# zbMATH — the first resource for mathematics

## 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: 298 Publications (since 2002) References Indexed: 189 Publications with 4,208 References.
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#### Latest Issues

 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 3-4 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 10, No. 4 (2002) 10, No. 3 (2002) 10, No. 2 (2002) 10, No. 1 (2002)
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#### Authors

 13 Hoppe, Ronald H. W. 7 Kuznetsov, Yurii Alekseevich 6 Bangerth, Wolfgang 6 Glowinski, Roland 6 Kanschat, Guido 6 Maier, Matthias Sebastian 6 Rannacher, Rolf 6 Repin, Sergeĭ Igorevich 6 Rivière, Beatrice M. 6 Turcksin, Bruno 5 Heister, Timo 5 Heltai, Luca 5 Kronbichler, Martin 5 Nicaise, Serge 4 Arndt, Daniel 4 Axelsson, Axel Owe Holger 4 Carstensen, Carsten 4 Davydov, Denis 4 Kadalbajoo, Mohan K. 4 Pelteret, Jean-Paul 4 Schieweck, Friedhelm 4 Suttmeier, Franz-Theo 4 Turek, Stefan 3 Agouzal, Abdellatif 3 Chen, Hongsen 3 Feistauer, Miloslav 3 Girault, Vivette 3 Hackbusch, Wolfgang 3 Langer, Ulrich 3 Pasciak, Joseph E. 3 Rebholz, Leo G. 3 Seaïd, Mohammed 3 Steinbach, Olaf 2 Bacuta, Constantin 2 Banda, Mapundi Kondwani 2 Benner, Peter 2 Boglaev, Igor P. 2 Bonito, Andrea 2 Borzì, Alfio 2 Bramble, James H. 2 Caboussat, Alexandre 2 Chen, Zhangxin 2 Clevenger, Thomas C. 2 Demyanko, Kirill V. 2 Dryja, Maksymilian 2 Eymard, Robert 2 Fehling, Marc 2 Foss, F. J. II. 2 Gatica, Gabriel N. 2 Gerardo-Giorda, Luca 2 Hecht, Frédéric 2 Herbin, Raphaèle 2 Hinze, Michael 2 Hiptmair, Ralf 2 Hussain, Malik Zawwar 2 Ikhile, Monday Ndidi Oziegbe 2 Kamont, Zdzisław 2 Kučera, Václav 2 Kumar, Devendra 2 Li, Cuixia 2 Lipnikov, Konstantin N. 2 Lukáčová-Medvid’ová, Mária 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 Pani, Amiya Kumar 2 Rabus, Hella 2 Reusken, Arnold 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. 1 Abdi, Ali 1 Achchab, A. 1 Alonso-Mallo, Isaías 1 Alzetta, Giovanni 1 Amani, Sanaz 1 An, Rong 1 Angelova, Ivanka Tr. 1 Annaby, Mahmoud H. 1 Antil, Harbir 1 Anton, François 1 Apel, Thomas ...and 380 more Authors
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#### Fields

 275 Numerical analysis (65-XX) 124 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 13 Mechanics of deformable solids (74-XX) 13 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 6 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-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) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

