Marburg, Steffen; Schneider, Stefan Influence of element types on numeric error for acoustic boundary elements. (English) Zbl 1360.74147 J. Comput. Acoust. 11, No. 3, 363-386 (2003). MSC: 74S15 74J99 PDFBibTeX XMLCite \textit{S. Marburg} and \textit{S. Schneider}, J. Comput. Acoust. 11, No. 3, 363--386 (2003; Zbl 1360.74147) Full Text: DOI
Chen, Chuanmiao Superconvergence for rectangular serendipity finite elements. (English) Zbl 1217.65202 Sci. China, Ser. A 46, No. 1, 1-10 (2003). MSC: 65N12 65N30 PDFBibTeX XMLCite \textit{C. Chen}, Sci. China, Ser. A 46, No. 1, 1--10 (2003; Zbl 1217.65202)
Griewank, Andreas; Faure, Christèle Piggyback differentiation and optimization. (English) Zbl 1062.65054 Biegler, Lorenz T. (ed.) et al., Large-scale PDE-constrained optimization. Berlin: Springer (ISBN 3-540-05045-0/pbk). Lect. Notes Comput. Sci. Eng. 30, 148-164 (2003). MSC: 65H10 65D25 68W30 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{C. Faure}, Lect. Notes Comput. Sci. Eng. 30, 148--164 (2003; Zbl 1062.65054)
Chen, Yanping; Yang, Ju’e Superconvergence of least-squares mixed finite elements for elliptic problems on triangulation. (English) Zbl 1064.65127 Numer. Math., J. Chin. Univ. 12, No. 2, 214-225 (2003). MSC: 65N12 65N30 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Yang}, Numer. Math., J. Chin. Univ. 12, No. 2, 214--225 (2003; Zbl 1064.65127)
Kangro, Raul; Parts, Inga Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations. (English) Zbl 1065.65148 J. Integral Equations Appl. 15, No. 4, 403-427 (2003). Reviewer: Lechoslaw Hącia (Poznań) MSC: 65R20 45J05 45E10 PDFBibTeX XMLCite \textit{R. Kangro} and \textit{I. Parts}, J. Integral Equations Appl. 15, No. 4, 403--427 (2003; Zbl 1065.65148) Full Text: DOI
Brunner, Hermann; Messina, Eleonora Time-stepping methods for Volterra-Fredholm integral equations. (English) Zbl 1095.65117 Rend. Mat. Appl., VII. Ser. 23, No. 2, 329-342 (2003). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{E. Messina}, Rend. Mat. Appl., VII. Ser. 23, No. 2, 329--342 (2003; Zbl 1095.65117)
Zhu, Qiding; Zhao, Qinghua SPR technique and finite element correction. (English) Zbl 1053.65060 Numer. Math. 96, No. 1, 185-196 (2003). Reviewer: J. D. P. Donnelly (Oxford) MSC: 65L60 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{Q. Zhu} and \textit{Q. Zhao}, Numer. Math. 96, No. 1, 185--196 (2003; Zbl 1053.65060) Full Text: DOI
Babuška, Ivo; Banerjee, Uday; Osborn, John E. Survey of meshless and generalized finite element methods: A unified approach. (English) Zbl 1048.65105 Acta Numerica 12, 1-125 (2003). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 35J25 65N12 65-02 PDFBibTeX XMLCite \textit{I. Babuška} et al., Acta Numerica 12, 1--125 (2003; Zbl 1048.65105) Full Text: DOI
Kulkarni, Rekha P. A superconvergence result for solutions of compact operator equations. (English) Zbl 1055.65148 Bull. Aust. Math. Soc. 68, No. 3, 517-528 (2003). Reviewer: Hermann Brunner (St. John’s) MSC: 65R20 45B05 47G10 45P05 PDFBibTeX XMLCite \textit{R. P. Kulkarni}, Bull. Aust. Math. Soc. 68, No. 3, 517--528 (2003; Zbl 1055.65148) Full Text: DOI
Lin, Qun; Lin, Jiafu High accuracy approximation of mixed finite element for 2-D Maxwell equations. (Chinese. English summary) Zbl 1051.65108 Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 4, 499-503 (2003). Reviewer: Song Jiang (Beijing) MSC: 65N30 35Q60 65N12 65N15 78A25 78M10 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{J. Lin}, Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 4, 499--503 (2003; Zbl 1051.65108)
