# zbMATH — the first resource for mathematics

## Computational Methods in Applied Mathematics

 Short Title: Comput. Methods Appl. Math. Publisher: De Gruyter, Berlin ISSN: 1609-4840; 1609-9389/e Online: http://www.degruyter.com/view/j/cmam Comments: Indexed cover-to-cover
 Documents Indexed: 627 Publications (since 2001) References Indexed: 207 Publications with 6,079 References.
all top 5

#### Latest Issues

 20, No. 4 (2020) 20, No. 3 (2020) 20, No. 2 (2020) 20, No. 1 (2020) 19, No. 4 (2019) 19, No. 3 (2019) 19, No. 2 (2019) 19, No. 1 (2019) 18, No. 4 (2018) 18, No. 3 (2018) 18, No. 2 (2018) 18, No. 1 (2018) 17, No. 4 (2017) 17, No. 3 (2017) 17, No. 2 (2017) 17, No. 1 (2017) 16, No. 4 (2016) 16, No. 3 (2016) 16, No. 2 (2016) 16, No. 1 (2016) 15, No. 4 (2015) 15, No. 3 (2015) 15, No. 2 (2015) 15, No. 1 (2015) 14, No. 4 (2014) 14, No. 3 (2014) 14, No. 2 (2014) 14, No. 1 (2014) 13, No. 4 (2013) 13, No. 3 (2013) 13, No. 2 (2013) 13, No. 1 (2013) 12, No. 4 (2012) 12, No. 3 (2012) 12, No. 2 (2012) 12, No. 1 (2012) 11, No. 4 (2011) 11, No. 3 (2011) 11, No. 2 (2011) 11, No. 1 (2011) 10, No. 4 (2010) 10, No. 3 (2010) 10, No. 2 (2010) 10, No. 1 (2010) 9, No. 4 (2009) 9, No. 3 (2009) 9, No. 2 (2009) 9, No. 1 (2009) 8, No. 4 (2008) 8, No. 3 (2008) 8, No. 2 (2008) 8, No. 1 (2008) 7, No. 4 (2007) 7, No. 3 (2007) 7, No. 2 (2007) 7, No. 1 (2007) 6, No. 4 (2006) 6, No. 3 (2006) 6, No. 2 (2006) 6, No. 1 (2006) 5, No. 4 (2005) 5, No. 3 (2005) 5, No. 2 (2005) 5, No. 1 (2005) 4, No. 4 (2004) 4, No. 3 (2004) 4, No. 2 (2004) 4, No. 1 (2004) 3, No. 4 (2003) 3, No. 3 (2003) 3, No. 2 (2003) 3, No. 1 (2003) 2, No. 4 (2002) 2, No. 3 (2002) 2, No. 2 (2002) 2, No. 1 (2002) 1, No. 4 (2001) 1, No. 3 (2001) 1, No. 2 (2001) 1, No. 1 (2001)
all top 5

#### Authors

 22 Makarov, Volodymyr Leonidovych 21 Matus, Pëtr Paŭlavich 20 Gavrilyuk, Ivan P. 15 Vabishchevich, Pëtr Nikolaevich 12 Khoromskij, Boris N. 12 Shishkin, Grigoriĭ Ivanovich 11 Jovanović, Boško S. 10 Repin, Sergeĭ Igorevich 8 Čiegis, Raimondas 8 Emmrich, Etienne 7 Carstensen, Carsten 7 Hemker, Pieter W. 7 Lazarov, Raytcho D. 7 Stynes, Martin 7 Thomée, Vidar 6 Gudi, Thirupathi 6 Hoppe, Ronald H. W. 6 Langer, Ulrich 6 Nicaise, Serge 5 Brenner, Susanne Cecelia 5 Ern, Alexandre 5 Führer, Thomas 5 Gaspar, Francisco José 5 Khoromskaia, Venera 5 Lapin, Aleksandr Vasil’evich 5 O’Riordan, Eugene 5 Oseledets, Ivan V. 5 Roos, Hans-Görg 5 Shishkina, Lidia P. 5 Vassilevski, Panayot Spirov 5 Zlotnik, Alexander A. 4 Bertrand, Fleurianne 4 Chuiko, Mikhail 4 Demkowicz, Leszek F. 4 Di Pietro, Daniele Antonio 4 Dond, Asha K. 4 Eigel, Martin 4 Ford, Neville J. 4 Gulin, Alexei V. 4 Hermann, Martin 4 Lazurchak, I. I. 4 Lemeshevskiǐ, S. V. 4 Linß, Torsten 4 Lisbona Cortés, Francisco Javier 4 Sarkis, Marcus V. 4 Seaïd, Mohammed 4 Shahmorad, Sedaghat 4 Xenophontos, Christos A. 3 Assous, Franck 3 Braack, Malte 3 Delić, Aleksandra 3 Dörfler, Willibald 3 Droniou, Jérôme 3 Dryja, Maksymilian 3 Eymard, Robert 3 George, Santhosh 3 Glowinski, Roland 3 Gracia, José Luis 3 Grigorieff, Rolf Dieter 3 Harju, Markus 3 Herty, Michael Matthias 3 Heuer, Norbert 3 Huang, Zhongyi 3 Iliev, Oleg P. 3 Jiang, Nan 3 Jovanovich, B. S. 3 Karkulik, Michael 3 Korneev, Vadim Glebovich 3 Kraus, Johannes K. 3 Kutniv, Myroslav V. 3 Lapinska-Chrzczonowicz, Magdalena 3 Mahale, Pallavi 3 Morozova, Valentina A. 3 Nataraj, Neela 3 Pasciak, Joseph E. 3 Pereverzev, Sergei V. 3 Praetorius, Dirk 3 Rababah, Abedallah 3 Raymond, Jean-Pierre 3 Rebholz, Leo G. 3 Sauter, Stefan A. 3 Schneider, Reinhold 3 Steinberg, Stanly L. 3 Stephan, Ernst Peter 3 Stevenson, Rob P. 3 Vasylyk, Vitaliĭ Borysovych 3 Vulkov, Lubin G. 3 Wieners, Christian 3 Xie, Xiaoping 3 Xu, Xuejun 3 Yan, Yubin 3 Zhang, Shuo 2 Aghili, Joubine 2 Agoshkov, Valeriĭ Ivanovich 2 Agouzal, Abdellatif 2 Alikhanov, Anatoly A. 2 Angermann, Lutz 2 Anjam, Immanuel 2 Antonietti, Paola Francesca 2 Bandyrskii, B. I. ...and 781 more Authors
all top 5

