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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: Journal; Indexed cover-to-cover
Documents Indexed: 4,854 Publications (since 1959)
References Indexed: 3,947 Publications with 80,157 References.
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Latest Issues

156, No. 1 (2024)
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132, No. 4 (2016)
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132, No. 1 (2016)
131, No. 4 (2015)
131, No. 3 (2015)
131, No. 2 (2015)
131, No. 1 (2015)
130, No. 4 (2015)
130, No. 3 (2015)
130, No. 2 (2015)
130, No. 1 (2015)
...and 398 more Volumes
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Authors

54 Carstensen, Carsten
42 Varga, Richard Steven
35 Lubich, Christian
29 Sloan, Ian Hugh
26 Babuška, Ivo
26 Wilkinson, James Hardy
25 Hackbusch, Wolfgang
24 Hairer, Ernst
24 Schwab, Christoph
23 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
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 Larson, Mats 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 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 Ciarlet, Philippe Gaston
9 Deuflhard, Peter
9 Dryja, Maksymilian
9 Elsner, Ludwig F.
9 Gatica, Gabriel N.
9 Gunzburger, Max D.
9 Harbrecht, Helmut
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
...and 4,224 more Authors
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Fields

4,004 Numerical analysis (65-XX)
1,425 Partial differential equations (35-XX)
490 Approximations and expansions (41-XX)
399 Fluid mechanics (76-XX)
311 Ordinary differential equations (34-XX)
256 Mechanics of deformable solids (74-XX)
225 Linear and multilinear algebra; matrix theory (15-XX)
199 Calculus of variations and optimal control; optimization (49-XX)
143 Integral equations (45-XX)
141 Operations research, mathematical programming (90-XX)
139 Operator theory (47-XX)
115 Functions of a complex variable (30-XX)
96 Optics, electromagnetic theory (78-XX)
71 Dynamical systems and ergodic theory (37-XX)
67 Probability theory and stochastic processes (60-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
61 Special functions (33-XX)
45 Systems theory; control (93-XX)
40 Computer science (68-XX)
39 Real functions (26-XX)
39 Statistical mechanics, structure of matter (82-XX)
35 Potential theory (31-XX)
34 Sequences, series, summability (40-XX)
31 Biology and other natural sciences (92-XX)
30 Functional analysis (46-XX)
28 Integral transforms, operational calculus (44-XX)
28 Global analysis, analysis on manifolds (58-XX)
26 Classical thermodynamics, heat transfer (80-XX)
25 Mechanics of particles and systems (70-XX)
24 Quantum theory (81-XX)
22 Number theory (11-XX)
21 Differential geometry (53-XX)
20 Field theory and polynomials (12-XX)
19 Geophysics (86-XX)
18 Statistics (62-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Information and communication theory, circuits (94-XX)
12 Combinatorics (05-XX)
12 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
7 Group theory and generalizations (20-XX)
6 Algebraic topology (55-XX)
5 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
3 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 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

4,486 Publications have been cited 92,093 times in 55,549 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
1980
Partitioning procedures for solving mixed-variables programming problems. Zbl 0109.38302
Benders, J. F.
761
1962
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
653
1973
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
647
1979
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
579
1985
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
504
2000
Gaussian elimination is not optimal. Zbl 0185.40101
Strassen, V.
443
1969
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
437
1997
A new family of mixed finite elements in \({\mathbb{R}}^ 3\). Zbl 0625.65107
Nédélec, J. C.
435
1986
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
421
1971
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
415
1979
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
371
2004
Convolution quadrature and discretized operational calculus. I. Zbl 0637.65016
Lubich, C.
360
1988
A method for numerical integration on an automatic computer. Zbl 0093.14006
Clenshaw, C. W.; Curtis, A. R.
330
1960
Finite element methods and their convergence for elliptic and parabolic interface problems. Zbl 0909.65085
Chen, Zhiming; Zou, Jun
308
1998
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Zbl 0090.34505
Halton, J. H.