Brandts, Jan; Křížek, Michal Gradient superconvergence on uniform simplicial partitions of polytopes. (English) Zbl 1042.65081 IMA J. Numer. Anal. 23, No. 3, 489-505 (2003). Reviewer: Iulian Coroian (Baia Mare) MSC: 65N12 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{J. Brandts} and \textit{M. Křížek}, IMA J. Numer. Anal. 23, No. 3, 489--505 (2003; Zbl 1042.65081) Full Text: DOI
Chen, Yanping; Yu, Dehao Superconvergence of least-squares mixed finite element for second-order elliptic problems. (English) Zbl 1047.65094 J. Comput. Math. 21, No. 6, 825-832 (2003). Reviewer: Myron Sussman (Bethel Park) MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. Yu}, J. Comput. Math. 21, No. 6, 825--832 (2003; Zbl 1047.65094)
Chen, Chuanmiao Symmetric point structure of superconvergence for cubic triangular elements – a consultation with Zhu. (English) Zbl 1045.65093 J. Comput. Math. 21, No. 6, 727-732 (2003). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{C. Chen}, J. Comput. Math. 21, No. 6, 727--732 (2003; Zbl 1045.65093)
Rui, Hongxing Superconvergence of a mixed covolume method for elliptic problems. (English) Zbl 1037.65108 Computing 71, No. 3, 247-263 (2003). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{H. Rui}, Computing 71, No. 3, 247--263 (2003; Zbl 1037.65108) Full Text: DOI
Bastian, Peter; Rivière, Béatrice Superconvergence and \(H(div)\) projection for discontinuous Galerkin methods. (English) Zbl 1030.76026 Int. J. Numer. Methods Fluids 42, No. 10, 1043-1057 (2003). MSC: 76M10 76S05 65N12 PDFBibTeX XMLCite \textit{P. Bastian} and \textit{B. Rivière}, Int. J. Numer. Methods Fluids 42, No. 10, 1043--1057 (2003; Zbl 1030.76026) Full Text: DOI
Castillo, Paul A superconvergence result for discontinuous Galerkin methods applied to elliptic problems. (English) Zbl 1040.65072 Comput. Methods Appl. Mech. Eng. 192, No. 41-42, 4675-4685 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65L20 65L60 65L10 34B05 PDFBibTeX XMLCite \textit{P. Castillo}, Comput. Methods Appl. Mech. Eng. 192, No. 41--42, 4675--4685 (2003; Zbl 1040.65072) Full Text: DOI
Ma, Xiuling; Mao, Dong; Zhou, Aihui Extrapolation for finite volume approximations. (English) Zbl 1036.65091 SIAM J. Sci. Comput. 24, No. 6, 1974-1993 (2003). Reviewer: Michael Jung (Dresden) MSC: 65N30 35A35 35J25 35C20 65B05 65N15 PDFBibTeX XMLCite \textit{X. Ma} et al., SIAM J. Sci. Comput. 24, No. 6, 1974--1993 (2003; Zbl 1036.65091) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. (English) Zbl 1035.65135 SIAM J. Sci. Comput. 24, No. 5, 1733-1753 (2003). MSC: 65N35 65N12 35J05 PDFBibTeX XMLCite \textit{B. Bialecki} et al., SIAM J. Sci. Comput. 24, No. 5, 1733--1753 (2003; Zbl 1035.65135) Full Text: DOI
Lu, James; Darmofal, David L. A quasi-minimal residual method for simultaneous primal-dual solutions and superconvergent functional estimates. (English) Zbl 1034.65019 SIAM J. Sci. Comput. 24, No. 5, 1693-1709 (2003). MSC: 65F10 15-04 PDFBibTeX XMLCite \textit{J. Lu} and \textit{D. L. Darmofal}, SIAM J. Sci. Comput. 24, No. 5, 1693--1709 (2003; Zbl 1034.65019) Full Text: DOI
