## Numerische Mathematik

 Short Title: Numer. Math. Publisher: Springer, Berlin/Heidelberg ISSN: 0029-599X; 0945-3245/e Online: https://link.springer.com/journal/211/volumes-and-issueshttp://link.springer.com/journal/volumesAndIssues/211 Comments: Indexed cover-to-cover
 Documents Indexed: 4,775 Publications (since 1959) References Indexed: 3,870 Publications with 77,060 References.
all top 5

### Latest Issues

 152, No. 1 (2022) 151, No. 4 (2022) 151, No. 3 (2022) 151, No. 2 (2022) 151, No. 1 (2022) 150, No. 4 (2022) 150, No. 3 (2022) 150, No. 2 (2022) 150, No. 1 (2022) 149, No. 4 (2021) 149, No. 3 (2021) 149, No. 2 (2021) 149, No. 1 (2021) 148, No. 4 (2021) 148, No. 3 (2021) 148, No. 2 (2021) 148, No. 1 (2021) 147, No. 4 (2021) 147, No. 3 (2021) 147, No. 2 (2021) 147, No. 1 (2021) 146, No. 4 (2020) 146, No. 3 (2020) 146, No. 2 (2020) 146, No. 1 (2020) 145, No. 4 (2020) 145, No. 3 (2020) 145, No. 2 (2020) 145, No. 1 (2020) 144, No. 4 (2020) 144, No. 3 (2020) 144, No. 2 (2020) 144, No. 1 (2020) 143, No. 4 (2019) 143, No. 3 (2019) 143, No. 2 (2019) 143, No. 1 (2019) 142, No. 4 (2019) 142, No. 3 (2019) 142, No. 2 (2019) 142, No. 1 (2019) 141, No. 4 (2019) 141, No. 3 (2019) 141, No. 2 (2019) 141, No. 1 (2019) 140, No. 4 (2018) 140, No. 3 (2018) 140, No. 2 (2018) 140, No. 1 (2018) 139, No. 4 (2018) 139, No. 3 (2018) 139, No. 2 (2018) 139, No. 1 (2018) 138, No. 4 (2018) 138, No. 3 (2018) 138, No. 2 (2018) 138, No. 1 (2018) 137, No. 4 (2017) 137, No. 3 (2017) 137, No. 2 (2017) 137, No. 1 (2017) 136, No. 4 (2017) 136, No. 3 (2017) 136, No. 2 (2017) 136, No. 1 (2017) 135, No. 4 (2017) 135, No. 3 (2017) 135, No. 2 (2017) 135, No. 1 (2017) 134, No. 4 (2016) 134, No. 3 (2016) 134, No. 2 (2016) 134, No. 1 (2016) 133, No. 4 (2016) 133, No. 3 (2016) 133, No. 2 (2016) 133, No. 1 (2016) 132, No. 4 (2016) 132, No. 3 (2016) 132, No. 2 (2016) 132, No. 1 (2016) 131, No. 4 (2015) 131, No. 3 (2015) 131, No. 2 (2015) 131, No. 1 (2015) 130, No. 4 (2015) 130, No. 3 (2015) 130, No. 2 (2015) 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
all top 5