291
1960
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100
Pironneau, O.
290
1982
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
271
2005
A penalization method to take into account obstacles in incompressible viscous flows. Zbl 0921.76168
Angot, Philippe; Bruneau, Charles-Henri; Fabrie, Pierre
269
1999
Stabilization of Cowell’s method. Zbl 0219.65062
Stiefel, E.; Bettis, D. G.
260
1969
QMR: A quasi-minimal residual method for non-Hermitian linear systems. Zbl 0754.65034
Freund, Roland W.; Nachtigal, Noël M.
259
1991
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
257
2004
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
254
2003
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
242
1995
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
238
2001
On the finite volume element method. Zbl 0731.65093
Cai, Zhiqiang
236
1991
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
229
1961
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
222
2004
Approximation of boundary element matrices. Zbl 0966.65094
Bebendorf, Mario
219
2000
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
215
2002
The mortar finite element method with Lagrange multipliers. Zbl 0944.65114
Ben Belgacem, Faker
201
1999
On the multi-level splitting of finite element spaces. Zbl 0608.65065
Yserentant, Harry
199
1986
On the fast matrix multiplication in the boundary element method by panel clustering. Zbl 0641.65038
Hackbusch, W.; Nowak, Z. P.
195
1989
Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
Lubich, C.
191
1988
Smoothing by spline functions. Zbl 0161.36203
Reinsch, Christian H.
191
1967
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
187
1980
Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123
Lyche, Tom
183
1972
A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080
Ainsworth, Mark; Oden, J. Tinsley
181
1993
A posteriori error estimators for the Stokes equations. Zbl 0674.65092
Verfürth, R.
178
1989
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.
172
1991
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
172
1970
A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086
Furihata, Daisuke
169
2001
A family of mixed finite elements for the elasticity problem. Zbl 0632.73063
Stenberg, Rolf
169
1988
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
164
2003
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072
Gordon, William J.; Hall, Charles A.
161
1973
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
161
1987
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
158
2011
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
158
1964
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
148
2004
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.
148
1961
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
143
2005
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
143
1984
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
Bercovier, M.; Pironneau, O.
142
1979
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
142
1965
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
141
2000
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Zbl 0133.08603
Oettli, W.; Prager, W.
141
1964
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
140
1979
A geometric model for active contours in image processing. Zbl 0804.68159
Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise
139
1993
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
139
1988
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
139
1966
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
138
1989
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
133
2007
A posteriori error estimates for the virtual element method. Zbl 1384.65079
Cangiani, Andrea; Georgoulis, Emmanuil H.; Pryer, Tristan; Sutton, Oliver J.
131
2017
A family of root finding methods. Zbl 0361.65041
Hansen, Eldon; Patrick, Merrell
130
1977
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Zbl 0762.65074
Copetti, M. I. M.; Elliott, C. M.
129
1992
An algorithm for evolutionary surfaces. Zbl 0714.65092
Dziuk, G.
129
1991
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
127
1999
Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010
Higham, Desmond J.; Kloeden, Peter. E.
127
2005
Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Zbl 1103.65074
Zhang, Li; Zhou, Weijun; Li, Donghui
126
2006
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.
126
1977
Alternating direction methods for three space variables. Zbl 0104.35001
Douglas, Jim jun.
126
1962
The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024
Manteuffel, Thomas A.
124
1977
\(H\)-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
121
1992
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
121
2016
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
120
1978
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
120
2001
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
120
1959
Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G.
119
2011
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
119
2002
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
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
117
2000
A general extrapolation algorithm. Zbl 0444.65001
Brezinski, C.
117
1980
Norms and exclusion theorems. Zbl 0101.25503
Bauer, F. L.; Fike, C. T.
116
1960
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 second-order accurate numerical method for a fractional wave equation. Zbl 1111.65113
McLean, William; Mustapha, Kassem
115
2007
Pricing early-exercise and discrete barrier options by Fourier-cosine series expansions. Zbl 1185.91176
Fang, F.; Oosterlee, C. W.
