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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-issues
http://link.springer.com/journal/volumesAndIssues/211
Comments: Indexed cover-to-cover
Documents Indexed: 4,775 Publications (since 1959)
References Indexed: 3,870 Publications with 77,060 References.
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Latest Issues

152, No. 1 (2022)
151, No. 4 (2022)
151, No. 3 (2022)
151, No. 2 (2022)
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137, No. 3 (2017)
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136, No. 1 (2017)
135, No. 4 (2017)
135, No. 3 (2017)
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133, No. 4 (2016)
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132, No. 3 (2016)
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131, No. 4 (2015)
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130, No. 1 (2015)
129, No. 4 (2015)
129, No. 3 (2015)
129, No. 2 (2015)
129, No. 1 (2015)
128, No. 4 (2014)
128, No. 3 (2014)
128, No. 2 (2014)
128, No. 1 (2014)
127, No. 4 (2014)
127, No. 3 (2014)
127, No. 2 (2014)
...and 387 more Volumes
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Authors

50 Carstensen, Carsten
42 Varga, Richard Steven
35 Lubich, Christian
28 Sloan, Ian Hugh
26 Wilkinson, James Hardy
25 Babuška, Ivo
25 Hackbusch, Wolfgang
24 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 William
19 Douglas, Jim jun.
19 Stephan, Ernst Peter
17 Szyld, Daniel B.
17 Xu, Jinchao
16 Schneider, Reinhold
15 Braess, Dietrich
15 Golub, Gene Howard
14 Brezinski, Claude
14 Brezzi, Franco
14 Natterer, Frank
14 Schöberl, Joachim
13 Alefeld, Götz E.
13 Brenner, Susanne Cecelia
13 Parlett, Beresford Neill
13 Prohl, Andreas
13 Reichel, Lothar
13 Sauter, Stefan A.
13 Schmidt, Jochen Wilhelm
12 Bank, Randolph E.
12 Bartels, Sören
12 Burman, Erik
12 Dahmen, Wolfgang A.
12 Graham, Ivan G.
12 Heuer, Norbert
12 Householder, Alston Scott
12 Larson, Mats G.
12 Li, Buyang
12 Lyness, James N.
12 Mehrmann, Volker
12 Quarteroni, Alfio M.
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 Jin, Qinian
11 Maday, Yvon
11 Makridakis, Charalambos G.
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 Kovács, Balázs
10 Nevanlinna, Olavi
10 Parter, Seymour V.
10 Praetorius, Dirk
10 Rappaz, Jacques
10 Rutishauser, Heinz
10 Sanz-Serna, Jesús María
10 Serra-Capizzano, Stefano
10 Steinbach, Olaf
10 Süli, Endre E.
10 Sun, Jiguang
9 Buffa, Annalisa
9 Ciarlet, Philippe Gaston
9 Deuflhard, Peter
9 Dryja, Maksymilian
9 Elsner, Ludwig F.
9 Gatica, Gabriel N.
9 Gunzburger, Max D.
9 Kress, Rainer
9 Niethammer, Wilhelm
9 Osborne, Michael Robert
9 Reinsch, Christian H.
9 Rentrop, Peter
9 Schröder, Johann
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
...and 4,118 more Authors
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Fields

3,928 Numerical analysis (65-XX)
1,388 Partial differential equations (35-XX)
480 Approximations and expansions (41-XX)
387 Fluid mechanics (76-XX)
310 Ordinary differential equations (34-XX)
251 Mechanics of deformable solids (74-XX)
222 Linear and multilinear algebra; matrix theory (15-XX)
191 Calculus of variations and optimal control; optimization (49-XX)
139 Integral equations (45-XX)
137 Operator theory (47-XX)
137 Operations research, mathematical programming (90-XX)
115 Functions of a complex variable (30-XX)
90 Optics, electromagnetic theory (78-XX)
68 Dynamical systems and ergodic theory (37-XX)
65 Probability theory and stochastic processes (60-XX)
63 Harmonic analysis on Euclidean spaces (42-XX)
58 Special functions (33-XX)
42 Systems theory; control (93-XX)
38 Statistical mechanics, structure of matter (82-XX)
37 Computer science (68-XX)
36 Real functions (26-XX)
34 Sequences, series, summability (40-XX)
32 Potential theory (31-XX)
29 Functional analysis (46-XX)
29 Biology and other natural sciences (92-XX)
28 Integral transforms, operational calculus (44-XX)
26 Global analysis, analysis on manifolds (58-XX)
26 Classical thermodynamics, heat transfer (80-XX)
25 Mechanics of particles and systems (70-XX)
22 Number theory (11-XX)
22 Quantum theory (81-XX)
21 Differential geometry (53-XX)
20 Field theory and polynomials (12-XX)
