Edit Profile (opens in new tab) Nataf, Frédéric Co-Author Distance Author ID: nataf.frederic Published as: Nataf, Frédéric; Nataf, F.; Nataf, Frederic more...less External Links: MGP Documents Indexed: 127 Publications since 1987, including 1 Book and 8 Additional arXiv Preprints Co-Authors: 75 Co-Authors with 111 Joint Publications 2,009 Co-Co-Authors all top 5 Co-Authors 16 single-authored 27 Dolean, Victorita 12 Tournier, Pierre-Henri 10 Faille, Isabelle 10 Japhet, Caroline 10 Jolivet, Pierre 9 Achdou, Yves 9 Rogier, François 9 Willien, Françoise 8 Gander, Martin Jakob 7 Assous, Franck 7 Maday, Yvon 7 Spillane, Nicole 6 Grigori, Laura 5 Kray, Marie 5 Nier, Francis 4 Flauraud, Eric 4 Grote, Marcus J. 4 Hauret, Patrice 4 Rapin, Gerd 4 Saas, Laurent 4 Scheichl, Robert 4 Xiang, Hua 3 Bootland, Niall 3 Chniti, Chokri 3 Claeys, Xavier 3 Haferssas, Ryadh 3 Hecht, Frédéric 3 Lanteri, Stéphane 3 Niu, Qiang 3 Pechstein, Clemens 2 Bonazzoli, Marcella 2 Chevalier, Philippe B. 2 Conen, Lea 2 Desroziers, Sylvain 2 Gerardo-Giorda, Luca 2 Halpern, Laurence 2 Krause, Rolf H. 2 Kumar, Pawan 2 Lantos, Nicolas 2 Le Tallec, Patrick 2 Magoulès, Frédéric 2 Masson, Roland 2 Prud’homme, Christophe 2 Schneider, Frédéric 2 Sentis, Remi 2 Turkel, Eli L. 2 Wolf, Sylvie 1 Anquez, Louis 1 Barrenechea, Gabriel R. 1 Bosy, Michał 1 Bouziani, Nacime 1 Charton, Philippe 1 Coulet, Julien 1 Daas, Hussam Al 1 de Sturler, Eric 1 Fezzani, Riadh 1 Girault, Vivette 1 Graff, Marie 1 Guy, Nicolas 1 Havé, Pascal 1 Lanteri, D. 1 Lohéac, Jean-Pierre 1 Marchand, Pierre 1 Moufawad, Sophie M. 1 Operto, Stéphane 1 Pégaz-Fiornet, Sylvie 1 Qu, Long 1 Rixen, Daniel J. 1 Roux, François-Xavier 1 Schatzman, Michelle 1 Szydlarski, Mikolaj 1 Tang, Jet Hoe 1 Vidrascu, Marina 1 Wang, Ke 1 Zhao, Tao all top 5 Serials 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Computational Physics 7 Numerische Mathematik 5 Journal of Computational and Applied Mathematics 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Numerical Linear Algebra with Applications 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Scientific Computing 3 Computer Methods in Applied Mechanics and Engineering 3 SIAM Journal on Numerical Analysis 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Mathematics of Computation 2 Journal of Scientific Computing 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 2 Journal of Computational Acoustics 1 Wave Motion 1 Calcolo 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 FGCS. Future Generation Computer Systems 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal de Mécanique Théorique et Appliquée 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Computational Geosciences 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 MathematicS In Action 1 Other Titles in Applied Mathematics all top 5 Fields 97 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,371 times in 760 Documents Cited by ▼ Year ▼ Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061 Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 169 2002 An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation. Zbl 1364.65277 Dolean, Victorita; Jolivet, Pierre; Nataf, Frédéric 145 2015 Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Zbl 1291.65109 Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R. 91 2014 Optimal Schwarz waveform relaxation for the one dimensional wave equation. Zbl 1085.65077 Gander, Martin J.; Halpern, Laurence; Nataf, Frédéric 80 2003 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 53 2012 The optimized order 2 method: Application to convection-diffusion problems. Zbl 1050.65124 Japhet, C.; Nataf, F.; Rogier, F. 42 2001 A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole 40 2011 Domain decomposition methods for fluid dynamics. Zbl 0861.76070 Nataf, Frédéric; Rogier, François; de Sturler, E. 36 1995 Symmetrized method with optimized second-order conditions for the Helmholtz equation. Zbl 0909.65105 Chevalier, Philippe; Nataf, Frédéric 35 1998 A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043 Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina 33 2000 Factorization of the convection-diffusion operator and the Schwarz algorithm. Zbl 0826.65102 Nataf, Frédéric; Rogier, François 33 1995 Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108 