115
2009
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.
114
2017
On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Zbl 0795.65063
Lubich, Ch.
113
1994
Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204
Strang, G.
111
1964
Positive operators and an inertia theorem. Zbl 0158.28003
Schneider, H.
111
1965
On the finite element method. Zbl 0176.16001
Zlámal, Miloš
111
1968
Condition numbers and equilibration of matrices. Zbl 0182.48906
van der Sluis, A.
111
1969
A posteriori error estimators for convection-diffusion equations. Zbl 0913.65095
Verfürth, R.
109
1998
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
109
2009
Multilevel preconditioning. Zbl 0757.65031
Dahmen, Wolfgang; Kunoth, Angela
108
1992
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
108
1965
Locking effects in the finite element approximation of elasticity problems. Zbl 0762.65057
Babuška, Ivo; Suri, Manil
107
1992
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
107
1964
High dimensional integration of smooth functions over cubes. Zbl 0883.65016
Novak, Erich; Ritter, Klaus
105
1996
An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions. Zbl 1509.65115
Ji, Haifeng
3
2023
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics. Zbl 1509.65096
Gao, Huadong; Qiu, Weifeng; Sun, Weiwei
3
2023
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system. Zbl 1512.35437
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; She, Bangwei
3
2023
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation. Zbl 07663718
Saha, Jitraj; Singh, Mehakpreet
2
2023
An averaged space-time discretization of the stochastic \(p\)-Laplace system. Zbl 1509.65112
Diening, Lars; Hofmanová, Martina; Wichmann, Jörn
2
2023
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions. Zbl 1527.65091
Aimi, Alessandra; Di Credico, Giulia; Gimperlein, Heiko; Stephan, Ernst P.
2
2023
Interpolation on the cubed sphere with spherical harmonics. Zbl 07663711
Bellet, Jean-Baptiste; Brachet, Matthieu; Croisille, Jean-Pierre
1
2023
A unifying framework for tangential interpolation of structured bilinear control systems. Zbl 07819971
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
1
2023
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations. Zbl 1529.65114
Hassan, Muhammad; Maday, Yvon; Wang, Yipeng
1
2023
Improved ParaDiag via low-rank updates and interpolation. Zbl 1523.65041
Kressner, Daniel; Massei, Stefano; Zhu, Junli
1
2023
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type. Zbl 07687161
Zhou, Guanyu; Jing, Feifei; Kashiwabara, Takahito
1
2023
Exponential convergence of hp FEM for spectral fractional diffusion in polygons. Zbl 1511.65117
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph
1
2023
A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique derivatives boundary conditions. Zbl 1505.49022
Calzola, Elisa; Carlini, Elisabetta; Dupuis, Xavier; Silva, Francisco J.
1
2023
Stochastic collocation method for computing eigenspaces of parameter-dependent operators. Zbl 1507.65226
Grubišić, Luka; Saarikangas, Mikael; Hakula, Harri
1
2023
Goal-oriented adaptive finite element methods with optimal computational complexity. Zbl 1510.65292
Becker, Roland; Gantner, Gregor; Innerberger, Michael; Praetorius, Dirk
1
2023
Nonnegative low rank tensor approximations with multidimensional image applications. Zbl 07643518
Jiang, Tai-Xiang; Ng, Michael K.; Pan, Junjun; Song, Guang-Jing
1
2023
Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. Zbl 1518.65083
Calvez, Vincent; Hivert, Hélène; Yoldaş, Havva
1
2023
On the iterative regularization of non-linear illposed problems in \(L^{\infty}\). Zbl 1521.65047
Pieronek, Lukas; Rieder, Andreas
1
2023
The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. Zbl 1529.65119
Cheng, Yao; Stynes, Martin
1
2023
Stabilization-free HHO a posteriori error control. Zbl 1529.65116
Bertrand, Fleurianne; Carstensen, Carsten; Gräßle, Benedikt; Ngoc Tien Tran
1
2023
Multilevel quasi-Monte Carlo for optimization under uncertainty. Zbl 1521.65007
Guth, Philipp A.; Van Barel, Andreas
1
2023
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. Zbl 1492.65313
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
11
2022
A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
11
2022
Robust treatment of cross-points in optimized Schwarz methods. Zbl 1492.65343
Claeys, Xavier; Parolin, Emile
9
2022
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow. Zbl 1496.65163
Hu, Jiashun; Li, Buyang
7
2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Zbl 07565226
Elliott, Charles M.; Garcke, Harald; Kovács, Balázs
7
2022
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. Zbl 1501.65049
Chainais-Hillairet, Claire; Herda, Maxime; Lemaire, Simon; Moatti, Julien
7
2022
Universal algorithms for computing spectra of periodic operators. Zbl 1486.35157
Ben-Artzi, Jonathan; Marletta, Marco; Rösler, Frank
6
2022
CutFEM based on extended finite element spaces. Zbl 1497.65221
Burman, Erik; Hansbo, Peter; Larson, Mats G.
