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On the 70th birthday of professor Fedor Pavlovich Vasil’ev

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References vasil’ev’s basic scientific works

  1. B. M. Budak and F. P. Vasil’ev, “Convergence and Error Estimation for the Method of Lines as Applied to Some Filtration Problems,” in Numerical Methods in Gas Dynamics (Mosk. Gos. Univ., Moscow, 1963), issue 2, pp. 211–238 [in Russian].

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  2. B. M. Budak, T. F. Bulatskaya, and F. P. Vasil’ev, “Numerical Solution of Boundary Value Problem for a System of Nonlinear Integro-Differential Equations Describing a Hypersonic Boundary Layer,” in Numerical Methods in Gas Dynamics (Mosk. Gos. Univ., Moscow, 1963), issue 2, pp. 146–161 [in Russian].

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  3. F. P. Vasil’ev, “Finite-Difference Method for Solving a Single-Phase Stefan Problem,” Zh. Vychisl. Mat. Mat. Fiz. 3, 861–873 (1963).

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  4. F. P. Vasil’ev and A. B. Uspenskii, “Finite-Difference Method for Solving a Two-Phase Stefan Problem,” Zh. Vychisl. Mat. Mat. Fiz. 3, 874–886 (1963).

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  5. F. P. Vasil’ev, “Finite-Difference Method for Solving Single-Phase Stefan Problem for a Quasilinear Equation,” Dokl. Akad. Nauk SSSR 152, 783–786 (1963).

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  6. F. P. Vasil’ev and A. B. Uspenskii, “Finite-Difference Method for Solving a Two-Phase Stefan Problem for a Quasilinear Equation,” Dokl. Akad. Nauk SSSR 152, 1034–1037 (1963).

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  7. F. P. Vasil’ev, “Finite-Difference Method as Applied to Stefan Problems for a Quasilinear Parabolic Equation with Discontinuous Coefficients,” Dokl. Akad. Nauk SSSR 157, 1280–1283 (1964).

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  8. B. M. Budak, F. P. Vasil’ev, and A. B. Uspenskii, “Finite-Difference Method for Solving Some Boundary Stefan Problems,” in Numerical Methods in Gas Dynamics (Mosk. Gos. Univ., Moscow, 1965), issue 4, pp. 139–183 [in Russian].

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  9. B. M. Budak, F. P. Vasil’ev, and A. T. Egorova, “An Implicit Finite-Difference Scheme with the Phase Front Captured at a Grid Point for Solving Stefan Problems,” in Computational Methods and Programming (Mosk. Gos. Univ., Moscow, 1966), issue 6, pp. 231–241 [in Russian].

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  10. F. P. Vasil’ev, “A Method of Lines for Solving Stefan Problems,” in Computational Methods and Programming (Mosk. Gos. Univ., Moscow, 1967), pp. 139–164 [in Russian].

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  11. F. P. Vasil’ev, “On the Method of Lines for Solving a Single-Phase Stefan Problem,” Zh. Vychisl. Mat. Mat. Fiz. 8, 64–78 (1968).

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  12. F. P. Vasil’ev, “Existence of a Solution to an Optimal Stefan Problem,” in Computational Methods and Programming (Mosk. Gos. Univ., Moscow, 1968) [in Russian].

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  13. B. M. Budak and F. P. Vasil’ev, Approximate Methods for Solving Optimal Control Problems (Mosk. Gos. Univ., Moscow, 1968), issue 1 [in Russian].

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  14. B. M. Budak and F. P. Vasil’ev, Approximate Methods for Solving Optimal Control Problems (Mosk. Gos. Univ., Moscow, 1969), issue 2 [in Russian].

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  15. F. P. Vasil’ev, “Optimality Conditions for Some Classes of Systems Not Solved for the Derivative,” Dokl. Akad. Nauk SSSR 184, 1267–1270 (1969).

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  16. F. P. Vasil’ev, “On the Existence Conditions for a Saddle Point in Deterministic Time-Delay Integro-Differential Games with Parameters,” Zh. Vychisl. Mat. Mat. Fiz. 107, 15–25 (1970).

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  17. F. P. Vasil’ev, “On Iterative Methods for Time-Optimal Control Problems Associated with Parabolic Equations,” Zh. Vychisl. Mat. Mat. Fiz. 10, 942–957 (1970).

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  18. F. P. Vasil’ev and R. P. Ivanov “Approximate Solution to the Time-Optimal Control Problem with Delay,” Zh. Vychisl. Mat. Mat. Fiz. 10, 1124–1140 (1970).