#### Fields

 574 Numerical analysis (65-XX) 246 Partial differential equations (35-XX) 86 Fluid mechanics (76-XX) 68 Ordinary differential equations (34-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 38 Mechanics of deformable solids (74-XX) 33 Integral equations (45-XX) 31 Operator theory (47-XX) 19 Approximations and expansions (41-XX) 17 Probability theory and stochastic processes (60-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Optics, electromagnetic theory (78-XX) 11 General and overarching topics; collections (00-XX) 9 Functional analysis (46-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Geophysics (86-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Computer science (68-XX) 4 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

444 Publications have been cited 2,588 times in 2,133 Documents Cited by Year
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2014
Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. Zbl 1086.65107
Bahriawati, C.; Carstensen, C.
2005
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps. Zbl 1284.65050
Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole
2012
On discontinuous Galerkin methods for elliptic problems with discontinuous coefficients. Zbl 1039.65079
Dryja, Maksymilian
2003
Efficient implementation of adaptive P1-FEM in Matlab. Zbl 1284.65197
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp
2011
A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1048.65100
Mozolevski, Igor; Süli, Endre
2003
Structured rank-$$(r_1, \dots , r_d)$$ decomposition of function-related tensors in $$\mathbb R^d$$. Zbl 1120.65052
Khoromskij, B. N.
2006
The SDFEM for a convection-diffusion problem with two small parameters. Zbl 1034.65064
Roos, Hans-Görg; Uzelac, Zorica
2003
Space-time finite element methods for parabolic problems. Zbl 1329.65229
Steinbach, Olaf
2015
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs. Zbl 1283.65039
Khoromskij, B. N.; Oseledets, I.
2010
Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators. Zbl 1283.65102
Semenova, E. V.
2010
Numerical solutions of fuzzy differential equations by Taylor method. Zbl 1019.34061
Abbasband, S.; Viranloo, Allah
2002
$$D$$-gap functions for a class of equilibrium problems in Banach spaces. Zbl 1051.47046
Konnov, I. V.; Pinyagina, O. V.
2003
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053
Bangerth, W.; Geiger, Michael; Rannacher, R.
2010
Singularly perturbed problems modeling reaction-convection-diffusion processes. Zbl 1040.65067
O’Riordan, Eugene; Pickett, Maria L.; Shishkin, Grigorii I.
2003
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2013
Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. Zbl 1283.65025
Kressner, Daniel; Tobler, Christine
2011
DMRG approach to fast linear algebra in the TT-format. Zbl 1283.15041
Oseledets, Ivan
2011
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
A Fourier pseudospectral method for solving coupled viscous Burgers equation. Zbl 1183.35245
Rashid, Abdur; Ismail, Ahmad Izani Bin Md.
2009
Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Zbl 1285.65070
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk
2013
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
Robust numerical upscaling of elliptic multiscale problems at high contrast. Zbl 1348.65169
Peterseim, Daniel; Scheichl, Robert
2016
Superconvergence postprocessing for eigenvalues. Zbl 1012.65113
Racheva, M. R.; Andreev, A. B.
2002
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. Zbl 1169.65046
Emmrich, E.
2009
Numerical solution of systems of singularly perturbed differential equations. Zbl 1193.65189
Linss, T.; Stynes, M.
2009
Efficient preconditioners for large scale binary Cahn-Hilliard models. Zbl 1284.65047
Boyanova, Petia; Do-Quang, Minh; Neytcheva, Maya
2012
A Schwarz preconditioner for a hybridized mixed method. Zbl 1039.65081
2003
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O’Riordan, Eugene; Stynes, Martin
2018
Computational comparison of surface metrics for PDE constrained shape optimization. Zbl 1342.49065
Schulz, Volker; Siebenborn, Martin
2016
Robust approximation of singularly perturbed delay differential equations by the $$hp$$ finite element method. Zbl 1284.65090
Nicaise, Serge; Xenophontos, Christos
2013
Space mapping and defect correction. Zbl 1071.65086
Echeverría, D.; Hemker, P. W.
2005
On a nonlocal boundary value problem for two dimensional elliptic equation. Zbl 1046.65084
Berikelashvili, Givi
2003
Transformation of Chebyshev-Bernstein polynomial basis. Zbl 1046.41005
Rababah, Abedallah
2003
Construction of scalar and vector finite element families on polygonal and polyhedral meshes. Zbl 1348.65163
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit
2016
Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
2015