### 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
all top 5

### 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)

### 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
1980
Partitioning procedures for solving mixed-variables programming problems. Zbl 0109.38302
Benders, J. F.
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
1979
The finite element method with Lagrangian multipliers. Zbl 0258.65108
Babuška, Ivo
1973
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
1985
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
2000
An analysis of a mixed finite element method for the Navier-Stokes equations. Zbl 0396.65070
Girault, V.; Raviart, P. A.
1979
Gaussian elimination is not optimal. Zbl 0185.40101
Strassen, V.
1969
Image recovery via total variation minimization and related problems. Zbl 0874.68299
Chambolle, Antonin; Lions, Pierre-Louis
1997
A new family of mixed finite elements in $${\mathbb{R}}^ 3$$. Zbl 0625.65107
Nédélec, J. C.
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
2004
Error-bounds for finite element method. Zbl 0214.42001
Babuška, Ivo
1971
Convolution quadrature and discretized operational calculus. I. Zbl 0637.65016
Lubich, C.
1988
A method for numerical integration on an automatic computer. Zbl 0093.14006
Clenshaw, C. W.; Curtis, A. R.
1960
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100
Pironneau, O.
1982
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Zbl 0090.34505
Halton, J. H.
1960
QMR: A quasi-minimal residual method for non-Hermitian linear systems. Zbl 0754.65034
Freund, Roland W.; Nachtigal, Noël M.
1991
Finite element methods and their convergence for elliptic and parabolic interface problems. Zbl 0909.65085
Chen, Zhiming; Zou, Jun
1998
On generalized successive overrelaxation methods for augmented linear systems. Zbl 1083.65034
Bai, Zhong-Zhi; Parlett, Beresford N.; Wang, Zeng-Qi
2005
A penalization method to take into account obstacles in incompressible viscous flows. Zbl 0921.76168
Angot, Philippe; Bruneau, Charles-Henri; Fabrie, Pierre
1999
Stabilization of Cowell’s method. Zbl 0219.65062
Stiefel, E.; Bettis, D. G.
1969
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
1961
On the finite volume element method. Zbl 0731.65093
Cai, Zhiqiang
1991
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
2003
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
1995
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case. Zbl 1063.65080
Godlewski, E.; Raviart, P.-A.
2004
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
2001
Approximation of boundary element matrices. Zbl 0966.65094
Bebendorf, Mario
2000
On the multi-level splitting of finite element spaces. Zbl 0608.65065
Yserentant, Harry
1986
Mixed finite elements for elasticity. Zbl 1090.74051
Arnold, Douglas N.; Winther, Ragnar
2002
The mortar finite element method with Lagrange multipliers. Zbl 0944.65114
Ben Belgacem, Faker
1999
On the fast matrix multiplication in the boundary element method by panel clustering. Zbl 0641.65038
Hackbusch, W.; Nowak, Z. P.
1989
Smoothing by spline functions. Zbl 0161.36203
Reinsch, Christian H.
1967
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
1980
Convolution quadrature and discretized operational calculus. II. Zbl 0643.65094
Lubich, C.
1988
Chebyshevian multistep methods for ordinary differential equations. Zbl 0221.65123
Lyche, Tom
1972
A unified approach to a posteriori error estimation using element residual methods. Zbl 0797.65080
Ainsworth, Mark; Oden, J. Tinsley
1993
A posteriori error estimators for the Stokes equations. Zbl 0674.65092
Verfürth, R.
1989
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
1970
A family of mixed finite elements for the elasticity problem. Zbl 0632.73063
Stenberg, Rolf
1988
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
1987
A stable and conservative finite difference scheme for the Cahn-Hilliard equation. Zbl 0974.65086
Furihata, Daisuke
2001
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Zbl 0254.65072
Gordon, William J.; Hall, Charles A.
1973
Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming. Zbl 1068.65073
Dai, Yu-Hong; Fletcher, Roger
2005
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
1988
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
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.
1964
Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058
Bercovier, M.; Pironneau, O.
1979
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
1966
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
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.
1984
A geometric model for active contours in image processing. Zbl 0804.68159
Caselles, Vicent; Catté, Francine; Coll, Tomeu; Dibos, Françoise
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.
1961
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
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.
1991
A family of root finding methods. Zbl 0361.65041
Hansen, Eldon; Patrick, Merrell
1977
Direct and inverse error estimates for finite elements with mesh refinements. Zbl 0423.65057
Babuška, Ivo; Kellogg, R. B.; Pitkäranta, J.
1979
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
2003
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
1989
Newton’s method for convex programming and Tschebyscheff approximation. Zbl 0113.10703
Cheney, E. W.; Goldstein, A. A.
1959
Runge-Kutta methods in optimal control and the transformed adjoint system. Zbl 0991.49020
Hager, William W.
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.
1967
The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024
Manteuffel, Thomas A.
1977
The defect correction principle and discretization methods. Zbl 0362.65052
Stetter, Hans J.
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.
1977
Alternating direction methods for three space variables. Zbl 0104.35001
Douglas, Jim jun.
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.
1968
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
1999
Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010
Higham, Desmond J.; Kloeden, Peter. E.
2005
Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy. Zbl 0762.65074
Copetti, M. I. M.; Elliott, C. M.
1992
An algorithm for evolutionary surfaces. Zbl 0714.65092
Dziuk, G.
1991
A general extrapolation algorithm. Zbl 0444.65001
Brezinski, C.
1980
Positive operators and an inertia theorem. Zbl 0158.28003
Schneider, H.
1965
On the finite element method. Zbl 0176.16001
Zlámal, Miloš
1968
Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements. Zbl 1019.78009
Costabel, Martin; Dauge, Monique
2002
Norms and exclusion theorems. Zbl 0101.25503
Bauer, F. L.; Fike, C. T.
1960
$$H$$-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
1992
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
1965
Condition numbers and equilibration of matrices. Zbl 0182.48906
van der Sluis, A.
1969
Some estimates for $$h$$-$$p$$-$$k$$-refinement in isogeometric analysis. Zbl 1222.41010
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G.
2011
Accurate partial difference methods. II: Non-linear problems. Zbl 0143.38204
Strang, G.
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
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.
2002
Multilevel preconditioning. Zbl 0757.65031
Dahmen, Wolfgang; Kunoth, Angela
1992
On the rate of convergence of the preconditioned conjugate gradient method. Zbl 0564.65017
Axelsson, Owe; Lindskog, Gunhild
1986
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
2001
Circular arithmetic and the determination of polynomial zeros. Zbl 0228.65038
Gargantini, Irene; Henrici, Peter
1972
High dimensional integration of smooth functions over cubes. Zbl 0883.65016
Novak, Erich; Ritter, Klaus
1996
Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405
Bramble, J. H.; Hilbert, S. R.
1971
Pricing early-exercise and discrete barrier options by Fourier-cosine series expansions. Zbl 1185.91176
Fang, F.; Oosterlee, C. W.
2009
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
1986
Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen. Zbl 0202.43605
Kerner, I. O.
1966
Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations. Zbl 0637.76024
Süli, Endre
1988
Direct solution of partial difference equations by tensor product methods. Zbl 0126.12703
Lynch, Robert E.; Rice, John R.; Thomas, Donald H.
1964
A collocation method for boundary value problems. Zbl 0221.65129
Russell, R. D.; Shampine, L. F.
1972
Unconditionally stable methods for second order differential equations. Zbl 0393.65035
Hairer, E.
1979
Barycentric rational interpolation with no poles and high rates of approximation. Zbl 1221.41002
Floater, Michael S.; Hormann, Kai
2007
Mixed finite element methods for stationary incompressible magneto-hydrodynamics. Zbl 1098.76043
Schötzau, Dominik
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
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.
2022
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. Zbl 07493698
Burman, Erik; Frei, Stefan; Massing, Andre
2022
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique
2022
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems. Zbl 07493700
Helin, Tapio; Kretschmann, Remo
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.
2022
Kernel-independent adaptive construction of $$\mathcal{H}^2$$-matrix approximations. Zbl 07459674
Bauer, M.; Bebendorf, M.; Feist, B.
2022
A sharp relative-error bound for the Helmholtz $$h$$-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
2022
A reduced basis method for fractional diffusion operators. I. Zbl 07536676
Danczul, Tobias; Schöberl, Joachim
2022
Robust treatment of cross-points in optimized Schwarz methods. Zbl 07536677
Claeys, Xavier; Parolin, Emile
2022
Error estimates for deep learning methods in fluid dynamics. Zbl 07549406
Biswas, A.; Tian, J.; Ulusoy, S.
2022
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Zbl 1459.35392
Harrach, Bastian
2021
Convergence and error estimates for time-discrete consensus-based optimization algorithms. Zbl 1467.65064
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Zbl 1491.65086
Shen, Jie; Xu, Jie
2021
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. Zbl 1481.65174
Li, Buyang; Wu, Yifei
2021
Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. Zbl 1459.35312
Lemoine, Jérôme; Münch, Arnaud
2021
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility. Zbl 07368942
Halla, Martin
2021
A Convergent evolving finite element algorithm for Willmore flow of closed surfaces. Zbl 07459671
Kovács, Balázs; Li, Buyang; Lubich, Christian
2021
The $$J$$-method for the Gross-Pitaevskii eigenvalue problem. Zbl 07387429
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
2021
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
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
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021
Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C.
2021
Convergence rates for the numerical approximation of the 2D stochastic Navier-Stokes equations. Zbl 1468.65136
Breit, Dominic; Dodgson, Alan
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
2021
Dynamical reduced basis methods for Hamiltonian systems. Zbl 1471.65217
Pagliantini, Cecilia
2021
Corners and stable optimized domain decomposition methods for the Helmholtz problem. Zbl 1480.35108
Després, B.; Nicolopoulos, A.; Thierry, B.
2021
Domain decomposition for entropy regularized optimal transport. Zbl 1484.65134
Bonafini, Mauro; Schmitzer, Bernhard
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.
2021
Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006
Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul
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
2021
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Zbl 1478.65111
Bartels, Sören; Wang, Zhangxian
2021
Preconditioning high order $$H^2$$ conforming finite elements on triangles. Zbl 1472.65138
Ainsworth, Mark; Parker, Charles
2021
On the method of reflections. Zbl 1478.65140
Laurent, Philippe; Legendre, Guillaume; Salomon, Julien
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.
2021
Numerical analysis for iterative filtering with new efficient implementations based on FFT. Zbl 1469.65181