6
2022
Direct serendipity and mixed finite elements on convex quadrilaterals. Zbl 1486.65239
Arbogast, Todd; Tao, Zhen; Wang, Chuning
5
2022
An adaptive finite element DtN method for the elastic wave scattering problem. Zbl 1491.65119
Li, Peijun; Yuan, Xiaokai
5
2022
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Zbl 07493698
Burman, Erik; Frei, Stefan; Massing, Andre
5
2022
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems. Zbl 1523.47061
Helin, Tapio; Kretschmann, Remo
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
A reduced basis method for fractional diffusion operators. I. Zbl 1496.65216
Danczul, Tobias; Schöberl, Joachim
4
2022
Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. Zbl 1493.65190
Beik, Fatemeh Panjeh Ali; Benzi, Michele
4
2022
Finite difference formulation of any lattice Boltzmann scheme. Zbl 1504.76056
Bellotti, Thomas; Graille, Benjamin; Massot, Marc
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
A multipoint stress-flux mixed finite element method for the Stokes-Biot model. Zbl 1530.76040
Caucao, Sergio; Li, Tongtong; Yotov, Ivan
4
2022
Large-stepsize integrators for charged-particle dynamics over multiple time scales. Zbl 1510.65314
Hairer, Ernst; Lubich, Christian; Shi, Yanyan
4
2022
Error estimates for deep learning methods in fluid dynamics. Zbl 1492.35216
Biswas, A.; Tian, J.; Ulusoy, S.
4
2022
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. Zbl 1501.65105
Balci, Anna Kh.; Ortner, Christoph; Storn, Johannes
4
2022
Convergence rates of a dual gradient method for constrained linear ill-posed problems. Zbl 1498.65077
Jin, Qinian
4
2022
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: Convection-dominated regime. Zbl 1486.35165
Burman, Erik; Nechita, Mihai; Oksanen, Lauri
3
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Caccioppoli-type estimates and \(\mathcal{H}\)-matrix approximations to inverses for FEM-BEM couplings. Zbl 1501.65114
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
3
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.
3
2022
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. Zbl 1490.35345
Otárola, Enrique; Salgado, Abner J.
3
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.
3
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The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique
3
2022
A DPG method for shallow shells. Zbl 1505.74197
Führer, Thomas; Heuer, Norbert; Niemi, Antti H.
3
2022
Kernel-independent adaptive construction of \(\mathcal{H}^2\)-matrix approximations. Zbl 1527.65025
Bauer, M.; Bebendorf, M.; Feist, B.
3
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.
3
2022
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations. Zbl 1513.76116
Kučera, Václav; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian; Schütz, Jochen
3
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
3
2022
Continuous data assimilation for displacement in a porous medium. Zbl 1503.65220
Bessaih, H.; Ginting, V.; McCaskill, B.