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  19. F. P. Vasil’ev and R. P. Ivanov, “Approximate Methods for Solving State-Constrained Time-Optimal Control Problems in Banach Spaces,” Dokl. Akad. Nauk SSSR 196, 525–529 (1970).

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  20. F. P. Vasil’ev and R. P. Ivanov, “Approximate Solution to State-Constrained Time-Optimal Control Problem in Banach Spaces,” Zh. Vychisl. Mat. Mat. Fiz. 11, 328–347 (1971).

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  21. F. P. Vasil’ev, “On the Existence Conditions for a Saddle Point in Deterministic Games for Time-Delay Integro-Differential Systems of the Neutral Type,” Avtom. Telemekh., No. 2, 40–50 (1972).

  22. F. P. Vasil’ev, “Application of Generalized Newton Method to Time-Optimal Control Problems,” in Approximate Methods for Solving Optimal Control Problems and Some Ill-Posed Inverse Problems (Mosk. Gos. Univ., Moscow, 1972), pp. 68–73 [in Russian].

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  23. F. P. Vasil’ev, Foundations of Numerical Methods for Solving Extremal Problems (Mosk. Gos. Univ., Moscow, 1972), Vol. 1 [in Russian].

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  24. F. P. Vasil’ev, Foundations of Numerical Methods for Solving Extremal Problems (Mosk. Gos. Univ., Moscow, 1973), Vol. 2 [in Russian].

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  25. F. P. Vasil’ev, “Regularization Method in Optimal Control Theory,” in Mathematics in Engineering (Znanie, Moscow, 1973), pp. 200–211 [in Russian].

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  26. F. P. Vasil’ev, Lectures on Methods for Solving Extremal Problems (Mosk. Gos. Univ., Moscow, 1974) [in Russian].

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  27. B. M. Budak and F. P. Vasil’ev, Some Numerical Aspects of Optimal Control Problems (Mosk. Gos. Univ., Moscow, 1975 [in Russian].

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  28. F. P. Vasil’ev, “A Method for Solving Time-Optimal Control Problem,” Proceedings of II Conference of Young Scientists from the Facuylty of Computational Mathematics and Cybernetics, Moscow State University (Mosk. Gos. Univ., Moscow, 1975), pp. 23–30.

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  29. F. P. Vasil’ev and N. A. Prokhorov, “Methods for Solving a Differential Game,” Dokl. Akad. Nauk SSSR 227, 269–272 (1976).

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  30. F. P. Vasil’ev, “A Method for Solving Time-Optimal Control Problems,” Mathematica Balcanica 6(45), 289–290 (1976).

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  31. F. P. Vasil’ev, A. N. Tikhonov, M. M. Potapov, and A. D. Yurii, “On the Regularization of Minimization Problems on Approximately Given Sets,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 1, 4–19 (1977).

  32. F. P. Vasil’ev, “Numerical Method for Solving Time-Optimal Control Problems with Approximately Given Initial Data,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 3, 26–36 (1977).

  33. F. P. Vasil’ev, “Quasi-Solution Method for Ill-Posed Extremal Problems,” in Computational Methods and Programming (Mosk. Gos. Univ., Moscow, 1977), issue 26, pp. 119–126 [in Russian].

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  34. F. P. Vasil’ev, “Numerical Method for Solving One Class of Differential Games,” Proceedings of All-Union Symposium on Optimal Control and Differential Games (Metsniereba, Tbilisi, 1977), pp. 65–71.

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  35. F. P. Vasil’ev, “Convergence of a Finite-Difference Method for Solving Time-Optimal Control Problems,” Mathematical Models and Numerical Methods (Banach Center Publication, Warsaw, 1978), Vol. 3, pp. 93–101.

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  36. F. P. Vasil’ev and A. N. Tikhonov, “Methods for Solving Ill-Posed Extremal Problems,” Mathematical Models and Numerical Methods (Banach Center Publication, Warsaw 1978), Vol. 3, pp. 297–342.

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  37. F. P. Vasil’ev, “On the Method of Loaded Functionals,” Vest. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 3, 24–32 (1978).

  38. F. P. Vasil’ev, “On the Method of Tangents,” Zh. Vychisl. Mat. Mat. Fiz. 18, 1060–1061 (1978).

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  39. F. P. Vasil’ev, “Regularization of Ill-Posed Extremal Problems,” Dokl. Akad. Nauk SSSR 241, 1001–1004 (1978).