An introduction to hierarchical ($$\mathcal H$$-) rank and TT-rank of tensors with examples. Zbl 1283.15075
Grasedyck, Lars; Hackbusch, Wolfgang
2011
The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156
Lashuk, Ilya V.; Vassilevski, Panayot S.
2014
Jacobi-Bernstein basis transformation. Zbl 1071.41006
Rababah, Abedallah
2004
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Zbl 1360.65234
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian
2016
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Analysis of model variance for ensemble based turbulence modeling. Zbl 1311.76033
Jiang, Nan; Kaya, Songul; Layton, William
2015
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173
Ford, Neville J.; Pal, Kamal; Yan, Yubin
2015
Exponentially convergent parallel discretization methods for the first order evolution equations. Zbl 0998.65056
Gavrilyuk, I.; Makarov, V.
2001
On the quasi-monotone modified method of characteristics for transport-diffusion problems with reactive sources. Zbl 1075.76642
Seaid, M.
2002
A fitted mesh method for a class of singularly perturbed parabolic problems with a boundary turning point. Zbl 1036.65068
Dunne, Raymond K.; O’Riordan, Eugene; Shishkin, Grigorii I.
2003
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
2017
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
2018
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
2013
A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses. Zbl 1360.74134
Chen, Gang; Xie, Xiaoping
2016
Performance of H-LU preconditioning for sparse matrices. Zbl 1156.65042
Grasedyck, L.; Hackbusch, W.; Kriemann, R.
2008
A natural adaptive nonconforming FEM of quasi-optimal complexity. Zbl 1283.65098
Rabus, H.
2010
A discrete vector calculus in tensor grids. Zbl 1283.65099
Robidoux, Nicolas; Steinberg, Stanly
2011
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun
2012
Polynomial of best uniform approximation to $$1/x$$ and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
2012
Stability of Petrov-Galerkin discretizations: application to the space-time weak formulation for parabolic evolution problems. Zbl 1290.65086
Mollet, Christian
2014
On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108
Matus, Piotr
2014
The maximum principle and some of its applications. Zbl 0995.65090
Matus, Piotr
2002
An improved error estimate for a numerical method for a system of coupled singularly perturbed reaction-diffusion equations. Zbl 1040.65066
2003
Numerical treatments for Volterra delay integro-differential equations. Zbl 1184.65122
Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M.
2009
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2014
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics. Zbl 1156.65084
Vabishchevich, P. N.
2008
Computation of the Hartree-Fock exchange by the tensor-structured methods. Zbl 1283.65037
Khoromskaia, V.
2010
Some open questions in the numerical analysis of singularly perturbed differential equations. Zbl 1329.65278
Roos, Hans-Görg; Stynes, Martin
2015
Improved least-squares error estimates for scalar hyperbolic problems. Zbl 0979.65079
Bochev, P. B.; Choi, J.
2001
Exact difference schemes for time-dependent problems. Zbl 1082.65076
Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M.
2005
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
2018
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
2017
On the numerical solution of some non-linear stochastic differential equations using the semi-discrete method. Zbl 1329.65015
Halidias, Nikolaos; Stamatiou, Ioannis S.
2016
Sharp expressions for the stabilization parameters in symmetric interior-penalty discontinuous Galerkin finite element approximations of fourth-order elliptic problems. Zbl 1136.65098
Mozolevski, I.; Bösing, P. R.
2007
Additive average Schwarz methods for discretization of elliptic problems with highly discontinuous coefficients. Zbl 1283.65019
Dryja, M.; Sarkis, M.
2010
Polynomial approximation on spheres – generalizing de la Vallée-Poussin. Zbl 1284.42078
Sloan, Ian H.
2011
Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162
Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng
2012
A remark on newest vertex bisection in any space dimension. Zbl 1297.65189
Gallistl, Dietmar; Schedensack, Mira; Stevenson, Rob P.
2014
Semi-Lagrangian integration schemes for viscous incompressible flows. Zbl 1098.76529
Seaid, M.
2002
Stabilized mixed finite element methods for linear elasticity on simplicial grids in $$\mathbb{R}^{n}$$. Zbl 1422.65378
Chen, Long; Hu, Jun; Huang, Xuehai
2017
A macro-kinetic hybrid model for traffic flow on road networks. Zbl 1194.35257
Herty, M.; Moutari, S.
2009
Stability and monotonicity of difference schemes for nonlinear scalar conservation laws and multidimensional quasi-linear parabolic equations. Zbl 1189.65209
Matus, P. P.; Lemeshevsky, S.
