## Journal of Numerical Mathematics

 Short Title: J. Numer. Math. Publisher: De Gruyter, Berlin ISSN: 1570-2820; 1569-3953/e Online: http://www.degruyter.com/view/j/jnma Predecessor: East-West Journal of Numerical Mathematics Comments: Indexed cover-to-cover
 Documents Indexed: 318 Publications (since 2002) References Indexed: 209 Publications with 5,010 References.
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### Latest Issues

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### Authors

 13 Hoppe, Ronald H. W. 8 Bangerth, Wolfgang 8 Maier, Matthias Sebastian 8 Turcksin, Bruno 7 Heister, Timo 7 Heltai, Luca 7 Kronbichler, Martin 7 Kuznetsov, Yurii Alekseevich 7 Rivière, Beatrice M. 6 Arndt, Daniel 6 Glowinski, Roland 6 Kanschat, Guido 6 Pelteret, Jean-Paul 6 Rannacher, Rolf 6 Repin, Sergeĭ Igorevich 6 Turek, Stefan 5 Girault, Vivette 5 Nicaise, Serge 4 Axelsson, Axel Owe Holger 4 Carstensen, Carsten 4 Davydov, Denis 4 Fehling, Marc 4 Kadalbajoo, Mohan K. 4 Rebholz, Leo G. 4 Schieweck, Friedhelm 4 Suttmeier, Franz-Theo 3 Agouzal, Abdellatif 3 Borzì, Alfio 3 Chen, Hongsen 3 Feistauer, Miloslav 3 Gassmöller, Rene 3 Hackbusch, Wolfgang 3 Hecht, Frédéric 3 Khoromskiĭ, Boris Nikolaevich 3 Langer, Ulrich 3 Munch, Peter 3 Pani, Amiya Kumar 3 Pasciak, Joseph E. 3 Reusken, Arnold 3 Seaïd, Mohammed 3 Steinbach, Olaf 2 Bacuta, Constantin 2 Banda, Mapundi Kondwani 2 Benner, Peter 2 Blais, Bruno 2 Boglaev, Igor P. 2 Bonito, Andrea 2 Bramble, James H. 2 Burman, Erik 2 Caboussat, Alexandre 2 Cappanera, Loïc 2 Chen, Zhangxin 2 Clevenger, Thomas C. 2 Danczul, Tobias 2 Demyanko, Kirill V. 2 Dryja, Maksymilian 2 Eymard, Robert 2 Foss, Frederick J. II 2 Gatica, Gabriel N. 2 Gerardo-Giorda, Luca 2 Herbin, Raphaèle 2 Hinze, Michael 2 Hiptmair, Ralf 2 Hofreither, Clemens 2 Hussain, Malik Zawwar 2 Ikhile, Monday Ndidi Oziegbe 2 Kamont, Zdzisław 2 Knyazev, Andrew V. 2 Kučera, Václav 2 Kumar, Devendra 2 Kuzmin, Dmitri 2 Li, Cuixia 2 Lipnikov, Konstantin N. 2 Lukáčová-Medvid’ová, Mária 2 Meddahi, Salim 2 Meszmer, Peter 2 Moore, Peter K. 2 Nataf, Frédéric 2 Nechepurenko, Yuri M. 2 Neilan, Michael 2 Neittaanmäki, Pekka J. 2 Novati, Paolo 2 Okuonghae, Robert I. 2 Ouazzi, Abderrahim 2 Owolabi, Kolade Matthew 2 Rabus, Hella 2 Şahin, Niyazi 2 Schroder, Andreas 2 She, Bangwei 2 Sobotíková, Veronika 2 Šolín, Pavel 2 Soualem, Nadir 2 Sweilam, Nasser Hassan 2 Vassilevski, Yuri V. 2 Vihharev, Jevgeni 2 Xu, Jinchao 2 Yüzbaşı, Şuayip 2 Zhou, Zhaojie 2 Zikatanov, Ludmil T. 1 Aarnes, Jørg E. ...and 419 more Authors
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### Fields

 295 Numerical analysis (65-XX) 135 Partial differential equations (35-XX) 74 Fluid mechanics (76-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 14 Mechanics of deformable solids (74-XX) 13 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 7 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

247 Publications have been cited 2,653 times in 2,437 Documents Cited by Year
New development in freefem++. Zbl 1266.68090
Hecht, F.
