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Publications of Prof. Stefka Dimova, Dr. Habil


  1. Petkov M., Borshukova St. Modified Newton’s method for matrix rooting. Annuaire Univ. Sofia, Vol. 66, 1971/1972, 2, 341-347
  2. Kaneti J., Golovinski E., Dimova S. A molecular orbital approach to the study of some stages of purine metabolic pathways, FEBS Symposium, V.22, 1972, 163-176.
  3. Kaneti J., Golovinski E., Dimova S., Langen P., Kovolik G., Schutt M. A correlation between the effect of some 5-substituted 5-deoxythymidines on the thymidylate kinase reaction and their electronic structure. Comptes rendus l’Acad. Bulg. Sci, 25, N11, 1972, 1583-1586.
  4. Borshukova S.N. Tangential loading of the lateral area of cylinder and cylindrical cavity. Commun. Appl. Math. 2, Computing Center, Russian AS, Moscow, 1972, 58 pp.
  5. Hristov St., Borshukova St., Popov V. Algorithm and program for computing of tunnels via the theory of elasticity. Techn. J., 10, N4, 1973, 69-76.
  6. Borshukova St., Nikishin V.S. Contact problems of elasticity for cylinders. Proc. II National Congress on Theor. Appl. Mech., Varna, 1973, 116-123.
  7. Borshukova St. Analysis and numerical solving of the first main problem of elasticity for transversally isotropic cylinders by Fourier integral transform. Theor. Appl. Mech., V, N1, 1974, 81-92.
  8. Borshukova S.N. Computation of stress-strain state of transversally isotropic cylindrical bodies by the method of Green function. Numerical Anal., Inst. Cybernetics UAS, Kiev, 1975, 57-71.
  9. Borshukova S.N. Numerical solving of some axially symmetric problems of elasticity by Fourier transforms. Ph.D. Thesis , 1975.
  10. Borshukova S.N., Nikishin V.S., Shapiro G.S. On contact problems for cylinders and cylindrical shells. Comptes rendus l’Acad. Bulg. Sci, 29, N 12, 1976, 1725-1727. 
  11. Borshukova S.N., Nikishin V.S., Shapiro G.S. Contact problems for hollow cylinder and one-sided connections. Theor. Appl. Mech., N2, 1978,82-85.
  12. Dimov I., Rashev C., Manolov V., Andreev N., Lazarov R., Dimova St., Shopov P. Mathematical model of crystallization of cylindrical stainless steel ingot. Matherials Sci. and Techn., N 9, 1980, 63-68.
  13. Lazarov R., Dimova St., Drenska N., Tchernogorova T. Mathematical modeling of casting processes. ”Banach Center Publications”, v. 13, Warsaw, 1984, 73-90.
  14. Dimov I., Rashev C., Manolov V., Andreev N., Sendov Bl., Lazarov R., Dimova St., Tchernogorova T. Mathematical modeling of heat conduction processes in ingot casting of stainless steel. Metallurgy, XXXVI, N 4, 1981, 3-5.
  15. Borshukova S.N., Lazarov R.D. Package of computer programs for solving the basic 2-D problems of elasticity. Comm. JINR, Dubna, P11-81-149, 1981.
  16. Borshukova S.N., Lazarov R.D. Numerical methods for solving heat-transfer problems. Proc. “Mathematical models of heat-mass transfer” ITMO, Minsk, 1982, 55-73.
  17. St. Borshukova, P.Konovski. Transformation of dependent variable in the finite-element solution of some phase change problems. Int.J.Numer.Meth.Eng.,20, 1984, 1815-1821.
  18. Borshukova S.N., Regularization method of Carleman-Vecua and self-regularization method for numerical solving of mixed elasticity problems . Comm. JINR, Dubna, P-83-414, 1983.
  19. Dimov I., Rashev C., Manolov V., Andreev N., Sendov Bl., Lazarov R., Dimova St., Tchernogorova T. Mathematical modelling of steel crystallization, Works of the Iron and Steel Institute, v. XIV, Part I, Sofia , 1983, 93-102.
  20. Dimov I., Rashev C., Manolov V., Dimova St., Tchernogorova T. Numerical solving of 3-D crystallization problems. “Numerical Methods and Applications”, /Proc. Int. Conf., Sofia, 1984/, Publ. house BAS, 1985, ñ. 253-257.
