Numerische Mathematik Short Title: Numer. Math. Publisher: Springer, Berlin/Heidelberg ISSN: 0029-599X; 0945-3245/e Online: https://link.springer.com/journal/211/volumes-and-issueshttp://link.springer.com/journal/volumesAndIssues/211 Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,889 Publications (since 1959) References Indexed: 3,982 Publications with 81,687 References. all top 5 Latest Issues 156, No. 4 (2024) 156, No. 3 (2024) 156, No. 2 (2024) 156, No. 1 (2024) 155, No. 3-4 (2023) 155, No. 1-2 (2023) 154, No. 3-4 (2023) 154, No. 1-2 (2023) 153, No. 4 (2023) 153, No. 2-3 (2023) 153, No. 1 (2023) 152, No. 4 (2022) 152, No. 3 (2022) 152, No. 2 (2022) 152, No. 1 (2022) 151, No. 4 (2022) 151, No. 3 (2022) 151, No. 2 (2022) 151, No. 1 (2022) 150, No. 4 (2022) 150, No. 3 (2022) 150, No. 2 (2022) 150, No. 1 (2022) 149, No. 4 (2021) 149, No. 3 (2021) 149, No. 2 (2021) 149, No. 1 (2021) 148, No. 4 (2021) 148, No. 3 (2021) 148, No. 2 (2021) 148, No. 1 (2021) 147, No. 4 (2021) 147, No. 3 (2021) 147, No. 2 (2021) 147, No. 1 (2021) 146, No. 4 (2020) 146, No. 3 (2020) 146, No. 2 (2020) 146, No. 1 (2020) 145, No. 4 (2020) 145, No. 3 (2020) 145, No. 2 (2020) 145, No. 1 (2020) 144, No. 4 (2020) 144, No. 3 (2020) 144, No. 2 (2020) 144, No. 1 (2020) 143, No. 4 (2019) 143, No. 3 (2019) 143, No. 2 (2019) 143, No. 1 (2019) 142, No. 4 (2019) 142, No. 3 (2019) 142, No. 2 (2019) 142, No. 1 (2019) 141, No. 4 (2019) 141, No. 3 (2019) 141, No. 2 (2019) 141, No. 1 (2019) 140, No. 4 (2018) 140, No. 3 (2018) 140, No. 2 (2018) 140, No. 1 (2018) 139, No. 4 (2018) 139, No. 3 (2018) 139, No. 2 (2018) 139, No. 1 (2018) 138, No. 4 (2018) 138, No. 3 (2018) 138, No. 2 (2018) 138, No. 1 (2018) 137, No. 4 (2017) 137, No. 3 (2017) 137, No. 2 (2017) 137, No. 1 (2017) 136, No. 4 (2017) 136, No. 3 (2017) 136, No. 2 (2017) 136, No. 1 (2017) 135, No. 4 (2017) 135, No. 3 (2017) 135, No. 2 (2017) 135, No. 1 (2017) 134, No. 4 (2016) 134, No. 3 (2016) 134, No. 2 (2016) 134, No. 1 (2016) 133, No. 4 (2016) 133, No. 3 (2016) 133, No. 2 (2016) 133, No. 1 (2016) 132, No. 4 (2016) 132, No. 3 (2016) 132, No. 2 (2016) 132, No. 1 (2016) 131, No. 4 (2015) 131, No. 3 (2015) 131, No. 2 (2015) 131, No. 1 (2015) 130, No. 4 (2015) ...and 401 more Volumes all top 5 Authors 55 Carstensen, Carsten 42 Varga, Richard Steven 35 Lubich, Christian 30 Sloan, Ian Hugh 26 Babuška, Ivo 26 Wilkinson, James Hardy 25 Hackbusch, Wolfgang 25 Schwab, Christoph 24 Hairer, Ernst 24 Yserentant, Harry 22 Nochetto, Ricardo Horacio 21 Bauer, Friedrich Ludwig 20 Gautschi, Walter 20 Stephan, Ernst Peter 20 Stewart, Gilbert Wright 20 Stoer, Josef 19 Barrett, John William 19 Douglas, Jim jun. 17 Schneider, Reinhold 17 Szyld, Daniel B. 17 Xu, Jinchao 15 Braess, Dietrich 15 Golub, Gene Howard 15 Larson, Mats G. 14 Brezzi, Franco 14 Martin, Robert Samuel 14 Natterer, Frank 14 Prohl, Andreas 14 Schöberl, Joachim 14 Stevenson, Rob P. 13 Alefeld, Götz E. 13 Bartels, Sören 13 Brenner, Susanne Cecelia 13 Brezinski, Claude 13 Burman, Erik 13 Graham, Ivan G. 13 Parlett, Beresford Neill 13 Reichel, Lothar 13 Sauter, Stefan 13 Schmidt, Jochen Wilhelm 12 Bank, Randolph E. 12 Dahmen, Wolfgang A. 12 Heuer, Norbert 12 Householder, Alston Scott 12 Li, Buyang 12 Lyness, James N. 12 Maday, Yvon 12 Mehrmann, Volker 12 Quarteroni, Alfio M. 12 Saff, Edward Barry 12 Sayas, Francisco-Javier 12 Sun, Weiwei 12 Verfürth, Rüdiger 11 Axelsson, Axel Owe Holger 11 Beirão da Veiga, Lourenço 11 Bernardi, Christine 11 Frommer, Andreas 11 Girault, Vivette 11 Harbrecht, Helmut 11 Jin, Qinian 11 Makridakis, Charalambos G. 11 Praetorius, Dirk 11 Raviart, Pierre-Arnaud 11 Reusken, Arnold 11 Rodríguez, Rodolfo 11 Schumaker, Larry L. 11 Stenberg, Rolf 10 Ainsworth, Mark 10 Akrivis, Georgios D. 10 Grigorieff, Rolf Dieter 10 Hochbruck, Marlis 10 Jeltsch, Rolf 10 Kovacs, Balazs A. 10 Melenk, Jens Markus 10 Nevanlinna, Olavi 10 Parter, Seymour V. 10 Rappaz, Jacques 10 Rutishauser, Heinz 10 Sanz-Serna, Jesús María 10 Serra-Capizzano, Stefano 10 Steinbach, Olaf 10 Stynes, Martin