2012
The deal.II library, version 8.4. Zbl 1348.65187
Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David
2016
The deal.II library, version 8.5. Zbl 1375.65148
Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2017
The deal.II library, version 9.0. Zbl 1410.65363
Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2018
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
2012
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035
Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E.
2005
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
2008
The deal.II library, Version 9.1. Zbl 1435.65010
Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2019
Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076
Linß, T.
2004
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
2009
Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099
Pasciak, J. E.; Zhao, J.
2002
Duality-based adaptivity in the $$hp$$-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
2003
$$A$$-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093
Schieweck, F.
2010
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
2015
A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049
Günther, A.; Hinze, M.
2008
Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083
2004
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
2017
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070
Hoppe, R. H. W.; Kieweg, M.
2009
The deal.II library, version 9.2. Zbl 1452.65222
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David
2020
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
2018
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
2011
A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
2002
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038
El-Amrani, M.; Seaid, M.
2007
A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066
Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H.
2006
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
2003
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
2019
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
2009
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
2003
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
2002
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
2013
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
2013
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008
Carstensen, C.; Hoppe, R. H. W.
2005
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
2005
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
2017
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
2007
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
2019
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
2002
Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190
Ciarlet, P. jun.
2013
Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078
Langer, U.; Wolfmayr, M.
2013
Convergence analysis of finite element methods for $$H(\mathrm{div};\Omega )$$-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
2010
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038
Wesenberg, M.
2002
Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076
Banda, M. K.; Seaid, M.
2005
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2020
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana
2017
Distributed optimal control of lambda-omega systems. Zbl 1104.65063
Borzì, A.; Griesse, R.
2006
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
2012
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108
Guzmán, J.
2006
Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039
Annaby, M. H.; Asharabi, R. M.
2008
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147
Xu, X.; Chen, H.; Hoppe, R. H. W.
2010
On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115
Kulkarni, R. P.
2005
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
2012
A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237
Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S.
2014
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
2009
A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133
Tausch, J.
2004
On a discrete Hessian recovery for $$P_1$$ finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
2002
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
2002
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
2005
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
2015
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire
2017
$$L_{2}$$ error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119
Hofreither, C.
2011
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
2008
Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124
Ginting, V.
2004
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
2005
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
2014
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
2017
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
2015
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
2014
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
2009
Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015
Ibragimov, I.; Rjasanow, S.; Straube, K.
2007
Multigrid methods for $$H^{\mathrm{div}}$$-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
2015
Nonconforming spectral/$$hp$$ element methods for elliptic systems. Zbl 1170.65334
Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S.
2009
Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164
Barker, A. T.; Brenner, S. C.; Sung, L.-Y.
2011
Error control in $$h$$- and $$hp$$-adaptive FEM for Signorini’s problem. Zbl 1423.74919
Schröder, A.
2009
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
2018
Modeling rational spline for visualization of shaped data. Zbl 1267.65019
Sarfraz, M.; Hussain, M. Z.; Hussain, M.
2013
A new non-interior continuation method for second-order cone programming. Zbl 1288.65088
Tang, J.; He, G.; Fang, L.
2013
An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. Zbl 1069.65132
Tran, T.; Stephan, E. P.
2004
Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168
2015
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
2012
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092
Hesse, H. K.; Kanschat, G.
2009
Estimating the control error in discretized PDE-constrained optimization. Zbl 1127.65038
Becker, R.
2006
Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form. Zbl 1125.65078
Boglaev, I.
2006
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
2016
Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097
Caffarelli, L. A.; Glowinski, R.