3
2022
On algebraically stabilized schemes for convection-diffusion-reaction problems. Zbl 1503.65297
John, Volker; Knobloch, Petr
3
2022
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Zbl 1492.65230
Akrivis, Georgios; Makridakis, Charalambos G.
2
2022
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Zbl 1497.65173
Hochbruck, Marlis; Köhler, Jonas
2
2022
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Zbl 1491.65128
Carstensen, C.; Nataraj, Neela; Pani, Amiya K.
2
2022
Time-dependent electromagnetic scattering from thin layers. Zbl 1491.35408
Nick, Jörg; Kovács, Balázs; Lubich, Christian
2
2022
Exact discrete Lagrangian mechanics for nonholonomic mechanics. Zbl 1513.70051
Simoes, Alexandre Anahory; Marrero, Juan Carlos; de Diego, David Martín
2
2022
Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium. Zbl 1493.65140
Marmignon, Claude; Naddei, Fabio; Renac, Florent
2
2022
On numerical approximations to fluid-structure interactions involving compressible fluids. Zbl 1491.35319
Schwarzacher, Sebastian; She, Bangwei
2
2022
Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. Zbl 1487.49007
Peralta, Gilbert; Kunisch, Karl
2
2022
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition. Zbl 1496.65231
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich; Říha, Lubomír
2
2022
Fully computable a posteriori error bounds for eigenfunctions. Zbl 1496.65204
Liu, Xuefeng; Vejchodský, Tomáš
2
2022
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. Zbl 1504.47028
Parzer, Fabian; Scherzer, Otmar
2
2022
Stable generalized finite element method (SGFEM) for three-dimensional crack problems. Zbl 1497.65225
Cui, Cu; Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2
2022
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media. Zbl 1491.65101
Sun, Weiwei
2
2022
A convergence framework for optimal transport on the sphere. Zbl 07549402
Froese Hamfeldt, Brittany; Turnquist, Axel G. R.
2
2022
Rigorous numerics for nonlinear heat equations in the complex plane of time. Zbl 07549404
Takayasu, Akitoshi; Lessard, Jean-Philippe; Jaquette, Jonathan; Okamoto, Hisashi
2
2022
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis. Zbl 1496.65157
Burman, Erik; Durst, Rebecca; Fernández, Miguel A.; Guzmán, Johnny
2
2022
Sensitivity of low-rank matrix recovery. Zbl 1505.65175
Breiding, Paul; Vannieuwenhoven, Nick
2
2022
Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model. Zbl 1502.65101
Huynh, Ngoc Mai Monica
2
2022
Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems. Zbl 1493.65251
Ecevit, Fatih; Boubendir, Yassine; Anand, Akash; Lazergui, Souaad
1
2022
Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints. Zbl 1493.65139
Gaudeul, Benoît; Fuhrmann, Jürgen
1
2022
A convergent finite volume scheme for dissipation driven models with volume filling constraint. Zbl 1493.65138
Cancès, Clément; Zurek, Antoine
1
2022
Rational Gauss quadrature rules for the approximation of matrix functionals involving Stieltjes functions. Zbl 1493.65081
Alahmadi, J.; Pranić, M.; Reichel, L.
1
2022
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates. Zbl 1510.65030
Sande, Espen; Manni, Carla; Speleers, Hendrik
1
2022
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems. Zbl 1492.65241
O’Reilly, Ossian; Nordström, Jan
1
2022
Fortin operator for the Taylor-Hood element. Zbl 1486.65246
Diening, L.; Storn, J.; Tscherpel, T.
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
On the numerical stability of linear barycentric rational interpolation. Zbl 1504.65022
Fuda, Chiara; Campagna, Rosanna; Hormann, Kai
1
2022
Mixed finite elements for Bingham flow in a pipe. 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
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Zbl 1491.65086
Shen, Jie; Xu, Jie
19
2021
A Convergent evolving finite element algorithm for Willmore flow of closed surfaces. Zbl 1496.65165
Kovács, Balázs; Li, Buyang; Lubich, Christian
15
2021
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. Zbl 1481.65174
Li, Buyang; Wu, Yifei
14
2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
14
2021
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Zbl 1459.35392
Harrach, Bastian
13
2021
The \(J\)-method for the Gross-Pitaevskii eigenvalue problem. Zbl 1510.65289
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
13
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
12
2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021
Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C.