  21. T. Tchernogorova, S. Dimova. An enthalpy formulation of Stefan’s type problem and its numerical realisation. “Numerical Methods and Applications”, /Proc. Int. Conf., Sofia, 1984/, Publ. house BASci., Sofia,1985, 600-606.
  22. Dimova ST., Iotova A., Boiadjiev D. Solving of heat transfer and magnetostatic problems using SPP TERMO. Proc. “Mathematics and mathematical education”, v. 14, 1985, 44-52.
  23. Borshukova S.N., Iotova A.I., Lazarov R.D. SPP TERMO for solving heat transfer problems by the finite element method. Proc. “Numerical methods for solving problems of mathematical physics”, Comp. Centre Siberian branch of Russian AS, 1985, 31-41.
  24. Andreev N., Marinov M., Rashev C., Borshukova S., Simeonov G., Tchernogorova T. Mathematical modelling of some technological and constructive problems of metallurgy. Proc. “Numerical methods for solving problems of mathematical physics”, Comp. Center Siberian branch of Russian AS, 1985, 69-81.
  25. Bakirova M.I., Borshukova S.N., Dorodnycin V.A., Svirshtchevskii S.R. On directed heat diffusion in nonlinear anisotropic medium. Preprint Inst. Appl. Math. Russian AS, N182, 1985.
  26. Andreev N., Manolov V., Rashev C., Andreev T., Tchernogorova T., Iotova A., Dimova S., Lazarov R., Simeonov G. Numerical analysis of some technological problems in metallurgy. Proc. “Mathematical models, analytical and numerical methods in transport problems” ITMO, Minsk, 1986, 106-114.
  27. S.N. Dimova-Borshukova. Numerical analysis of the directed heat diffusion in a nonlinear anisotropic medium. Proc. ICCM, Tokyo, 1986, VIII, 78-82.
  28. M.I. Bakirova, S.N. Dimova, V.A. Dorodnicyn, S.P. Kurdiumov, A.A. Samarskii, S.R. Svirshtchevskii. Invariant solutions of the heat-conduction equation describing directed propagation of combustion and helical waves in a nonlinear medium. Dokl.Acad.Nauk SSSR, 229, 346-350 (Russian), Sov. Phys. Dokl., 33(3), 1988, 187-189. 
  29. V. Manolov, V. Iliev, C. Rashev, M. Marinov, St. Borshukova, P. Bonev. Nonstationary heat transfer in multilayer wall of cylindrical chamber. Dokl. BAN, 41, N2, 1988, 59-62. (Bulgarian)
  30. S.N. Dimova, M.S. Kastchiev, S.P.Kurdiumov. Numerical analysis of one-dimensional eigen functions of burning of nonlinear medium. I. Numerical method and experiments Preprint JINR, Dubna, Ð11-88-473, 1988.
  31. S.N. Dimova, M.S. Kastchiev, S.P.Kurdiumov. Numerical analysis of one-dimensional eigen functions of burning of nonlinear medium. II. Some limiting cases. Preprint JINR, Dubna, Ð11-88-831, 1988.
  32. S.N. Dimova, M.S. Kastchiev. Numerical analysis of two-dimensional eigen functions of burning of nonlinear anisotropic medium. Preprint JINR, Dubna, Ð11-88-876, 1988.
  33. S.N. Dimova, M.S. Kastchiev. Numerical analysis of two-dimensional eigen functions of burning of nonlinear heat-conducting medium. Proc. Intern. Conf. Numerical Methods and Applications, Sofia, 1988, Publ. House BAS, Sofia, 1989, 121-125.
  34. S.N. Dimova, M.S. Kastchiev, S.P.Kurdiumov. Structure of the one-dimensional eigenfunctions of a nonlinear heat-conducting medium. Proc. Intern. Conf. Numerical Methods and Applications, Sofia, 1988, Publ. House BASci, Sofia, 1989, 126-130.
  35. Gonin I.V., Gorbul V.P., Dimova S.N., Kastchiev M.S., Kravtchuk L.V., Paramonov V.V. FEM-program package for evaluation of the influence of thermal stresses on the characteristics of an accelerating structure. Proc. Intern. Conf. Numerical Methods and Applications, Sofia, 1988, Publ. House BASci, Sofia, 1989, 187-191.
  36. S.N. Dimova, M.S. Kastchiev, S.P.Kurdiumov. Numerical analysis of the eigenfunctions of combustion of a nonlinear medium in the radially symmetric case. USSR Comp. Math. Math. Phys., 29, N 6, 1989, 61-73 (transl. from JCMMF, 29, 11, 1989, 1688-1704.