2008
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. Zbl 1029.65124
Droniou, J.
2003
Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094
Chen, H.; Chen, Z.
2003
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
2003
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
2018
Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. Zbl 1099.76520
Turek, S.; Ouazzi, A.; Schmachtel, R.
2002
Solving $$0=F(t,y(t),y'(t))$$ in Matlab. Zbl 1019.65044
Shampine, L. F.
2002
A polynomial chaos approach to stochastic variational inequalities. Zbl 1220.65082
Forster, R.; Kornhuber, R.
2010
Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122
Hoppe, R. H. W.; Wu, H.; Zhang, Z.
2010
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
2012
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
2020
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
2021
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168
2015
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
2022
A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194
Du, Guangzhi; Zuo, Liyun
2021
Collocated finite-volume method for the incompressible Navier-Stokes problem. Zbl 1473.65146
Terekhov, Kirill M.
2021
The deal.II library, Version 9.3. Zbl 1478.65004
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi
2021
A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
Boundary update via resolvent for fluid-structure interaction. Zbl 1476.65164
Bukač, Martina; Trenchea, Catalin
2021
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154
Steinbach, Olaf; Zank, Marco
2021
A reduced basis method for fractional diffusion operators. II. Zbl 1491.65131
Danczul, Tobias; Schöberl, Joachim
2021
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. Zbl 1481.65253
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich
2021
Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142
Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander
2021
A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181
Girault, Vivette; Riviere, Beatrice; Cappanera, Loic
2021
Entropy stabilization and property-preserving limiters for $$\mathbb{P}_1$$ discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228
Kuzmin, Dmitri
2021
Relative error analysis of matrix exponential approximations for numerical integration. Zbl 1473.65052
Maset, Stefano
2021
The deal.II library, version 9.2. Zbl 1452.65222
Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David
2020
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2020
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209
Gatica, Gabriel N.; Meddahi, Salim
2020
Reduced basis approximations of the solutions to spectral fractional diffusion problems. Zbl 1452.65324
Bonito, Andrea; Guignard, Diane; Zhang, Ashley R.
2020
Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336
Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M.
2020
Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239
Layton, William; McLaughlin, Michael
2020
The deal.II library, Version 9.1. Zbl 1435.65010
Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2019
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
2019
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
2019
Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331
Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas
2019
Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. Zbl 1416.65464
Russell, Stephen; Stynes, Martin
2019
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D&rsquo;Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
2019
$$L^2$$-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177
Lehrenfeld, Christoph; Reusken, Arnold
2019
Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas
2019
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
2019
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
2019
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129
Voulis, Igor; Reusken, Arnold
2019
Convergence of explicitly coupled simulation tools (co-simulations). Zbl 07059685
Moshagen, Thilo
2019
A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033
Jerome, Joseph W.
2019
The deal.II library, version 9.0. Zbl 1410.65363
Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2018
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
2018
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
2018
Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats
2018
Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 1470.92253
2018
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424
Sharma, Natasha; Kanschat, Guido
2018
Error estimates for higher-order finite volume schemes for convection-diffusion problems. Zbl 1432.76176
Kröner, Dietmar; Rokyta, Mirko
2018
A note on distributionally robust optimization under moment uncertainty. Zbl 06989836
Liu, Qiang; Wu, Jia; Xiao, Xiantao; Zhang, Liwei
2018
An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces. Zbl 1394.49030
Lorena Avendaño-Garrido, Martha; Gabriel-Argüelles, J. Rigoberto; Quintana, Ligia-Torres; González-Hernández, Juan
2018
The deal.II library, version 8.5. Zbl 1375.65148
Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2017
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
2017
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
2017
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana
2017
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire
2017
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331
Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E.