Bank, Randolph E.; Xu, Jinchao Asymptotically exact a posteriori error estimators. II: General unstructured grids. (English) Zbl 1058.65117 SIAM J. Numer. Anal. 41, No. 6, 2313-2332 (2003). MSC: 65N15 65N50 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{J. Xu}, SIAM J. Numer. Anal. 41, No. 6, 2313--2332 (2003; Zbl 1058.65117) Full Text: DOI
Bank, Randolph E.; Xu, Jinchao Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. (English) Zbl 1058.65116 SIAM J. Numer. Anal. 41, No. 6, 2294-2312 (2003). MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{J. Xu}, SIAM J. Numer. Anal. 41, No. 6, 2294--2312 (2003; Zbl 1058.65116) Full Text: DOI
Chen, Hongsen; Wang, Junping An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. (English) Zbl 1058.65118 SIAM J. Numer. Anal. 41, No. 4, 1318-1338 (2003). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N15 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J. Wang}, SIAM J. Numer. Anal. 41, No. 4, 1318--1338 (2003; Zbl 1058.65118) Full Text: DOI
Yao, Changhui; Shi, Dongyang High accuracy analysis of five parameters rectangular nonconforming element. (Chinese. English summary) Zbl 1039.65082 J. Zhengzhou Univ., Nat. Sci. Ed. 35, No. 2, 13-15, 22 (2003). MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{C. Yao} and \textit{D. Shi}, J. Zhengzhou Univ., Nat. Sci. Ed. 35, No. 2, 13--15, 22 (2003; Zbl 1039.65082)
Domínguez, Víctor High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs. (English) Zbl 1044.65087 J. Comput. Appl. Math. 161, No. 1, 145-159 (2003). Reviewer: I. V. Boikov (Penza) MSC: 65N38 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{V. Domínguez}, J. Comput. Appl. Math. 161, No. 1, 145--159 (2003; Zbl 1044.65087) Full Text: DOI
Huang, Hung-Tsai; Li, Zi-Cai Global superconvergence of Adini’s elements coupled with the Trefftz method for singular problems. (English) Zbl 1033.65094 Eng. Anal. Bound. Elem. 27, No. 3, 227-240 (2003). MSC: 65N12 35J05 65N30 PDFBibTeX XMLCite \textit{H.-T. Huang} and \textit{Z.-C. Li}, Eng. Anal. Bound. Elem. 27, No. 3, 227--240 (2003; Zbl 1033.65094) Full Text: DOI
Lin, Jiafu; Lin, Qun Global superconvergence of the mixed finite element methods for 2-D Maxwell equations. (English) Zbl 1032.65101 J. Comput. Math. 21, No. 5, 637-646 (2003). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65M12 65M60 35Q60 78A25 78M10 PDFBibTeX XMLCite \textit{J. Lin} and \textit{Q. Lin}, J. Comput. Math. 21, No. 5, 637--646 (2003; Zbl 1032.65101)
Andreev, Andrey B.; Racheva, Milena R. On the postprocessing technique for eigenvalue problems. (English) Zbl 1032.65122 Dimov, Ivan (ed.) et al., Numerical methods and applications. 5th international conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 2542, 363-371 (2003). MSC: 65N25 65N12 35P15 65N30 PDFBibTeX XMLCite \textit{A. B. Andreev} and \textit{M. R. Racheva}, Lect. Notes Comput. Sci. 2542, 363--371 (2003; Zbl 1032.65122) Full Text: Link
Jay, L. O. Solution of index 2 implicit differential-algebraic equations by Lobatto Runge-Kutta methods. (English) Zbl 1023.65085 BIT 43, No. 1, 93-106 (2003). Reviewer: Emil Minchev (Chiba) MSC: 65L80 65L05 34A09 65L06 65L20 PDFBibTeX XMLCite \textit{L. O. Jay}, BIT 43, No. 1, 93--106 (2003; Zbl 1023.65085) Full Text: DOI