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  40. F. P. Vasil’ev, “Gradient Methods for Optimal Control of Systems Governed by Parabolic Equations,” in Optimal Control (Znanie, Moscow, 1978), pp. 118–143 [in Russian].

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  41. F. P. Vasil’ev, “Methods for Finding Optimal Time in Pursuit-Evasion Dynamic Games with Open-Loop Control,” Dokl. Akad. Nauk SSSR 246, 788–792 (1979).

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  42. F. P. Vasil’ev, M. A. Vorontsov, and O. A. Litvinova, “Optimal Control of the Heat Self-Action Process,” Zh. Vychisl. Mat. Mat. Fiz. 19, 1053–1058 (1979).

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  43. F. P. Vasil’ev, “On the Regularization of Ill-Posed Minimization Problems on Approximately Given Sets,” Zh. Vychisl. Mat. Mat. Fiz. 20, 38–50 (1980).

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  44. F. P. Vasil’ev, and M. Kovács, “Regularization of Ill-Posed Extremal Problems Using Penalty and Barrier Functions,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 2, 29–35 (1980).

  45. F. P. Vasil’ev and M. Kovács, “Regularization of Ill-Posed Extremal Problems in Combination with General Penalty Functions,” Problems in Computational Mathematics and System Programming (Budapests Univ., Budapest, 1980), pp. 19–41.

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  46. F. P. Vasil’ev and D. Jacimovic, “Iterative Regularization of the Constrained Gradient Method and Newton’s Method for Problems with Inaccurate Initial Data,” Dokl. Akad. Nauk SSSR 250, 265–269 (1980).

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  47. F. P. Vasil’ev, Numerical Methods for Solving Extremal Problems (Nauka, Moscow, 1980) [in Russian].

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  48. F. P. Vasil’ev, Methods for Solving Extremal Problems (Nauka, Moscow, 1981) [in Russian].

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  49. F. P. Vasil’ev and M. D. Jacimovic, “Iterative Regularization of Newton’s Method,” Zh. Vychisl. Mat. Mat. Fiz. 21, 775–778 (1981).

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  50. F. P. Vasil’ev, L. N. Khromova, and M. D. Jacimovic, “Iterative Regularization of a Third-Order Minimization Method,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 1, 31–36 (1981).

  51. F. P. Vasil’ev, “Iterative Regularization of Minimization Methods,” in Mathematical Programming Methods and Software Codes (Ural. Nauchn. Tsentr Akad. Nauk SSSR, Sverdlovsk, 1981), pp. 29–30 [in Russian].

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  52. F. P. Vasil’ev, “Methods for Solving Ill-Posed Extremal Problems,” in Mathematical Methods in Operations Research (BAN, Sofia, 1981), pp. 5–15.

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  53. F. P. Vasil’ev, “Iterative Regularization of Finite-Difference Approximations to an Optimal Control Problem,” Vestn. Kiev. Univ. Ser. Model. Optimizat. Slozhn. Syst., No. 1, 40–45 (1982).

  54. E. R. Avakov and F. P. Vasil’ev, “Finite-Difference Approximation to a Maximin Optimal Control Problem with Phase Constraints,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 2, 11–17 (1982).

  55. F. P. Vasil’ev, “Iterative Regularization of Approximations to Ill-Posed Extremal Problems,” in Methods for Solving Ill-Posed Problems and Their Applications (Vychisl. Tsentr Sib. Otd. Akad. Nauk SSSR, Novosibirsk, 1982), pp. 29–37 [in Russian].

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  56. F. P. Vasil’ev, L. N. Khromova, and M. D. Jacimovic, “Iterative Regularization of a Minimization Method with a High Convergence Rate,” in Problems in Computational Mathematics (Budapest. Univ., Budapest, 1982), pp. 24–32.

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  57. F. P. Vasil’ev and L. N. Khromova, “Method for Solving Ill-Posed Extremal Problems Based on the Iterative Regularization Principle,” Applied Mathematics and Mechanics (Tashkent. Gos. Univ., Tashkent, 1982), No. 683, pp. 36–41 [in Russian].

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  58. F. P. Vasil’ev and T. V. Konstantinova, “A Generalization of the Method of Loaded Functionals,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 2, 3–8 (1983).

  59. F. P. Vasil’ev and L. N. Khromova “A High-Order Accurate Method for Solving Operator Equations,” Dokl. Akad. Nauk SSSR 270, 28–31 (1983).