2017
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
2017
Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term. Zbl 1375.65129
Wu, Shu-Lin
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
2017
Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation. Zbl 1362.65069
Zhang, Bo; Chen, Jixin; Yang, Danping
2017
Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050
He, Xin; Vuik, Cornelis; Klaij, Christiaan
2017
The deal.II library, version 8.4. Zbl 1348.65187
Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David
2016
Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290
Girault, Vivette; Li, Jizhou; Rivière, Beatrice
2016
Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154
Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia
2016
A direct algorithm in some free boundary problems. Zbl 1352.65168
Murea, Cornel M.; Tiba, Dan
2016
Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh. Zbl 1339.65148
2016
Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059
Lukáčová-Medvid&rsquo;ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan
2016
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090
Maier, Matthias; Rannacher, Rolf
2016
Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029
Kovač, Boštjan; Žagar, Emil
2016
Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
2016
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan
2016
Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371
2015
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
2015
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
2015
Multigrid methods for $$H^{\mathrm{div}}$$-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
2015
Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168
2015
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168
2015
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
2015
Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations. Zbl 1328.65272
Hetmaniok, Edyta; Nowak, Iwona; Słota, Damian; Wituła, Roman
2015
A Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2015
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237
Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte
2015
Pythagorean-hodograph cycloidal curves. Zbl 1328.65053
Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito
2015
A relaxed splitting preconditioner for saddle point problems. Zbl 1328.65077
Li, Cui-Xia; Wu, Shi-Liang; Huang, Ai-Qun
2015
A multipoint Birkhoff type boundary value problem. Zbl 1321.65119
Costabile, Francesco A.; Napoli, Anna
2015
Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027
Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz
2015
Quasi-optimal convergence of AFEM based on separate marking. I. Zbl 1330.65162
Rabus, Hella
2015
A nonmonotone inexact smoothing Newton-type method for $$P_{0}$$-NCP based on a parametric complementarity function. Zbl 1328.90099
Fang, Liang; Tang, Jingyong; Hu, Yunhong
2015
Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions. Zbl 1330.76066
Djoko, Jules K.; Mbehou, Mohamed
2015
Unified error bounds for all Newton-Cotes quadrature rules. Zbl 1321.65038
2015
A well-balanced solver for the Saint Venant equations with variable cross-section. Zbl 1319.65085
Borsche, Raul
2015
Quasi-optimal convergence of AFEM based on separate marking. II. Zbl 1330.65163
Rabus, Hella
2015
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237
Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S.
2014
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
2014
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
2014
A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations. Zbl 1303.65095
Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.
2014
A proof of the well posedness of discretized wave equation with an absorbing boundary condition. Zbl 1309.65095
Alonso-Mallo, I.; Portillo, A. M.
2014
Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138
Hoppe, R. H. W.; Liu, Zhuo
2014
Hierarchical quadrature for multidimensional singular integrals. II. Zbl 1294.65035
Meszmer, P.
2014
A posteriori control of modelling and discretization errors for quasi periodic solutions. Zbl 1294.65091
Braack, M.; Taschenberger, N.
2014
Second derivative GLM with nearly ARK stability. Zbl 1294.65077
Okuonghae, R. I.; Ikhile, M. N. O.
2014
Polyhedral Gauß-Seidel converges. Zbl 1310.65072
Gräser, C.; Sander, O.
2014
On the best approximate ($$P,Q$$)-orthogonal symmetric and skew-symmetric solution of the matrix equation $$AXB=C$$. Zbl 1303.65031
Sarduvan, M.; Şimşek, S.; Özdemir, H.
2014
An additive subspace preconditioning method for the iterative solution of some problems with extreme contrasts in coefficients. Zbl 1309.65034
Axelsson, O.
