Karchevskij, M. M.; Lyashko, A. D.; Timerbaev, M. R. A finite element method for fourth-order quasilinear degenerating elliptic equations. (English. Russian original) Zbl 0937.65115 Differ. Equations 35, No. 2, 233-238 (1999); translation from Differ. Uravn. 35, No. 2, 232-237 (1999). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N30 35J65 65N15 PDFBibTeX XMLCite \textit{M. M. Karchevskij} et al., Differ. Equations 35, No. 2, 233--238 (1999; Zbl 0937.65115); translation from Differ. Uravn. 35, No. 2, 232--237 (1999)
Lékhtikov, S. N. A method for implementing schemes for elliptic equations. (English. Russian original) Zbl 0940.65124 Differ. Equations 35, No. 1, 133-136 (1999); translation from Differ. Uravn. 35, No. 1, 131-133 (1999). MSC: 65N30 65N55 35J25 65F10 PDFBibTeX XMLCite \textit{S. N. Lékhtikov}, Differ. Equations 35, No. 1, 133--136 (1999; Zbl 0940.65124); translation from Differ. Uravn. 35, No. 1, 131--133 (1999)
Abrashin, V. N.; Lékhtikov, S. N. Combination of alternating direction methods with finite-element methods for solving problems of mathematical physics. II. (English. Russian original) Zbl 0889.65104 Differ. Equations 32, No. 7, 893-901 (1996); translation from Differ. Uravn. 32, No. 7, 889-897 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 65M60 65F10 65M55 35K15 65M15 PDFBibTeX XMLCite \textit{V. N. Abrashin} and \textit{S. N. Lékhtikov}, Differ. Equations 32, No. 7, 893--901 (1996; Zbl 0889.65104); translation from Differ. Uravn. 32, No. 7, 889--897 (1996)
Makarov, I. L. Exact and truncated variational schemes for a selfadjoint spectral problem for a fourth-order equation. (English. Russian original) Zbl 0882.65070 Differ. Equations 32, No. 5, 679-684 (1996); translation from Differ. Uravn. 32, No. 5, 670-675 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 65L15 65L60 34L15 PDFBibTeX XMLCite \textit{I. L. Makarov}, Differ. Equations 32, No. 5, 679--684 (1996; Zbl 0882.65070); translation from Differ. Uravn. 32, No. 5, 670--675 (1996)
Nikolaev, E. S.; Orlov, K. L. Modified marching algorithm for solving a system of three-point vector equations. (English. Russian original) Zbl 0852.65023 Differ. Equations 31, No. 5, 808-818 (1995); translation from Differ. Uravn. 31, No. 5, 870-881 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 65F05 65N30 65N06 35J25 PDFBibTeX XMLCite \textit{E. S. Nikolaev} and \textit{K. L. Orlov}, Differ. Equations 31, No. 5, 808--818 (1995; Zbl 0852.65023); translation from Differ. Uravn. 31, No. 5, 870--881 (1995)
Timerbaev, M. R.; Lyashko, A. D. Estimates of the discretization error of finite-element method for quasilinear degenerate second-order elliptic equations. (English. Russian original) Zbl 0852.65100 Differ. Equations 30, No. 7, 1147-1151 (1994); translation from Differ. Uravn. 30, No. 7, 1239-1243 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 65N30 65N15 65N12 35J65 PDFBibTeX XMLCite \textit{M. R. Timerbaev} and \textit{A. D. Lyashko}, Differ. Equations 30, No. 7, 1147--1151 (1994; Zbl 0852.65100); translation from Differ. Uravn. 30, No. 7, 1239--1243 (1994)
Blatov, I. A. The Galerkin finite-element method for singularly perturbed elliptic quasilinear boundary value problems. III: Problems with corner boundary layers. (English. Russian original) Zbl 0824.65113 Differ. Equations 30, No. 3, 432-444 (1994); translation from Differ. Uravn. 30, No. 3, 467-479 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 65N30 65N15 35B25 35J65 PDFBibTeX XMLCite \textit{I. A. Blatov}, Differ. Equations 30, No. 3, 1 (1994; Zbl 0824.65113); translation from Differ. Uravn. 30, No. 3, 467--479 (1994)
