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Numerische Mathematik

Short Title: Numer. Math.
Publisher: Springer, Berlin/Heidelberg
ISSN: 0029-599X; 0945-3245/e
Online: http://link.springer.com/journal/volumesAndIssues/211
Comments: Indexed cover-to-cover
Documents Indexed: 4,688 Publications (since 1959)
References Indexed: 3,783 Publications with 73,391 References.
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...and 374 more Volumes
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Authors

46 Carstensen, Carsten
42 Varga, Richard Steven
32 Lubich, Christian
27 Sloan, Ian Hugh
26 Wilkinson, James Hardy
25 Babuška, Ivo
25 Hackbusch, Wolfgang
23 Hairer, Ernst
23 Schwab, Christoph
23 Yserentant, Harry
22 Nochetto, Ricardo Horacio
21 Bauer, Friedrich Ludwig
20 Gautschi, Walter
20 Stewart, Gilbert Wright
20 Stoer, Josef
19 Barrett, John W.
19 Douglas, Jim jun.
19 Stephan, Ernst Peter
17 Szyld, Daniel B.
16 Schneider, Reinhold
16 Xu, Jinchao
15 Braess, Dietrich
15 Golub, Gene Howard
14 Brezinski, Claude
14 Brezzi, Franco
14 Martin, Robert Scott
14 Natterer, Frank
13 Alefeld, Götz E.
13 Brenner, Susanne Cecelia
13 Sauter, Stefan A.
13 Schmidt, Jochen Wilhelm
13 Schöberl, Joachim
12 Bank, Randolph E.
12 Bartels, Sören
12 Dahmen, Wolfgang A.
12 Graham, Ivan G.
12 Householder, Alston Scott
12 Larson, Mats G.
12 Lyness, James N.
12 Mehrmann, Volker
12 Parlett, Beresford Neill
12 Prohl, Andreas
12 Quarteroni, Alfio M.
12 Reichel, Lothar
12 Saff, Edward Barry
12 Sayas, Francisco-Javier
12 Stevenson, Rob P.
12 Verfürth, Rüdiger
11 Axelsson, Axel Owe Holger
11 Beirão da Veiga, Lourenço
11 Bernardi, Christine
11 Frommer, Andreas
11 Girault, Vivette
11 Heuer, Norbert
11 Maday, Yvon
11 Raviart, Pierre-Arnaud
11 Reusken, Arnold
11 Rodríguez, Rodolfo
11 Schumaker, Larry L.
11 Stenberg, Rolf
11 Sun, Jiguang
10 Ainsworth, Mark
10 Grigorieff, Rolf Dieter
10 Jeltsch, Rolf
10 Jin, Qinian
10 Nevanlinna, Olavi
10 Parter, Seymour V.
10 Praetorius, Dirk
10 Rappaz, Jacques
10 Rutishauser, Heinz
10 Sanz-Serna, Jesús María
10 Steinbach, Olaf
10 Süli, Endre E.
9 Akrivis, Georgios D.
9 Buffa, Annalisa
9 Burman, Erik
9 Ciarlet, Philippe Gaston
9 Deuflhard, Peter
9 Dryja, Maksymilian
9 Elsner, Ludwig F.
9 Gatica, Gabriel N.
9 Gunzburger, Max D.
9 Hochbruck, Marlis
9 Kress, Rainer
9 Li, Buyang
9 Niethammer, Wilhelm
9 Osborne, Michael Robert
9 Reinsch, Christian H.
9 Rentrop, Peter
9 Schröder, Johann
9 Serra-Capizzano, Stefano
9 Shi, Zhongci
9 Simoncini, Valeria
9 Spijker, Marc N.
9 Stynes, Martin
9 van der Sluis, Abraham
9 Wendland, Wolfgang L.
9 Wittum, Gabriel
9 Yamamoto, Tetsuro
9 Zou, Jun
...and 4,009 more Authors
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Fields

3,835 Numerical analysis (65-XX)
1,335 Partial differential equations (35-XX)
473 Approximations and expansions (41-XX)
365 Fluid mechanics (76-XX)
308 Ordinary differential equations (34-XX)
244 Mechanics of deformable solids (74-XX)
218 Linear and multilinear algebra; matrix theory (15-XX)
185 Calculus of variations and optimal control; optimization (49-XX)
137 Integral equations (45-XX)
136 Operations research, mathematical programming (90-XX)
134 Operator theory (47-XX)
115 Functions of a complex variable (30-XX)
85 Optics, electromagnetic theory (78-XX)
65 Dynamical systems and ergodic theory (37-XX)
62 Harmonic analysis on Euclidean spaces (42-XX)
62 Probability theory and stochastic processes (60-XX)
56 Special functions (33-XX)
40 Systems theory; control (93-XX)
37 Statistical mechanics, structure of matter (82-XX)
34 Real functions (26-XX)
34 Sequences, series, summability (40-XX)
34 Computer science (68-XX)
31 Potential theory (31-XX)
29 Biology and other natural sciences (92-XX)
28 Integral transforms, operational calculus (44-XX)
28 Functional analysis (46-XX)
26 Classical thermodynamics, heat transfer (80-XX)
25 Mechanics of particles and systems (70-XX)
24 Global analysis, analysis on manifolds (58-XX)
22 Quantum theory (81-XX)