19 Geophysics (86-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 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)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

4,360 Publications have been cited 79,642 times in 48,722 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
783
1980
Partitioning procedures for solving mixed-variables programming problems. Zbl 0109.38302
Benders, J. F.
666
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
585
1979
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
559
1973
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
490
1985
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
400
2000
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
398
1979
Gaussian elimination is not optimal. Zbl 0185.40101
Strassen, V.
377
1969
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
370
1997
A new family of mixed finite elements in \({\mathbb{R}}^ 3\). Zbl 0625.65107
Nédélec, J. C.
355
1986
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
347
2004
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
343
1971
Convolution quadrature and discretized operational calculus. I. Zbl 0637.65016
Lubich, C.
298
1988
A method for numerical integration on an automatic computer. Zbl 0093.14006
Clenshaw, C. W.; Curtis, A. R.
287
1960
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100
Pironneau, O.
262
1982
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Zbl 0090.34505
Halton, J. H.
252
1960
QMR: A quasi-minimal residual method for non-Hermitian linear systems. Zbl 0754.65034
Freund, Roland W.; Nachtigal, Noël M.
243
1991
Finite element methods and their convergence for elliptic and parabolic interface problems. Zbl 0909.65085
Chen, Zhiming; Zou, Jun
243
1998
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
239
2005
A penalization method to take into account obstacles in incompressible viscous flows. Zbl 0921.76168
Angot, Philippe; Bruneau, Charles-Henri; Fabrie, Pierre
234
1999
Stabilization of Cowell’s method. Zbl 0219.65062
Stiefel, E.; Bettis, D. G.
232
1969
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
225
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
208
1961
On the finite volume element method. Zbl 0731.65093
Cai, Zhiqiang
205
1991
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
200
2003
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
198
1995
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
197
2004
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
188
2001
Approximation of boundary element matrices. Zbl 0966.65094
Bebendorf, Mario
184
2000
On the multi-level splitting of finite element spaces. Zbl 0608.65065
Yserentant, Harry
183
1986
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
183
2002
The mortar finite element method with Lagrange multipliers. Zbl 0944.65114
Ben Belgacem, Faker
181
1999
On the fast matrix multiplication in the boundary element method by panel clustering. Zbl 0641.65038
Hackbusch, W.; Nowak, Z. P.
177
1989
Smoothing by spline functions. Zbl 0161.36203
Reinsch, Christian H.
175
1967
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
172
1980
Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
Lubich, C.
169
1988
Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123
Lyche, Tom
168
1972
A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080
Ainsworth, Mark; Oden, J. Tinsley
166
1993
A posteriori error estimators for the Stokes equations. Zbl 0674.65092
Verfürth, R.
161
1989
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
156
1970
A family of mixed finite elements for the elasticity problem. Zbl 0632.73063
Stenberg, Rolf
153
1988
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
145
1987
A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086
Furihata, Daisuke
139
2001
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072
Gordon, William J.; Hall, Charles A.
136
1973
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
134
2005
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
134
1988
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
133
1964
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Zbl 0133.08603
Oettli, W.; Prager, W.