Cicone, Antonio; Zhou, Haomin
2021
Bulk-surface virtual element method for systems of PDEs in two-space dimensions. Zbl 1459.65182
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
2021
How much faster does the best polynomial approximation converge than Legendre projection? Zbl 1475.41007
Wang, Haiyong
2021
Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133
Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas
2021
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography. Zbl 1468.65178
Garde, Henrik; Hyvönen, Nuutti
2021
Boundary element methods for acoustic scattering by fractal screens. Zbl 1475.65209
Chandler-Wilde, Simon N.; Hewett, David P.; Moiola, Andrea; Besson, Jeanne
2021
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations. Zbl 1465.65100
Liu, Hailiang
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
2021
Correction to: “Stable and convergent fully discrete interior-exterior coupling of Maxwell’s equations”. Zbl 1467.35308
Nick, Jörg; Kovács, Balázs; Lubich, Christian
2021
Optimal operator preconditioning for pseudodifferential boundary problems. Zbl 1477.65214
Gimperlein, Heiko; Stocek, Jakub; Urzúa-Torres, Carolina
2021
Functions of rational Krylov space matrices and their decay properties. Zbl 1470.65081
Pozza, Stefano; Simoncini, Valeria
2021
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit. Zbl 1469.65015
Løvbak, Emil; Samaey, Giovanni; Vandewalle, Stefan
2021
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.
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.
2021
Maximal spaces for approximation rates in $$\ell^1$$-regularization. Zbl 07437235
Miller, Philip; Hohage, Thorsten
2021
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
2021
Corrected trapezoidal rules for boundary integral equations in three dimensions. Zbl 1477.65272
Wu, Bowei; Martinsson, Per-Gunnar
2021
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. Zbl 1483.35269
Filbet, Francis; Rodrigues, L. Miguel; Zakerzadeh, Hamed
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
2021
AS++ T-splines: arbitrary degree, nestedness and approximation. Zbl 1479.41009
Li, Xiliang; Li, Xin
2021
Fiber product homotopy method for multiparameter eigenvalue problems. Zbl 1473.65061
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng
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.
2021
Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. Zbl 1477.35273
Chen, Qingshan; Ju, Lili; Temam, Roger
2021
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 07418777
Nabet, Flore
2021
On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Zbl 1467.65091
Melenk, Jens Markus; Rieder, Alexander
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
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
2021
A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations. Zbl 1442.35459
Hu, Jingwei; Huang, Xiaodong
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
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field. Zbl 1434.65312
Hairer, Ernst; Lubich, Christian; Wang, Bin
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
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
A relaxed Kačanov iteration for the $$p$$-Poisson problem. Zbl 1442.65362
Diening, L.; Fornasier, M.; Tomasi, R.; Wank, M.
2020
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations. Zbl 1435.35385
Dujardin, Guillaume; Hérau, Frédéric; Lafitte, Pauline
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
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026
Sande, Espen; Manni, Carla; Speleers, Hendrik
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
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
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution. Zbl 1453.65124
Harrach, Bastian; Jahn, Tim; Potthast, Roland
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 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
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
A fast approach to optimal transport: the back-and-forth method. Zbl 1451.65078
Jacobs, Matt; Léger, Flavien
2020
General relaxation methods for initial-value problems with application to multistep schemes. Zbl 1456.65051
Ranocha, Hendrik; Lóczi, Lajos; Ketcheson, David I.
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
Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. Zbl 1455.65204
Gedicke, Joscha; Khan, Arbaz
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.
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 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
Numerical quadrature in the Brillouin zone for periodic Schrödinger operators. Zbl 07178535
Cancès, Éric; Ehrlacher, Virginie; Gontier, David; Levitt, Antoine; Lombardi, Damiano
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
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations. Zbl 1453.35084
Berman, Robert J.
2020
A variational finite volume scheme for Wasserstein gradient flows. Zbl 1452.49019
Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele
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
2020
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 07206576
Xiang, Shuhuang; Liu, Guidong
2020
The multiscale hybrid mixed method in general polygonal meshes. Zbl 1440.65177
Barrenechea, Gabriel R.; Jaillet, Fabrice; Paredes, Diego; Valentin, Frédéric
2020
What makes nonholonomic integrators work? Zbl 1447.37068
Modin, Klas; Verdier, Olivier
2020
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
2020
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
2020
Fast QR iterations for unitary plus low rank matrices. Zbl 07153072
Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca
2020
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results. Zbl 1434.82099
Blanc, X.; Cancès, E.; Dupuy, M.-S.
2020
Exponential convergence in $$H^1$$ of hp-FEM for Gevrey regularity with isotropic singularities. Zbl 1433.65290
Feischl, M.; Schwab, Ch.
2020
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
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
...and 1732 more Documents
all top 5