Nataf, Frédéric; Nier, F. 32 1997 A new approach to perfectly matched layers for the linearized Euler system. Zbl 1088.76052 Nataf, Frédéric 25 2006 An incomplete Lu preconditioner for problems in acoustics. Zbl 1189.76362 Gander, Martin J.; Nataf, Frédéric 25 2005 A robust two-level domain decomposition preconditioner for systems of PDEs. Zbl 1252.65201 Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Pechstein, Clemens; Scheichl, Robert 23 2011 Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method. Zbl 1269.65037 Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Rixen, Daniel J. 23 2013 Domain decomposition for an asymptotic geological fault modeling. Zbl 1223.86002 Flauraud, Eric; Nataf, Frédéric; Faille, Isabelle; Masson, Roland 22 2003 A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Zbl 1321.65172 Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric 20 2014 Time-reversed absorbing condition: application to inverse problems. Zbl 1220.35188 Assous, F.; Kray, M.; Nataf, F.; Turkel, E. 16 2011 A new fault model in geological basin modelling. Application of finite volume scheme and domain decomposition methods. Zbl 1055.86001 Faille, Isabelle; Flauraud, Eric; Nataf, Frédéric; Pégaz-Fiornet, Sylvie; Schneider, Frédéric; Willien, Françoise 16 2002 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144 Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 16 2005 An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. Zbl 1371.65129 Haferssas, R.; Jolivet, P.; Nataf, F. 16 2017 A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086 Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F. 15 2002 AILU: a preconditioner based on the analytic factorization of the elliptic operator. Zbl 1051.65054 Gander, Martin J.; Nataf, Frédéric 15 2000 Ailu for Helmholtz problems: a new preconditioner based on the analytic parabolic factorization. Zbl 1360.76181 Gander, Martin J.; Nataf, Frédéric 15 2001 An open boundary condition for the computation of the steady incompressible Navier-Stokes equations. Zbl 0679.76037 Nataf, Frédéric 14 1989 A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061 Achdou, Yves; Nataf, Frédéric 12 1997 Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112 Gerardo-Giorda, L.; Nataf, F. 12 2005 Enlarged Krylov subspace conjugate gradient methods for reducing communication. Zbl 1382.65086 Grigori, Laura; Moufawad, Sophie; Nataf, Frederic 12 2016 A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita 12 2010 A fully coupled scheme using virtual element method and finite volume for poroelasticity. Zbl 1434.86001 Coulet, Julien; Faille, Isabelle; Girault, Vivette; Guy, Nicolas; Nataf, Frédéric 12 2020 A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients. Zbl 1053.76039 Gerardo-Giorda, Luca; Le Tallec, Patrick; Nataf, Frédéric 11 2004 Low frequency tangential filtering decomposition. Zbl 1199.65087 Achdou, Y.; Nataf, F. 10 2007 Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients. Zbl 1087.65116 Flauraud, E.; Nataf, F.; Willien, F. 9 2006 Convergence analysis of additive Schwarz for the Euler equations. Zbl 1146.76629 Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric 8 2004 Time-reversed absorbing conditions in the partial aperture case. Zbl 1360.35314 Assous, F.; Kray, M.; Nataf, F. 8 2012 Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189 Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao 8 2013 An optimized order 2(OO2) method for the Helmholtz equation. Zbl 0910.65085 Chevalier, Philippe; Nataf, Frédéric 7 1998 An iterated tangential filtering decomposition. Zbl 1071.65035 Achdou, Y.; Nataf, F. 7 2003 Finite volume methods for domain decomposition on nonmatching grids with arbitrary interface conditions. Zbl 1088.65100 Saas, L.; Faille, I.; Nataf, F.; Willien, F. 7 2005 Absorbing boundary conditions in block Gauss-Seidel methods for convection problems. Zbl 0857.65032 Nataf, Frédéric 7 1996 A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2. (Un espace grossier robuste pour les méthodes de Schwarz optimisées : SORAS-GenEO-2.) Zbl 1327.65241 Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric 7 2015 Optimized interface conditions for domain decomposition methods in fluid dynamics. Zbl 1025.76034 Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric 7 2002 Parallel controllability methods for the Helmholtz equation. Zbl 1439.35144 Grote, Marcus J.; Nataf, Frédéric; Tang, Jet Hoe; Tournier, Pierre-Henri 7 2020 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. 