Chou, So-Hsiang; Kwak, Do Y.; Li, Qian \(L^p\) error estimates and superconvergence for covolume or finite volume element methods. (English) Zbl 1029.65123 Numer. Methods Partial Differ. Equations 19, No. 4, 463-486 (2003). Reviewer: Dinh Nho Hao (Brussel) MSC: 65N15 65N30 65M15 65M60 65N12 65M12 35J25 35K15 PDFBibTeX XMLCite \textit{S.-H. Chou} et al., Numer. Methods Partial Differ. Equations 19, No. 4, 463--486 (2003; Zbl 1029.65123) Full Text: DOI
Li, Zi-Cai; Hu, Hsin-Yun; Fang, Qing; Yamamoto, Tetsuro Superconvergence of solution derivatives for the Shortley-Weller difference approximation of Poisson’s equation. II: Sigularity problems. (English) Zbl 1031.65118 Numer. Funct. Anal. Optimization 24, No. 3-4, 195-221 (2003). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65N12 65N06 65N30 35J05 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Numer. Funct. Anal. Optim. 24, No. 3--4, 195--221 (2003; Zbl 1031.65118) Full Text: DOI
Korotov, S.; Neittaanmäki, P.; Repin, S. A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. (English) Zbl 1039.65075 J. Numer. Math. 11, No. 1, 33-59 (2003). Reviewer: J. C. Coyle (West Long Branch) MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{S. Korotov} et al., J. Numer. Math. 11, No. 1, 33--59 (2003; Zbl 1039.65075)
Cash, J. R.; Moore, D. R.; Sumarti, N.; Van Daele, M. A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems. (English) Zbl 1019.65052 J. Comput. Appl. Math. 155, No. 2, 339-358 (2003). MSC: 65L10 34B15 65L06 65L20 65L70 PDFBibTeX XMLCite \textit{J. R. Cash} et al., J. Comput. Appl. Math. 155, No. 2, 339--358 (2003; Zbl 1019.65052) Full Text: DOI
Li, Zi-Cai; Yamamoto, Tetsuro; Fang, Qing Superconvergence of solution derivatives for the Shortley–Weller difference approximation of Poisson’s equation. I: Smoothness problems. (English) Zbl 1030.65108 J. Comput. Appl. Math. 151, No. 2, 307-333 (2003). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65N12 65N06 65N30 35J05 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., J. Comput. Appl. Math. 151, No. 2, 307--333 (2003; Zbl 1030.65108) Full Text: DOI
Zhang, Zhimin Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. (English) Zbl 1019.65091 Math. Comput. 72, No. 243, 1147-1177 (2003). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35B25 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Comput. 72, No. 243, 1147--1177 (2003; Zbl 1019.65091) Full Text: DOI
Krivodonova, Lilia; Flaherty, Joseph E. Error estimation for discontinuous Galerkin solutions of two-dimensional hyperbolic problems. (English) Zbl 1020.65062 Adv. Comput. Math. 19, No. 1-3, 57-71 (2003). Reviewer: Christian Grossmann (Dresden) MSC: 65M15 35L65 PDFBibTeX XMLCite \textit{L. Krivodonova} and \textit{J. E. Flaherty}, Adv. Comput. Math. 19, No. 1--3, 57--71 (2003; Zbl 1020.65062) Full Text: DOI
Roos, Hans-Görg; Zarin, Helena The streamline-diffusion method for a convection–diffusion problem with a point source. (English) Zbl 1016.65054 J. Comput. Appl. Math. 150, No. 1, 109-128 (2003). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 65L10 65L20 65L70 65L60 34B15 34E15 PDFBibTeX XMLCite \textit{H.-G. Roos} and \textit{H. Zarin}, J. Comput. Appl. Math. 150, No. 1, 109--128 (2003; Zbl 1016.65054) Full Text: DOI
Beane, Silas R.; Savage, Martin J. A conjecture about hadrons. (English) Zbl 1010.81512 Phys. Lett., B 556, No. 3-4, 142-152 (2003). MSC: 81V05 PDFBibTeX XMLCite \textit{S. R. Beane} and \textit{M. J. Savage}, Phys. Lett., B 556, No. 3--4, 142--152 (2003; Zbl 1010.81512) Full Text: DOI arXiv