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  60. F. P. Vasil’ev, “Regularization of High-Order Accurate Methods for Problems with Inaccurate Initial Data,” Dokl. Akad. Nauk SSSR 279, 281–285 (1984).

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  61. F. P. Vasil’ev, “Regularized Steffensen Method with Approximation of the Inverse Operator,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 3–7 (1984).

  62. F. P. Vasil’ev and M. Kovács, “Regularization of Ill-Posed Extremal Problems with Inprecisely Given Data,” Computational Mathematics (Banach Center Publication, Warsaw 1984), Vol. 13, pp. 237–263.

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  63. F. P. Vasil’ev, A. Z. Ishmukhametov, M. M. Potapov, and M. S. Solodkaya, “Generalized Method of Moments in Control Problem for a Parabolic System,” in Methods and Algorithms in Numerical Analysis (Mosk. Gos. Univ., Moscow, 1984), pp. 96–107 [in Russian].

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  64. F. P. Vasil’ev, “Regularization of Newton’s Method with Inaccurate Initial Data,” Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 167 53–59 (1985).

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  65. F. P. Vasil’ev, “Regularization of Some High-Order Accurate Minimization Methods for Problems with Inaccurate Initial Data,” Zh. Vychisl. Mat. Mat. Fiz. 25, 492–499 (1985).

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  66. F. P. Vasil’ev, “Iterative Regularization of the Steffensen Method,” Computational Mathematics and Mathematical Software (Mosk. Gos. Univ., Moscow, 1985), pp. 5–9 [in Russian].

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  67. F. P. Vasil’ev, M. S. Solodkaya, and M. D. Jacimovic, “Regularized Linearization Method for Problems with Inexact Initial Data,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 3–8 (1985).

  68. F. P. Vasil’ev, M. A. Vorontsov, and N. A. Prokhorov, “An Optimal Control Problem for a Process Governed by the Shrödinger Equation,” in Application of Computers to Solving Problems in Mathematical Physics (1985), pp. 36–42 [in Russian].

  69. F. P. Vasil’ev, A. Z. Ishmukhametov, L. A. Mratova, and M. M. Potapov, “Finite-Difference Analogue of the Generalized Method of Moments in Linear Optimal Control Problem with a Quadratic Functional,” in Mathematical Issues of Nonlinear Analysis and Control of Dynamic Systems (Mosk. Gos. Univ., Moscow, 1985), pp. 115–121 [in Russian].

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  70. F. P. Vasil’ev, “Regularization of the Steffensen Method with Inaccurate Initial Data,” Methods for Mathematical Modeling and Automated Data Processing and Applications (Mosk. Gos. Univ., Moscow, 1986), pp. 15–23 [in Russian].

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  71. F. P. Vasil’ev, “Dynamic Compensation of Self-Action Effects by a Flexible Mirror,” Proceedings of VIII All-Union Symposium on Laser Radiation Propagation in the Atmosphere (Inst. Optiki Atm. Sib. Otd. Akad. Nauk SSSR, Tomsk, 1986), Part 2, pp. 86–91.

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  72. F. P. Vasil’ev, A. Z. Ishmukhametov, and O. E. Uvarova, “Application of the Generalized Method of Moments to Optimal Control Problem for a Hyperbolic System with Linear Constraints,” Vest. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 2, 3–8 (1986).

  73. F. P. Vasil’ev, M. Kovács, M. M. Potapov, and Yu. N. Chekanov, “Estimates for the Convergence Rate of the Continuous Analogue of a Regularized Gradient Method for Linear Programming Problems,” in Numerical Methods for Solving Boundary and Initial Value Problems for Differential Equations (Mosk. Gos. Univ., Moscow, 1986), pp. 98–106 [in Russian].

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  74. F. P. Vasil’ev, M. M. Potapov, and Yu. N. Chekanov, “Estimation of the Convergence Rate of the Tikhonov Regularization Method for Linear Programming Problems,” Mathematical Models and Computational Methods (Mosk. Gos. Univ., Moscow, 1987), pp. 21–27 [in Russian].

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  75. F. P. Vasil’ev, “Application of Nonsmooth Penalty Functions in the Regularization of Unstable Minimization Problems,” Zh. Vychisl. Mat. Mat. Fiz. 27, 1443–1450 (1987).

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  76. F. P. Vasil’ev, “Residual Method for Solving Unstable Minimization Problems,” Vest. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 6–10 (1987).

