Bulychev, Yu. G. Application of supporting integral curves and generalized invariant unbiased estimation for the study of a multidimensional dynamical system. (English. Russian original) Zbl 1451.65085 Comput. Math. Math. Phys. 60, No. 7, 1116-1133 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1151-1169 (2020). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 60, No. 7, 1116--1133 (2020; Zbl 1451.65085); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1151--1169 (2020) Full Text: DOI
Bulychev, Yu. G.; Mel’nikov, A. V. Numerical-analytical method for analyzing the behavior of a dynamical system using incorrect observations without state space extension. (English. Russian original) Zbl 07132220 Comput. Math. Math. Phys. 59, No. 6, 881-893 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 6, 937-950 (2019). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{A. V. Mel'nikov}, Comput. Math. Math. Phys. 59, No. 6, 881--893 (2019; Zbl 07132220); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 6, 937--950 (2019) Full Text: DOI
Bulychev, Yu. G.; Burlai, I. V. The problem of checking and correction of numerical results for differential equations, and methods for its solution. (English. Russian original) Zbl 1024.65073 Comput. Math. Math. Phys. 41, No. 9, 1292-1298 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1358-1365 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65L70 65L05 34A34 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{I. V. Burlai}, Comput. Math. Math. Phys. 41, No. 9, 1292--1298 (2001; Zbl 1024.65073); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1358--1365 (2001)
Bulychev, Yu. G.; Burlai, I. V. Optimal calculation of derivatives of various orders in the class of finite-spectrum functions. (English. Russian original) Zbl 0994.65019 Comput. Math. Math. Phys. 40, No. 4, 480-490 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 4, 505-516 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65D25 26A24 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{I. V. Burlai}, Comput. Math. Math. Phys. 40, No. 4, 480--490 (2000; Zbl 0994.65019); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 4, 505--516 (2000)
Bulychev, Yu. G. The general theory of reference-parametric methods of approximate solutions of linear operator equations. (English. Russian original) Zbl 0972.65035 Comput. Math. Math. Phys. 38, No. 8, 1358-1360 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 8, 1415-1417 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 38, No. 8, 1358--1360 (1998; Zbl 0972.65035); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 8, 1415--1417 (1998)
Bulychev, Yu. G.; Manin, A. A. Synthesizing mathematical models of dynamic systems from experimental data. (English. Russian original) Zbl 0947.37056 Comput. Math. Math. Phys. 38, No. 2, 339-340 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 351-252 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 37M05 37B05 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{A. A. Manin}, Comput. Math. Math. Phys. 38, No. 2, 1 (1998; Zbl 0947.37056); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 351--252 (1998)
Bulychev, Yu. G.; Zhukovskij, A. G. New properties of the Chebyshev polynomials and their applications in variational methods. (English. Russian original) Zbl 0942.41016 Comput. Math. Math. Phys. 37, No. 6, 653-660 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 6, 670-678 (1997). Reviewer: Alexey A.Tretiakov (Siedlce) MSC: 41A50 47J30 34B05 34H05 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{A. G. Zhukovskij}, Comput. Math. Math. Phys. 37, No. 6, 670--678 (1997; Zbl 0942.41016); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 6, 670--678 (1997)
Bulychev, Yu. G.; Burlai, I. V. Interpolation, approximation and differentiation in the class of functions with compactly supported spectra. (English. Russian original) Zbl 0958.41013 Comput. Math. Math. Phys. 37, No. 9, 998-1006 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 9, 1034-1042 (1997). Reviewer: Alexey Tretiakov (Siedlce) MSC: 41A30 65D05 41A05 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{I. V. Burlai}, Comput. Math. Math. Phys. 37, No. 9, 1034--1042 (1997; Zbl 0958.41013); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 9, 1034--1042 (1997)
Bulychev, Yu. G. Correcting the results of the numerical integration of differential equations on the basis of the invariance principle. (English. Russian original) Zbl 0841.65072 Comput. Math. Math. Phys. 35, No. 2, 139-149 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 178-191 (1995). MSC: 65L99 65Y20 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 35, No. 2, 139--149 (1995; Zbl 0841.65072); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 178--191 (1995)
Bulychev, Yu. G. A mathematical technique for the \(N\)-fold differentiation of functions with a finite spectrum and its applications. (English. Russian original) Zbl 0832.65012 Comput. Math. Math. Phys. 34, No. 5, 555-567 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 5, 643-657 (1994). MSC: 65D25 65T40 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 34, No. 5, 555--567 (1994; Zbl 0832.65012); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 5, 643--657 (1994)
Bulychev, Yu. G. The numerical-analytic integration of differential equations by generalized interpolation. (English. Russian original) Zbl 0820.65036 Comput. Math. Math. Phys. 34, No. 4, 441-452 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 4, 520-532 (1994). MSC: 65L05 34C05 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 34, No. 4, 520--532 (1994; Zbl 0820.65036); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 4, 520--532 (1994)
Bulychev, Yu. G.; Pogonyshev, S. A. Modelling of parabolic evolution equations of arbitrary order in discrete bases. (English. Russian original) Zbl 0795.65057 Comput. Math. Math. Phys. 33, No. 7, 985-986 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 7, 1118-1119 (1993). MSC: 65M06 65M12 35G10 35K25 35K30 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{S. A. Pogonyshev}, Comput. Math. Math. Phys. 33, No. 7, 1118--1119 (1993; Zbl 0795.65057); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 7, 1118--1119 (1993)
Bulychev, Yu. G.; Burlaj, I. V.; Pogonyshev, S. A. A numerical-analytic method of differentiating functions with a bounded spectrum based on Kotel’nikov’s formula. (English. Russian original) Zbl 0777.65008 Comput. Math. Math. Phys. 32, No. 3, 331-342 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 3, 396-407 (1992). Reviewer: S.Zabek (Lublin) MSC: 65D25 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} et al., Comput. Math. Math. Phys. 32, No. 3, 331--342 (1992; Zbl 0777.65008); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 3, 396--407 (1992)
Bulychev, Yu. G.; Pogonyshev, S. A. Simulation of stochastic evolution equations in discrete bases. (English. Russian original) Zbl 0745.65090 Comput. Math. Math. Phys. 31, No. 3, 32-36 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 381-387 (1991). MSC: 65C99 65M06 60H15 PDFBibTeX XMLCite \textit{Yu. G. Bulychev} and \textit{S. A. Pogonyshev}, Comput. Math. Math. Phys. 31, No. 3, 32--36 (1991; Zbl 0745.65090); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 381--387 (1991)
Bulychev, Yu. G. Methods for the numerical-analytical integration of differential equations. (English. Russian original) Zbl 0786.65102 Comput. Math. Math. Phys. 31, No. 9, 28-39 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 9, 1305-1319 (1991). MSC: 65Z05 65M20 35K55 35Q40 81Q05 PDFBibTeX XMLCite \textit{Yu. G. Bulychev}, Comput. Math. Math. Phys. 31, No. 9, 28--39 (1991; Zbl 0786.65102); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 9, 1305--1319 (1991)