7 2012 Absorbing boundary conditions and perfectly matched layers in wave propagation problems. Zbl 1288.78013 Nataf, Frédéric 7 2013 Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Zbl 1223.76045 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 6 2009 Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1203.65183 Lantos, Nicolas; Nataf, Frédéric 6 2010 Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 5 2009 Interface connections in domain decomposition methods. Zbl 1054.65124 Nataf, Frédéric 5 2002 New constructions of domain decomposition methods for systems of PDEs. Zbl 1071.65166 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 5 2005 Time-dependent wave splitting and source separation. Zbl 1378.35209 Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck 5 2017 Optimized interface conditions for sedimentary basin modelling. Zbl 1201.76172 Faille, I.; Flauraud, E.; Nataf, F.; Schneider, F.; Willien, F. 5 2002 Modified tangential frequency filtering decomposition and its Fourier analysis. Zbl 1211.65038 Niu, Qiang; Grigori, Laura; Kumar, Pawan; Nataf, Frédéric 5 2010 Two-level preconditioning for \(h\)-version boundary element approximation of hypersingular operator with GenEO. Zbl 1451.65215 Marchand, Pierre; Claeys, Xavier; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri 5 2020 Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1132.76040 Desroziers, S.; Nataf, F.; Sentis, R. 4 2008 A new domain decomposition method for the compressible Euler equations. Zbl 1173.76381 Dolean, Victorita; Nataf, Frédéric 4 2006 A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405 Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 4 2014 Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 4 2006 New constructions of perfectly matched layers for the linearized Euler equations. Zbl 1159.76365 Nataf, Frédéric 4 2005 Wave splitting for time-dependent scattered field separation. (Décomposition d’ondes pour la séparation de champs diffractés dans le domaine temporel.) Zbl 1333.35262 Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck 4 2015 How to solve inverse scattering problems without knowing the source term: a three-step strategy. Zbl 1426.78020 Graff, Marie; Grote, Marcus J.; Nataf, Frédéric; Assous, Franck 4 2019 Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007 Nataf, Frédéric; Nier, Francis 3 1998 Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036 Achdou, Yves; Nataf, Frédéric 3 1995 AILU for Helmholtz problems: A new preconditioner based on an analytic factorization. Zbl 0960.65054 Gander, Martin; Nataf, Frédéric 3 2000 Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 3 2008 Méthode de décomposition de domaine pour l’équation d’advection- diffusion. (Domain decomposition method for the advection-diffusion equation). Zbl 0736.76042 Charton, Philippe; Nataf, Frédéric; Rogier, François 3 1991 Parabolic approximations of the convection-diffusion equation. Zbl 0771.76067 Lohéac, J. P.; Nataf, Frédéric; Schatzman, M. 3 1993 On relaxed nested factorization and combination preconditioning. Zbl 1338.65076 Kumar, P.; Grigori, L.; Nataf, F.; Niu, Q. 3 2016 Time reversed absorbing conditions. (Conditions aux limites absorbantes retournées temporellement.) Zbl 1206.35158 Assous, Franck; Kray, Marie; Nataf, Frédéric; Turkel, Eli 3 2010 Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Zbl 1430.76361 Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita; Nataf, Frédéric; Tournier, Pierre-Henri 3 2019 Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves. Zbl 1484.65323 Nataf, Frédéric 3 2020 Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems. Zbl 1481.65252 Bonazzoli, Marcella; Claeys, Xavier; Nataf, Frédéric; Tournier, Pierre-Henri 3 2021 Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031 Xiang, Hua; Nataf, Frédéric 3 2014 A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121 Japhet, Caroline; Maday, Yvon; Nataf, Frederic 3 2013 How to use the Smith factorization for domain decomposition methods applied to the Stokes equations. Zbl 1140.65366 