2014
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
2013
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
2013
...and 147 more Documents
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### Cited by 3,329 Authors

 25 Wick, Thomas 24 Shang, Yueqiang 23 Gatica, Gabriel N. 21 Oyarzúa, Ricardo 20 Rebholz, Leo G. 20 Seaïd, Mohammed 19 Allaire, Grégoire 19 Chung, Tsz Shun Eric 19 Kronbichler, Martin 18 Burman, Erik 18 Khoromskiĭ, Boris Nikolaevich 17 Axelsson, Axel Owe Holger 16 He, Yinnian 16 Si, Zhiyong 16 Sinha, Rajen Kumar 16 Vohralík, Martin 15 Repin, Sergeĭ Igorevich 14 Dumbser, Michael 14 El-Amrani, Mofdi 14 Langer, Ulrich 14 Sayah, Toni 13 Guillén González, Francisco M. 13 He, Xiaoming 13 Heltai, Luca 13 Hou, Yanren 13 Jolivet, Pierre 13 Lee, Sanghyun 13 Perotto, Simona 13 Wollner, Winnifried 13 Yotov, Ivan 12 Chacón Rebollo, Tomás 12 Hackbusch, Wolfgang 12 Hecht, Frédéric 12 Nataf, Frédéric 12 Owolabi, Kolade Matthew 12 Zheng, Haibiao 11 Bernardi, Christine 11 Carstensen, Carsten 11 Caucao, Sergio 11 Dapogny, Charles 11 Girault, Vivette 11 Han, Daozhi 11 Huang, Pengzhan 11 Jiang, Yaolin 11 Kaya, Songul 11 Linke, Alexander 11 Wheeler, Mary Fanett 11 Yang, Yunbo 10 An, Rong 10 Borzì, Alfio 10 Çibik, Aytekin Bayram 10 Du, Guangzhi 10 Feistauer, Miloslav 10 Gómez Mármol, Macarena 10 Heister, Timo 10 Hoppe, Ronald H. W. 10 Maday, Yvon 10 Maier, Matthias Sebastian 10 Marquet, Olivier 10 Rubino, Samuele 10 Turek, Stefan 9 Ahmed, Naveed 9 Arndt, Daniel 9 Boglaev, Igor P. 9 Dolejší, Vít 9 Gander, Martin Jakob 9 Glowinski, Roland 9 Kuznetsov, Yurii Alekseevich 9 Layton, William J. 9 Münch, Arnaud 9 Rivière, Beatrice M. 9 Schieweck, Friedhelm 9 Tavelli, Maurizio 9 Tyrtyshnikov, Evgeniĭ Evgen’evich 9 Wall, Wolfgang A. 9 Wang, Xiaoming 9 Zuo, Liyun 8 Annunziato, Mario 8 Assous, Franck 8 Bangerth, Wolfgang 8 Bause, Markus 8 Dolean, Victorita 8 Feng, Xinlong 8 Grigori, Laura 8 Hutzenthaler, Martin 8 Jiang, Nan 8 Matthies, Gunar 8 Mena, Hermann 8 Micheletti, Stefano 8 Olshanskii, Maxim A. 8 Pelteret, Jean-Paul 8 Praetorius, Dirk 8 Steinmann, Paul 8 Tierra, Giordano 8 Turcksin, Bruno 8 Valdman, Jan 8 Yakoubi, Driss 8 Zhu, Shengfeng 7 Asharabi, Rashad M. 7 Bacuta, Constantin ...and 3,229 more Authors
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### Cited in 278 Journals

 140 Computer Methods in Applied Mechanics and Engineering 127 Journal of Computational Physics 125 Journal of Computational and Applied Mathematics 124 Journal of Scientific Computing 120 Computers & Mathematics with Applications 82 Applied Numerical Mathematics 79 Applied Mathematics and Computation 76 Numerische Mathematik 75 SIAM Journal on Scientific Computing 67 Journal of Fluid Mechanics 50 SIAM Journal on Numerical Analysis 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 42 Mathematics of Computation 40 Numerical Algorithms 37 Journal of Numerical Mathematics 35 Computational Methods in Applied Mathematics 34 Numerical Methods for Partial Differential Equations 27 Calcolo 26 Journal of Mathematical Analysis and Applications 24 Computational Optimization and Applications 24 Advances in Computational Mathematics 22 Mathematics and Computers in Simulation 20 Computational and Applied Mathematics 19 Advances in Applied Mathematics and Mechanics 18 Computers and Fluids 17 Inverse Problems 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 International Journal of Computer Mathematics 16 Computational Mechanics 15 BIT 15 International Journal for Numerical Methods in Engineering 15 Multiscale Modeling & Simulation 14 Computational Geosciences 13 Applicable Analysis 13 Applied Mathematical Modelling 12 Computing 12 Numerical Functional Analysis and Optimization 12 Applied Mathematics Letters 12 Applications of Mathematics 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Applied