  37. Andreev N., Tchernogorova T., Dimova S., Simeonov G. Application of numerical experiments for analysis of layerwise solidification of high nitrogen steel ingots. Proc. Conf. on high nitrogen steels, Varna, 1989.
  38. S.N. Dimova, V.A. Galaktionov, D.I. Ivanova. Numerical analysis of blow-up and degeneracy of a semi-linear heat equation. Preprint JINR, Dubna, E11-89-785, 1989.
  39. S.N. Dimova, M.S. Kastchiev. Numerical analysis of the eigen functions of combustion of a nonlinear medium. III. Communications JINR, Dubna, Ð11-90-11, 1990.
  40. S.N. Dimova, D.I. Ivanova. Finite-element method with special mesh refinement for analysis of single point blow-up solutions. Communications JINR, Dubna, E11-91-39, 1991.
  41. S.N. Dimova, M.S. Kastchiev, M.G. Koleva. Numerical analysis of the eigen functions of combustion of a nonlinear medium in polar coordinates by the finite element method. Mathematical Modeling, v. 4, 3, 1992, 74-83.
  42. S.N. Dimova, D.P. Vasileva. On the numerical realization of blow-up spiral wave solutions of a nonlinear heat-transfer equation. C.R.Acad.Bulg.Sci, 46, N 5, 1993, 31-34. 
  43. S.N. Dimova, M.S. Kastchiev, M.G. Koleva, D.P. Vasileva. Numerical analysis of nonradially symmetric structures, arising in nonlinear reaction-diffusion processes. In: Programming and Mathematical Methods for Solving Physical Problems, World Scientific, 1994, 251-256.
  44. S.N. Dimova, M.S. Kastchiev, M.G. Koleva, D.P. Vasileva. Numerical analysis of radially nonsymmetric structures in nonlinear heat transfer medium. Phys. Docl., 39, N 10, 1994, 673-676, Docl. Acad. Nauk, Ross. Akad. Nauk, 338, N 4, 1994, 461-464. 
  45. S.N. Dimova, D.P. Vasileva. Numerical realisation of blow-up spiral wave solutions of a nonlinear heat-transfer equation. Int. J. Num. Meth. Heat Fluid Flow, 4, N 6, 1994, 497-511.
  46. S.N. Dimova, D.P. Vasileva. Lumped-mass finite-element method with interpolation of the nonlinear coefficients for a quasilinear heat transfer equation. Numerical Heat Transfer, Part B, 28, 1995, 199-215.
  47. S.N. Dimova, M.S. Kastchiev, M.G. Koleva, D.P. Vasileva. Numerical analysis of the blow-up regimes of combustion of two-component nonlinear heat-conducting medium. Comp. Math. Math. Phys., 35, N 3, 1995, 303-319. (transl. from JCMMF, 35, N3, 1995, 380-399). 
  48. Boiadjiev T.L., S.N. Dimova. Modeling of steady states in long inhomogeneous Joseffson junctions. Mathematical Modeling, 9, N 5, 1997, 37-47.
  49. Dimova, M.S. Kastchiev, M.G. Koleva, D.P. Vasileva. Numerical analysis of radially nonsymmetric blow-up solutions of a nonlinear parabolic problem. J. Comp. Appl. Math., 97, 1998, 81-97.
  50. S.N. Dimova, T.P. Chernogorova. Asymptotically self-similar blow-up for a quasilinear parabolic equation byond some critical exponents. Comptes rendus de l’Academie Bulgare des Sciences, 53, N 12, 2000, 21-24.
  51. V. Slavov, St. Dimova, O.Iliev. Phase-field method for 2D dendridic growth. Lecture Notes in Comp. Science, LNCS 2902, 2004, 404-411.
  52. V. Slavov, St. Dimova. Phase field modeling of dendritic interaction in 2D. Mathematics and education in mathematics, 2004, 476-481.
  53. S.N. Dimova, T.P. Chernogorova. Nonsymmetric Galerkin finite element method with dynamic mesh refinement for singular nonlinear problems. J. Comp. Appl. Math. (Kiev University), N 92, 2005, 3-16.
  54. S.N. Dimova. Numerical investgation of nonstationary heat structures. Thesis for Doctor of Sciences degree, JINR, Russia, 2004. (in Russian)
  55. S.N. Dimova, T.P. Chernogorova. Nonsymmetric Galerkin finite element method with dynamic mesh refinement for singular nonlinear problems. J. Comp. Appl. Math. (Kiev University), N 92, 2005, 3-16.
