Volkov, E. A. Application of a 14-point averaging operator in the grid method. (Russian, English) Zbl 1224.65241 Zh. Vychisl. Mat. Mat. Fiz. 50, No. 12, 2134-2143 (2010); translation in Comput. Math. Math. Phys. 50, No. 12, 2023-2032 (2010). MSC: 65N06 65N50 35J05 65N12 PDFBibTeX XMLCite \textit{E. A. Volkov}, Zh. Vychisl. Mat. Mat. Fiz. 50, No. 12, 2134--2143 (2010; Zbl 1224.65241); translation in Comput. Math. Math. Phys. 50, No. 12, 2023--2032 (2010) Full Text: DOI
Volkov, E. A. Modified combined grid method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (Russian, English) Zbl 1224.35077 Zh. Vychisl. Mat. Mat. Fiz. 50, No. 2, 286-297 (2010); translation in Comput. Math., Math. Phys. 50, No. 2, 274-284 (2010). MSC: 35J05 65M55 PDFBibTeX XMLCite \textit{E. A. Volkov}, Zh. Vychisl. Mat. Mat. Fiz. 50, No. 2, 286--297 (2010; Zbl 1224.35077); translation in Comput. Math., Math. Phys. 50, No. 2, 274--284 (2010) Full Text: DOI
Volkov, E. A. A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (Russian, English) Zbl 1224.35076 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 3, 512-517 (2009); translation in Comput. Math., Math. Phys. 49, No. 3, 496-501 (2009). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{E. A. Volkov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 3, 512--517 (2009; Zbl 1224.35076); translation in Comput. Math., Math. Phys. 49, No. 3, 496--501 (2009) Full Text: DOI
Volkov, E. A. On the convergence in \(C_h^1\) of the difference solution to the Laplace equation in a rectangular parallelepiped. (Russian, English) Zbl 1117.65364 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 9, 1587-1593 (2005); translation in Comput. Math. Math. Phys. 45, No. 9, 1531-1537 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{E. A. Volkov}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 9, 1587--1593 (2005; Zbl 1117.65364); translation in Comput. Math. Math. Phys. 45, No. 9, 1531--1537 (2005)
Volkov, E. A. On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (English) Zbl 1055.65116 Russ. J. Numer. Anal. Math. Model. 19, No. 3, 269-278 (2004). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Russ. J. Numer. Anal. Math. Model. 19, No. 3, 269--278 (2004; Zbl 1055.65116) Full Text: DOI
Volkov, E. A. A method of composite grids on a prism with an arbitrary polygonal base. (English. Russian original) Zbl 1074.65121 Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 243, 131-153 (2003); translation from Tr. Mat. Inst. Steklova 243, 138-160 (2003). MSC: 65N06 65N12 65N50 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, in: Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. 131--153 (2003; Zbl 1074.65121); translation from Tr. Mat. Inst. Steklova 243, 138--160 (2003)
Volkov, E. A. On upper and lower bounds of the error of the difference solution to the Dirichlet problem for the Laplace equation in a cylinder. (English) Zbl 1003.65122 Russ. J. Numer. Anal. Math. Model. 17, No. 3, 305-317 (2002). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N15 65N06 35J05 65N12 PDFBibTeX XMLCite \textit{E. A. Volkov}, Russ. J. Numer. Anal. Math. Model. 17, No. 3, 305--317 (2002; Zbl 1003.65122) Full Text: DOI
Volkov, E. A. Cases when the solution of the Dirichlet problem for the Laplace equation on a polygon is a polynomial. (English. Russian original) Zbl 1047.31002 Dokl. Math. 63, No. 1, 82-84 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 5, 587-589 (2001). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31A25 35J25 PDFBibTeX XMLCite \textit{E. A. Volkov}, Dokl. Math. 63, No. 1, 587--589 (2001; Zbl 1047.31002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 5, 587--589 (2001)
Volkov, E. A. On the grid method for solving the Dirichlet problem for the Laplace equation in a cylinder with lateral surface of class \(C_{1,1}\). (English) Zbl 0978.65095 Russ. J. Numer. Anal. Math. Model. 15, No. 6, 521-538 (2000). Reviewer: Vladimir L.Makarov (Kyïv) MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Russ. J. Numer. Anal. Math. Model. 15, No. 6, 521--538 (2000; Zbl 0978.65095) Full Text: DOI
Volkov, E. A. On convergence in \(C_2\) of a difference solution of the Laplace equation on a rectangle. (English) Zbl 0945.65116 Russ. J. Numer. Anal. Math. Model. 14, No. 3, 291-298 (1999). Reviewer: Ziwen Jiang (Shandong) MSC: 65N12 65N06 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Russ. J. Numer. Anal. Math. Model. 14, No. 3, 291--298 (1999; Zbl 0945.65116) Full Text: DOI
Volkov, E. A.; Kornoukhov, A. K.; Yakovleva, E. A. Experimental investigation of the block method for the Laplace equation on polygons. (English. Russian original) Zbl 0968.65096 Comput. Math. Math. Phys. 38, No. 9, 1481-1489 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1544-1552 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65N30 35J05 65N12 65N15 PDFBibTeX XMLCite \textit{E. A. Volkov} et al., Comput. Math. Math. Phys. 38, No. 9, 1481--1489 (1998; Zbl 0968.65096); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1544--1552 (1998)