Mathematics and Computing 12 International Journal of Numerical Analysis and Modeling 11 Mathematical Methods in the Applied Sciences 11 SIAM Journal on Applied Mathematics 11 Engineering Analysis with Boundary Elements 10 Communications in Computational Physics 9 Journal of Optimization Theory and Applications 9 SIAM Journal on Control and Optimization 9 SIAM Journal on Matrix Analysis and Applications 9 ETNA. Electronic Transactions on Numerical Analysis 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Discrete and Continuous Dynamical Systems. Series B 9 Inverse Problems in Science and Engineering 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Applied Mathematics and Optimization 8 Linear Algebra and its Applications 8 S$$\vec{\text{e}}$$MA Journal 7 Journal of Mathematical Biology 7 Chaos, Solitons and Fractals 7 Japan Journal of Industrial and Applied Mathematics 7 Numerical Linear Algebra with Applications 7 Mathematical Problems in Engineering 7 Mathematics and Mechanics of Solids 7 Computing and Visualization in Science 7 Communications in Nonlinear Science and Numerical Simulation 6 International Journal for Numerical Methods in Fluids 6 Journal of Differential Equations 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Mathematical Modelling and Analysis 6 International Journal of Computational Methods 6 Advances in Difference Equations 6 Discrete and Continuous Dynamical Systems. Series S 6 SMAI Journal of Computational Mathematics 6 Communications on Applied Mathematics and Computation 5 SIAM Journal on Mathematical Analysis 5 Turkish Journal of Mathematics 5 International Journal of Computational Fluid Dynamics 5 Abstract and Applied Analysis 5 European Journal of Mechanics. B. Fluids 5 Journal of Applied Mathematics 5 Acta Numerica 5 Boundary Value Problems 5 Inverse Problems and Imaging 5 Mathematical Control and Related Fields 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Chinese Annals of Mathematics. Series B 4 Journal of Computational Mathematics 4 Journal of Integral Equations and Applications 4 Computational Mathematics and Mathematical Physics 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Sciences (New York) 4 Journal of Difference Equations and Applications 4 Journal of Mathematical Fluid Mechanics 4 Optimization and Engineering 4 Foundations of Computational Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications on Pure and Applied Analysis 4 Mathematical Modelling of Natural Phenomena 4 SIAM Journal on Imaging Sciences 4 GEM - International Journal on Geomathematics ...and 178 more Journals
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### Cited in 45 Fields

 1,849 Numerical analysis (65-XX) 958 Partial differential equations (35-XX) 795 Fluid mechanics (76-XX) 322 Mechanics of deformable solids (74-XX) 277 Calculus of variations and optimal control; optimization (49-XX) 106 Optics, electromagnetic theory (78-XX) 101 Biology and other natural sciences (92-XX) 65 Ordinary differential equations (34-XX) 62 Operations research, mathematical programming (90-XX) 53 Integral equations (45-XX) 53 Classical thermodynamics, heat transfer (80-XX) 53 Systems theory; control (93-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 42 Computer science (68-XX) 37 Operator theory (47-XX) 37 Probability theory and stochastic processes (60-XX) 37 Geophysics (86-XX) 36 Statistical mechanics, structure of matter (82-XX) 32 Real functions (26-XX) 30 Approximations and expansions (41-XX) 22 Statistics (62-XX) 21 Functional analysis (46-XX) 17 Information and communication theory, circuits (94-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Quantum theory (81-XX) 7 Special functions (33-XX) 6 Differential geometry (53-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX)