# zbMATH — the first resource for mathematics

## 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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#### Latest Issues

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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)

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Adaptive finite element methods with convergence rates. Zbl 1063.65120
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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
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A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080
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New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
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Mixed finite elements for elasticity. Zbl 1090.74051
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2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
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2001
A posteriori error estimators for the Stokes equations. Zbl 0674.65092
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Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
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Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123
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Singular value decomposition and least squares solutions. Zbl 0181.17602
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A family of mixed finite elements for the elasticity problem. Zbl 0632.73063
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Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
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1987
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072
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Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
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1966
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
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Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides. Zbl 0133.08603
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A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
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1964
A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086
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2001
Numerical methods for solving linear least squares problems. Zbl 0142.11502
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1965
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
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1984
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
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1979
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903
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1961
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
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2005
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
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1979
A family of root finding methods. Zbl 0361.65041
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1977
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1977
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
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Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403
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Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Zbl 0159.20904
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A geometric model for active contours in image processing. Zbl 0804.68159
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1993
The defect correction principle and discretization methods. Zbl 0362.65052
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1978
Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030
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1977
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
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1989
Alternating direction methods for three space variables. Zbl 0104.35001
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Positive operators and an inertia theorem. Zbl 0158.28003
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1965
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
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2000
Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010
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2005
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
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1999
Some estimates for $$h$$-$$p$$-$$k$$-refinement in isogeometric analysis. Zbl 1222.41010
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2011
On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation. Zbl 0739.65096
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On the finite element method. Zbl 0176.16001
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1968
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
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1992
Circular arithmetic and the determination of polynomial zeros. Zbl 0228.65038
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Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204
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1964
On the rate of convergence of the preconditioned conjugate gradient method. Zbl 0564.65017
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1986
An algorithm for evolutionary surfaces. Zbl 0714.65092
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1991
Norms and exclusion theorems. Zbl 0101.25503
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Condition numbers and equilibration of matrices. Zbl 0182.48906
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1969
The rate of convergence of conjugate gradients. Zbl 0596.65015
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1986
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
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1965
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Zbl 1143.76531
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2002
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
2003
Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen. Zbl 0202.43605
Kerner, I. O.
1966
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
1971
Unconditionally stable methods for second order differential equations. Zbl 0393.65035
Hairer, E.
1979
High dimensional integration of smooth functions over cubes. Zbl 0883.65016
Novak, Erich; Ritter, Klaus
1996
Some generalizations of positive definiteness and monotonicity. Zbl 0148.25801
Fiedler, Miroslav; Pták, Vlastimil
1966
$$H$$-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
1992
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047
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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
2006
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
2001
On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Zbl 0795.65063
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1994
The hierarchical basis multigrid method. Zbl 0645.65074
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1988
Some equilibrium finite element methods for two-dimensional elasticity problems. Zbl 0427.73072
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1978
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
1972
Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. Zbl 1459.35312
Lemoine, Jérôme; Münch, Arnaud
2021
Convergence rates for the numerical approximation of the 2D stochastic Navier-Stokes equations. Zbl 07333542
Breit, Dominic; Dodgson, Alan
2021
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility. Zbl 07368942
Halla, Martin
2021
Numerical analysis for iterative filtering with new efficient implementations based on FFT. Zbl 07317373
Cicone, Antonio; Zhou, Haomin
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
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
Optimal operator preconditioning for pseudodifferential boundary problems. Zbl 07368931
Gimperlein, Heiko; Stocek, Jakub; Urzúa-Torres, Carolina
2021
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations. Zbl 1435.35385
Dujardin, Guillaume; Hérau, Frédéric; Lafitte, Pauline
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
2020
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field. Zbl 1432.78013
Hairer, Ernst; Lubich, Christian
2020
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations. Zbl 1442.35459
Hu, Jingwei; Huang, Xiaodong
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
2020
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
2020
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 07184250
Sande, Espen; Manni, Carla; Speleers, Hendrik
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
2020
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. Zbl 1433.49048
Winkler, Max
2020
A fast approach to optimal transport: the back-and-forth method. Zbl 1451.65078
Jacobs, Matt; Léger, Flavien
2020
Numerical quadrature in the Brillouin zone for periodic Schrödinger operators. Zbl 07178535
Cancès, Éric; Ehrlacher, Virginie; Gontier, David; Levitt, Antoine; Lombardi, Damiano
2020
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Zbl 1434.65312
Hairer, Ernst; Lubich, Christian; Wang, Bin
2020
General relaxation methods for initial-value problems with application to multistep schemes. Zbl 1456.65051
Ranocha, Hendrik; Lóczi, Lajos; Ketcheson, David I.