Joseph 10 Süli, Endre E. 10 Sun, Jiguang 9 Banerjee, Uday 9 Buffa, Annalisa 9 Chandler-Wilde, Simon N. 9 Ciarlet, Philippe Gaston 9 Deuflhard, Peter 9 Dryja, Maksymilian 9 Elsner, Ludwig F. 9 Garcke, Harald 9 Gatica, Gabriel N. 9 Gunzburger, Max D. 9 Hu, Jun 9 Kress, Rainer 9 Niethammer, Wilhelm 9 Osborne, Michael Robert 9 Reinsch, Christian H. 9 Rentrop, Peter ...and 4,277 more Authors all top 5 Fields 4,036 Numerical analysis (65-XX) 1,437 Partial differential equations (35-XX) 492 Approximations and expansions (41-XX) 404 Fluid mechanics (76-XX) 313 Ordinary differential equations (34-XX) 257 Mechanics of deformable solids (74-XX) 229 Linear and multilinear algebra; 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Zbl 0944.65114 Ben Belgacem, Faker 212 1999 On the fast matrix multiplication in the boundary element method by panel clustering. Zbl 0641.65038 Hackbusch, W.; Nowak, Z. P. 201 1989 On the multi-level splitting of finite element spaces. Zbl 0608.65065 Yserentant, Harry 201 1986 Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094 Lubich, C. 200 1988 Smoothing by spline functions. Zbl 0161.36203 Reinsch, Christian H. 195 1967 Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123 Lyche, Tom 189 1972 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021 Brezzi, F.; Rappaz, J.; Raviart, P. A. 186 1980 A posteriori error estimators for the Stokes equations. Zbl 0674.65092 Verfürth, R. 186 1989 A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080 Ainsworth, Mark; Oden, J. Tinsley 183 1993 On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation. Zbl 0739.65096 Akrivis, Georgios D.; Dougalis, Vassilios A.; Karakashian, Ohannes A. 182 1991 Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093 Feng, Xiaobing; Prohl, Andreas 181 2003 Singular value decomposition and least squares solutions. Zbl 0181.17602 Golub, G. H.; Reinsch, C. 180 1970 A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086 Furihata, Daisuke 177 2001 Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072 Gordon, William J.; Hall, Charles A. 173 1973 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107 Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 170 1987 A family of mixed finite elements for the elasticity problem. Zbl 0632.73063 Stenberg, Rolf 169 1988 Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006 Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel 162 2011 Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903 Golub, Gene H.; Varga, Richard S. 161 1961 Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043 Schötzau, Dominik 159 2004 A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103 Douglas, Jim jun.; Gunn, J. E. 159 1964 Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058 Bercovier, M.; Pironneau, O. 150 1979 Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073 Dai, Yu-Hong; Fletcher, Roger 148 2005 Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002 Floater, Michael S.; Hormann, Kai 147 2007 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052 Brezzi, Franco; Douglas, Jim jun. 147 1988 A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066 Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P. 146 1984 Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Zbl 0133.08603 Oettli, W.; Prager, W. 146 1964 Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020 Hager, William W. 145 2000 A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097 Elliott, C. M.; French, D. A.; Milner, F. A. 145 1989 Numerical methods for solving linear least squares problems. Zbl 0142.11502 Golub, G. 145 1965 A posteriori error estimates for the virtual element method. Zbl 1384.65079 Cangiani, Andrea; Georgoulis, Emmanuil H.; Pryer, Tristan; Sutton, Oliver J. 144 2017 Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057 Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J. 142 1979 Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901 Bulirsch, R.; Stoer, J. 140 1966 A geometric model for active