 909–914  isi  scopus
2016
3. G. V. Khromova, “On operators with discontinuous range”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  298–302  mathnet  mathscinet  elib
2015
4. A. A. Khromov, G. V. Khromova, “The solution of the problem of determining the density of heat sources in a rod”, Izv. Saratov Univ. Math. Mech. Inform., 15:3 (2015),  309–314  mathnet  elib
5. G. V. Khromova, “On uniform approximations to the solution of the Abel integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1703–1712  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:10 (2015), 1674–1683  isi  elib  scopus
2014
6. G. V. Khromova, “Regularization of Abel Equation with the Use of Discontinuous Steklov Operator”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014),  599–603  mathnet  elib
7. A. P. Khromov, G. V. Khromova, “Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014),  1442–1557  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:9 (2014), 1389–1394  isi  elib  scopus
2013
8. A. P. Khromov, G. V. Khromova, “A family of operators with discontinuous ranges and approximation and restoration of continuous functions”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013),  1603–1609  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:10 (2013), 1421–1427  isi  elib  scopus
2012
9. A. P. Khromov, G. V. Khromova, “On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  289–297  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 88–97  isi  scopus
10. A. P. Khromov, G. V. Khromova, “On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1363–1372  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1079–1088  isi  elib  scopus
2011
11. A. A. Khromov, G. V. Khromova, “Approximating properties of solutions of the differential equation with integral boundary condition”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(2) (2011),  63–66  mathnet
12. A. A. Khromov, G. V. Khromova, “On the construction of approximations to continuous functions under integral boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1370–1375  mathnet  mathscinet; Comput. Math. Math. Phys., 51:8 (2011), 1280–1285  isi  scopus
2009
13. G. V. Khromova, “Convergence of the Lavrent'ev method”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  958–965  mathnet  zmath  elib; Comput. Math. Math. Phys., 49:6 (2009), 919–926  isi  elib  scopus
14. A. A. Khromov, G. V. Khromova, “Finding approximations of continuous solutions to first-kind equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  225–231  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 49:2 (2009), 217–223  isi  scopus
2007
15. S. Yu. Sovetnikova, G. V. Khromova, “On the regularization of an equation of the first kind with a multiple integration operator”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  578–586  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:4 (2007), 555–563  scopus
2006
16. G. V. Khromova, “On the moduli of continuity of unbounded operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, 9,  71–78  mathnet  mathscinet; Russian Math. (Iz. VUZ), 50:9 (2006), 67–74
17. G. V. Khromova, E. V. Shishkova, “Constructing regularization methods in the spaces of differentiable functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  1915–1922  mathnet  mathscinet; Comput. Math. Math. Phys., 46:11 (2006), 1827–1834  scopus
2005
18. G. V. Khromova, “On the regularization of a class of integral equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005),  1810–1817  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:10 (2005), 1743–1750
2004
19. G. V. Khromova, “On the Tikhonov regularization in spaces of differentiable functions”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004),  581–585  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:4 (2004), 547–551
2003
20. G. V. Khromova, “Tikhonov's method and approximation of periodic functions”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  513–517  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:4 (2003), 489–493
2002
21. A. P. Khromov, G. V. Khromova, “Extension of the convergence domain in the Tikhonov method”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1109–1114  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 42:8 (2002), 1067–1072
2000
22. G. V. Khromova, “A method for constructing regularization techniques for equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  997–1002  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:7 (2000), 955–960
1998
23. G. V. Khromova, “On inverse problem for an ordinary differential equation”, Fundam. Prikl. Mat., 4:2 (1998),  709–716  mathnet  mathscinet  zmath
24. G. V. Khromova, “Approximating properties of resolvents of differential operators in the approximation problem for functions and their derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1106–1113  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:7 (1998), 1057–1064
1977
25. G. V. Khromova, “The problem of the reconstruction of functions that are given with error”, Zh. Vychisl. Mat. Mat. Fiz., 17:5 (1977),  1161–1171  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:5 (1977), 58–68
1972
26. G. V. Khromova, “The regularization of integral equations of the first kind with a Green's kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, 8,  94–104  mathnet  mathscinet  zmath

2000
27. G. V. Khromova, “Correction to: “On a technique for constructing regularization methods for equations of the first kind””, Zh. Vychisl. Mat. Mat. Fiz., 40:10 (2000),  1584  mathnet  mathscinet

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