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 2 2008 Two sides tangential filtering decomposition. Zbl 1211.65037 Grigori, Laura; Nataf, Frédéric; Niu, Qiang 2 2011 Extension of a coarse grid preconditioner to non-symmetric problems. Zbl 0910.65069 Japhet, Caroline; Nataf, Frédéric; Roux, François-Xavier 2 1998 Two local time stepping schemes for parabolic problems. Zbl 1181.65119 Faille, Isabelle; Nataf, Frédéric; Willien, Françoise; Wolf, Sylvie 2 2009 Domain decomposition methods for wave propagation. Zbl 0960.65106 Gander, Martin J.; Halpern, Laurence; Nataf, Frederic 2 2000 Finite volume methods on non-matching grids with arbitrary interface conditions and highly heterogeneous media. Zbl 1152.76432 Faille, I.; Nataf, F.; Saas, L.; Willien, F. 2 2005 Construction of interface conditions for solving the compressible Euler equations by non-overlapping domain decomposition methods. Zbl 1025.76021 Dolean, Victorita; Nataf, Frédéric; Lanteri, Stéphane 2 2002 Full-waveform redatuming via a TRAC approach: a first step towards target oriented inverse problem. Zbl 07512363 Assous, Franck; Nataf, Frédéric 2 2021 A Schwarz additive method with high order interface conditions and nonoverlapping subdomains. Zbl 0926.65098 Nataf, Frédéric 1 1998 Outflow boundary conditions and domain decomposition method. Zbl 0817.65077 Nataf, Frédéric; Rogier, François 1 1994 Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445 Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe 1 2014 The optimized order 2 method. Application to convection-diffusion problems. Zbl 0946.65127 Japhet, Caroline; Nataf, Frédéric; Rogier, François 1 1999 Domain decomposition for a finite volume method on non-matching grids. Zbl 1038.65136 Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise 1 2004 Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1177.78048 Sentis, R.; Desroziers, S.; Nataf, F. 1 2006 Domain decomposition with Robin interface conditions on non-matching grids using finite volume method. Zbl 1062.65132 Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise 1 2002 Résolution de l’équation de convection-diffusion stationnaire par une factorisation parabolique.(Parabolized algorithm for the steady convection-diffusion equation). Zbl 0703.65058 Nataf, Frédéric 1 1990 Interface conditions for domain decomposition methods for Oseen systems in dimension 2 and 3. (Conditions d’interface pour les méthodes de décomposition de domaine pour le système d’Oseen en dimensions 2 et 3.) Zbl 0877.65078 Nataf, Frédéric 1 1997 Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method. Zbl 0796.65105 Nataf, Frédéric; Rogier, François 1 1994 Block filtering decomposition. Zbl 1340.65043 Fezzani, Riadh; Grigori, Laura; Nataf, Frédéric; Wang, Ke 1 2014 Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Zbl 1363.65044 Grigori, Laura; Nataf, Frédéric; Qu, Long 1 2015 An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. Zbl 1369.65162 Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric 1 2017 Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1198.35017 Lantos, Nicolas; Nataf, Frédéric 1 2010 Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems. Zbl 1481.65252 Bonazzoli, Marcella; Claeys, Xavier; Nataf, Frédéric; Tournier, Pierre-Henri 3 2021 Full-waveform redatuming via a TRAC approach: a first step towards target oriented inverse problem. Zbl 07512363 Assous, Franck; Nataf, Frédéric 2 2021 A fully coupled scheme using virtual element method and finite volume for poroelasticity. Zbl 1434.86001 Coulet, Julien; Faille, Isabelle; Girault, Vivette; Guy, Nicolas; Nataf, Frédéric 12 2020 Parallel controllability methods for the Helmholtz equation. Zbl 1439.35144 Grote, Marcus J.; Nataf, Frédéric; Tang, Jet Hoe; Tournier, Pierre-Henri 7 2020 Two-level preconditioning for \(h\)-version boundary element approximation of hypersingular operator with GenEO. Zbl 1451.65215 Marchand, Pierre; Claeys, Xavier; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri 5 2020 Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves. Zbl 1484.65323 Nataf, Frédéric 3 2020 How to solve inverse scattering problems without knowing the source term: a three-step strategy. Zbl 1426.78020 Graff, Marie; Grote, Marcus J.; Nataf, Frédéric; Assous, Franck 4 2019 Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Zbl 1430.76361 Barrenechea, Gabriel R.; Bosy, Michał; Dolean, Victorita; Nataf, Frédéric; Tournier, Pierre-Henri 3 2019 An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. Zbl 1371.65129 Haferssas, R.; Jolivet, P.; Nataf, F. 16 2017 Time-dependent wave splitting and source separation. Zbl 1378.35209 Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck 5 2017 An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. Zbl 1369.65162 Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric 1 2017 Enlarged Krylov subspace conjugate gradient methods for reducing communication. Zbl 1382.65086 Grigori, Laura; Moufawad, Sophie; Nataf, Frederic 12 2016 On relaxed nested factorization and combination preconditioning. Zbl 1338.65076 Kumar, P.; Grigori, L.; Nataf, F.; Niu, Q. 3 2016 An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation. Zbl 1364.65277 Dolean, Victorita; Jolivet, Pierre; Nataf, Frédéric 145 2015 A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2. (Un espace grossier robuste pour les méthodes de Schwarz optimisées : SORAS-GenEO-2.) Zbl 1327.65241 Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric 7 2015 Wave splitting for time-dependent scattered field separation. (Décomposition d’ondes pour la séparation de champs diffractés dans le domaine temporel.) Zbl 1333.35262 Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck 4 2015 Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Zbl 1363.65044 Grigori, Laura; Nataf, Frédéric; Qu, Long 1 2015 Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Zbl 1291.65109 Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R. 91 2014 A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Zbl 1321.65172 Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric 20 2014 A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405 Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 4 2014 Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031 Xiang, Hua; Nataf, Frédéric 3 2014 Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445 Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe 1 2014 Block filtering decomposition. Zbl 1340.65043 Fezzani, Riadh; Grigori, Laura; Nataf, Frédéric; Wang, Ke 1 2014 Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method. Zbl 1269.65037 Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Rixen, Daniel J. 23 2013 Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189 Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao 8 2013 Absorbing boundary conditions and perfectly matched layers in wave propagation problems. Zbl 1288.78013 Nataf, Frédéric 7 2013 A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121 Japhet, Caroline; Maday, Yvon; Nataf, Frederic 3 2013 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 53 2012 Time-reversed absorbing conditions in the partial aperture case. Zbl 1360.35314 Assous, F.; Kray, M.; Nataf, F. 8 2012 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. 7 2012 A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole 40 2011 A robust two-level domain decomposition preconditioner for systems of PDEs. Zbl 1252.65201 Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Pechstein, Clemens; Scheichl, Robert 23 2011 Time-reversed absorbing condition: application to inverse problems. Zbl 1220.35188 Assous, F.; Kray, M.; Nataf, F.; Turkel, E. 16 2011 Two sides tangential filtering decomposition. Zbl 1211.65037 Grigori, Laura; Nataf, Frédéric; Niu, Qiang 2 2011 A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092 Nataf, Frédéric; Xiang, Hua; Dolean, Victorita 12 2010 Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1203.65183 Lantos, Nicolas; Nataf, Frédéric 6 2010 Modified tangential frequency filtering decomposition and its Fourier analysis. Zbl 1211.65038 Niu, Qiang; Grigori, Laura; Kumar, Pawan; Nataf, Frédéric 5 2010 Time reversed absorbing conditions. (Conditions aux limites absorbantes retournées temporellement.) Zbl 1206.35158 Assous, Franck; Kray, Marie; Nataf, Frédéric; Turkel, Eli 3 2010 Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1198.35017 Lantos, Nicolas; Nataf, Frédéric 1 2010 Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Zbl 1223.76045 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 6 2009 Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 