2020
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Zbl 1440.65192
Chen, Hongtao; Mao, Jingjing; Shen, Jie
2020
Fast QR iterations for unitary plus low rank matrices. Zbl 07153072
Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca
2020
A finite volume scheme for the Euler system inspired by the two velocities approach. Zbl 1435.65137
Feireisl, Eduard; Lukáčová-Medvid&rsquo;Ová, Mária; Mizerová, Hana
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
2020
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
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
2020
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. Zbl 1443.74223
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier
2020
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
2020
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
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
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
2020
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. Zbl 1455.65204
Gedicke, Joscha; Khan, Arbaz
2020
Numerical solution of a bending-torsion model for elastic rods. Zbl 1456.65153
Bartels, Sören; Reiter, Philipp
2020
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 07206576
Xiang, Shuhuang; Liu, Guidong
2020
The Steklov eigenvalue problem in a cuspidal domain. Zbl 1433.65265
Armentano, María G.; Lombardi, Ariel L.
2020
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results. Zbl 1434.82099
Blanc, X.; Cancès, E.; Dupuy, M.-S.
2020
Convergence of Lie group integrators. Zbl 1431.65121
Curry, Charles; Schmeding, Alexander
2020
A mass-lumped mixed finite element method for acoustic wave propagation. Zbl 1450.65120
2020
What makes nonholonomic integrators work? Zbl 1447.37068
Modin, Klas; Verdier, Olivier
2020
Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem. Zbl 1453.65404
Christof, Constantin; Haubner, Christof
2020
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
2020
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
2020
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
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
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
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.
2020
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
2020
Efficient algorithms for solving the $$p$$-Laplacian in polynomial time. Zbl 1458.65151
Loisel, Sébastien
2020
A variational finite volume scheme for Wasserstein gradient flows. Zbl 1452.49019
Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele
2020
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152
Nie, Daxin; Sun, Jing; Deng, Weihua
2020
On efficient weighted integration via a change of variables. Zbl 1451.65020
Kritzer, P.; Pillichshammer, F.; Plaskota, L.; Wasilkowski, G. W.
2020
A priori error estimates of regularized elliptic problems. Zbl 1451.65192
Heltai, Luca; Lei, Wenyu
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
2020
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Zbl 1436.65122
Giesselmann, Jan; LeFloch, Philippe G.
2020
An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming
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
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&rsquo;ichi
2020
The multiscale hybrid mixed method in general polygonal meshes. Zbl 1440.65177
Barrenechea, Gabriel R.; Jaillet, Fabrice; Paredes, Diego; Valentin, Frédéric
2020
Numerical approximation of the integral fractional Laplacian. Zbl 1414.65032
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
2019
Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides. Zbl 1412.65187
Hagstrom, Thomas; Kim, Seungil
2019
Efficient high order algorithms for fractional integrals and fractional differential equations. Zbl 1408.65102
Banjai, L.; López-Fernández, M.
2019
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm. Zbl 1411.76147
Benamou, Jean-David; Carlier, Guillaume; Nenna, Luca
2019
Approximation in FEM, DG and IGA: a theoretical comparison. Zbl 1428.41009
Bressan, Andrea; Sande, Espen
2019
Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Zbl 1412.65233
Führer, Thomas; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan
2019
Regularization of inverse problems by two-point gradient methods in Banach spaces. Zbl 07127290
Zhong, Min; Wang, Wei; Jin, Qinian
2019
Correcting for unknown errors in sparse high-dimensional function approximation. Zbl 1415.65030
Adcock, Ben; Bao, Anyi; Brugiapaglia, Simone
2019
Bouligand-Landweber iteration for a non-smooth ill-posed problem. Zbl 1418.49023
Clason, Christian; Nhu, Vu Huu
2019
Rational approximations to fractional powers of self-adjoint positive operators. Zbl 07088062
Aceto, Lidia; Novati, Paolo
2019
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
2019
On the infinite-dimensional QR algorithm. Zbl 07088063
Colbrook, Matthew J.; Hansen, Anders C.
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
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
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
2019
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 1453.65027
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2019
Regularized numerical methods for the logarithmic Schrödinger equation. Zbl 07114287
Bao, Weizhu; Carles, Rémi; Su, Chunmei; Tang, Qinglin
2019
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Zbl 1427.65250
Kovács, Balázs; Li, Buyang; Lubich, Christian
2019
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão da Veiga, L.; Manzini, G.; Mascotto, L.
2019
Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Zbl 1407.65263
Nochetto, Ricardo H.; Zhang, Wujun
2019
Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253
Gallouët, Thierry; Maltese, David; Novotny, Antonin
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.