21 Number theory (11-XX)
20 Field theory and polynomials (12-XX)
18 Differential geometry (53-XX)
18 Geophysics (86-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Statistics (62-XX)
13 Information and communication theory, circuits (94-XX)
12 Combinatorics (05-XX)
12 Difference and functional equations (39-XX)
7 Group theory and generalizations (20-XX)
7 Convex and discrete geometry (52-XX)
6 Algebraic topology (55-XX)
5 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
2 General and overarching topics; collections (00-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Geometry (51-XX)

Publications by Year

Citations contained in zbMATH Open

4,266 Publications have been cited 72,889 times in 44,551 Documents Cited by Year
A note on two problems in connexion with graphs. Zbl 0092.16002
Dijkstra, E. W.
1959
Mixed finite elements in \(\mathbb{R}^3\). Zbl 0419.65069
Nedelec, Jean-Claude
712
1980
Partitioning procedures for solving mixed-variables programming problems. Zbl 0109.38302
Benders, J. F.
597
1962
Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation. Zbl 0377.65007
Craven, Peter; Wahba, Grace
538
1979
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
526
1973
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
444
1985
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
398
1979
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
339
2000
Gaussian elimination is not optimal. Zbl 0185.40101
Strassen, V.
338
1969
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
333
1997
A new family of mixed finite elements in \({\mathbb{R}}^ 3\). Zbl 0625.65107
Nédélec, J. C.
318
1986
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
314
1971
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
311
2004
A method for numerical integration on an automatic computer. Zbl 0093.14006
Clenshaw, C. W.; Curtis, A. R.
271
1960
Convolution quadrature and discretized operational calculus. I. Zbl 0637.65016
Lubich, C.
252
1988
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100
Pironneau, O.
247
1982
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Zbl 0090.34505
Halton, J. H.
236
1960
QMR: A quasi-minimal residual method for non-Hermitian linear systems. Zbl 0754.65034
Freund, Roland W.; Nachtigal, Noël M.
234
1991
Stabilization of Cowell’s method. Zbl 0219.65062
Stiefel, E.; Bettis, D. G.
215
1969
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
212
2005
Finite element methods and their convergence for elliptic and parabolic interface problems. Zbl 0909.65085
Chen, Zhiming; Zou, Jun
208
1998
A penalization method to take into account obstacles in incompressible viscous flows. Zbl 0921.76168
Angot, Philippe; Bruneau, Charles-Henri; Fabrie, Pierre
202
1999
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
198
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
194
1961
On the multi-level splitting of finite element spaces. Zbl 0608.65065
Yserentant, Harry
180
1986
On the finite volume element method. Zbl 0731.65093
Cai, Zhiqiang
179
1991
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
176
1995
On the fast matrix multiplication in the boundary element method by panel clustering. Zbl 0641.65038
Hackbusch, W.; Nowak, Z. P.
170
1989
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
169
2004
The mortar finite element method with Lagrange multipliers. Zbl 0944.65114
Ben Belgacem, Faker
168
1999
Smoothing by spline functions. Zbl 0161.36203
Reinsch, Christian H.
165
1967
Approximation of boundary element matrices. Zbl 0966.65094
Bebendorf, Mario
164
2000
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
163
1980
A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080
Ainsworth, Mark; Oden, J. Tinsley
161
1993
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
161
2003
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
159
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
155
2001
A posteriori error estimators for the Stokes equations. Zbl 0674.65092
Verfürth, R.