5 2009 Two local time stepping schemes for parabolic problems. Zbl 1181.65119 Faille, Isabelle; Nataf, Frédéric; Willien, Françoise; Wolf, Sylvie 2 2009 Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1132.76040 Desroziers, S.; Nataf, F.; Sentis, R. 4 2008 Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 3 2008 How to use the Smith factorization for domain decomposition methods applied to the Stokes equations. Zbl 1140.65366 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 2 2008 Low frequency tangential filtering decomposition. Zbl 1199.65087 Achdou, Y.; Nataf, F. 10 2007 A new approach to perfectly matched layers for the linearized Euler system. Zbl 1088.76052 Nataf, Frédéric 25 2006 Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients. Zbl 1087.65116 Flauraud, E.; Nataf, F.; Willien, F. 9 2006 A new domain decomposition method for the compressible Euler equations. Zbl 1173.76381 Dolean, Victorita; Nataf, Frédéric 4 2006 Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124 Chniti, Chokri; Nataf, Frédéric; Nier, Francis 4 2006 Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1177.78048 Sentis, R.; Desroziers, S.; Nataf, F. 1 2006 An incomplete Lu preconditioner for problems in acoustics. Zbl 1189.76362 Gander, Martin J.; Nataf, Frédéric 25 2005 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144 Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 16 2005 Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112 Gerardo-Giorda, L.; Nataf, F. 12 2005 Finite volume methods for domain decomposition on nonmatching grids with arbitrary interface conditions. Zbl 1088.65100 Saas, L.; Faille, I.; Nataf, F.; Willien, F. 7 2005 New constructions of domain decomposition methods for systems of PDEs. Zbl 1071.65166 Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd 5 2005 New constructions of perfectly matched layers for the linearized Euler equations. Zbl 1159.76365 Nataf, Frédéric 4 2005 Finite volume methods on non-matching grids with arbitrary interface conditions and highly heterogeneous media. Zbl 1152.76432 Faille, I.; Nataf, F.; Saas, L.; Willien, F. 2 2005 A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients. Zbl 1053.76039 Gerardo-Giorda, Luca; Le Tallec, Patrick; Nataf, Frédéric 11 2004 Convergence analysis of additive Schwarz for the Euler equations. Zbl 1146.76629 Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric 8 2004 Domain decomposition for a finite volume method on non-matching grids. Zbl 1038.65136 Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise 1 2004 Optimal Schwarz waveform relaxation for the one dimensional wave equation. Zbl 1085.65077 Gander, Martin J.; Halpern, Laurence; Nataf, Frédéric 80 2003 Domain decomposition for an asymptotic geological fault modeling. Zbl 1223.86002 Flauraud, Eric; Nataf, Frédéric; Faille, Isabelle; Masson, Roland 22 2003 An iterated tangential filtering decomposition. Zbl 1071.65035 Achdou, Y.; Nataf, F. 7 2003 Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061 Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric 169 2002 A new fault model in geological basin modelling. Application of finite volume scheme and domain decomposition methods. Zbl 1055.86001 Faille, Isabelle; Flauraud, Eric; Nataf, Frédéric; Pégaz-Fiornet, Sylvie; Schneider, Frédéric; Willien, Françoise 16 2002 A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086 Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F. 15 2002 Optimized interface conditions for domain decomposition methods in fluid dynamics. Zbl 1025.76034 Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric 7 2002 Interface connections in domain decomposition methods. Zbl 1054.65124 Nataf, Frédéric 5 2002 Optimized interface conditions for sedimentary basin modelling. Zbl 1201.76172 Faille, I.; Flauraud, E.; Nataf, F.; Schneider, F.; Willien, F. 5 2002 Construction of interface conditions for solving the compressible Euler equations by non-overlapping domain decomposition methods. Zbl 1025.76021 Dolean, Victorita; Nataf, Frédéric; Lanteri, Stéphane 2 2002 Domain decomposition with Robin interface conditions on non-matching grids using finite volume method. Zbl 1062.65132 Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise 1 2002 The optimized order 2 method: Application to convection-diffusion problems. Zbl 1050.65124 Japhet, C.; Nataf, F.; Rogier, F. 42 2001 Ailu for Helmholtz problems: a new preconditioner based on the analytic parabolic factorization. Zbl 1360.76181 Gander, Martin J.; Nataf, Frédéric 15 2001 A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043 Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina 33 2000 AILU: a preconditioner based on the analytic factorization of the elliptic operator. Zbl 1051.65054 Gander, Martin J.; Nataf, Frédéric 15 2000 AILU for Helmholtz problems: A new preconditioner based on an analytic factorization. Zbl 0960.65054 Gander, Martin; Nataf, Frédéric 3 2000 Domain decomposition methods for wave propagation. Zbl 0960.65106 Gander, Martin J.; Halpern, Laurence; Nataf, Frederic 2 2000 The optimized order 2 method. Application to convection-diffusion problems. Zbl 0946.65127 Japhet, Caroline; Nataf, Frédéric; Rogier, François 1 1999 Symmetrized method with optimized second-order conditions for the Helmholtz equation. Zbl 0909.65105 Chevalier, Philippe; Nataf, Frédéric 35 1998 An optimized order 2(OO2) method for the Helmholtz equation. Zbl 0910.65085 Chevalier, Philippe; Nataf, Frédéric 7 1998 Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007 Nataf, Frédéric; Nier, Francis 3 1998 Extension of a coarse grid preconditioner to non-symmetric problems. Zbl 0910.65069 Japhet, Caroline; Nataf, Frédéric; Roux, François-Xavier 2 1998 A Schwarz additive method with high order interface conditions and nonoverlapping subdomains. Zbl 0926.65098 Nataf, Frédéric 1 1998 Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108 Nataf, Frédéric; Nier, F. 32 1997 A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061 Achdou, Yves; Nataf, Frédéric 12 1997 Interface conditions for domain decomposition methods for Oseen systems in dimension 2 and 3. (Conditions d’interface pour les méthodes de décomposition de domaine pour le système d’Oseen en dimensions 2 et 3.) Zbl 0877.65078 Nataf, Frédéric 1 1997 Absorbing boundary conditions in block Gauss-Seidel methods for convection problems. Zbl 0857.65032 Nataf, Frédéric 7 1996 Domain decomposition methods for fluid dynamics. Zbl 0861.76070 Nataf, Frédéric; Rogier, François; de Sturler, E. 36 1995 Factorization of the convection-diffusion operator and the Schwarz algorithm. Zbl 0826.65102 Nataf, Frédéric; Rogier, François 33 1995 Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036 Achdou, Yves; Nataf, Frédéric 3 1995 Outflow boundary conditions and domain decomposition method. Zbl 0817.65077 Nataf, Frédéric; Rogier, François 1 1994 Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method. Zbl 0796.65105 Nataf, Frédéric; Rogier, François 1 1994 Parabolic approximations of the convection-diffusion equation. Zbl 0771.76067 Lohéac, J. P.; Nataf, Frédéric; Schatzman, M. 3 1993 Méthode de décomposition de domaine pour l’équation d’advection- diffusion. (Domain decomposition method for the advection-diffusion equation). Zbl 0736.76042 Charton, Philippe; Nataf, Frédéric; Rogier, François 3 1991 Résolution de l’équation de convection-diffusion stationnaire par une factorisation parabolique.(Parabolized algorithm for the steady convection-diffusion equation). Zbl 0703.65058 Nataf, Frédéric 1 1990 An open boundary condition for the computation of the steady incompressible Navier-Stokes equations. Zbl 0679.76037 Nataf, Frédéric 14 1989 all cited Publications top 5 cited Publications all top 5 Cited by 1,028 Authors 64 Gander, Martin Jakob 49 Nataf, Frédéric 32 Dolean, Victorita 25 Magoulès, Frédéric 20 Antoine, Xavier 20 Masson, Roland 19 Geuzaine, Christophe A. 17 Halpern, Laurence 15 Grigori, Laura 15 Jolivet, Pierre 13 Klawonn, Axel 13 Tournier, Pierre-Henri 13 Xu, Yingxiang 12 Chung, Tsz Shun Eric 12 Japhet, Caroline 10 Brenner, Konstantin 10 Grote, Marcus J. 10 Heinlein, Alexander 10 Lorin, Emmanuel 10 Maday, Yvon 10 Rheinbach, Oliver 9 Spillane, Nicole 9 Wang, Junxian 9 Zhang, Hui 8 Claeys, Xavier 8 Kim, Hyea Hyun 8 Lanteri, Stéphane 8 Rahman, Talal 8 Zampini, Stefano 7 Assous, Franck 7 Bao, Weizhu 7 Givoli, Dan 7 Graham, Ivan G. 7 Kern, Michel 7 Marcinkowski, Leszek 7 Niu, Qiang 7 Roberts, Jean Elizabeth 7 Roux, François-Xavier 7 Spence, Euan A. 7 Szyld, Daniel B. 7 Turkel, Eli L. 7 Vuik, Cornelis 6 