  56. Atanasova P.H., Dimova S.N., Boyadjiev T.L.. Numericam modelling of critical dependences in two-layered Josephson junctions. Communacations JINR, P11-2005-16, Dubna, 2005, 22 pp. (in Russian).
  57. Atanasova P.H., Dimova S.N., Boyadjiev T.L.. Numerical simulation of critical dependences for symmetric two-layered Josephson junctions. Comp. Math. and Math. Physics, Vol. 46, No 4, 2006, 666-679. 
  58. Dimova K.B., Dimova S.N. Solutions of type traveling waves for a class of nonlinear reaction-diffusion problems. Comptes rendus de l’Academie bulgare des Sciences, tome 59, No 1, 2006, 11-18.
  59. V. Slavov, St. Dimova, Phase-Field Versus Level Set Method for 2D dendridic growth. Lecture Notes in Comp. Science, LNCS 4310, 2007, 717-725.
  60. I. Hristov, St. Dimova, T. Boyadjiev. Stability and bifurcation of the magnetic flux bound states in stacked Josephson junctions. NAA 2008, LNCS 5434, Springer, 2009, pp. 224-232. 
  61. I. Hristov, St. Dimova, T. Boyadjiev. Numerical Investigation of the Magnetic Flux Static Distributions in Layered Josephson Junctions. The Int. J. of Multiphysics, Vol. 3, №3, 2009, pp.259-265. 
  62. I. Hristov, St. Dimova, T. Boyadjiev. Numerical Investigation of Josephson Junction Structures. American Institute of Physics Conference Proceedings 1186, “Applications of Mathematics in Technical and Natural Sciences”, 2009, pp. 57-68. 
  63. I. Hristov, St. Dimova, T. Boyadjiev. Transitions from Static to Dynamic State in Three stacked Josephson Junctions. LNCS, volume 5910 “Large Scale Scientific Computations (LSSC’2009)”, Springer, 2010, pp. 765–770. 
  64. Hristov, St. Dimova, T. Boyadjiev. Critical Dependences in Three-Layered Josephson Junctions. Int. Conference Mathematical Modelling and Computational Physics, MMCP’2009. PFUR Bulletin, Mathematics, Informatics, Physics, 3-2, pp. 143-147.
  65. Milena Dimova, Stefka Dimova. Numerical investigation of spiral structure solutions of a nonlinaer elliptic problem. . I. Dimov, S. Dimova, N. Kolkovska (Eds.): NMA 2010, LNCS 6046, pp. 395-403, 2011. Springer-Verlag Berlin Heidelberg 2011. 
  66. Ivan Hristov, Stefka Dimova. Fluxon dynamics in stacked Josephson junctions. I. Dimov, S. Dimova, N. Kolkovska (Eds.): NMA 2010, LNCS 6046, pp. 428-436, 2011. Springer-Verlag Berlin Heidelberg 2011. 
  67. Ivan Hristov, Stefka Dimova. Numerical Investigation of Fluxon Interactions in Josephson Stacks. American Institute of Physics Conference Proceedings 1404, “Applications of Mathematics in Technical and Natural Sciences”, 2011, pp. 381-388 
  68. Ivan Hristov, Stefka Dimova. Numerical study of fluxon lattices in long Josephson stacks. American Institute of Physics Conference Proceedings 1487, “Applications of Mathematics in Technical and Natural Sciences”, 2012, pp. 377-385. 
  69. Milena Dimova, Stefka Dimova, Daniela Vasileva. Numerical Investigation of a New Class of Waves in an Open Nonlinear Heat-Conducting Medium. Central European Journal of Mathematics, 11(8), 2013, pp. 1375-1391.
  70. Stefka Dimova, Milena Dimova, Daniela Vasileva: Structures and waves in a nonlinear heat-conducting medium. O.P. Iliev et al. (eds.) "Numerical Solution of Partial Differential Equations: Theory, Algorithms, and their Applications", Springer Proceedings in Mathematics & Statistics 45, 2013, pp. 157-184. 
  71. I. Hristov, S. Dimova. Numerical investigation of the unified model of stacked Josephson junctions. American Institute of Physics Conference Proceedings 1561, “Applications of Mathematics in Technical and Natural Sciences”, 2013, pp. 84-91.

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