155
1989
Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
Lubich, C.
152
1988
Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123
Lyche, Tom
151
1972
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
146
1970
A family of mixed finite elements for the elasticity problem. Zbl 0632.73063
Stenberg, Rolf
140
1988
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
131
1987
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072
Gordon, William J.; Hall, Charles A.
129
1973
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
129
1966
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
127
1988
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Zbl 0133.08603
Oettli, W.; Prager, W.
127
1964
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
127
1964
A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086
Furihata, Daisuke
125
2001
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
124
1965
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
122
1984
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
Bercovier, M.; Pironneau, O.
121
1979
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.
117
1961
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
115
2005
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
115
1979
A family of root finding methods. Zbl 0361.65041
Hansen, Eldon; Patrick, Merrell
114
1977
The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024
Manteuffel, Thomas A.
112
1977
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
112
2011
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.
111
1967
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.
111
1968
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
110
1959
A geometric model for active contours in image processing. Zbl 0804.68159
Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise
108
1993
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
108
1978
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.
108
1977
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
107
1989
Alternating direction methods for three space variables. Zbl 0104.35001
Douglas, Jim jun.
107
1962
A general extrapolation algorithm. Zbl 0444.65001
Brezinski, C.
103
1980
Positive operators and an inertia theorem. Zbl 0158.28003
Schneider, H.
102
1965
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
100
2000
Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010
Higham, Desmond J.; Kloeden, Peter. E.
100
2005
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
99
1999
Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G.
98
2011
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.
98
1991
On the finite element method. Zbl 0176.16001
Zlámal, Miloš
98
1968
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
97
2002
Multilevel preconditioning. Zbl 0757.65031
Dahmen, Wolfgang; Kunoth, Angela
97
1992
Circular arithmetic and the determination of polynomial zeros. Zbl 0228.65038
Gargantini, Irene; Henrici, Peter
97
1972
Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204
Strang, G.
97
1964
On the rate of convergence of the preconditioned conjugate gradient method. Zbl 0564.65017
Axelsson, Owe; Lindskog, Gunhild
96
1986
An algorithm for evolutionary surfaces. Zbl 0714.65092
Dziuk, G.
96
1991
Norms and exclusion theorems. Zbl 0101.25503
Bauer, F. L.; Fike, C. T.
96
1960
Condition numbers and equilibration of matrices. Zbl 0182.48906
van der Sluis, A.
96
1969
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
94
1986
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
94
1965
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531
Elman, Howard C.; Silvester, David J.; Wathen, Andrew J.
93
2002
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
93
2003
Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen. Zbl 0202.43605
Kerner, I. O.
92
1966
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
92
1971
Unconditionally stable methods for second order differential equations. Zbl 0393.65035
Hairer, E.
91
1979
High dimensional integration of smooth functions over cubes. Zbl 0883.65016
Novak, Erich; Ritter, Klaus
91
1996
Some generalizations of positive definiteness and monotonicity. Zbl 0148.25801
Fiedler, Miroslav; Pták, Vlastimil
90
1966
\(H\)-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
89
1992
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
89
1964
Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047
Nashed, M. Z.; Chen, X.
88
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
87
2006
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
87
2001
On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Zbl 0795.65063
Lubich, Ch.
86
1994
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
86
1988
Some equilibrium finite element methods for two-dimensional elasticity problems. Zbl 0427.73072
Johnson, C.; Mercier, B.
85
1978
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
85
1972
Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. Zbl 1459.35312
Lemoine, Jérôme; Münch, Arnaud
2
2021
Convergence rates for the numerical approximation of the 2D stochastic Navier-Stokes equations. Zbl 07333542
Breit, Dominic; Dodgson, Alan
2
2021
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility. Zbl 07368942
Halla, Martin
2
2021
Numerical analysis for iterative filtering with new efficient implementations based on FFT. Zbl 07317373
Cicone, Antonio; Zhou, Haomin
1
2021
Development and analysis of a new finite element method for the Cohen-Monk PML model. Zbl 1459.65181
Chen, Meng; Huang, Yunqing; Li, Jichun
1
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
1
2021
Optimal operator preconditioning for pseudodifferential boundary problems. Zbl 07368931
Gimperlein, Heiko; Stocek, Jakub; Urzúa-Torres, Carolina
1
2021
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations. Zbl 1435.35385
Dujardin, Guillaume; Hérau, Frédéric; Lafitte, Pauline
7
2020
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. Zbl 1443.76155
Carrillo, José A.; Filbet, Francis; Schmidtchen, Markus
5
2020
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Zbl 1432.78013
Hairer, Ernst; Lubich, Christian
5
2020
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations. Zbl 1442.35459
Hu, Jingwei; Huang, Xiaodong
5
2020
A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs. Zbl 1433.65298
Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo
4
2020
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
4
2020
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 07184250
Sande, Espen; Manni, Carla; Speleers, Hendrik
4
2020
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. Zbl 1447.65130
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun
3
2020
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. Zbl 1433.49048
Winkler, Max
3
2020
A fast approach to optimal transport: the back-and-forth method. Zbl 1451.65078
Jacobs, Matt; Léger, Flavien
3
2020
Numerical quadrature in the Brillouin zone for periodic Schrödinger operators. Zbl 07178535
Cancès, Éric; Ehrlacher, Virginie; Gontier, David; Levitt, Antoine; Lombardi, Damiano
3
2020
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Zbl 1434.65312
Hairer, Ernst; Lubich, Christian; Wang, Bin
3
2020
General relaxation methods for initial-value problems with application to multistep schemes. Zbl 1456.65051
Ranocha, Hendrik; Lóczi, Lajos; Ketcheson, David I.
3
2020
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Zbl 1440.65192
Chen, Hongtao; Mao, Jingjing; Shen, Jie
3
2020
Fast QR iterations for unitary plus low rank matrices. Zbl 07153072
Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca
2
2020
A finite volume scheme for the Euler system inspired by the two velocities approach. Zbl 1435.65137
Feireisl, Eduard; Lukáčová-Medvid’Ová, Mária; Mizerová, Hana
2
2020
Finite element error estimates in \(L^2\) for regularized discrete approximations to the obstacle problem. Zbl 1433.35036
Hafemeyer, Dominik; Kahle, Christian; Pfefferer, Johannes
2
2020
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
2
2020
Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis. Zbl 07153077
Buffa, Annalisa; Dölz, Jürgen; Kurz, Stefan; Schöps, Sebastian; Vázquez, Rafael; Wolf, Felix
2
2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2
2020
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
2
2020
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
2
2020
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime. Zbl 1437.65171
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
2
2020
Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain. Zbl 1437.65195
Kashiwabara, Takahito; Kemmochi, Tomoya
2
2020
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. Zbl 1455.65204
Gedicke, Joscha; Khan, Arbaz
2
2020
Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153
Bartels, Sören; Reiter, Philipp
2
2020
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 07206576
Xiang, Shuhuang; Liu, Guidong
2
2020
The Steklov eigenvalue problem in a cuspidal domain. Zbl 1433.65265
Armentano, María G.; Lombardi, Ariel L.
1
2020
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results. Zbl 1434.82099
Blanc, X.; Cancès, E.; Dupuy, M.-S.
1
2020
Convergence of Lie group integrators. Zbl 1431.65121
Curry, Charles; Schmeding, Alexander
1
2020
A mass-lumped mixed finite element method for acoustic wave propagation. Zbl 1450.65120
Egger, H.; Radu, B.
1
2020
What makes nonholonomic integrators work? Zbl 1447.37068
Modin, Klas; Verdier, Olivier
1
2020
Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem. Zbl 1453.65404
Christof, Constantin; Haubner, Christof
1
2020
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
1
2020
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
1
2020
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
1
2020
On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems. Zbl 1446.65098
Schillings, Claudia; Sprungk, Björn; Wacker, Philipp
1
2020
\(H^1, H(\text{curl})\) and \(H(\text{div})\) conforming elements on polygon-based prisms and cones. Zbl 1446.65163
Chen, Wenbin; Wang, Yanqiu
1
2020
A domain mapping approach for elliptic equations posed on random bulk and surface domains. Zbl 1452.65330
Church, Lewis; Djurdjevac, Ana; Elliott, Charles M.
1
2020
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
1
2020
Efficient algorithms for solving the \(p\)-Laplacian in polynomial time. Zbl 1458.65151
Loisel, Sébastien
1
2020
A variational finite volume scheme for Wasserstein gradient flows. Zbl 1452.49019
Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele
1
2020
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152
Nie, Daxin; Sun, Jing; Deng, Weihua
1
2020
On efficient weighted integration via a change of variables. Zbl 1451.65020
Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W.
