Dzyadyk, V. K. Approximative-iterative method for solving nonlinear differential and integral equations. (English) Zbl 0844.65060 Boutet de Monvel, Anne (ed.) et al., Algebraic and geometric methods in mathematical physics. Proceedings of the 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, September 1-14, 1993. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 19, 409-414 (1996). MSC: 65L05 34A34 65R20 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Math. Phys. Stud. 19, 409--414 (1996; Zbl 0844.65060)
Dzyadyk, V. K. Approximation methods for solutions of differential and integral equations. Transl. from the Russian. (English) Zbl 0839.65074 Inverse and Ill-posed Problems Series. Utrecht: VSP. 325 p. (1995). MSC: 65Lxx 65-02 65Mxx 65Nxx 65R20 65Dxx 41-02 65J99 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Approximation methods for solutions of differential and integral equations. Transl. from the Russian. Utrecht: VSP (1995; Zbl 0839.65074)
Dzyadyk, V. K.; Basov, A. M. Effective solution of boundary value problems for systems of ordinary differential equations. (Russian) Zbl 0732.65070 Prepr., Inst. Mat. Akad. Nauk Ukr. SSR, Kiev 90.29, 21 p. (1990). Reviewer: P.Y.Yalamov (Russe) MSC: 65L10 65L70 34B15 PDFBibTeX XML
Dzyadyk, V. K. On the theory of special functions and their approximations. (English) Zbl 0632.33010 Math. USSR, Sb. 59, No. 2, 429-458 (1988). MSC: 33C45 34A30 65D15 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Math. USSR, Sb. 59, No. 2, 429--458 (1988; Zbl 0632.33010) Full Text: DOI
Dzyadyk, V. K. Approximation methods for solving differential and integral equations. (Approksimatsionnye metody resheniya differentsial’nykh i integral’nykh uravnenij.) (Russian) Zbl 0708.65067 Kiev: Naukova Dumka. 304 p. R. 4.40 (1988). MSC: 65Lxx 65Mxx 65Nxx 65R20 65Dxx 65-02 41-02 65J99 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Approksimatsionnye metody resheniya differentsial'nykh i integral'nykh uravnenij (Russian). Kiev: Naukova Dumka (1988; Zbl 0708.65067)
Dzyadyk, V. K. An approximative-iterative method of polynomial approximation for solving the Cauchy problem for ordinary differential equations. (English) Zbl 0615.65083 U.S.S.R. Comput. Math. Math. Phys. 26, No. 2, 22-31 (1986). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, U.S.S.R. Comput. Math. Math. Phys. 26, No. 2, 22--31 (1986; Zbl 0615.65083) Full Text: DOI
Dzyadyk, V. K. On the theory of special functions and their approximations. (Russian) Zbl 0614.33014 Mat. Sb., N. Ser. 131(173), No. 4(12), 438-464 (1986). Reviewer: E.Riekstiņš MSC: 33C45 34A30 65D15 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Mat. Sb., Nov. Ser. 131(173), No. 4(12), 438--464 (1986; Zbl 0614.33014) Full Text: EuDML
Dzyadyk, V. K. An approximative-iterative method of polynomial approximation for solving the Cauchy problem for ordinary differential equations. (Russian) Zbl 0602.65051 Zh. Vychisl. Mat. Mat. Fiz. 26, No. 3, 357-372 (1986). Reviewer: S.Hitotumatu MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{V. K. Dzyadyk}, Zh. Vychisl. Mat. Mat. Fiz. 26, No. 3, 357--372 (1986; Zbl 0602.65051)
Dzyadik, V. Polynomial approximation to the solutions of the Cauchy and Goursat problems with applications. (English) Zbl 0574.34009 Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 35, 441-448 (1983). Reviewer: Fred Brauer (Madison) MSC: 65J99 41A10 34A12 PDFBibTeX XML
Dzyadyk, V. K.; Ostrovetskij, L. A. Approximation to the solution of the Goursat problem for linear differential equations of hyperbolic type with polynomial coefficients. (Russian) Zbl 0502.65072 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 8, 28-32 (1981). MSC: 65N30 65N15 35L70 PDFBibTeX XMLCite \textit{V. K. Dzyadyk} and \textit{L. A. Ostrovetskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 8, 28--32 (1981; Zbl 0502.65072)
Dzyadyk, V. K.; Podlipenko, Yu. K. A numerical algorithm for the solution of the nonlinear Goursat problem. (Russian) Zbl 0502.65071 Investigations in the theory of approximation of functions, Collect. sci. Works, Kiev 1981, 38-51 (1981). MSC: 65N30 35L70 PDFBibTeX XML
Dzyadyk, V. K.; Ostrovetskij, L. A. An approximate method for the solution of the Goursat problem for linear hyperbolic equations with polynomial coefficients. (Russian) Zbl 0499.35066 Investigations in the theory of approximation of functions, Collect. sci. Works, Kiev 1981, 20-38 (1981). MSC: 35L20 35A35 65N99 PDFBibTeX XML
Dzjadyk, V. K. One method of constructing Tikhonov-type normals in the solution of systems of linear equations. (English. Russian original) Zbl 0279.15004 Ukr. Math. J. 23(1971), 202-205 (1972); translation from Ukr. Mat. Zh. 23, 235-239 (1971). MSC: 15A06 65F35 65F99 PDFBibTeX XMLCite \textit{V. K. Dzjadyk}, Ukr. Math. J. 23, 202--205 (1972; Zbl 0279.15004); translation from Ukr. Mat. Zh. 23, 235--239 (1971) Full Text: DOI
Dzjadyk, V. K. Über die Abschätzung der Fehler, die bei der Anwendung der Netzmethode in der Theorie der Cebysevschen Approximationen von Funktionen entstehen. (Ukrainian) Zbl 0242.65017 Dopov. Akad. Nauk. Ukr. RSR, Ser. A 1971, 500-504 (1971). MSC: 65D15 PDFBibTeX XMLCite \textit{V. K. Dzjadyk}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 500--504 (1971; Zbl 0242.65017)
Dzyadyk, V. K.; Panasovich, V. A. Estimate of residue for some cubature formulas. (English) Zbl 0206.46904 Ukr. Math. J. 20(1968), 137-143 (1969). MSC: 65D32 PDFBibTeX XMLCite \textit{V. K. Dzyadyk} and \textit{V. A. Panasovich}, Ukr. Math. J. 20, 137--143 (1969; Zbl 0206.46904) Full Text: DOI