contours in image processing. Zbl 0804.68159 Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise 139 1993 Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Zbl 1103.65074 Zhang, Li; Zhou, Weijun; Li, Donghui 137 2006 Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Zbl 0762.65074 Copetti, M. I. M.; Elliott, C. M. 135 1992 A family of root finding methods. Zbl 0361.65041 Hansen, Eldon; Patrick, Merrell 133 1977 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030 Brezzi, Franco; Hager, William W.; Raviart, P. A. 133 1977 An algorithm for evolutionary surfaces. Zbl 0714.65092 Dziuk, G. 133 1991 Multigrid in H(div) and H(curl). Zbl 0974.65113 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 132 2000 Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010 Higham, Desmond J.; Kloeden, Peter. E. 132 2005 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 132 2016 \(H\)-splittings and two-stage iterative methods. Zbl 0764.65018 Frommer, Andreas; Szyld, Daniel B. 132 1992 A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077 Hochbruck, Marlis; Lubich, Christian 131 1999 Alternating direction methods for three space variables. Zbl 0104.35001 Douglas, Jim jun. 131 1962 A second-order accurate numerical method for a fractional wave equation. Zbl 1111.65113 McLean, William; Mustapha, Kassem 130 2007 Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Zbl 1523.65081 Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. 129 2017 The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024 Manteuffel, Thomas A. 127 1977 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067 Brezzi, F.; Fortin, M. 124 2001 Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009 Costabel, Martin; Dauge, Monique 124 2002 Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703 Cheney, E. W.; Goldstein, A. A. 123 1959 The defect correction principle and discretization methods. Zbl 0362.65052 Stetter, Hans J. 122 1978 Norms and exclusion theorems. Zbl 0101.25503 Bauer, F. L.; Fike, C. T. 122 1960 Pricing early-exercise and discrete barrier options by Fourier-cosine series expansions. Zbl 1185.91176 Fang, F.; Oosterlee, C. W. 122 2009 Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010 Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G. 121 2011 A general extrapolation algorithm. Zbl 0444.65001 Brezinski, C. 118 1980 Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403 Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 118 1967 Locking effects in the finite element approximation of elasticity problems. Zbl 0762.65057 Babuška, Ivo; Suri, Manil 118 1992 Condition numbers and equilibration of matrices. Zbl 0182.48906 van der Sluis, A. 118 1969 Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110 Xu, Jinchao; Zou, Qingsong 116 2009 On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Zbl 0795.65063 Lubich, Ch. 116 1994 Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Zbl 0159.20904 Birkhoff, G.; Schultz, M. H.; Varga, R. S. 116 1968 A posteriori error estimators for convection-diffusion equations. Zbl 0913.65095 Verfürth, R. 115 1998 Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204 Strang, G. 114 1964 Positive operators and an inertia theorem. Zbl 0158.28003 Schneider, H. 114 1965 On the finite element method. Zbl 0176.16001 Zlámal, Miloš 114 1968 The rate of convergence of conjugate gradients. Zbl 0596.65015 van der Sluis, A.; van der Vorst, Henk A. 112 1986 Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703 Lynch, Robert E.; Rice, John R.; Thomas, Donald H. 112 1964 Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503 Businger, P.; Golub, G. H. 112 1965 Some observations on Babuška and Brezzi theories. Zbl 1028.65115 Xu, Jinchao; Zikatanov, Ludmil 110 2003 A super-localized generalized finite element method. Zbl 1532.65111 Freese, Philip; Hauck, Moritz; Keil, Tim; Peterseim, Daniel 3 2024 A discrete elasticity complex on three-dimensional Alfeld splits. Zbl 1532.65106 Christiansen, Snorre H.; Gopalakrishnan, Jay; Guzmán, Johnny; Hu, Kaibo 2 2024 Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. 