2009
Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised Oseen problem. Zbl 1245.76051
Matthies, G.; Lube, G.; Rohe, L.
2009
Boundary layers in a two-point boundary value problem with a Caputo fractional derivative. Zbl 1318.34010
Stynes, Martin; Gracia, José Luis
2015
A reliable residual based a posteriori error estimator for a quadratic finite element method for the elliptic obstacle problem. Zbl 1315.65057
Gudi, Thirupathi; Porwal, Kamana
2015
Stability criterion of difference schemes for the heat conduction equation with nonlocal boundary conditions. Zbl 1101.65091
Gulin, A. V.; Ionkin, N.; Morozova, V.
2006
On finite volume discretization of the three-dimensional Biot poroelasticity system in multilayer domains. Zbl 1100.74060
Naumovich, A.
2006
High order numerical methods for fractional terminal value problems. Zbl 1285.65049
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda
2014
Black-box Hartree-Fock solver by tensor numerical methods. Zbl 1285.65091
Khoromskaia, Venera
2014
On an efficient finite element method for Navier-Stokes-$$\overline{\omega}$$ with strong mass conservation. Zbl 1283.76018
Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G.; Wilson, Nicholas E.
2011
A singularly perturbed convection diffusion turning point problem with an interior layer. Zbl 1284.65157
O’Riordan, Eugene; Quinn, Jason
2012
Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control. Zbl 1327.65221
Repin, Sergey
2015
Resolvent estimates in $$l_p$$ for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes. Zbl 0987.65093
Crouzeix, Michel; Thomée, Vidar
2001
Difference schemes with nonlocal boundary conditions. Zbl 0984.65081
Goolin, Alexei V.; Ionkin, Nikolai I.; Morozova, Valentina A.
2001
Unsteady flow of a two-layer blood stream past a tapered flexible artery under stenotic conditions. Zbl 1060.35145
Chakravarty, Santabrata; Sarifuddin; Mandal, Prashanta Kumar
2004
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation. Zbl 0996.65095
Sun, Zhi-Zhong
2001
Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074
Matus, Peter
2003
On fast domain decomposition solving procedures for $$hp$$-discretizations of 3-D elliptic problems. Zbl 1038.65133
Korneev, V. G.; Langer, U.; Xanthis, L. S.
2003
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2018
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
2018
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Numerical solution of parabolic problems based on a weak space-time formulation. Zbl 1355.65133
2017
A fully-mixed finite element method for the $$n$$-dimensional Boussinesq problem with temperature-dependent parameters. Zbl 1436.65168
Almonacid, Javier A.; Gatica, Gabriel N.
2020
Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem. Zbl 1451.65146
Huang, Chaobao; Liu, Xiaohui; Meng, Xiangyun; Stynes, Martin
2020
Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem. Zbl 1436.65166
Bertrand, Fleurianne; Boffi, Daniele; Stenberg, Rolf
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
2020
A new probabilistic interpretation of the Bramble-Hilbert lemma. Zbl 1437.65179
2020
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. Zbl 1437.65124
Jiang, Suzhen; Liao, Kaifang; Wei, Ting
2020
Adaptive mesh refinement in 2D – an efficient implementation in Matlab. Zbl 1451.65217
Funken, Stefan A.; Schmidt, Anja
2020
Ensemble algorithm for parametrized flow problems with energy stable open boundary conditions. Zbl 1451.65153
Takhirov, Aziz; Waters, Jiajia
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
2020
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. Zbl 1447.65150
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.
2020
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. Zbl 1436.49006
Wang, Tao; Yang, Chaochao; Xie, Xiaoping
2020
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability. Zbl 07194988
Eikmeier, André; Emmrich, Etienne; Kreusler, Hans-Christian
2020
On the stable difference schemes for the Schrödinger equation with time delay. Zbl 1437.65159
Ashyralyev, Allaberen; Agirseven, Deniz
2020
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle
2020
Weighted estimates for boundary value problems with fractional derivatives. Zbl 1451.65171
Gavrilyuk, Ivan P.; Makarov, Volodymyr L.; Mayko, Nataliya V.
2020
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
2019
Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media. Zbl 1420.65100
Ernesti, Johannes; Wieners, Christian
2019
The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces. Zbl 1459.65223
Muga, Ignacio; Tyler, Matthew J. W.; van der Zee, Kristoffer G.
2019
Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. Zbl 07169916
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey
2019
Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients. Zbl 1464.65123
Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis
2019
A posteriori error estimation for planar linear elasticity by stress reconstruction. Zbl 1420.65117
Bertrand, Fleurianne; Moldenhauer, Marcel; Starke, Gerhard
2019
A non-conforming saddle point least squares approach for an elliptic interface problem. Zbl 1421.74094
Bacuta, Constantin; Jacavage, Jacob
2019
The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin’s method. Zbl 1429.35070
Houston, Paul; Muga, Ignacio; Roggendorf, Sarah; van der Zee, Kristoffer G.
2019
Stabilizability of infinite-dimensional systems by finite-dimensional controls. Zbl 1432.93263
Raymond, Jean-Pierre
2019
The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. Zbl 1420.65078
Makarov, Volodymyr; Mayko, Nataliya
2019
Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. Zbl 1420.65116
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert
2019
Operator learning approach for the limited view problem in photoacoustic tomography. Zbl 1430.92043
Dreier, Florian; Pereverzyev, Sergiy jun.; Haltmeier, Markus
2019
A tensor decomposition algorithm for large ODEs with conservation laws. Zbl 1420.65030
Dolgov, Sergey V.
2019
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2019
Projection methods for dynamical low-rank approximation of high-dimensional problems. Zbl 1448.65064
Kieri, Emil; Vandereycken, Bart
2019
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G.
2019
Improved analysis and simulation of a time-domain carpet cloak model. Zbl 1421.78024
Li, Jichun; Meng, Chen; Huang, Yunqing
2019
Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems. Zbl 1420.65108
Carstensen, Carsten; Dond, Asha K.; Rabus, Hella
2019
Analysis of FEAST spectral approximations using the DPG discretization. Zbl 1420.65114
Gopalakrishnan, Jay; Grubišić, Luka; Ovall, Jeffrey; Parker, Benjamin
2019
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
2019
Superconvergent DPG methods for second-order elliptic problems. Zbl 1420.65121
Führer, Thomas
2019
Fast integration of DPG matrices based on sum factorization for all the energy spaces. Zbl 1420.65125
Mora, Jaime; Demkowicz, Leszek
2019
Camellia: a rapid development framework for finite element solvers. Zbl 1426.65147
Roberts, Nathan V.
2019
Alternative enriched test spaces in the DPG method for singular perturbation problems. Zbl 1420.65126
Salazar, Jacob; Mora, Jaime; Demkowicz, Leszek
2019
An optimal embedded discontinuous Galerkin method for second-order elliptic problems. Zbl 1434.65288
Zhang, Xiao; Xie, Xiaoping; Zhang, Shiquan
2019
A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon
2019
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020
Gavrilyuk, Ivan; Khoromskij, Boris N.
2019
A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043
Benner, Peter; Onwunta, Akwum; Stoll, Martin
2019
An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations. Zbl 1420.65112
Anjam, Immanuel; Pauly, Dirk
2019
Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem. Zbl 1420.65118
Biswas, Rahul; Dond, Asha K.; Gudi, Thirupathi
2019
An explicit-implicit splitting method for a convection-diffusion problem. Zbl 1420.65089
Thomée, Vidar; Vasudeva Murthy, A. S.
2019
Multigrid methods based on Hodge decomposition for a quad-curl problem. Zbl 1420.65119
Brenner, Susanne C.; Cui, Jintao; Sung, Li-yeng
2019
Stabilizability of infinite dimensional systems by finite dimensional control. Zbl 1422.93158
Raymond, Jean-Pierre
2019
Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry. Zbl 1420.65115
Bertrand, Fleurianne; Cai, Zhiqiang; Park, Eun Young
2019
Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem. Zbl 1382.65275
Gracia, José Luis; O&rsquo;Riordan, Eugene; Stynes, Martin
2018
Müntz spectral methods for the time-fractional diffusion equation. Zbl 1382.65343
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju
2018
Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations. Zbl 1398.76036
Ahmed, Naveed; Linke, Alexander; Merdon, Christian
2018
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. Zbl 1401.65096
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2018
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
2018
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
2018
The dual-weighted residual estimator realized on polygonal meshes. Zbl 1422.65417
Weißer, Steffen; Wick, Thomas
2018
Some remarks about conservation for residual distribution schemes. Zbl 1398.76090
Abgrall, Rémi
2018
A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations. Zbl 1398.65272
Hassan, Sarah Ali; Japhet, Caroline; Kern, Michel; Vohralík, Martin
2018
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2018
Constants in discrete Poincaré and Friedrichs inequalities and discrete quasi-interpolation. Zbl 1401.65130
Carstensen, Carsten; Hellwig, Friederike
2018