Abrashin, V. N.; Dzyuba, I. A. Economical iterative methods for solving multidimensional problems in mathematical physics. II. (English. Russian original) Zbl 0827.65101 Differ. Equations 30, No. 2, 257-266 (1994); translation from Differ. Uravn. 30, No. 2, 281-291 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 65N06 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{V. N. Abrashin} and \textit{I. A. Dzyuba}, Differ. Equations 30, No. 2, 1 (1994; Zbl 0827.65101); translation from Differ. Uravn. 30, No. 2, 281--291 (1994)
Lyashko, A. D.; Timerbaev, M. R. Accuracy estimates for the schemes of finite-element method for second- order degenerate elliptic equations. (English. Russian original) Zbl 0833.65121 Differ. Equations 29, No. 7, 1049-1053 (1993); translation from Differ. Uravn. 29, No. 7, 1210-1215 (1993). MSC: 65N30 65N15 35J25 35J70 PDFBibTeX XMLCite \textit{A. D. Lyashko} and \textit{M. R. Timerbaev}, Differ. Equations 29, No. 7, 1 (1993; Zbl 0833.65121); translation from Differ. Uravn. 29, No. 7, 1210--1215 (1993)
Bobonova, E. N.; Strygin, V. V. Collocation method for linear singularly perturbed boundary value problems on nonuniform meshes. (English. Russian original) Zbl 0834.65072 Differ. Equations 29, No. 7, 992-1003 (1993); translation from Differ. Uravn. 29, No. 7, 1144-1155 (1993). MSC: 65L10 65L60 65L50 34B05 34E10 PDFBibTeX XMLCite \textit{E. N. Bobonova} and \textit{V. V. Strygin}, Differ. Equations 29, No. 7, 1 (1993; Zbl 0834.65072); translation from Differ. Uravn. 29, No. 7, 1144--1155 (1993)
Belukhina, I. G. On the accuracy of linear triangle elements in problems of elasticity theory with crack singularities. (English. Russian original) Zbl 0833.73049 Differ. Equations 29, No. 7, 986-991 (1993); translation from Differ. Uravn. 29, No. 7, 1137-1143 (1993). MSC: 74S05 74B99 74H99 74R99 74B05 PDFBibTeX XMLCite \textit{I. G. Belukhina}, Differ. Equations 29, No. 7, 1 (1993; Zbl 0833.73049); translation from Differ. Uravn. 29, No. 7, 1137--1143 (1993)
Blatov, I. A. Galerkin’s finite-element method for elliptic quasilinear singularly perturbed boundary problems. II. (English. Russian original) Zbl 0810.65106 Differ. Equations 28, No. 10, 1469-1477 (1992); translation from Differ. Uravn. 28, No. 10, 1799-1810 (1992). MSC: 65N30 35B25 35J65 PDFBibTeX XMLCite \textit{I. A. Blatov}, Differ. Equations 28, No. 10, 1799--1810 (1992; Zbl 0810.65106); translation from Differ. Uravn. 28, No. 10, 1799--1810 (1992)
Blatov, I. A. Galerkin’s finite-element method for elliptic quasilinear singularly perturbed boundary problems. I. (English. Russian original) Zbl 0801.65110 Differ. Equations 28, No. 7, 931-940 (1992); translation from Differ. Uravn. 28, No. 7, 1168-1177 (1992). MSC: 65N30 65N15 35B25 35J65 PDFBibTeX XMLCite \textit{I. A. Blatov}, Differ. Equations 28, No. 7, 1168--1177 (1992; Zbl 0801.65110); translation from Differ. Uravn. 28, No. 7, 1168--1177 (1992)