### Cited by 38,707 Authors

 146 Argyros, Ioannis Konstantinos 138 Simos, Theodore E. 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 ...and 38,607 more Authors
all top 5

### Cited in 1,068 Journals

 3,295 Journal of Computational and Applied Mathematics 2,674 Numerische Mathematik 1,957 Computer Methods in Applied Mechanics and Engineering 1,850 Journal of Computational Physics 1,822 Applied Mathematics and Computation 1,637 Computers & Mathematics with Applications 1,493 Applied Numerical Mathematics 1,405 Mathematics of Computation 1,353 Linear Algebra and its Applications 1,234 Journal of Scientific Computing 889 Numerical Algorithms 745 SIAM Journal on Scientific Computing 720 BIT 698 International Journal of Computer Mathematics 689 Computing 610 SIAM Journal on Numerical Analysis 582 Journal of Mathematical Analysis and Applications 477 Journal of Approximation Theory 427 Advances in Computational Mathematics 424 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 383 Numerical Functional Analysis and Optimization 383 Numerical Methods for Partial Differential Equations 375 Calcolo 351 European Journal of Operational Research 344 Journal of Optimization Theory and Applications 338 International Journal for Numerical Methods in Engineering 306 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 283 Applied Mathematics Letters 280 Engineering Analysis with Boundary Elements 273 Computers and Fluids 270 Numerical Linear Algebra with Applications 265 Mathematics and Computers in Simulation 232 SIAM Journal on Matrix Analysis and Applications 216 Computational Optimization and Applications 214 Mathematical Programming. Series A. Series B 204 Journal of Complexity 200 Computational and Applied Mathematics 198 Applicable Analysis 192 Computers & Operations Research 192 Computational Mechanics 192 Applied Mathematical Modelling 183 Mathematical Methods in the Applied Sciences 163 Mathematical Problems in Engineering 161 BIT. Nordisk Tidskrift for Informationsbehandling 158 RAIRO. Modélisation Mathématique et Analyse Numérique 157 Comptes Rendus. Mathématique. Académie des Sciences, Paris 156 Computational Methods in Applied Mathematics 152 Mathematical and Computer Modelling 148 Communications in Computational Physics 146 Linear and Multilinear Algebra 145 Japan Journal of Industrial and Applied Mathematics 142 Journal of Mathematical Chemistry 140 Journal of Differential Equations 140 Computational Geosciences 137 Foundations of Computational Mathematics 135 Inverse Problems 134 Advances in Applied Mathematics and Mechanics 133 Computer Aided Geometric Design 131 Applications of Mathematics 131 Optimization Methods & Software 129 Journal of Integral Equations and Applications 129 Journal of Applied Mathematics and Computing 124 Optimization 123 International Journal for Numerical Methods in Fluids 123 Annals of Operations Research 123 Communications in Nonlinear Science and Numerical Simulation 120 Journal of Mathematical Imaging and Vision 119 Constructive Approximation 119 Applied and Computational Harmonic Analysis 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 118 Theoretical Computer Science 116 Archive for Rational Mechanics and Analysis 116 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 108 Abstract and Applied Analysis 106 Mathematical Programming 106 Journal of Global Optimization 106 Science China. Mathematics 105 Computer Physics Communications 104 Multiscale Modeling & Simulation 102 Automatica 98 ZAMP. Zeitschrift für angewandte Mathematik und Physik 98 Aplikace Matematiky 97 Journal of Numerical Mathematics 93 SIAM/ASA Journal on Uncertainty Quantification 91 Journal of Symbolic Computation 91 ETNA. Electronic Transactions on Numerical Analysis 90 SIAM Journal on Imaging Sciences 89 SIAM Journal on Optimization 87 Applied Mathematics and Mechanics. (English Edition) 86 Communications in Numerical Methods in Engineering 84 Journal of Fluid Mechanics 84 SIAM Journal on Mathematical Analysis 84 Discrete and Continuous Dynamical Systems. Series B 83 Journal of Inverse and Ill-Posed Problems 83 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 82 Physica D 82 Advances in Difference Equations 81 Journal of Mathematical Physics 81 Computational Statistics and Data Analysis 78 International Journal of Numerical Analysis and Modeling ...and 968 more Journals
all top 5