221 Publications have been cited 2,111 times in 1,950 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
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035
Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E.
2005
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
2012
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010
Çeşmelioğlu, A.; Rivière, B.
2008
The deal.II library, version 9.0. 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
Duality-based adaptivity in the $$hp$$-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
2003
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
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
Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076
Linß, T.
2004
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
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
$$A$$-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 second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077
Roos, H.-G.; Zarin, H.
2002
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
2018
The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943
Of, G.; Steinbach, O.
2009
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
2002
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
2011
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
2017
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
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
2003
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
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
2002
Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076
Banda, M. K.; Seaid, M.
2005
Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114
Kuznetsov, Yu.; Repin, S.
2005
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
2003
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151
Schroeder, Philipp W.; Lube, Gert
2017
Convergence analysis of finite element methods for $$H(\mathrm{div};\Omega )$$-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
2010
Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038
Wesenberg, M.
2002
Distributed optimal control of lambda-omega systems. Zbl 1104.65063
Borzì, A.; Griesse, R.
2006
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
2007
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 and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038
El-Amrani, M.; Seaid, M.
2007
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
2013
Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039
Annaby, M. H.; Asharabi, R. M.
2008
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor
2019
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101
Girault, V.; Kanschat, G.; Rivière, B.
2014
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
2012
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
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 variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133
Tausch, J.
2004
A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E.
2005
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
2005
Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108
Guzmán, J.
2006
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138
Eymard, R.; Gallouët, T.; Herbin, R.
2009
On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110
Proinov, Petko D.; Ivanov, Stoil I.
2015
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
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
Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054
Repin, S.; Valdman, J.
2008
Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545
Dauge, M.; Suri, M.
2002
On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 07089643
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
2019
Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124
Ginting, V.
2004
$$L_{2}$$ error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119
Hofreither, C.
2011
Angles between subspaces and their tangents. Zbl 1286.65052
Zhu, Peizhen; Knyazev, A. V.
2013
On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115
Kulkarni, R. P.
2005
On a discrete Hessian recovery for $$P_1$$ finite elements. Zbl 1010.65009
Agouzal, A.; Vassilevski, Yu.
2002
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
2012
Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015
Ibragimov, I.; Rjasanow, S.; Straube, K.
2007
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
2009
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
2014
Error control in $$h$$- and $$hp$$-adaptive FEM for Signorini’s problem. Zbl 1423.74919
Schröder, A.
2009
Modeling rational spline for visualization of shaped data. Zbl 1267.65019
Sarfraz, M.; Hussain, M. Z.; Hussain, M.
2013
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
Perturbed second derivative multistep methods. Zbl 1327.65131
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali
2015
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279
Gu, Z.; Chen, Y.
2014
Nonconforming spectral/$$hp$$ element methods for elliptic systems. Zbl 1170.65334
Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S.
2009
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
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
Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094
Chen, H.; Chen, Z.
2003
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
Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092
Hesse, H. K.; Kanschat, G.
2009
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
2012
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
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. Zbl 1029.65124
Droniou, J.
2003
A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. Zbl 1156.65095
Cho, D.; Zikatanov, L.
2007
A new non-interior continuation method for second-order cone programming. Zbl 1288.65088
Tang, J.; He, G.; Fang, L.
2013
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
2003
A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111
Chou, S. H.; Huang, J.
2003
Moving meshes with freefem$$++$$. Zbl 1426.76243
Decoene, A.; Maury, B.
2012
Approximations with piece-wise constant fluxes for diffusion equations. Zbl 1241.65100
Kuznetsov, Yu. A.
2011
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168
2015
Multigrid methods for $$H^{\mathrm{div}}$$-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071
Kanschat, Guido; Mao, Youli
2015
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
$$L^{\infty } (L^{2})$$-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes. Zbl 1171.65064
Feistauer, M.; Dolejší, V.; Kučera, V.; Sobotíková, V.
2009
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
A combined spectral element/finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1004.65099
Hoppe, R. H. W.; Nash, E. M.
2002
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
2018
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
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
2018
Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144
Neilan, Michael
2017
On a direct approach to adaptive FE-discretisations for elliptic variational inequalities. Zbl 1060.65611
Suttmeier, F. T.
2005
Penalty finite element approximations of the stationary power-law Stokes problem. Zbl 1072.76039
Lefton, L.; Wei, D.
2003
A note on the efficient evaluation of a modified Hilbert transformation. Zbl 07347665
Steinbach, Olaf; Zank, Marco
2021
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
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 07347658
Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
2020
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 07347659
Gatica, Gabriel N.; Meddahi, Salim
2020
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
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 07089643
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.
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
Dual weighted residual error estimation for the finite cell method. Zbl 07089647
Stolfo, Paolo Di; Rademacher, Andreas; Schröder, Andreas
2019
Adapted explicit two-step peer methods. Zbl 07089644
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
POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G.
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
A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033
Jerome, Joseph W.
2019
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129
Voulis, Igor; Reusken, Arnold
2019
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
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
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders
2018
Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108
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
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424
Sharma, Natasha; Kanschat, Guido
2018
Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 06899099
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
Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147
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
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 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
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
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
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
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
A direct algorithm in some free boundary problems. Zbl 1352.65168
Murea, Cornel M.; Tiba, Dan
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
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
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan
2016
Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029
Kovač, Boštjan; Žagar, Emil
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 estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060
Apel, Thomas; Steinbach, Olaf; Winkler, Max
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
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168
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
Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228
Yousept, Irwin
2015
A Newton-like method for computing deflating subspaces. Zbl 1328.65086
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
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
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
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
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
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
A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072
Zhou, Z. J.; Yan, N. N.
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 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
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
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
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
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
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
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
Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. Zbl 1282.65144
Kuznetsov, Yu. A.; Repin, S. I.
2013
A class of hybrid linear multistep methods with $$A(\alpha)$$-stability properties for stiff IVPs in ODEs. Zbl 1282.65084
Okuonghae, R. I.; Ikhile, M. N. O.
2013
A parameter uniform method for singularly perturbed differential-difference equations with small shifts. Zbl 1270.65038
2013
Mixed spherical harmonic-generalized Laguerre spectral method for the Navier-Stokes equations. Zbl 1426.76516
Zhang, X.-Y.
2013
New development in freefem++. Zbl 1266.68090
Hecht, F.
2012
A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065
Chung, Eric; Lee, C. S.
2012
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075
Dolbeault, J.; Esteban, M. J.
2012
Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083
Gong, W.; Hinze, M.; Zhou, Z. J.
2012
On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078
Yüzbaşi, Ş.; Şahin, N.
2012
Moving meshes with freefem$$++$$. Zbl 1426.76243
Decoene, A.; Maury, B.
2012
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud&rsquo;Homme, C.; Spillane, N.
2012
Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127
Dalal, D.; Hecht, F.; Pironneau, O.
2012
Numerical approximations for singularly perturbed differential-difference BVPs with layer and oscillatory behavior. Zbl 1259.65107
2012
Solution of 2D Boussinesq systems with freefem$$++$$: the flat bottom case. Zbl 1426.76301
2012
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. Zbl 1247.78051
Carstensen, C.; Praetorius, D.
2012
Fictitious domain method to model a movable rigid body in a sound wave. Zbl 1426.76271
Imbert, D.; McNamara, S.
2012
A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings. Zbl 1426.76323
Zhang, Y.; Danaila, I.
2012
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
2011
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#### Cited by 2,743 Authors