132
1964
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
Bercovier, M.; Pironneau, O.
132
1979
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
131
1966
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
131
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.
129
1984
A geometric model for active contours in image processing. Zbl 0804.68159
Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise
129
1993
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.
126
1961
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
123
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.
122
1991
A family of root finding methods. Zbl 0361.65041
Hansen, Eldon; Patrick, Merrell
122
1977
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
122
1979
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
120
2003
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
117
1989
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
115
1959
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
114
2000
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.
113
1967
The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024
Manteuffel, Thomas A.
113
1977
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
112
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.
112
1977
Alternating direction methods for three space variables. Zbl 0104.35001
Douglas, Jim jun.
111
1962
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
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
111
1999
Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010
Higham, Desmond J.; Kloeden, Peter. E.
109
2005
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Zbl 0762.65074
Copetti, M. I. M.; Elliott, C. M.
106
1992
An algorithm for evolutionary surfaces. Zbl 0714.65092
Dziuk, G.
106
1991
A general extrapolation algorithm. Zbl 0444.65001
Brezinski, C.
105
1980
Positive operators and an inertia theorem. Zbl 0158.28003
Schneider, H.
104
1965
On the finite element method. Zbl 0176.16001
Zlámal, Miloš
104
1968
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
104
2002
Norms and exclusion theorems. Zbl 0101.25503
Bauer, F. L.; Fike, C. T.
103
1960
\(H\)-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
103
1992
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
102
1965
Condition numbers and equilibration of matrices. Zbl 0182.48906
van der Sluis, A.
102
1969
Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G.
102
2011
Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204
Strang, G.
101
1964
Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Zbl 1103.65074
Zhang, Li; Zhou, Weijun; Li, Donghui
100
2006
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.
99
2002
Multilevel preconditioning. Zbl 0757.65031
Dahmen, Wolfgang; Kunoth, Angela
99
1992
On the rate of convergence of the preconditioned conjugate gradient method. Zbl 0564.65017
Axelsson, Owe; Lindskog, Gunhild
98
1986
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
98
2001
Circular arithmetic and the determination of polynomial zeros. Zbl 0228.65038
Gargantini, Irene; Henrici, Peter
98
1972
High dimensional integration of smooth functions over cubes. Zbl 0883.65016
Novak, Erich; Ritter, Klaus
97
1996
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
96
1971
Pricing early-exercise and discrete barrier options by Fourier-cosine series expansions. Zbl 1185.91176
Fang, F.; Oosterlee, C. W.
96
2009
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
96
1986
Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen. Zbl 0202.43605
Kerner, I. O.
95
1966
Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations. Zbl 0637.76024
Süli, Endre
94
1988
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
94
1964
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
94
1972
Unconditionally stable methods for second order differential equations. Zbl 0393.65035
Hairer, E.
94
1979
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
94
2007
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
93
2004
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. Zbl 07507893
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
2
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.
1
2022
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Zbl 07493698
Burman, Erik; Frei, Stefan; Massing, Andre
1
2022
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique
1
2022
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems. Zbl 07493700
Helin, Tapio; Kretschmann, Remo
1
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.
1
2022
Kernel-independent adaptive construction of \(\mathcal{H}^2\)-matrix approximations. Zbl 07459674
Bauer, M.; Bebendorf, M.; Feist, B.
1
2022
A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
1
2022
A reduced basis method for fractional diffusion operators. I. Zbl 07536676
Danczul, Tobias; Schöberl, Joachim
1
2022
Robust treatment of cross-points in optimized Schwarz methods. Zbl 07536677
Claeys, Xavier; Parolin, Emile
1
2022
Error estimates for deep learning methods in fluid dynamics. Zbl 07549406
Biswas, A.; Tian, J.; Ulusoy, S.
