Zhou, Yanhui; Wu, Jiming A family of quadratic finite volume element schemes over triangular meshes for elliptic equations. (English) Zbl 1437.65169 Comput. Math. Appl. 79, No. 9, 2473-2491 (2020). MSC: 65N08 65N15 65N12 35J15 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{J. Wu}, Comput. Math. Appl. 79, No. 9, 2473--2491 (2020; Zbl 1437.65169) Full Text: DOI
Wang, Tingchun; Jiang, Jiaping; Xue, Xiang Unconditional and optimal \(H^{1}\) error estimate of a Crank-Nicolson finite difference scheme for the Gross-Pitaevskii equation with an angular momentum rotation term. (English) Zbl 1379.65066 J. Math. Anal. Appl. 459, No. 2, 945-958 (2018). MSC: 65M06 65M15 65M12 35Q76 35Q82 35Q55 PDF BibTeX XML Cite \textit{T. Wang} et al., J. Math. Anal. Appl. 459, No. 2, 945--958 (2018; Zbl 1379.65066) Full Text: DOI
Anakira, N. R. Numerical solution for solving the quadratic Riccati differential equations by multistage optimal homotopy asymptotic method. (English) Zbl 1368.65106 Far East J. Math. Sci. (FJMS) 101, No. 4, 839-853 (2017). MSC: 65L05 34A34 65L20 PDF BibTeX XML Cite \textit{N. R. Anakira}, Far East J. Math. Sci. (FJMS) 101, No. 4, 839--853 (2017; Zbl 1368.65106) Full Text: DOI Link
Njeru, Patrick Njue; Guo, Xue-Ping Accelerated SOR-like method for augmented linear systems. (English) Zbl 1341.65015 BIT 56, No. 2, 557-571 (2016). MSC: 65F10 PDF BibTeX XML Cite \textit{P. N. Njeru} and \textit{X.-P. Guo}, BIT 56, No. 2, 557--571 (2016; Zbl 1341.65015) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi A Petrov-Galerkin finite element method for fractional convection-diffusion equations. (English) Zbl 1335.65092 SIAM J. Numer. Anal. 54, No. 1, 481-503 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J25 35R11 PDF BibTeX XML Cite \textit{B. Jin} et al., SIAM J. Numer. Anal. 54, No. 1, 481--503 (2016; Zbl 1335.65092) Full Text: DOI arXiv
Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Führer, Thomas Adaptive boundary element methods for optimal convergence of point errors. (English) Zbl 1338.65259 Numer. Math. 132, No. 3, 541-567 (2016). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65N50 65Y20 35J05 65N12 65N15 PDF BibTeX XML Cite \textit{M. Feischl} et al., Numer. Math. 132, No. 3, 541--567 (2016; Zbl 1338.65259) Full Text: DOI
Brousek, Jan; Franková, Pavla; Hanuš, Milan; Kopincová, Hana; Kužel, Roman; Tezaur, Radek; Vaněk, Petr; Vastl, Zbyněk An overview of multilevel methods with aggressive coarsening and massive polynomial smoothing. (English) Zbl 1327.65058 ETNA, Electron. Trans. Numer. Anal. 44, 401-442 (2015). MSC: 65F10 65M55 PDF BibTeX XML Cite \textit{J. Brousek} et al., ETNA, Electron. Trans. Numer. Anal. 44, 401--442 (2015; Zbl 1327.65058) Full Text: EMIS
Luan, Shu Nonexistence and existence results of an optimal control problem governed by a class of multisolution semilinear elliptic equations. (English) Zbl 1326.49008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 380-390 (2015). MSC: 49J20 49J45 35J61 PDF BibTeX XML Cite \textit{S. Luan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 128, 380--390 (2015; Zbl 1326.49008) Full Text: DOI
Horsin, Thierry; Kogut, Peter I. Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. I: Existence result. (English) Zbl 1326.49005 Math. Control Relat. Fields 5, No. 1, 73-96 (2015). MSC: 49J20 49J45 35J57 35J75 PDF BibTeX XML Cite \textit{T. Horsin} and \textit{P. I. Kogut}, Math. Control Relat. Fields 5, No. 1, 73--96 (2015; Zbl 1326.49005) Full Text: DOI arXiv