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. Zbl 1382.65216
Gavrilyuk, Ivan; Makarov, Volodymyr; Romaniuk, Nataliia
2018
A nonconforming finite element method for an acoustic fluid-structure interaction problem. Zbl 1456.65148
Brenner, Susanne C.; Çeşmelioǧlu, Ayçıl; Cui, Jintao; Sung, Li-Yeng
2018
Minimax rates for statistical inverse problems under general source conditions. Zbl 1412.65041
Ding, Litao; Mathé, Peter
2018
Computation of Green’s function of the bounded solutions problem. Zbl 1412.65027
Kurbatov, Vitalii G.; Kurbatova, Irina V.
2018
Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. Zbl 1401.65132
Ern, Alexandre; Guermond, Jean-Luc
2018
Discrete functional analysis tools for some evolution equations. Zbl 1401.65097
Gallouët, Thierry
2018
Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the $$P_1$$ model. Zbl 1401.65135
Morel, Guillaume; Buet, Christophe; Despres, Bruno
2018
Bubbles enriched quadratic finite element method for the 3D-elliptic obstacle problem. Zbl 1448.65229
2018
Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model. Zbl 1391.76337
Jiang, Yao-Lin; Yang, Yun-Bo
2018
A Nitsche finite element approach for elliptic problems with discontinuous Dirichlet boundary conditions. Zbl 1401.65127
Baumann, Ramona; Wihler, Thomas P.
2018
Sparse optimal control for fractional diffusion. Zbl 1388.35214
2018
High-order semi-discrete central-upwind schemes with Lax-Wendroff-type time discretizations for Hamilton-Jacobi equations. Zbl 07059009
Abedian, Rooholah
2018
Numerical analysis for the pure Neumann control problem using the gradient discretisation method. Zbl 1415.49003
Droniou, Jérome; Nataraj, Neela; Shylaja, Devika
2018
Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. Zbl 1412.65059
Makarov, Volodymyr; Romaniuk, Nataliia
2018
Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations. Zbl 1417.35102
Parseh, Kaveh; Hejranfar, Kazem
2018
GMRES convergence bounds for eigenvalue problems. Zbl 1391.65065
Freitag, Melina A.; Kürschner, Patrick; Pestana, Jennifer
2018
Domain decomposition methods for recovering Robin coefficients in elliptic and parabolic systems. Zbl 1391.35149
Jiang, Daijun; Feng, Hui
2018
Some estimates for virtual element methods. Zbl 1434.65237
Brenner, Susanne C.; Guan, Qingguang; Sung, Li-Yeng
2017
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
2017
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
2017
An efficient algorithm for computation of MHD flow ensembles. Zbl 1419.76443
2017
Stabilized mixed finite element methods for linear elasticity on simplicial grids in $$\mathbb{R}^{n}$$. Zbl 1422.65378
Chen, Long; Hu, Jun; Huang, Xuehai
2017
Numerical solution of parabolic problems based on a weak space-time formulation. Zbl 1355.65133
2017
Error analysis of randomized Runge-Kutta methods for differential equations with time-irregular coefficients. Zbl 1380.65016
Kruse, Raphael; Wu, Yue
2017
A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems. Zbl 1434.65252
Endtmayer, Bernhard; Wick, Thomas
2017
A time-stepping DPG scheme for the heat equation. Zbl 1359.65200
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma
2017
Hybrid spectral difference methods for an elliptic equation. Zbl 1359.65257
Jeon, Youngmok; Park, Eun-Jae; Shin, Dong-wook
2017
An $$hp$$-hybrid high-order method for variable diffusion on general meshes. Zbl 1380.65244
Aghili, Joubine; Di Pietro, Daniele A.; Ruffini, Berardo
2017
On finite element formulations for the obstacle problem – mixed and stabilised methods. Zbl 1380.65114
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha
2017
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D&rsquo;Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
2017
A new generalization of the $$P_1$$ non-conforming FEM to higher polynomial degrees. Zbl 1443.65368
Schedensack, Mira
2017
Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069
Khoromskij, Boris; Repin, Sergey
2017
A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation. Zbl 1355.65108
Alikhanov, Anatoly A.
2017
A priori and a posteriori estimates of conforming and mixed FEM for a Kirchhoff equation of elliptic type. Zbl 1359.65237
Dond, Asha K.; Pani, Amiya K.
2017
Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions. Zbl 1421.76172
Guo, Aixia; Pan, Tsorng-Whay; He, Jiwen; Glowinski, Roland
2017
On well-posedness for a piezo-electromagnetic coupling model with boundary dynamics. Zbl 1388.35180
Picard, Rainer
2017
Simplified iterated Lavrentiev regularization for nonlinear ill-posed monotone operator equations. Zbl 1367.47064
Mahale, Pallavi
2017
An introduction to the analysis and implementation of sparse grid finite element methods. Zbl 1367.65153
2017
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
Jin, Bangti; Lazarov, Raytcho; Vabishchevich, Petr
2017
...and 344 more Documents
all top 5