### Cited in 63 Fields

 33,753 Numerical analysis (65-XX) 12,003 Partial differential equations (35-XX) 6,545 Fluid mechanics (76-XX) 4,048 Operations research, mathematical programming (90-XX) 3,612 Mechanics of deformable solids (74-XX) 3,092 Approximations and expansions (41-XX) 3,002 Ordinary differential equations (34-XX) 2,783 Linear and multilinear algebra; matrix theory (15-XX) 2,743 Calculus of variations and optimal control; optimization (49-XX) 2,069 Computer science (68-XX) 1,556 Operator theory (47-XX) 1,406 Integral equations (45-XX) 1,376 Optics, electromagnetic theory (78-XX) 1,326 Probability theory and stochastic processes (60-XX) 1,321 Statistics (62-XX) 1,044 Systems theory; control (93-XX) 1,009 Biology and other natural sciences (92-XX) 887 Information and communication theory, circuits (94-XX) 827 Dynamical systems and ergodic theory (37-XX) 816 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 761 Functions of a complex variable (30-XX) 733 Statistical mechanics, structure of matter (82-XX) 726 Harmonic analysis on Euclidean spaces (42-XX) 546 Real functions (26-XX) 540 Combinatorics (05-XX) 538 Classical thermodynamics, heat transfer (80-XX) 468 Functional analysis (46-XX) 451 Special functions (33-XX) 400 Mechanics of particles and systems (70-XX) 398 Quantum theory (81-XX) 374 Geophysics (86-XX) 305 Number theory (11-XX) 251 Global analysis, analysis on manifolds (58-XX) 234 Integral transforms, operational calculus (44-XX) 218 Difference and functional equations (39-XX) 210 Field theory and polynomials (12-XX) 207 Differential geometry (53-XX) 174 Potential theory (31-XX) 147 Sequences, series, summability (40-XX) 122 Convex and discrete geometry (52-XX) 109 Algebraic geometry (14-XX) 104 Commutative algebra (13-XX) 89 Measure and integration (28-XX) 80 Group theory and generalizations (20-XX) 75 History and biography (01-XX) 57 General topology (54-XX) 53 General and overarching topics; collections (00-XX) 53 Astronomy and astrophysics (85-XX) 48 Mathematical logic and foundations (03-XX) 39 Associative rings and algebras (16-XX) 35 Geometry (51-XX) 34 Relativity and gravitational theory (83-XX) 28 Topological groups, Lie groups (22-XX) 27 Algebraic topology (55-XX) 25 Nonassociative rings and algebras (17-XX) 25 Manifolds and cell complexes (57-XX) 24 Several complex variables and analytic spaces (32-XX) 21 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)