1
2022
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Zbl 1459.35392
Harrach, Bastian
9
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
7
2021
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Zbl 1491.65086
Shen, Jie; Xu, Jie
5
2021
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. Zbl 1481.65174
Li, Buyang; Wu, Yifei
5
2021
Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. Zbl 1459.35312
Lemoine, Jérôme; Münch, Arnaud
5
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Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility. Zbl 07368942
Halla, Martin
4
2021
A Convergent evolving finite element algorithm for Willmore flow of closed surfaces. Zbl 07459671
Kovács, Balázs; Li, Buyang; Lubich, Christian
4
2021
The \(J\)-method for the Gross-Pitaevskii eigenvalue problem. Zbl 07387429
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
4
2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
4
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
4
2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021
Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C.
4
2021
Convergence rates for the numerical approximation of the 2D stochastic Navier-Stokes equations. Zbl 1468.65136
Breit, Dominic; Dodgson, Alan
3
2021
Sparse harmonic transforms. II: Best \(s\)-term approximation guarantees for bounded orthonormal product bases in sublinear-time. Zbl 1483.65030
Choi, Bosu; Iwen, Mark; Volkmer, Toni
3
2021
Dynamical reduced basis methods for Hamiltonian systems. Zbl 1471.65217
Pagliantini, Cecilia
3
2021
Corners and stable optimized domain decomposition methods for the Helmholtz problem. Zbl 1480.35108
Després, B.; Nicolopoulos, A.; Thierry, B.
3
2021
Domain decomposition for entropy regularized optimal transport. Zbl 1484.65134
Bonafini, Mauro; Schmitzer, Bernhard
3
2021
On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation. Zbl 07387428
Chaumont-Frelet, T.; Ern, A.; Vohralík, M.
3
2021
Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006
Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul
3
2021
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Zbl 1468.65191
Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan; Vohralík, Martin
2
2021
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111
Bartels, Sören; Wang, Zhangxian
2
2021
Preconditioning high order \(H^2\) conforming finite elements on triangles. Zbl 1472.65138
Ainsworth, Mark; Parker, Charles
2
2021
On the method of reflections. Zbl 1478.65140
Laurent, Philippe; Legendre, Guillaume; Salomon, Julien
2
2021
A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach. Zbl 1483.65047
Mazza, M.; Semplice, M.; Serra-Capizzano, S.; Travaglia, E.
2
2021
Numerical analysis for iterative filtering with new efficient implementations based on FFT. Zbl 1469.65181
Cicone, Antonio; Zhou, Haomin
2
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Bulk-surface virtual element method for systems of PDEs in two-space dimensions. Zbl 1459.65182
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
2
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How much faster does the best polynomial approximation converge than Legendre projection? Zbl 1475.41007
Wang, Haiyong
2
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Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133
Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas
1
2021
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography. Zbl 1468.65178
Garde, Henrik; Hyvönen, Nuutti
1
2021
Boundary element methods for acoustic scattering by fractal screens. Zbl 1475.65209
Chandler-Wilde, Simon N.; Hewett, David P.; Moiola, Andrea; Besson, Jeanne
1
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Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations. Zbl 1465.65100
Liu, Hailiang
1
2021
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods. Zbl 1465.35166
Xu, Liwei; Yin, Tao
1
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Correction to: “Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations”. Zbl 1467.35308
Nick, Jörg; Kovács, Balázs; Lubich, Christian
1
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Optimal operator preconditioning for pseudodifferential boundary problems. Zbl 1477.65214
Gimperlein, Heiko; Stocek, Jakub; Urzúa-Torres, Carolina
1
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Functions of rational Krylov space matrices and their decay properties. Zbl 1470.65081
Pozza, Stefano; Simoncini, Valeria
1
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A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit. Zbl 1469.65015
Løvbak, Emil; Samaey, Giovanni; Vandewalle, Stefan
1
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A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. Zbl 1486.65168
Georgoulis, Emmanuil H.; Lakkis, Omar; Wihler, Thomas P.
1
2021
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling. Zbl 1484.37098
Bunder, J. E.; Kevrekidis, I. G.; Roberts, A. J.