#### Cited by 2,785 Authors

 33 Di Pietro, Daniele Antonio 28 Praetorius, Dirk 27 Carstensen, Carsten 26 Ern, Alexandre 26 Khoromskij, Boris N. 22 Makarov, Volodymyr Leonidovych 21 George, Santhosh 21 Langer, Ulrich 20 Matus, Pëtr Paŭlavich 19 Vabishchevich, Pëtr Nikolaevich 18 Repin, Sergeĭ Igorevich 17 Antonietti, Paola Francesca 17 Feischl, Michael 17 Gracia, José Luis 16 Führer, Thomas 16 O’Riordan, Eugene 15 Vassilevski, Panayot Spirov 14 Khoromskaia, Venera 14 Tröltzsch, Fredi 14 Yan, Yubin 13 Linke, Alexander 13 Seaïd, Mohammed 12 Burman, Erik 12 Dolgov, Sergey V. 12 Droniou, Jérôme 12 Gavrilyuk, Ivan P. 12 Peterseim, Daniel 12 Stynes, Martin 11 Ashyralyev, Allaberen 11 Chung, Tsz Shun Eric 11 Cockburn, Bernardo 11 Zikatanov, Ludmil T. 10 Allahviranloo, Tofigh 10 Clavero, Carmelo 10 Emmrich, Etienne 10 Gaspar, Francisco José 10 Huang, Xuehai 10 Karkulik, Michael 10 Lazarov, Raytcho D. 10 Oseledets, Ivan V. 10 Vohralík, Martin 10 Vulkov, Lubin G. 10 Yang, Yidu 9 Altmann, Robert 9 Boffi, Daniele 9 Gallistl, Dietmar 9 Gantner, Gregor 9 Gudi, Thirupathi 9 Huang, Jianguo 9 Jiang, Nan 9 Kadalbajoo, Mohan K. 9 Klawonn, Axel 9 Melenk, Jens Markus 9 Merdon, Christian 9 Pani, Amiya Kumar 9 Passacantando, Mauro 9 Verani, Marco 8 Antil, Harbir 8 Beirão da Veiga, Lourenço 8 El-Amrani, Mofdi 8 Haberl, Alexander 8 Hackbusch, Wolfgang 8 Han, Jiayu 8 Hu, Xiaozhe 8 Jovanović, Boško S. 8 Margenov, Svetozar D. 8 Rahman, Talal 8 Tamilselvan, Ayyadurai 8 Xie, Hehu 8 Xu, Jinchao 7 Argyros, Ioannis Konstantinos 7 Bause, Markus 7 Benner, Peter 7 Bi, Hai 7 Botti, Lorenzo 7 Brenner, Susanne Cecelia 7 Calo, Victor Manuel 7 Chen, Gang 7 Demkowicz, Leszek F. 7 Feng, Minfu 7 Ferreira, José Augusto 7 Gatica, Gabriel N. 7 Hoppe, Ronald H. W. 7 Hu, Jun 7 Jeon, Youngmok 7 Kaya, Songul 7 Kim, Hyea Hyun 7 Kraus, Johannes K. 7 Lisbona Cortés, Francisco Javier 7 Mora, David 7 Mu, Lin 7 Nicaise, Serge 7 Rebholz, Leo G. 7 Rheinbach, Oliver 7 Schwab, Christoph 7 Shishkin, Grigoriĭ Ivanovich 7 Toulopoulos, Ioannis 7 Turek, Stefan 7 Wick, Thomas 7 Xenophontos, Christos A. ...and 2,685 more Authors
all top 5