1
2020
A priori error estimates of regularized elliptic problems. Zbl 1451.65192
Heltai, Luca; Lei, Wenyu
1
2020
Two-level preconditioning for \(h\)-version boundary element approximation of hypersingular operator with GenEO. Zbl 1451.65215
Marchand, Pierre; Claeys, Xavier; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri
1
2020
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Zbl 1436.65122
Giesselmann, Jan; LeFloch, Philippe G.
1
2020
An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming
1
2020
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules. Zbl 1458.65158
Díaz de Alba, Patricia; Fermo, Luisa; Rodriguez, Giuseppe
1
2020
A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator. Zbl 1456.65035
Sekine, Kouta; Nakao, Mitsuhiro T.; Oishi, Shin’ichi
1
2020
The multiscale hybrid mixed method in general polygonal meshes. Zbl 1440.65177
Barrenechea, Gabriel R.; Jaillet, Fabrice; Paredes, Diego; Valentin, Frédéric
1
2020
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
20
2019
Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides. Zbl 1412.65187
Hagstrom, Thomas; Kim, Seungil
10
2019
Efficient high order algorithms for fractional integrals and fractional differential equations. Zbl 1408.65102
Banjai, L.; López-Fernández, M.
9
2019
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm. Zbl 1411.76147
Benamou, Jean-David; Carlier, Guillaume; Nenna, Luca
9
2019
Approximation in FEM, DG and IGA: a theoretical comparison. Zbl 1428.41009
Bressan, Andrea; Sande, Espen
8
2019
Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233
Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan
8
2019
Regularization of inverse problems by two-point gradient methods in Banach spaces. Zbl 07127290
Zhong, Min; Wang, Wei; Jin, Qinian
7
2019
Correcting for unknown errors in sparse high-dimensional function approximation. Zbl 1415.65030
Adcock, Ben; Bao, Anyi; Brugiapaglia, Simone
7
2019
Bouligand-Landweber iteration for a non-smooth ill-posed problem. Zbl 1418.49023
Clason, Christian; Nhu, Vu Huu
7
2019
Rational approximations to fractional powers of self-adjoint positive operators. Zbl 07088062
Aceto, Lidia; Novati, Paolo
7
2019
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
7
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
6
2019
On the infinite-dimensional QR algorithm. Zbl 07088063
Colbrook, Matthew J.; Hansen, Anders C.
6
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
6
2019
Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. Zbl 1407.65180
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl; Massing, André
6
2019
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Zbl 1462.65143
Gunzburger, Max; Li, Buyang; Wang, Jilu
6
2019
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 1453.65027
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
5
2019
Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
5
2019
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Zbl 1427.65250
Kovács, Balázs; Li, Buyang; Lubich, Christian
5
2019
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão da Veiga, L.; Manzini, G.; Mascotto, L.
5
2019
Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Zbl 1407.65263
Nochetto, Ricardo H.; Zhang, Wujun
5
2019
Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253
Gallouët, Thierry; Maltese, David; Novotny, Antonin
5
2019
Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem. Zbl 1414.35054
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A.