  77. F. P. Vasil’ev and M. Kovács, “On the Convergence Rate of the Continuous Version of the Regularized Gradient Method,” Optimization 18, 689–696 (1987).

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  78. F. P. Vasil’ev, A. Z. Ishmukhametov, M. M. Potapov, and M. Jacimovic, “Generalized Moment Problem in Optimal Control with an Integral Quadratic Functional,” Applied Methods in Nonlinear Analysis and Control (Mosk. Gos. Univ., Moscow, 1987), pp. 72–86 [in Russian].

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  79. F. P. Vasil’ev, “Estimation of the Convergence Rate of the Tikhonov Regularization Method for Unstable Minimization Problems,” Dokl. Akad. Nauk SSSR 299, 792–796 (1988).

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  80. F. P. Vasil’ev, “Regularization of Unstable Minimization Problems,” Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 185, 60–65 (1988).

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  81. F. P. Vasil’ev, B. G. Kaganov, D. P. Kostomarov, and V. I. Kukulin, “Application of the Penalty Function Method to Solving Multiparticle Quantum Mechanics Problems,” Zh. Vychisl. Mat. Mat. Fiz. 28, 1520–1529 (1988).

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  82. F. P. Vasil’ev, Numerical Methods for Solving Extremal Problems (Nauka, Moscow, 1988) [in Russian].

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  83. F. P. Vasil’ev, M. Kovács, and R. Fuller, “Stability of Fuzzy Solutions to Systems of Linear Algebraic Equations with Fuzzy Coefficients,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 1, 5–9 (1989).

  84. F. P. Vasil’ev, V. V. Morozov, and M. Jacimovic, “Estimation of the Convergence Rate of a Regularization Method for Linear Programming Problems,” Zh. Vychisl. Mat. Mat. Fiz. 29, 631–635 (1989).

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  85. F. P. Vasil’ev and M. A. Kurzhanskii, “Quasi-Solution Method for Unstable Minimization Problems with Inaccurate Initial Data,” Vest. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 4, 13–18 (1989).

  86. F. P. Vasil’ev, A. Z. Ishmukhametov, and M. M. Potapov, Generalized Method of Moments in Optimal Control Problems (Mosk. Gos. Univ., Moscow, 1989) [in Russian].

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  87. F. P. Vasil’ev, “Regularization Methods for Unstable Minimization Problems Based on an Extension of the Set,” Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kibern., No. 1, 3–16 (1990).

  88. S. M. Aliakbarov and F. P. Vasil’ev, “On Regularization Methods for Solving Unstable Problems of the Standardization Type,” Vest. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 3, 18–24 (1990).

  89. F. P. Vasil’ev, A. Yu. Ivanitskii, and V. A. Morozov, “Estimation of the Convergence Rate of the Residual Method for Linear Programming Problems with Approximate Data,” Zh. Vychisl. Mat. Mat. Fiz. 30, 1257–1262) (1990).

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  90. F. P. Vasil’ev, “Estimation of the Convergence Rate of the Quasi-Solution Method for Linear Programming Problems,” Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 1, 16–22 (1991).

  91. S. M. Aliakbarov and F. P. Vasil’ev, “Regularization of Unstable Two-Level Problems of the Standardization Type,” Zh. Vychisl. Mat. Mat. Fiz. 31, 363–371 (1991).

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  92. S. M. Aliakbarov and F. P. Vasil’ev, “Dynamic Programming Method for a Standardization-Type Problem with a Piecewise Linear Objective Function,” Zh. Vychisl. Mat. Mat. Fiz. 31, 1772–1782 (1991).

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  93. F. P. Vasil’ev, “Estimation of the Convergence Rate of Regularization Methods for Unstable Minimization Problems,” in Direct and Unverse Problems in Mathematical Physics (Mosk. Gos. Univ., Moscow, 1991), pp. 84–92 [in Russian].

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  94. F. P. Vasil’ev, V. V. Morozov, and M. Jacimovic, “Quasi-Solution Method for a Lexicographic Linear Programming Problem,” in Numerical Analysis: Methods, Algorithms, and Programs (Mosk. Gos. Univ., Moscow, 1991), pp. 88–96 [in Russian].

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  95. F. P. Vasil’ev and M. Kovács, “Convergence Rate for Regularized Barrier Function Methods,” Optimization 22, 427–438 (1991).