 21 Gatica, Gabriel N. 19 Rebholz, Leo G. 18 Chung, Tsz Shun Eric 18 Oyarzúa, Ricardo 17 Shang, Yueqiang 17 Wick, Thomas 16 Khoromskij, Boris N. 15 Burman, Erik 15 Repin, Sergeĭ Igorevich 15 Seaïd, Mohammed 15 Vohralík, Martin 14 Allaire, Grégoire 13 Axelsson, Axel Owe Holger 13 Dumbser, Michael 13 Lee, Sanghyun 12 Guillén González, Francisco M. 12 Hackbusch, Wolfgang 12 Kronbichler, Martin 12 Langer, Ulrich 11 Carstensen, Carsten 11 He, Xiaoming 11 Hou, Yanren 11 Nataf, Frédéric 11 Owolabi, Kolade Matthew 11 Wheeler, Mary Fanett 10 Bernardi, Christine 10 Dapogny, Charles 10 Feistauer, Miloslav 10 Hecht, Frédéric 10 Hoppe, Ronald H. W. 10 Linke, Alexander 10 Maday, Yvon 10 Perotto, Simona 10 Sinha, Rajen Kumar 10 Wollner, Winnifried 10 Yang, Yun-Bo 10 Yotov, Ivan 10 Zheng, Haibiao 9 Boglaev, Igor P. 9 Chacón Rebollo, Tomás 9 Dolejší, Vít 9 El-Amrani, Mofdi 9 Gander, Martin Jakob 9 Gómez Mármol, Macarena 9 Han, Daozhi 9 Heltai, Luca 9 Jiang, Yaolin 9 Jolivet, Pierre 9 Rubino, Samuele 9 Sayah, Toni 9 Schieweck, Friedhelm 9 Si, Zhiyong 9 Tyrtyshnikov, Evgeniĭ Evgen’evich 9 Wang, Xiaoming 8 Ahmed, Naveed 8 Borzì, Alfio 8 Çibik, Aytekin Bayram 8 Dolean, Victorita 8 Glowinski, Roland 8 Grigori, Laura 8 He, Yinnian 8 Heister, Timo 8 Kaya, Songul 8 Kuznetsov, Yurii Alekseevich 8 Layton, William J. 8 Matthies, Gunar 8 Mena, Hermann 8 Münch, Arnaud 8 Tavelli, Maurizio 8 Turek, Stefan 8 Valdman, Jan 7 An, Rong 7 Arndt, Daniel 7 Bacuta, Constantin 7 Bause, Markus 7 Caucao, Sergio 7 Girault, Vivette 7 Jiang, Nan 7 Kim, Hyea Hyun 7 Le Borne, Sabine 7 Lipnikov, Konstantin N. 7 Maier, Matthias Sebastian 7 Marquet, Olivier 7 Micheletti, Stefano 7 Pironneau, Olivier 7 Praetorius, Dirk 7 Rodríguez Galván, José Rafael 7 Schroder, Andreas 7 Wall, Wolfgang A. 7 Xiao, Jinyou 6 Annunziato, Mario 6 Bangerth, Wolfgang 6 Bhrawy, Ali Hassan 6 Brenner, Susanne Cecelia 6 Bukač, Martina 6 Chen, Yanping 6 Choo, Jinhyun 6 Colmenares, Eligio 6 Davydov, Denis 6 Dolbeault, Jean ...and 2,643 more Authors
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#### Cited in 237 Journals

