Makarov, V. L.; Romanyuk, N. M.; Lazurchak, I. I. Experimental and analytical investigation of properties of \(FD\)-method components in its application to Sturm-Liouville problem. (Ukrainian. English summary) Zbl 1313.65199 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 145-170 (2013). MSC: 65L15 34B24 65L20 34L16 PDF BibTeX XML Cite \textit{V. L. Makarov} et al., Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 3, 145--170 (2013; Zbl 1313.65199) OpenURL
Koshlyakov, V. M.; Makarov, V. L.; Dragunov, D. V. An analogue of the Erugin theorem for systems of second-order differential equations. (Ukrainian. English summary) Zbl 1164.70302 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 2, 21-25 (2008). MSC: 70E05 70K20 PDF BibTeX XML Cite \textit{V. M. Koshlyakov} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 2, 21--25 (2008; Zbl 1164.70302) OpenURL
Gavrilyuk, I. P.; Makarov, V. L.; Vasylyk, V. B. Exponentially convergent algorithm for a strongly damped differential equations of the second order with an operator coefficient in Banach space. (English) Zbl 1199.65175 Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 2, 245-260 (2007). MSC: 65J08 35L90 65M12 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} et al., Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 2, 245--260 (2007; Zbl 1199.65175) OpenURL
Makarov, V. L.; Ryabichev, V. L. Unimprovable accuracy estimates of the Cayley transformation method for calculating the operator cosine function. (Ukrainian. English summary) Zbl 1024.65042 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 12, 21-25 (2002). MSC: 65J10 34G10 65L05 PDF BibTeX XML Cite \textit{V. L. Makarov} and \textit{V. L. Ryabichev}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 12, 21--25 (2002; Zbl 1024.65042) OpenURL
Gavrilyuk, Ivan P.; Kulyk, Anatoli B.; Makarov, Vladimir L. Integral equations of the linear sloshing in an infinite chute and their discretization. (English) Zbl 1029.76004 Comput. Methods Appl. Math. 1, No. 1, 39-61 (2001). MSC: 76B10 76M25 65N15 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} et al., Comput. Methods Appl. Math. 1, No. 1, 39--61 (2001; Zbl 1029.76004) Full Text: DOI EuDML EMIS OpenURL
Gavrylyuk, I. P.; Kulik, A. B.; Makarov, V. L. Approximate solution of linear second order evolution problem with unbounded operator coefficient. (Ukrainian. English summary) Zbl 0982.65109 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 177-181 (1999). MSC: 65M70 65J10 34G10 65L05 65M15 35K90 PDF BibTeX XML Cite \textit{I. P. Gavrylyuk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 177--181 (1999; Zbl 0982.65109) OpenURL
Gavrilyuk, Ivan P.; Makarov, Vladimir L. Explicit and approximate solutions of second order elliptic differential equations in Hilbert and Banach spaces. (English) Zbl 0939.65085 Numer. Funct. Anal. Optimization 20, No. 7-8, 695-715 (1999). Reviewer: Gunther Schmidt (Berlin) MSC: 65J10 34G10 65N15 65N35 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Numer. Funct. Anal. Optim. 20, No. 7--8, 695--715 (1999; Zbl 0939.65085) Full Text: DOI Link OpenURL
Gavrilyuk, Ivan P.; Makarov, Vladimir L. Explicit and approximate solutions of second-order evolution differential equations in Hilbert space. (English) Zbl 0939.65084 Numer. Methods Partial Differ. Equations 15, No. 1, 111-131 (1999). Reviewer: G.Jumarie (Montréal) MSC: 65J10 35K90 34G10 65L05 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Numer. Methods Partial Differ. Equations 15, No. 1, 111--131 (1999; Zbl 0939.65084) Full Text: DOI OpenURL
Makarov, V. L.; Guminskij, V. V. FD-schemes of arbitrary-order accuracy (uniform with respect to \(\epsilon\)) for singularly perturbed systems of ordinary second-order differential equations with piecewise smooth coefficients. (English. Russian original) Zbl 0823.65077 Differ. Equations 30, No. 2, 267-275 (1994); translation from Differ. Uravn. 30, No. 2, 292-301 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 65L10 65L12 34B05 34E15 PDF BibTeX XML Cite \textit{V. L. Makarov} and \textit{V. V. Guminskij}, Differ. Equations 30, No. 2, 1 (1994; Zbl 0823.65077); translation from Differ. Uravn. 30, No. 2, 292--301 (1994) OpenURL
Gavrilyuk, I. P.; Makarov, V. L. Exact difference schemes for a class of nonlinear boundary-value problems and their applications. (English. Russian original) Zbl 0626.65077 Differ. Equations 22, 800-808 (1986); Translation from Differ. Uravn. 22, No. 7, 1155-1165 (1986). Reviewer: K.Balla MSC: 65L10 65N12 34B15 35J65 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Differ. Equations 22, 800--808 (1986; Zbl 0626.65077) OpenURL
Makarov, V. L.; Gavrilyuk, I. P.; Luzhnykh, V. M. A difference method to solve a Sturm-Liouville problem with degeneration at the boundary. I. (Russian) Zbl 0442.65076 Vychisl. Prikl. Mat., Kiev 40, 103-113 (1980). MSC: 65L15 34L99 PDF BibTeX XML Cite \textit{V. L. Makarov} et al., Vychisl. Prikl. Mat. 40, 103--113 (1980; Zbl 0442.65076) OpenURL
Makarov, V. L.; Arazmyradov, T. Über die Konstruktion partieller Lösungen von Resonanzdifferentialgleichungen. (Russian) Zbl 0402.35087 Differ. Uravn. 14, 1255-1261 (1978). MSC: 35R20 35P05 35J25 35C05 34G10 34A30 34A05 PDF BibTeX XML Cite \textit{V. L. Makarov} and \textit{T. Arazmyradov}, Differ. Uravn. 14, 1255--1261 (1978; Zbl 0402.35087) OpenURL