11
2021
Dynamical reduced basis methods for Hamiltonian systems. Zbl 1471.65217
Pagliantini, Cecilia
11
2021
Corners and stable optimized domain decomposition methods for the Helmholtz problem. Zbl 1480.35108
Després, B.; Nicolopoulos, A.; Thierry, B.
11
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
10
2021
Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006
Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul
9
2021
Bulk-surface virtual element method for systems of PDEs in two-space dimensions. Zbl 1459.65182
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
9
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
8
2021
Boundary element methods for acoustic scattering by fractal screens. Zbl 1475.65209
Chandler-Wilde, Simon N.; Hewett, David P.; Moiola, Andrea; Besson, Jeanne
8
2021
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120 Gatica, Gabriel N.
115 Zhang, Zhimin
110 Shi, Dongyang
106 Wei, Yimin
102 Chen, Yanping
98 Burman, Erik
95 Stephan, Ernst Peter
91 Rui, Hongxing
90 Petković, Miodrag S.
89 Dehghan Takht Fooladi, Mehdi
88 Serra-Capizzano, Stefano
86 Babuška, Ivo
86 Nochetto, Ricardo Horacio
84 Praetorius, Dirk
84 Wu, Xinyuan
83 Bai, Zhongzhi
82 Harbrecht, Helmut
80 Quarteroni, Alfio M.
78 Evans, David John
77 Brenner, Susanne Cecelia
77 Feng, Xinlong
77 Xu, Jinchao
76 Beirão da Veiga, Lourenço
76 Peña, Juan Manuel
75 Li, Jichun
75 Lubich, Christian
74 Ma, Changfeng
72 Axelsson, Axel Owe Holger
72 Wohlmuth, Barbara I.
71 Hackbusch, Wolfgang
70 Chen, Zhangxin
70 Cockburn, Bernardo
70 Huang, Ting-Zhu
70 Nicaise, Serge
69 Ruiz-Baier, Ricardo
68 Demkowicz, Leszek F.
68 Guo, Ben-Yu
68 Shu, Chi-Wang
67 Gunzburger, Max D.
67 Hughes, Thomas J. R.
67 Larson, Mats G.
67 Li, Jian
67 Sloan, Ian Hugh
66 Brezinski, Claude
66 Hadjidimos, Apostolos
66 Wang, Cheng
66 Xiang, Shuhuang
64 Bernardi, Christine
64 Hansbo, Peter
64 Li, Buyang
64 Wheeler, Mary Fanett
63 Yang, Xiaofeng
62 Ern, Alexandre
62 Mehrmann, Volker
62 Sayas, Francisco-Javier
62 Vohralík, Martin
61 Gander, Martin Jakob
61 Han, Weimin
61 Jackiewicz, Zdzislaw
60 Brezzi, Franco
60 Luo, Zhendong
59 Benner, Peter
59 Zhang, Shangyou
58 Oden, John Tinsley
58 Yang, Yidu
57 Van Barel, Marc
57 Varga, Richard Steven
57 Xu, Da
56 Ainsworth, Mark
56 Hairer, Ernst
56 Hu, Jun
56 Maday, Yvon
56 Manzini, Gianmarco
56 Melenk, Jens Markus
56 Sung, Li-Yeng
55 Hou, Yanren
54 Droniou, Jérôme
54 Heuer, Norbert
54 Shen, Jie
53 Chung, Tsz Shun Eric
53 Hiptmair, Ralf
53 Sauter, Stefan
53 Wang, Wansheng
53 Zhang, Chengjian
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52 He, Xiaoming
52 Kim, Junseok
51 Codina, Ramon
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51 Xie, Xiaoping
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