Janka, Dennis Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. (English) Zbl 1326.65076 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 222 p. (2015). MSC: 65K10 49J15 49M37 65L80 62K05 62F10 90C30 90C35 PDF BibTeX XML Cite \textit{D. Janka}, Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1326.65076) Full Text: Link
Aleksandrov, V. M. Optimal control of linear systems with interval constraints. (English. Russian original) Zbl 1318.65032 Comput. Math. Math. Phys. 55, No. 5, 749-765 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 5, 758-775 (2015). MSC: 65K10 49J15 49M25 PDF BibTeX XML Cite \textit{V. M. Aleksandrov}, Comput. Math. Math. Phys. 55, No. 5, 749--765 (2015; Zbl 1318.65032); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 5, 758--775 (2015) Full Text: DOI
Liu, Yang; Du, Yanwei; Li, Hong; Wang, Jinfeng An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation. (English) Zbl 1319.65097 J. Appl. Math. Comput. 47, No. 1-2, 103-117 (2015). MSC: 65M60 35K57 35R11 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Appl. Math. Comput. 47, No. 1--2, 103--117 (2015; Zbl 1319.65097) Full Text: DOI
Lin, Tao; Lin, Yanping; Zhang, Xu Partially penalized immersed finite element methods for elliptic interface problems. (English) Zbl 1316.65104 SIAM J. Numer. Anal. 53, No. 2, 1121-1144 (2015). MSC: 65N30 35J25 35R05 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{T. Lin} et al., SIAM J. Numer. Anal. 53, No. 2, 1121--1144 (2015; Zbl 1316.65104) Full Text: DOI arXiv
Babolian, E.; Jalili, M. Application of the homotopy-Padé technique in the prediction of optimal convergence-control parameter. (English) Zbl 1314.65091 Comput. Appl. Math. 34, No. 1, 375-388 (2015). MSC: 65L05 34A34 65L20 34A25 PDF BibTeX XML Cite \textit{E. Babolian} and \textit{M. Jalili}, Comput. Appl. Math. 34, No. 1, 375--388 (2015; Zbl 1314.65091) Full Text: DOI
Broersen, Dirk; Stevenson, Rob P. A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form. (English) Zbl 1311.65144 IMA J. Numer. Anal. 35, No. 1, 39-73 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 65N12 65N15 PDF BibTeX XML Cite \textit{D. Broersen} and \textit{R. P. Stevenson}, IMA J. Numer. Anal. 35, No. 1, 39--73 (2015; Zbl 1311.65144) Full Text: DOI
Merluşcă, Diana R. Application of the Fenchel theorem to the obstacle problem. (English) Zbl 1325.65094 Pötzsche, Christian (ed.) et al., System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Heidelberg: Springer (ISBN 978-3-662-45503-6/hbk; 978-3-662-45504-3/ebook). IFIP Advances in Information and Communication Technology 443, 181-188 (2014). MSC: 65K10 49J20 49M25 49M37 PDF BibTeX XML Cite \textit{D. R. Merluşcă}, IFIP Adv. Inf. Commun. Technol. 443, 181--188 (2014; Zbl 1325.65094) Full Text: DOI
Gao, Huadong Optimal error estimates of a linearized backward Euler FEM for the Landau-Lifshitz equation. (English) Zbl 1310.65125 SIAM J. Numer. Anal. 52, No. 5, 2574-2593 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 35Q60 PDF BibTeX XML Cite \textit{H. Gao}, SIAM J. Numer. Anal. 52, No. 5, 2574--2593 (2014; Zbl 1310.65125) Full Text: DOI
Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. (English) Zbl 1293.65137 Numer. Algorithms 66, No. 2, 269-298 (2014). MSC: 65M99 65M12 65K10 49J20 35Q35 PDF BibTeX XML Cite \textit{M. Baxter} et al., Numer. Algorithms 66, No. 2, 269--298 (2014; Zbl 1293.65137) Full Text: DOI
Saberi Nik, H.; Effati, S.; Motsa, S. S.; Shirazian, M. Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. (English) Zbl 1284.65080 Numer. Algorithms 65, No. 1, 171-194 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J20 49M25 PDF BibTeX XML Cite \textit{H. Saberi Nik} et al., Numer. Algorithms 65, No. 1, 171--194 (2014; Zbl 1284.65080) Full Text: DOI
Behl, Ramandeep; Kanwar, V. Variants of Chebyshev’s method with optimal order of convergence. (English) Zbl 1303.65035 Tamsui Oxf. J. Inf. Math. Sci. 29, No. 1, 39-53 (2013). Reviewer: T. C. Mohan (Chennai) MSC: 65H05 PDF BibTeX XML Cite \textit{R. Behl} and \textit{V. Kanwar}, Tamsui Oxf. J. Inf. Math. Sci. 29, No. 1, 39--53 (2013; Zbl 1303.65035)
Abbasbandy, S.; Jalili, M. Determination of optimal convergence-control parameter value in homotopy analysis method. (English) Zbl 1283.65073 Numer. Algorithms 64, No. 4, 593-605 (2013). MSC: 65L10 34B15 65L20 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{M. Jalili}, Numer. Algorithms 64, No. 4, 593--605 (2013; Zbl 1283.65073) Full Text: DOI
Vaněk, Petr; Brezina, Marian Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing. (English) Zbl 1289.65064 Appl. Math., Praha 58, No. 4, 369-388 (2013). Reviewer: Jakub Šístek (Praha) MSC: 65F10 65N55 PDF BibTeX XML Cite \textit{P. Vaněk} and \textit{M. Brezina}, Appl. Math., Praha 58, No. 4, 369--388 (2013; Zbl 1289.65064) Full Text: DOI
Wang, Fei Discontinuous Galerkin methods for solving double obstacle problem. (English) Zbl 1276.65038 Numer. Methods Partial Differ. Equations 29, No. 2, 706-720 (2013). Reviewer: Elena Resmerita (Linz) MSC: 65K15 49J40 49M25 PDF BibTeX XML Cite \textit{F. Wang}, Numer. Methods Partial Differ. Equations 29, No. 2, 706--720 (2013; Zbl 1276.65038) Full Text: DOI
Mikami, Toshio A characterization of the Knothe-Rosenblatt processes by a convergence result. (English) Zbl 1252.93137 SIAM J. Control Optim. 50, No. 4, 1903-1920 (2012). MSC: 93E20 49L25 60H15 PDF BibTeX XML Cite \textit{T. Mikami}, SIAM J. Control Optim. 50, No. 4, 1903--1920 (2012; Zbl 1252.93137) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia Mathematical models in contact mechanics. (English) Zbl 1255.49002 London Mathematical Society Lecture Note Series 398. Cambridge: Cambridge University Press (ISBN 978-1-107-60665-4/pbk; 978-1-139-10416-6/ebook). xiv, 280 p. (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 49-02 49S05 74M15 47J20 PDF BibTeX XML Cite \textit{M. Sofonea} and \textit{A. Matei}, Mathematical models in contact mechanics. Cambridge: Cambridge University Press (2012; Zbl 1255.49002) Full Text: DOI