Zhelezovskaya, L. A.; Zhelezovskij, S. E. Rate of convergence of the Rothe-Galerkin method for hyperbolic equations. (English. Russian original) Zbl 0788.65094 Differ. Equations 28, No. 2, 261-269 (1992); translation from Differ. Uravn. 28, No. 2, 305-316 (1992). MSC: 65M20 65M60 65M15 65M12 35L15 PDFBibTeX XMLCite \textit{L. A. Zhelezovskaya} and \textit{S. E. Zhelezovskij}, Differ. Equations 28, No. 2, 261--269 (1992; Zbl 0788.65094); translation from Differ. Uravn. 28, No. 2, 305--316 (1992)
Blatov, I. A.; Strygin, V. V. Convergence of the spline-collocation method for singularly perturbed boundary-value problems on locally uniform meshes. (English. Russian original) Zbl 0713.65047 Differ. Equations 26, No. 7, 869-875 (1990); translation from Differ. Uravn. 26, No. 7, 1191-1197 (1990). Reviewer: I.Grosu MSC: 65L10 65L60 34E15 34B05 PDFBibTeX XMLCite \textit{I. A. Blatov} and \textit{V. V. Strygin}, Differ. Equations 26, No. 7, 869--875 (1990; Zbl 0713.65047); translation from Differ. Uravn. 26, No. 7, 1191--1197 (1990)
Zhelezovskaya, L. A.; Zhelezovskij, S. E.; Kirichenko, V. F.; Krys’ko, V. A. Rate of convergence of the Bubnov-Galerkin method for hyperbolic equations. (English. Russian original) Zbl 0702.65057 Differ. Equations 26, No. 2, 251-258 (1990); translation from Differ. Uravn. 26, No. 2, 323-333 (1990). MSC: 65J10 65M60 65M15 35R20 34G10 35L15 PDFBibTeX XMLCite \textit{L. A. Zhelezovskaya} et al., Differ. Equations 26, No. 2, 251--258 (1990; Zbl 0702.65057); translation from Differ. Uravn. 26, No. 2, 323--333 (1990)
Zhelezovskij, S. E.; Kirichenko, V. F.; Krys’ko, V. A. Rate of convergence of the Rothe-Galerkin method for a nonclassical differential-equation system. (English. Russian original) Zbl 0698.65033 Differ. Equations 25, No. 7, 857-866 (1989); translation from Differ. Uravn. 25, No. 7, 1208-1219 (1989). MSC: 65J10 65L05 65L60 74F05 34G10 PDFBibTeX XMLCite \textit{S. E. Zhelezovskij} et al., Differ. Equations 25, No. 7, 857--866 (1989; Zbl 0698.65033); translation from Differ. Uravn. 25, No. 7, 1208--1219 (1989)
Makarov, V. L.; Makarov, S. V. Accuracy of difference schemes for quasilinear elliptic equations in a rhombus, with solutions from the classes \(W^ k_ 2(\Omega),1<k\leq 4\). (English. Russian original) Zbl 0692.65057 Differ. Equations 25, No. 7, 884-892 (1989); translation from Differ. Uravn. 25, No. 7, 1240-1249 (1989). MSC: 65N30 35J65 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{S. V. Makarov}, Differ. Equations 25, No. 7, 884--892 (1989; Zbl 0692.65057); translation from Differ. Uravn. 25, No. 7, 1240--1249 (1989)
Zarubin, A. G. Mixed boundary-value problems in a nonsmooth domain for quasilinear equations containing a biharmonic operator. (English. Russian original) Zbl 0654.35037 Differ. Equations 23, No. 6, 690-696 (1987); translation from Differ. Uravn. 23, No. 6, 1021-1029 (1987). Reviewer: J.H.Tian MSC: 35J65 35J40 65N30 PDFBibTeX XMLCite \textit{A. G. Zarubin}, Differ. Equations 23, No. 6, 690--696 (1987; Zbl 0654.35037); translation from Differ. Uravn. 23, No. 6, 1021--1029 (1987)
Zhelezovskij, S. E.; Kirichenko, V. F.; Krys’ko, V. A. The rate of convergence of the Bubnov-Galerkin method for a nonclassical system of differential equations. (English) Zbl 0643.65043 Differ. Equations 23, No. 8, 966-974 (1987). MSC: 65L05 65L60 34A30 PDFBibTeX XMLCite \textit{S. E. Zhelezovskij} et al., Differ. Equations 23, No. 8, 966--974 (1987; Zbl 0643.65043)