 112 Journal of Computational and Applied Mathematics 109 Computer Methods in Applied Mechanics and Engineering 102 Journal of Computational Physics 101 Journal of Scientific Computing 97 Computers & Mathematics with Applications 74 Applied Numerical Mathematics 69 Numerische Mathematik 66 SIAM Journal on Scientific Computing 63 Applied Mathematics and Computation 47 Journal of Fluid Mechanics 44 SIAM Journal on Numerical Analysis 40 Mathematics of Computation 37 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Numerical Methods for Partial Differential Equations 31 Numerical Algorithms 29 Journal of Numerical Mathematics 23 Computational Optimization and Applications 22 Journal of Mathematical Analysis and Applications 22 Calcolo 22 Computational Methods in Applied Mathematics 19 Advances in Computational Mathematics 17 Mathematics and Computers in Simulation 16 Computers and Fluids 16 Inverse Problems 15 BIT 15 International Journal for Numerical Methods in Engineering 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Computational Mechanics 13 Computational Geosciences 12 Computing 12 Numerical Functional Analysis and Optimization 12 Computational and Applied Mathematics 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Mathematical Methods in the Applied Sciences 11 Applications of Mathematics 11 Applied Mathematical Modelling 10 Engineering Analysis with Boundary Elements 10 Multiscale Modeling & Simulation 9 SIAM Journal on Control and Optimization 9 International Journal of Computer Mathematics 9 SIAM Journal on Applied Mathematics 9 Journal of Applied Mathematics and Computing 8 Applicable Analysis 8 ETNA. Electronic Transactions on Numerical Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 S$$\vec{\text{e}}$$MA Journal 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Optimization Theory and Applications 7 SIAM Journal on Matrix Analysis and Applications 7 Japan Journal of Industrial and Applied Mathematics 7 Linear Algebra and its Applications 7 Numerical Linear Algebra with Applications 7 Russian Journal of Numerical Analysis and Mathematical Modelling 7 Mathematical Problems in Engineering 7 Computing and Visualization in Science 6 International Journal for Numerical Methods in Fluids 6 Inverse Problems in Science and Engineering 5 Applied Mathematics and Optimization 5 Journal of Differential Equations 5 Mathematics and Mechanics of Solids 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Acta Numerica 5 Advances in Difference Equations 5 Boundary Value Problems 5 Inverse Problems and Imaging 5 Discrete and Continuous Dynamical Systems. Series S 5 SMAI Journal of Computational Mathematics 4 Journal of Mathematical Biology 4 Chaos, Solitons and Fractals 4 Chinese Annals of Mathematics. Series B 4 Applied Mathematics Letters 4 Journal of Integral Equations and Applications 4 SIAM Journal on Mathematical Analysis 4 Journal of Mathematical Sciences (New York) 4 Turkish Journal of Mathematics 4 Abstract and Applied Analysis 4 European Journal of Mechanics. B. Fluids 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Applied Mathematics 4 Communications on Pure and Applied Analysis 4 International Journal of Computational Methods 4 International Journal of Numerical Analysis and Modeling 4 Mathematical Modelling of Natural Phenomena 4 GEM - International Journal on Geomathematics 4 Mathematical Control and Related Fields 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 4 Results in Applied Mathematics 3 Acta Mechanica 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Engineering Mathematics 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Calculus of Variations and Partial Differential Equations 3 Complexity 3 Optimization Methods & Software 3 Journal of Inequalities and Applications 3 Chaos 3 Journal of Mathematical Fluid Mechanics 3 Mathematical Modelling and Analysis 3 Archives of Computational Methods in Engineering ...and 137 more Journals
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#### Cited in 44 Fields

 1,494 Numerical analysis (65-XX) 786 Partial differential equations (35-XX) 594 Fluid mechanics (76-XX) 257 Mechanics of deformable solids (74-XX) 235 Calculus of variations and optimal control; optimization (49-XX) 84 Optics, electromagnetic theory (78-XX) 81 Biology and other natural sciences (92-XX) 55 Ordinary differential equations (34-XX) 48 Operations research, mathematical programming (90-XX) 42 Integral equations (45-XX) 41 Classical thermodynamics, heat transfer (80-XX) 41 Systems theory; control (93-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 33 Operator theory (47-XX) 32 Computer science (68-XX) 29 Probability theory and stochastic processes (60-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Geophysics (86-XX) 24 Approximations and expansions (41-XX) 19 Real functions (26-XX) 16 Functional analysis (46-XX) 15 Statistics (62-XX) 15 Information and communication theory, circuits (94-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Quantum theory (81-XX) 6 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 Field theory and polynomials (12-XX) 4 Integral transforms, operational calculus (44-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)