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Zbl 1491.65119 Li, Peijun; Yuan, Xiaokai 5 2022 A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Zbl 1496.65209 Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. 5 2022 Rigorous numerics for nonlinear heat equations in the complex plane of time. Zbl 07549404 Takayasu, Akitoshi; Lessard, Jean-Philippe; Jaquette, Jonathan; Okamoto, Hisashi 5 2022 Error estimates for deep learning methods in fluid dynamics. Zbl 1492.35216 Biswas, A.; Tian, J.; Ulusoy, S. 5 2022 Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. Zbl 1487.49007 Peralta, Gilbert; Kunisch, Karl 5 2022 Continuous data assimilation for displacement in a porous medium. Zbl 1503.65220 Bessaih, H.; Ginting, V.; McCaskill, B. 5 2022 Finite difference formulation of any lattice Boltzmann scheme. Zbl 1504.76056 Bellotti, Thomas; Graille, Benjamin; Massot, Marc 5 2022 Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model. Zbl 1502.65101 Huynh, Ngoc Mai Monica 4 2022 Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Zbl 1497.65252 Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A. 4 2022 Projection in negative norms and the regularization of rough linear functionals. Zbl 1491.65149 Millar, F.; Muga, I.; Rojas, S.; van der Zee, K. G. 4 2022 Kernel-independent adaptive construction of \(\mathcal{H}^2\)-matrix approximations. Zbl 1527.65025 Bauer, M.; Bebendorf, M.; Feist, B. 4 2022 Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Zbl 1495.41003 Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H. 4 2022 A reduced basis method for fractional diffusion operators. I. Zbl 1496.65216 Danczul, Tobias; Schöberl, Joachim 4 2022 A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux. Zbl 07549401 Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh 4 2022 A convergence framework for optimal transport on the sphere. Zbl 07549402 Froese Hamfeldt, Brittany; Turnquist, Axel G. R. 4 2022 Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Zbl 1486.31004 Chandler-Wilde, S. N.; Spence, E. A. 4 2022 The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367 Jin, Shi; Zhu, Yuhua; Zuazua, Enrique 4 2022 Fortin operator for the Taylor-Hood element. 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Zbl 1509.65114 Gustafsson, Tom; Lederer, Philip L. 1 2022 Error estimates for total-variation regularized minimization problems with singular dual solutions. Zbl 07621779 Bartels, Sören; Kaltenbach, Alex 1 2022 A projection method for Navier-Stokes equations with a boundary condition including the total pressure. Zbl 1530.65123 Matsui, Kazunori 1 2022 On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient. Zbl 1502.65193 Ciarlet, Patrick jun. 1 2022 ...and 1769 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 46,320 Authors 170 Simos, Theodore E. 157 Argyros, Ioannis Konstantinos 152 He, Yinnian 144 Carstensen, Carsten 138 Reichel, Lothar 128 Huang, Yunqing 127 Schwab, Christoph 125 Shi, Dongyang 121 Gatica, Gabriel N. 119 Zhang, Zhimin 113 Wei, Yimin 108 Chen, Yanping 103 Rui, Hongxing 99 Burman, Erik 98 Serra-Capizzano, Stefano 97 Stephan, Ernst Peter 95 Dehghan Takht Fooladi, Mehdi 90 Petković, Miodrag S. 88 Harbrecht, Helmut 87 Nochetto, Ricardo Horacio 86 Bai, Zhongzhi 85 Babuška, Ivo 84 Praetorius, Dirk 84 Wu, Xinyuan 82 Feng, Xinlong 80 Brenner, Susanne Cecelia 79 Li, Jichun 79 Peña, Juan Manuel 79 Quarteroni, Alfio M. 78 Evans, David John 77 Beirão da Veiga, Lourenço 77 Chen, Zhangxin 77 Xu, Jinchao 76 Ma, Changfeng 75 Demkowicz, Leszek 75 Lubich, Christian 74 Axelsson, Axel Owe Holger 74 Wohlmuth, Barbara I. 73 Shen, Jie 72 Larson, Mats G. 71 Hackbusch, Wolfgang 71 Huang, Ting-Zhu 71 Li, Jian 71 Nicaise, Serge 71 Shu, Chi-Wang 70 Cockburn, Bernardo 70 Ruiz-Baier, Ricardo 68 Gunzburger, Max D. 68 Guo, Ben-Yu 68 Sloan, Ian Hugh 68 Wang, Cheng 67 Hansbo, Peter 67 Hughes, Thomas J. 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