2019
Spectral Galerkin methods for transfer operators in uniformly expanding dynamics. Zbl 1421.37034
Wormell, Caroline
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
2019
Error estimates for a finite difference scheme associated with Hamilton-Jacobi equations on a junction. Zbl 1419.65020
Guerand, Jessica; Koumaiha, Marwa
2019
Total roto-translational variation. Zbl 1418.53004
Chambolle, Antonin; Pock, Thomas
2019
Variational convergence of discrete minimal surfaces. Zbl 1408.49039
Schumacher, Henrik; Wardetzky, Max
2019
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Zbl 1412.65211
Gong, Shihua; Wu, Shuonan; Xu, Jinchao
2019
Some examples of kinetic schemes whose diffusion limit is Il’in’s exponential-fitting. Zbl 1414.65007
Gosse, Laurent; Vauchelet, Nicolas
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
2019
Construction of $$H({\operatorname{div}})$$-conforming mixed finite elements on cuboidal hexahedra. Zbl 1414.65031
Arbogast, Todd; Tao, Zhen
2019
Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D. Zbl 1414.65044
Eikeland, Erik; Marcinkowski, Leszek; Rahman, Talal
2019
Smoothing for signals with discontinuities using higher order Mumford-Shah models. Zbl 07114286
Storath, Martin; Kiefer, Lukas; Weinmann, Andreas
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
2019
Higher order convergence rates for Bregman iterated variational regularization of inverse problems. Zbl 07006668
Sprung, Benjamin; Hohage, Thorsten
2019
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
2019
Lattice rules in non-periodic subspaces of Sobolev spaces. Zbl 1415.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito
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
2019
Greedy optimal control for elliptic problems and its application to turnpike problems. Zbl 1408.49018
Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique
2019
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Zbl 1455.65031
Nouy, Anthony
2019
General multilevel adaptations for stochastic approximation algorithms of Robbins-Monro and Polyak-Ruppert type. Zbl 1464.62366
Dereich, Steffen; Müller-Gronbach, Thomas
2019
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#### Cited by 35,393 Authors

 145 Argyros, Ioannis Konstantinos 126 Simos, Theodore E. 120 Carstensen, Carsten 120 He, Yinnian 116 Reichel, Lothar 106 Gatica, Gabriel N. 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 ...and 35,293 more Authors
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 30,713 Numerical analysis (65-XX) 10,677 Partial differential equations (35-XX) 5,716 Fluid mechanics (76-XX) 3,724 Operations research, mathematical programming (90-XX) 3,330 Mechanics of deformable solids (74-XX) 2,933 Approximations and expansions (41-XX) 2,892 Ordinary differential equations (34-XX) 2,551 Linear and multilinear algebra; matrix theory (15-XX) 2,467 Calculus of variations and optimal control; optimization (49-XX) 1,806 Computer science (68-XX) 1,428 Operator theory (47-XX) 1,292 Integral equations (45-XX) 1,222 Optics, electromagnetic theory (78-XX) 1,164 Probability theory and stochastic processes (60-XX) 1,152 Statistics (62-XX) 949 Systems theory; control (93-XX) 881 Biology and other natural sciences (92-XX) 780 Information and communication theory, circuits (94-XX) 757 Dynamical systems and ergodic theory (37-XX) 739 Functions of a complex variable (30-XX) 728 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 672 Harmonic analysis on Euclidean spaces (42-XX) 642 Statistical mechanics, structure of matter (82-XX) 503 Classical thermodynamics, heat transfer (80-XX) 489 Combinatorics (05-XX) 450 Real functions (26-XX) 427 Functional analysis (46-XX) 418 Special functions (33-XX) 362 Mechanics of particles and systems (70-XX) 339 Quantum theory (81-XX) 334 Geophysics (86-XX) 286 Number theory (11-XX) 216 Integral transforms, operational calculus (44-XX) 214 Global analysis, analysis on manifolds (58-XX) 208 Field theory and polynomials (12-XX) 201 Difference and functional equations (39-XX) 176 Differential geometry (53-XX) 156 Potential theory (31-XX) 145 Sequences, series, summability (40-XX) 115 Convex and discrete geometry (52-XX) 96 Commutative algebra (13-XX) 93 Algebraic geometry (14-XX) 79 Measure and integration (28-XX) 76 Group theory and generalizations (20-XX) 74 History and biography (01-XX) 48 General topology (54-XX) 46 Mathematical logic and foundations (03-XX) 46 Astronomy and astrophysics (85-XX) 44 General and overarching topics; collections (00-XX) 38 Associative rings and algebras (16-XX) 32 Geometry (51-XX) 27 Algebraic topology (55-XX) 25 Topological groups, Lie groups (22-XX) 25 Relativity and gravitational theory (83-XX) 24 Several complex variables and analytic spaces (32-XX) 23 Manifolds and cell complexes (57-XX) 20 Nonassociative rings and algebras (17-XX) 20 Abstract harmonic analysis (43-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 14 Mathematics education (97-XX) 7 Category theory; homological algebra (18-XX) 4 General algebraic systems (08-XX) 3 $$K$$-theory (19-XX) 1 (73-XX)