Zarubin, A. G. Rate of convergence of the Rothe-Galerkin method for operator differential equations. (English. Russian original) Zbl 0627.65070 Differ. Equations 22, 1471-1478 (1986); translation from Differ. Uravn. 22, No. 12, 2135-2144 (1986). Reviewer: H.Marcinkowska MSC: 65J15 65L05 65N30 65N40 34G20 35G10 35K25 PDFBibTeX XMLCite \textit{A. G. Zarubin}, Differ. Equations 22, 1471--1478 (1986; Zbl 0627.65070); translation from Differ. Uravn. 22, No. 12, 2135--2144 (1986)
Lavery, J. Iterative solution of systems of quasilinear elliptic equations in n- dimensional space. (English. Russian original) Zbl 0606.65076 Differ. Equations 22, 737-746 (1986); translation from Differ. Uravn. 22, No. 6, 1035-1046 (1986). Reviewer: V.Drápalík MSC: 65N30 65N15 35J65 PDFBibTeX XMLCite \textit{J. Lavery}, Differ. Equations 22, 737--746 (1986; Zbl 0606.65076); translation from Differ. Uravn. 22, No. 6, 1035--1046 (1986)
Dautov, R. Z. Superconvergence of finite element method schemes with numerical integration for quasilinear fourth-order elliptic equations. (English. Russian original) Zbl 0529.65067 Differ. Equations 18, 818-824 (1983); translation from Differ. Uravn. 18, 1172-1181 (1982). MSC: 65N30 65N50 35J65 PDFBibTeX XMLCite \textit{R. Z. Dautov}, Differ. Equations 18, 818--824 (1983; Zbl 0529.65067); translation from Differ. Uravn. 18, 1172--1181 (1982)
Dautov, R. Z.; Lapin, A. V. Investigation of the convergence, in mesh norms, of finite-elementmethod schemes with numerical integration for fourth-order elliptic equations. (English. Russian original) Zbl 0492.65061 Differ. Equations 17, 807-817 (1982); translation from Differ. Uravn. 17, 1256-1269 (1981). MSC: 65N30 35J65 PDFBibTeX XMLCite \textit{R. Z. Dautov} and \textit{A. V. Lapin}, Differ. Equations 17, 807--817 (1982; Zbl 0492.65061); translation from Differ. Uravn. 17, 1256--1269 (1981)
Kirichenko, V. F.; Krys’ko, V. A. Solution of nonlinear boundary-value problems by the Kantorovich-Vlasov method. (English) Zbl 0467.35046 Differ. Equations 16, 1389-1391 (1981). MSC: 35J65 35J60 65N30 35A35 PDFBibTeX XMLCite \textit{V. F. Kirichenko} and \textit{V. A. Krys'ko}, Differ. Equations 16, 1389--1391 (1981; Zbl 0467.35046)
Moskal’kov, M. N. High-accuracy finite-element-method schemes for the solution of nonstationary second-order equations. (English) Zbl 0455.65041 Differ. Equations 16, 814-821 (1981). MSC: 65J10 65L05 34G10 PDFBibTeX XMLCite \textit{M. N. Moskal'kov}, Differ. Equations 16, 814--821 (1981; Zbl 0455.65041)
Smagin, V. V. The rate of convergence of Galerkin’s method of solving a quasilinear abstract parabolic equation. (English. Russian original) Zbl 0447.65029 Differ. Equations 15, 1229-1230 (1980); translation from Differ. Uravn. 15, 1720-1721 (1979). MSC: 65J15 35G10 35K25 65N30 PDFBibTeX XMLCite \textit{V. V. Smagin}, Differ. Equations 15, 1229--1230 (1980; Zbl 0447.65029); translation from Differ. Uravn. 15, 1720--1721 (1979)
Gabdulkhaev, B. G. Optimization of projection methods of solving differential equations. (English) Zbl 0408.65034 Differ. Equations 14, 1343-1351 (1979). MSC: 65J10 65L05 65N30 65N35 PDFBibTeX XMLCite \textit{B. G. Gabdulkhaev}, Differ. Equations 14, 1343--1351 (1979; Zbl 0408.65034)
Boziev, L. A. An estimate of the rate of convergence of the Ritz method and the least- squares method for certain problems. (English) Zbl 0395.65062 Differ. Equations 13, 1305-1307 (1977). MSC: 65N30 35A35 35J25 PDFBibTeX XMLCite \textit{L. A. Boziev}, Differ. Equations 13, 1305--1307 (1977; Zbl 0395.65062)