Wang, Kaizhi; Li, Yong Existence and monotonicity property of minimizers of a nonconvex variational problem with a second-order Lagrangian. (English) Zbl 1170.49004 Discrete Contin. Dyn. Syst. 25, No. 2, 687-699 (2009). MSC: 49J15 49K15 49J45 PDF BibTeX XML Cite \textit{K. Wang} and \textit{Y. Li}, Discrete Contin. Dyn. Syst. 25, No. 2, 687--699 (2009; Zbl 1170.49004) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia Variational inequalities with applications. A study of antiplane frictional contact problems. (English) Zbl 1195.49002 Advances in Mechanics and Mathematics 18. New York, NY: Springer (ISBN 978-0-387-87459-3/hbk; 978-0-387-87460-9/ebook). xix, 230 p. (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 49-02 74-02 49J40 74M15 74M10 35J86 35J87 PDF BibTeX XML Cite \textit{M. Sofonea} and \textit{A. Matei}, Variational inequalities with applications. A study of antiplane frictional contact problems. New York, NY: Springer (2009; Zbl 1195.49002) Full Text: DOI
Waagan, Knut Convergence rate of monotone numerical schemes for Hamilton-Jacobi equations with weak boundary conditions. (English) Zbl 1183.35081 SIAM J. Numer. Anal. 46, No. 5, 2371-2392 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35F21 35L60 65M12 49L25 35D40 35A35 PDF BibTeX XML Cite \textit{K. Waagan}, SIAM J. Numer. Anal. 46, No. 5, 2371--2392 (2008; Zbl 1183.35081) Full Text: DOI
Schmidt, Thomas Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth. (English) Zbl 1138.49034 Calc. Var. Partial Differ. Equ. 32, No. 1, 1-24 (2008). MSC: 49N60 49J45 35J50 PDF BibTeX XML Cite \textit{T. Schmidt}, Calc. Var. Partial Differ. Equ. 32, No. 1, 1--24 (2008; Zbl 1138.49034) Full Text: DOI
Zaslavski, Alexander J. Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions. (English) Zbl 1136.49004 J. Math. Anal. Appl. 335, No. 2, 962-973 (2007). MSC: 49J27 49J45 PDF BibTeX XML Cite \textit{A. J. Zaslavski}, J. Math. Anal. Appl. 335, No. 2, 962--973 (2007; Zbl 1136.49004) Full Text: DOI
Shi, Dongyang; Mao, Shipeng; Liang, Hui Anisotropic biquadratic element with superclose result. (English) Zbl 1128.65099 J. Syst. Sci. Complex. 19, No. 4, 566-576 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N50 35J05 65N12 65N15 PDF BibTeX XML Cite \textit{D. Shi} et al., J. Syst. Sci. Complex. 19, No. 4, 566--576 (2006; Zbl 1128.65099) Full Text: DOI
Herrmann, Samuel; Scheutzow, Michael Rate of convergence of some self-attracting diffusions. (English) Zbl 1075.60101 Stochastic Processes Appl. 111, No. 1, 41-55 (2004). Reviewer: René L. Schilling (Marburg) MSC: 60J60 60G40 60H20 60F15 PDF BibTeX XML Cite \textit{S. Herrmann} and \textit{M. Scheutzow}, Stochastic Processes Appl. 111, No. 1, 41--55 (2004; Zbl 1075.60101) Full Text: DOI
Zhan, Mei-Qin Finite element analysis and approximations of phase-lock equations of superconductivity. (English) Zbl 1005.35008 Discrete Contin. Dyn. Syst., Ser. B 2, No. 1, 95-108 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35A35 65M60 PDF BibTeX XML Cite \textit{M.-Q. Zhan}, Discrete Contin. Dyn. Syst., Ser. B 2, No. 1, 95--108 (2002; Zbl 1005.35008) Full Text: DOI
Gobbino, Massimo; Mora, Maria Giovanna Finite-difference approximation of free-discontinuity problems. (English) Zbl 1001.49019 Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 3, 567-595 (2001). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 49Q20 49J10 49M25 PDF BibTeX XML Cite \textit{M. Gobbino} and \textit{M. G. Mora}, Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 3, 567--595 (2001; Zbl 1001.49019) Full Text: DOI arXiv