1
2021
Maximal spaces for approximation rates in \(\ell^1\)-regularization. Zbl 07437235
Miller, Philip; Hohage, Thorsten
1
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Construction of weak solutions to compressible Navier-Stokes equations with general inflow/outflow boundary conditions via a numerical approximation. Zbl 1479.35621
Kwon, Young-Sam; Novotný, Antonin
1
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Corrected trapezoidal rules for boundary integral equations in three dimensions. Zbl 1477.65272
Wu, Bowei; Martinsson, Per-Gunnar
1
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Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. Zbl 1483.35269
Filbet, Francis; Rodrigues, L. Miguel; Zakerzadeh, Hamed
1
2021
MDFEM: multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM. Zbl 07387431
Nguyen, Dong T. P.; Nuyens, Dirk
1
2021
AS++ T-splines: arbitrary degree, nestedness and approximation. Zbl 1479.41009
Li, Xiliang; Li, Xin
1
2021
Fiber product homotopy method for multiparameter eigenvalue problems. Zbl 1473.65061
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng
1
2021
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems. Zbl 1477.65241
Sánchez, Nestor; Sánchez-Vizuet, Tonatiuh; Solano, Manuel E.
1
2021
Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. Zbl 1477.35273
Chen, Qingshan; Ju, Lili; Temam, Roger
1
2021
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 07418777
Nabet, Flore
1
2021
On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Zbl 1467.65091
Melenk, Jens Markus; Rieder, Alexander
1
2021
A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations. Zbl 1459.35313
Li, Buyang
1
2021
Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. Zbl 1459.65178
Baird, Graham; Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo
1
2021
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations. Zbl 1442.35459
Hu, Jingwei; Huang, Xiaodong
15
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
13
2020
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Zbl 1434.65312
Hairer, Ernst; Lubich, Christian; Wang, Bin
11
2020
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Zbl 1440.65192
Chen, Hongtao; Mao, Jingjing; Shen, Jie
10
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
10
2020
A relaxed Kačanov iteration for the \(p\)-Poisson problem. Zbl 1442.65362
Diening, L.; Fornasier, M.; Tomasi, R.; Wank, M.
9
2020
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations. Zbl 1435.35385
Dujardin, Guillaume; Hérau, Frédéric; Lafitte, Pauline
9
2020
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Zbl 1432.78013
Hairer, Ernst; Lubich, Christian
9
2020
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026
Sande, Espen; Manni, Carla; Speleers, Hendrik
8
2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
8
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
8
2020
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
7
2020
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
6
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
6
2020
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
6
2020
A fast approach to optimal transport: the back-and-forth method. Zbl 1451.65078
Jacobs, Matt; Léger, Flavien
6
2020
General relaxation methods for initial-value problems with application to multistep schemes. Zbl 1456.65051
Ranocha, Hendrik; Lóczi, Lajos; Ketcheson, David I.
6
2020
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
5
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
5
2020
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. Zbl 1455.65204
Gedicke, Joscha; Khan, Arbaz
5
2020
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals. Zbl 1446.65160
Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Walker, Shawn W.
5
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
4
2020
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. Zbl 1433.49048
Winkler, Max
4
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
4
2020
Numerical quadrature in the Brillouin zone for periodic Schrödinger operators. Zbl 07178535
Cancès, Éric; Ehrlacher, Virginie; Gontier, David; Levitt, Antoine; Lombardi, Damiano
4
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
4
2020
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
4
2020
A variational finite volume scheme for Wasserstein gradient flows. Zbl 1452.49019
Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele
4
2020
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form. Zbl 1455.65166
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Kreiss, Gunilla; Bader, Michael
4
2020
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 07206576
Xiang, Shuhuang; Liu, Guidong
3
2020
The multiscale hybrid mixed method in general polygonal meshes. Zbl 1440.65177
Barrenechea, Gabriel R.; Jaillet, Fabrice; Paredes, Diego; Valentin, Frédéric
3
2020
What makes nonholonomic integrators work? Zbl 1447.37068
Modin, Klas; Verdier, Olivier
3
2020
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
3
2020
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
3
2020
Fast QR iterations for unitary plus low rank matrices. Zbl 07153072
Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca
3
2020
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results. Zbl 1434.82099
Blanc, X.; Cancès, E.; Dupuy, M.-S.