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  96. S. M. Aliakbarov and F. P. Vasil’ev, “Stability of a Class of Minimization Problems of the Standardization Type,” Izv. Akad. Nauk. Resp. Tadzh. Otd. Fiz.-Mat. Khim. Nauk, No. 2, 19–23 (1992).

  97. F. P. Vasil’ev, V. V. Morozov, and M. Jacimovic, “Stabilization Method for Lexicographic Linear Programming Problem,” Vest. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 4, 15–21 (1992).

  98. F. P. Vasil’ev, A. Yu. Ivanitskii, and V. V. Morozov, “The Pointwise Residual Method as Applied to Systems of Linear Algebraic Equations and Inequalities,” Proceedings of International Conference on Ill-Posed Problems in Natural Sciences (TVP, Moscow, 1992), pp. 33–43.

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  99. F. P. Vasil’ev, and M. Jacimovic, “The Residual Method for Lexicographic Problems,” Yugoslav J. Oper. Res. 2, 45–53 (1992).

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  100. F. P. Vasil’ev and O. Obradovich, “Regularized Proximal Method for Minimization Problems with Inaccurate Initial Data,” Zh. Vychisl. Mat. Mat. Fiz. 33, 179–188 (1993).

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  101. F. P. Vasil’ev and M. Jacimovic, “Stabilization Method for Lexicographic Problems,” Zh. Vychisl. Mat. Mat. Fiz. 33, 1123–1134 (1993).

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  102. F. P. Vasil’ev, A. Yu. Ivanitskii, and V. V. Morozov, “The Pointwise Residual Method for Solving Certain Problems in Linear Algebra and Linear Programming,” Informatics and Computational Systems (Mosk. Gos. Univ., Moscow, 1993), pp. 46–65 [in Russian].

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  103. F. P. Vasil’ev, M. A. Kurzhanskii, and A. V. Razgulin, “On the Fourier Method as Applied to the Control of String Vibrations,” Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 2, 3–8 (1993).

  104. F. P. Vasil’ev, M. A. Kurzhanskii, and M. M. Potapov, The Method of Lines and Finite-Difference Method as Applied to Control and Observation Problems for the String Vibration Equation, Available from VINITI, No. 505-V (Moscow, 1993).

  105. F. P. Vasil’ev, M. A. Kurzhanskii, and M. M. Potapov, “The Method of Lines in the Problems of Boundary Control and Observation for the String Vibration Equation,” Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 3, 8–15 (1993).

  106. F. P. Vasil’ev, V. V. Morozov, and M. Jacimovic, “Quasi-Solution Method for Solving Lexicographic Problems,” Matematika Tsrne Gore 2, 93–106 (1993).

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  107. F. P. Vasil’ev and A. Nedic, “Three-Step Regularized Gradient Projection Method for Solving Minimization Problems with Inaccurate Initial Data,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 12; 35–43 (1993).

  108. F. P. Vasil’ev and A. Nedic, “Regularized Continuous Gradient Projection Method of the Second Order,” Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 2, 3–11 (1994).

  109. F. P. Vasil’ev and A. Nedic, “A Regularized Gradient Projection Method,” Zh. Vychisl. Mat. Mat. Fiz. 34, 511–519 (1994).

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  110. F. P. Vasil’ev and M. Kovács, “Estimation of the Convergence Rate of Regularization Methods for Unstable Minimization Problems,” Numerical Analysis and Mathematical Modeling (Banach Center Rubl., Warsaw, 1994), Vol. 29, pp. 233–244.

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  111. F. P. Vasil’ev, A. Nedic, and M. Jacimovic, “Three-Step Regularized Linearization Method for Minimization Problems,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 12, 1–8 (1994).

  112. F. P. Vasil’ev, and A. Nedic, “Regularized Continuous Gradient Projection Method of the Third Order,” Differ. Uravn. 30, 2033–2042 (1994).

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  113. F. P. Vasil’ev, and M. Jacimovic, “Residual Method for Lexicographic Linear Programming Problems,” in Mathematical Modeling and Solution of Inverse Problems in Mathematical Physics (Mosk. Gos. Univ., Moscow, 1994), pp. 82–92 [in Russian].

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  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    M. K. Kerimov

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Original Russian Text © M.K. Kerimov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 2, pp. 195–204.

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Kerimov, M.K. On the 70th birthday of professor Fedor Pavlovich Vasil’ev. Comput. Math. and Math. Phys. 46, 185–194 (2006). https://doi.org/10.1134/S0965542506020011

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