5
2019
Spectral Galerkin methods for transfer operators in uniformly expanding dynamics. Zbl 1421.37034
Wormell, Caroline
5
2019
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Zbl 1423.35452
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel
4
2019
Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction. Zbl 1419.65020
Guerand, Jessica; Koumaiha, Marwa
4
2019
Total roto-translational variation. Zbl 1418.53004
Chambolle, Antonin; Pock, Thomas
4
2019
Variational convergence of discrete minimal surfaces. Zbl 1408.49039
Schumacher, Henrik; Wardetzky, Max
4
2019
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Zbl 1412.65211
Gong, Shihua; Wu, Shuonan; Xu, Jinchao
4
2019
Some examples of kinetic schemes whose diffusion limit is Il’in’s exponential-fitting. Zbl 1414.65007
Gosse, Laurent; Vauchelet, Nicolas
4
2019
Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. Zbl 07037307
Cai, Wentao; Li, Buyang; Lin, Yanping; Sun, Weiwei
4
2019
Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031
Arbogast, Todd; Tao, Zhen
4
2019
Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D. Zbl 1414.65044
Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal
4
2019
Smoothing for signals with discontinuities using higher order Mumford-Shah models. Zbl 07114286
Storath, Martin; Kiefer, Lukas; Weinmann, Andreas
3
2019
Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique. Zbl 07114288
Gander, Martin J.; Wu, Shu-Lin
3
2019
Higher order convergence rates for Bregman iterated variational regularization of inverse problems. Zbl 07006668
Sprung, Benjamin; Hohage, Thorsten
3
2019
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
3
2019
Lattice rules in non-periodic subspaces of Sobolev spaces. Zbl 1415.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito
3
2019
Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure. Zbl 07017848
de Gournay, Frédéric; Kahn, Jonas; Lebrat, Léo
3
2019
Greedy optimal control for elliptic problems and its application to turnpike problems. Zbl 1408.49018
Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique
3
2019
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Zbl 1455.65031
Nouy, Anthony
3
2019
General multilevel adaptations for stochastic approximation algorithms of Robbins-Monro and Polyak-Ruppert type. Zbl 1464.62366
Dereich, Steffen; Müller-Gronbach, Thomas
3
2019
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126 Simos, Theodore E.
120 Carstensen, Carsten
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102 Schwab, Christoph
95 Wei, Yimin
88 Petković, Miodrag S.
87 Stephan, Ernst Peter
81 Bai, Zhongzhi
78 Shi, Dongyang
77 Evans, David John
76 Babuška, Ivo
73 Huang, Yunqing
72 Nochetto, Ricardo Horacio
71 Chen, Yanping
71 Serra-Capizzano, Stefano
71 Wu, Xinyuan
70 Quarteroni, Alfio M.
68 Axelsson, Axel Owe Holger
68 Peña, Juan Manuel
68 Rui, Hongxing
68 Zhang, Zhimin
67 Brenner, Susanne Cecelia
67 Dehghan Takht Fooladi, Mehdi
66 Brezinski, Claude
66 Ma, Changfeng
65 Harbrecht, Helmut
65 Huang, Ting-Zhu
64 Demkowicz, Leszek F.
64 Hackbusch, Wolfgang
64 Hadjidimos, Apostolos
64 Lubich, Christian
64 Nicaise, Serge
63 Cockburn, Bernardo
63 Guo, Ben-Yu
63 Xu, Jinchao
62 Bernardi, Christine
62 Praetorius, Dirk
62 Sloan, Ian Hugh
61 Burman, Erik
61 Wohlmuth, Barbara I.
60 Beirão da Veiga, Lourenço
60 Sayas, Francisco-Javier
59 Hughes, Thomas J. R.
58 Wheeler, Mary Fanett
57 Brezzi, Franco
57 Chen, Zhangxin
57 Jackiewicz, Zdzislaw
57 Li, Jichun
56 Gunzburger, Max D.
56 Varga, Richard Steven
55 Shu, Chi-Wang
52 Hairer, Ernst
52 Xiang, Shuhuang
51 Han, Weimin
51 Hansbo, Peter
51 Larson, Mats G.
51 Luo, Zhendong
51 Oden, John Tinsley
51 Van Barel, Marc
51 Vohralík, Martin
51 Wang, Cheng
51 Zhang, Guofeng
50 Ainsworth, Mark
50 Li, Jian
49 Golub, Gene Howard
48 Feng, Xinlong
48 Hiptmair, Ralf
48 Ruiz-Baier, Ricardo
47 Codina, Ramon
47 Heuer, Norbert
47 Mehrmann, Volker
47 Neumann, Michael
47 Weiner, Rüdiger
46 Gander, Martin Jakob
46 Hou, Yanren
46 Yang, Yidu
45 Li, Buyang
45 Maday, Yvon
45 Sauter, Stefan A.
45 Shen, Jie
45 Wendland, Wolfgang L.
45 Xu, Yuesheng
44 Pan, Victor Yakovlevich
43 Benner, Peter
43 Huang, Chengming
43 Sidi, Avram
42 Bramble, James H.
42 Ern, Alexandre
42 Glowinski, Roland
42 Hernández, Miguel Ángel
42 Rodríguez, Rodolfo
42 Szyld, Daniel B.
42 Zhang, Shangyou
42 Zou, Jun
41 Barrett, John W.
41 Bultheel, Adhemar François
41 Li, Rencang
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