Volkov, E. A. The fast block method for solving the Laplace equation on polygons under piecewise constant boundary conditions. (English. Russian original) Zbl 0902.65060 Mishchenko, E. F. (ed.) et al., The theory of functions and differential equations. Collected papers. In honor of the ninetieth birthday of Academician Sergej Mikhailovich Nikol’skij. Birmingham, AL: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 210, 66-73 (1995); translation from Tr. Mat. Inst. Steklova 210, 90-100 (1995). MSC: 65N35 65N12 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, in: The theory of functions and differential equations. Collected papers. In honor of the ninetieth birthday of Academician Sergej Mikhailovich Nikol'skij. Birmingham, AL: MAIK Nauka/Interperiodica Publishing. 66--73 (1995; Zbl 0902.65060); translation from Tr. Mat. Inst. Steklova 210, 90--100 (1995)
Volkov, E. A. A fast block method for solving the Laplace equation on polygons with nonlocal boundary conditions. (English. Russian original) Zbl 0875.65093 Dokl. Math. 51, No. 3, 314-317 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 11-14 (1995). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Dokl. Math. 51, No. 3, 314--317 (1995; Zbl 0875.65093); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 11--14 (1995)
Volkov, E. A. Block method for solving the Laplace equation and for constructing conformal mappings. (English) Zbl 0914.65112 Boca Raton, FL: CRC Press. x, 227 p. (1994). MSC: 65N38 35J05 31A10 65F10 65N12 30C30 65-02 PDFBibTeX XMLCite \textit{E. A. Volkov}, Block method for solving the Laplace equation and for constructing conformal mappings. Boca Raton, FL: CRC Press (1994; Zbl 0914.65112)
Volkov, E. A. Approximate solution of Laplace’s equation by the block method on polygons under nonanalytic boundary conditions. (English. Russian original) Zbl 0801.65103 Proc. Steklov Inst. Math. 194, 65-90 (1993); translation from Tr. Mat. Steklova 194, 63-88 (1992). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, in: Theory and applications of differentiable functions of several variables. 14. Providence, RI: American Mathematical Society. 1 (1992; Zbl 0801.65103); translation from Tr. Mat. Steklova 194, 63--88 (1992)
Volkov, E. A. An asymptotically fast approximate method for the determination of a solution of the difference Laplace equation on network segments. (English) Zbl 0643.65060 Proc. Steklov Inst. Math. 173, 71-92 (1987). MSC: 65N22 65F10 35J05 65N12 PDFBibTeX XMLCite \textit{E. A. Volkov}, Proc. Steklov Inst. Math. 173, 71--92 (1987; Zbl 0643.65060)
Volkov, E. A. An asymptotically fast approximate method for the determination of the solution of the difference Laplace equation on network segments. (Russian) Zbl 0628.65095 Tr. Mat. Inst. Steklova 173, 69-89 (1986). Reviewer: P.Polcar MSC: 65N22 65F10 35J05 65N12 PDFBibTeX XMLCite \textit{E. A. Volkov}, Tr. Mat. Inst. Steklova 173, 69--89 (1986; Zbl 0628.65095)
Volkov, E. A. On an asymptotically fast approximate method of obtaining a solution of the Laplace difference equation on mesh segments. (English. Russian original) Zbl 0601.65090 Sov. Math., Dokl. 30, 642-646 (1984); translation from Dokl. Akad. Nauk SSSR 279, 285-290 (1984). MSC: 65Q05 65N22 39A10 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Sov. Math., Dokl. 30, 642--646 (1984; Zbl 0601.65090); translation from Dokl. Akad. Nauk SSSR 279, 285--290 (1984)
Volkov, E. A. An economical composite difference method for the Dirichlet problem in a piecewise homogeneous medium. (English. Russian original) Zbl 0594.65073 Proc. Steklov Inst. Math. 163, 61-87 (1985); translation from Tr. Mat. Inst. Steklova 163, 49-73 (1984). MSC: 65N06 65N22 35J25 65N12 65F10 PDFBibTeX XMLCite \textit{E. A. Volkov}, Proc. Steklov Inst. Math. 163, 61--87 (1984; Zbl 0594.65073); translation from Tr. Mat. Inst. Steklova 163, 49--73 (1984)
Volkov, E. A. An efficient cubic mesh method for solving Laplace’s equation on a parallelepiped under discontinuous boundary conditions. (English) Zbl 0517.65067 Proc. Steklov Inst. Math. 156, 31-49 (1983). MSC: 65N12 65N15 35J05 35J25 65N06 PDFBibTeX XMLCite \textit{E. A. Volkov}, Proc. Steklov Inst. Math. 156, 31--49 (1983; Zbl 0517.65067)
Volkov, E. A. On the solution of Laplace’s equation on a parallelepiped with discontinuous boundary conditions by methods of uniform and composite grids. (English. Russian original) Zbl 0405.65054 Sov. Math., Dokl. 19, 451-454 (1978); translation from Dokl. Akad. Nauk SSSR 239, 1029-1032 (1978). MSC: 65N12 65N06 65N15 65N22 35J05 PDFBibTeX XMLCite \textit{E. A. Volkov}, Sov. Math., Dokl. 19, 451--454 (1978; Zbl 0405.65054); translation from Dokl. Akad. Nauk SSSR 239, 1029--1032 (1978)
Volkov, E. A. A net method for finite and infinite regions with piecewise smooth boundary. (English. Russian original) Zbl 0227.65050 Sov. Math., Dokl. 7, 744-747 (1966); translation from Dokl. Akad. Nauk SSSR 168, 978-981 (1966). Reviewer: A. Haimovici (M.R. 196964) MSC: 65N06 PDFBibTeX XMLCite \textit{E. A. Volkov}, Sov. Math., Dokl. 7, 744--747 (1966; Zbl 0227.65050); translation from Dokl. Akad. Nauk SSSR 168, 978--981 (1966) Full Text: MNR