Hu, Shouchuan; Papageorgiou, Nikolas S. Handbook of multivalued analysis. Volume II: Applications. (English) Zbl 0943.47037 Mathematics and its Applications (Dordrecht). 500. Dordrecht: Kluwer Academic Publishers. xi, 926 p. (2000). Reviewer: P.Zabreiko (Minsk) MSC: 47H04 47-02 00A20 47-00 60G46 47H06 47H11 47H40 47H05 47H10 47J30 47J20 91A15 91B62 PDF BibTeX XML Cite \textit{S. Hu} and \textit{N. S. Papageorgiou}, Handbook of multivalued analysis. Volume II: Applications. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0943.47037)
Sychev, M. A.; Mizel, V. J. A condition on the value function both necessary and sufficient for full regularity of minimizers of one-dimensional variational problems. (English) Zbl 0888.49028 Trans. Am. Math. Soc. 350, No. 1, 119-133 (1998). MSC: 49N60 49J45 49L99 PDF BibTeX XML Cite \textit{M. A. Sychev} and \textit{V. J. Mizel}, Trans. Am. Math. Soc. 350, No. 1, 119--133 (1998; Zbl 0888.49028) Full Text: DOI
Ivanov, G. E.; Polovinkin, E. S. Second-order convergence of an algorithm calculating the value of linear differential games. (English. Russian original) Zbl 0876.90110 Dokl. Math. 51, No. 1, 29-32 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 2, 151-154 (1995). MSC: 91A23 PDF BibTeX XML Cite \textit{G. E. Ivanov} and \textit{E. S. Polovinkin}, Dokl. Math. 51, No. 1, 29--32 (1995; Zbl 0876.90110); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 2, 151--154 (1995)
de Figueiredo, Djairo G. Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics. (English) Zbl 0688.49011 Tata Institute of Fundamental Research, Bombay (India). Berlin etc.: Springer-Verlag. vi, 96 p. DM 20.00 (1989). Reviewer: J.Sprekels MSC: 49J45 35J60 49-02 47Hxx PDF BibTeX XML Cite \textit{D. G. de Figueiredo}, Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T. I.F. R.-I. I.Sc. programme in applications of mathematics. Berlin etc.: Springer-Verlag (1989; Zbl 0688.49011)
Bensoussan, A.; Blankenship, G. Controlled diffusions in a random medium. (English) Zbl 0666.93131 Stochastics 24, No. 2, 87-120 (1988). Reviewer: M.Kohlmann MSC: 93E20 60J60 PDF BibTeX XML Cite \textit{A. Bensoussan} and \textit{G. Blankenship}, Stochastics 24, No. 2, 87--120 (1988; Zbl 0666.93131) Full Text: DOI
Balder, Erik J. On infinite-horizon lower closure results for optimal control. (English) Zbl 0664.49005 Ann. Mat. Pura Appl., IV. Ser. 151, 239-246 (1988). Reviewer: G.Bottaro MSC: 49J45 49J27 54C08 PDF BibTeX XML Cite \textit{E. J. Balder}, Ann. Mat. Pura Appl. (4) 151, 239--246 (1988; Zbl 0664.49005) Full Text: DOI
Mascolo, Elvira Existence results for non convex problems of the calculus of variations. (English) Zbl 0655.49007 Calculus of variations and partial differential equations, Proc. Conf., Trento/Italy 1986, Lect. Notes Math. 1340, 201-207 (1988). Reviewer: W.Velte MSC: 49J45 54C08 49J20 PDF BibTeX XML
Kushner, Harold J.; Huang, Hai Limits for parabolic partial differential equations with wide band stochastic coefficients and an application to filtering theory. (English) Zbl 0566.60061 Stochastics 14, 115-148 (1985). Reviewer: J.Picard MSC: 60H15 35R60 60G35 60F05 PDF BibTeX XML Cite \textit{H. J. Kushner} and \textit{H. Huang}, Stochastics 14, 115--148 (1985; Zbl 0566.60061) Full Text: DOI
Lai, Tze Leung Sequential tests for hypergeometric distributions and finite populations. (English) Zbl 0399.62085 Ann. Stat. 7, 46-59 (1979). MSC: 62L10 62L15 60F05 60F10 PDF BibTeX XML Cite \textit{T. L. Lai}, Ann. Stat. 7, 46--59 (1979; Zbl 0399.62085) Full Text: DOI