3
2020
Exponential convergence in \(H^1\) of hp-FEM for Gevrey regularity with isotropic singularities. Zbl 1433.65290
Feischl, M.; Schwab, Ch.
3
2020
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
3
2020
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152
Nie, Daxin; Sun, Jing; Deng, Weihua
3
2020
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146 Argyros, Ioannis Konstantinos
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134 He, Yinnian
131 Carstensen, Carsten
124 Reichel, Lothar
112 Gatica, Gabriel N.
106 Schwab, Christoph
100 Wei, Yimin
92 Huang, Yunqing
90 Petković, Miodrag S.
88 Chen, Yanping
87 Stephan, Ernst Peter
85 Shi, Dongyang
84 Zhang, Zhimin
82 Bai, Zhongzhi
78 Babuška, Ivo
78 Nochetto, Ricardo Horacio
77 Evans, David John
77 Serra-Capizzano, Stefano
76 Burman, Erik
76 Dehghan Takht Fooladi, Mehdi
76 Wu, Xinyuan
73 Peña, Juan Manuel
73 Praetorius, Dirk
73 Rui, Hongxing
72 Harbrecht, Helmut
72 Xu, Jinchao
71 Axelsson, Axel Owe Holger
71 Quarteroni, Alfio M.
70 Brenner, Susanne Cecelia
70 Ma, Changfeng
69 Lubich, Christian
67 Brezinski, Claude
67 Cockburn, Bernardo
67 Hackbusch, Wolfgang
67 Wang, Cheng
66 Beirão da Veiga, Lourenço
66 Nicaise, Serge
65 Demkowicz, Leszek F.
65 Hadjidimos, Apostolos
65 Huang, Ting-Zhu
64 Guo, Ben-Yu
64 Hughes, Thomas J. R.
64 Sloan, Ian Hugh
64 Wohlmuth, Barbara I.
63 Bernardi, Christine
62 Li, Jichun
61 Chen, Zhangxin
61 Shu, Chi-Wang
61 Wheeler, Mary Fanett
60 Feng, Xinlong
60 Jackiewicz, Zdzislaw
60 Sayas, Francisco-Javier
59 Gunzburger, Max D.
59 Xiang, Shuhuang
57 Brezzi, Franco
57 Luo, Zhendong
56 Han, Weimin
56 Hiptmair, Ralf
56 Li, Buyang
56 Ruiz-Baier, Ricardo
56 Varga, Richard Steven
55 Hansbo, Peter
55 Vohralík, Martin
54 Hairer, Ernst
54 Larson, Mats G.
54 Li, Jian
53 Ainsworth, Mark
53 Oden, John Tinsley
53 Van Barel, Marc
52 Mehrmann, Volker
52 Yang, Yidu
52 Zhang, Guofeng
51 Heuer, Norbert
50 Golub, Gene Howard
50 Shen, Jie
50 Zhang, Shangyou
49 Hou, Yanren
49 Sauter, Stefan A.
48 Chung, Tsz Shun Eric
48 Codina, Ramon
48 Ern, Alexandre
48 Neumann, Michael
48 Weiner, Rüdiger
47 Benner, Peter
47 Gander, Martin Jakob
47 Glowinski, Roland
47 Maday, Yvon
47 Wendland, Wolfgang L.
47 Xu, Da
45 Manzini, Gianmarco
45 Pan, Victor Yakovlevich
45 Schneider, Reinhold
45 Wang, Hong
45 Xu, Yuesheng
45 Zhang, Chengjian
44 Droniou, Jérôme
44 Huang, Chengming
44 Manni, Carla
44 Neta, Beny
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