#### Cited in 277 Journals

 140 Journal of Computational and Applied Mathematics 126 Computers & Mathematics with Applications 105 Journal of Scientific Computing 100 SIAM Journal on Scientific Computing 81 Applied Mathematics and Computation 78 Journal of Computational Physics 75 Computer Methods in Applied Mechanics and Engineering 69 Applied Numerical Mathematics 67 SIAM Journal on Numerical Analysis 63 Mathematics of Computation 58 Computational Methods in Applied Mathematics 53 Numerische Mathematik 50 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Numerical Algorithms 31 Numerical Methods for Partial Differential Equations 30 Differential Equations 23 Calcolo 23 Advances in Computational Mathematics 17 Journal of Mathematical Analysis and Applications 17 BIT 15 International Journal for Numerical Methods in Engineering 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 Numerical Linear Algebra with Applications 15 Computational and Applied Mathematics 14 ETNA. Electronic Transactions on Numerical Analysis 13 Applied Mathematics Letters 12 Mathematics and Computers in Simulation 12 Computational Mathematics and Mathematical Physics 11 Numerical Functional Analysis and Optimization 11 Applied Mathematical Modelling 11 Linear Algebra and its Applications 11 Abstract and Applied Analysis 10 Computers and Fluids 10 Journal of Mathematical Sciences (New York) 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Communications in Nonlinear Science and Numerical Simulation 9 Lobachevskii Journal of Mathematics 9 Advances in Applied Mathematics and Mechanics 8 Mathematical Methods in the Applied Sciences 8 Information Sciences 8 Computational Mechanics 8 SIAM Journal on Matrix Analysis and Applications 8 Mathematical Problems in Engineering 8 Vietnam Journal of Mathematics 8 Journal of Numerical Mathematics 8 Journal of Applied Mathematics and Computing 8 Multiscale Modeling & Simulation 8 Inverse Problems in Science and Engineering 8 SIAM/ASA Journal on Uncertainty Quantification 8 International Journal of Applied and Computational Mathematics 7 Computer Physics Communications 7 Lithuanian Mathematical Journal 7 Journal of Optimization Theory and Applications 7 SIAM Journal on Control and Optimization 7 Computational Optimization and Applications 7 Journal of Inverse and Ill-Posed Problems 7 Mathematical Modelling and Analysis 7 Central European Journal of Mathematics 7 SMAI Journal of Computational Mathematics 6 International Journal of Computer Mathematics 6 Russian Mathematics 6 Foundations of Computational Mathematics 5 Applicable Analysis 5 Inverse Problems 5 Ukrainian Mathematical Journal 5 Constructive Approximation 5 SIAM Journal on Applied Mathematics 5 Engineering Analysis with Boundary Elements 5 Soft Computing 5 Fractional Calculus & Applied Analysis 5 Oberwolfach Reports 5 International Journal of Differential Equations 5 East Asian Journal on Applied Mathematics 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Journal of Differential Equations 4 Computer Aided Geometric Design 4 Journal of Integral Equations and Applications 4 Computational Mathematics and Modeling 4 Journal of Global Optimization 4 SIAM Journal on Mathematical Analysis 4 Cybernetics and Systems Analysis 4 Applied and Computational Harmonic Analysis 4 Journal of Difference Equations and Applications 4 Computing and Visualization in Science 4 Differential Equations and Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Computational Geosciences 4 Archives of Computational Methods in Engineering 4 Journal of Applied Mathematics 4 Acta Numerica 4 Science China. Mathematics 4 S$$\vec{\text{e}}$$MA Journal 4 ISRN Applied Mathematics 4 Results in Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Journal of Fluid Mechanics 3 Nonlinearity 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Optimization 3 Journal of Complexity ...and 177 more Journals
all top 5

#### Cited in 46 Fields

 1,782 Numerical analysis (65-XX) 873 Partial differential equations (35-XX) 392 Fluid mechanics (76-XX) 162 Mechanics of deformable solids (74-XX) 157 Calculus of variations and optimal control; optimization (49-XX) 155 Ordinary differential equations (34-XX) 79 Operator theory (47-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 68 Biology and other natural sciences (92-XX) 67 Integral equations (45-XX) 64 Optics, electromagnetic theory (78-XX) 58 Probability theory and stochastic processes (60-XX) 55 Approximations and expansions (41-XX) 53 Real functions (26-XX) 53 Operations research, mathematical programming (90-XX) 35 Computer science (68-XX) 35 Systems theory; control (93-XX) 32 Statistical mechanics, structure of matter (82-XX) 22 Geophysics (86-XX) 21 Functional analysis (46-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Statistics (62-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Special functions (33-XX) 16 Classical thermodynamics, heat transfer (80-XX) 16 Information and communication theory, circuits (94-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Integral transforms, operational calculus (44-XX) 12 General and overarching topics; collections (00-XX) 9 Potential theory (31-XX) 9 Difference and functional equations (39-XX) 7 Quantum theory (81-XX) 5 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)