Boubendir, Yassine 6 Daas, Hussam Al 6 El Bouajaji, Mohamed 6 Fumagalli, Alessio 6 Han, Houde 6 Hoang, Thi-Thao-Phuong 6 Il’in, Valeriĭ Pavlovich 6 Kwok, Felix 6 Nier, Francis 6 Pavarino, Luca Franco 6 Scheichl, Robert 6 Vanzan, Tommaso 6 Vohralík, Martin 6 Widlund, Olof B. 5 Bécache, Eliane 5 Beirão da Veiga, Lourenço 5 Chniti, Chokri 5 Gosselet, Pierre 5 Hennicker, Julian 5 Lanser, Martin 5 Lee, Jin-Fa 5 Loneland, Atle 5 Martin, Véronique 5 Modave, Axel 5 Santugini-Repiquet, Kévin 5 Szeftel, Jérémie 5 Tang, Jet Hoe 5 Thierry, Bertrand 5 Trenty, Laurent 5 Xing, Feng 5 Xu, Xuejun 5 Ying, Lexing 4 Baffet, Daniel H. 4 Banerjee, Moloy Kumar 4 Barrenechea, Gabriel R. 4 Barucq, Hélène 4 Blayo, Eric 4 Bonazzoli, Marcella 4 Castelletto, Nicola 4 Chaouqui, Faycal 4 Ciaramella, Gabriele 4 Collino, Francis 4 Datta, Amitava 4 Droniou, Jérôme 4 Efendiev, Yalchin R. 4 Engquist, Bjorn E. 4 Faille, Isabelle 4 Franceschini, Andrea 4 Fu, Shubin 4 Ganguly, Ranjan 4 Griesmaier, Roland 4 Haferssas, Ryadh 4 Hauret, Patrice 4 Haynes, Ronald D. 4 Hecht, Frédéric 4 Hu, Fang Qi 4 Kachanovska, Maryna 4 Knepper, Jascha ...and 928 more Authors all top 5 Cited in 119 Serials 84 Journal of Computational Physics 71 SIAM Journal on Scientific Computing 55 Computer Methods in Applied Mechanics and Engineering 30 Journal of Computational and Applied Mathematics 28 Journal of Scientific Computing 26 Applied Numerical Mathematics 24 Numerische Mathematik 21 Computers & Mathematics with Applications 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Numerical Algorithms 16 SIAM Journal on Numerical Analysis 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Mathematics of Computation 11 ETNA. Electronic Transactions on Numerical Analysis 11 Computational Geosciences 9 Computers and Fluids 9 International Journal for Numerical Methods in Engineering 8 Applied Mathematics and Computation 7 Inverse Problems 7 SIAM Journal on Matrix Analysis and Applications 7 International Journal of Computer Mathematics 7 Numerical Linear Algebra with Applications 7 Multiscale Modeling & Simulation 7 Communications in Computational Physics 6 Wave Motion 6 Numerical Methods for Partial Differential Equations 6 Computational Methods in Applied Mathematics 6 Journal of Computational Acoustics 6 GAMM-Mitteilungen 5 Computer Physics Communications 5 International Journal for Numerical Methods in Fluids 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Applied Mathematical Modelling 5 SIAM Journal on Applied Mathematics 4 BIT 4 Advances in Computational Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 SMAI Journal of Computational Mathematics 3 Computational Mechanics 3 Linear Algebra and its Applications 3 Journal of Mathematical Sciences (New York) 3 Archives of Computational Methods in Engineering 3 International Journal of Computational Methods 3 Acta Numerica 3 GEM - International Journal on Geomathematics 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Calcolo 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 2 Computational and Applied Mathematics 2 Computing and Visualization in Science 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Numerical Mathematics: Theory, Methods and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Automatica 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Moscow University Computational Mathematics and Cybernetics 1 Applied Mathematics and Mechanics. (English Edition) 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Computational Optimization and Applications 1 Applied and Computational Harmonic Analysis 1 Annales Mathématiques Blaise Pascal 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Applied Mathematics and Computer Science 1 Engineering Computations 1 Mathematical Modelling and Analysis 1 Matematicheskoe Modelirovanie 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Inverse Problems in Science and Engineering 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena ...and 19 more Serials all top 5 Cited in 40 Fields 657 Numerical analysis (65-XX) 324 Partial differential equations (35-XX) 194 Fluid mechanics (76-XX) 93 Mechanics of deformable solids (74-XX) 64 Optics, electromagnetic theory (78-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Computer science (68-XX) 13 Biology and other natural sciences (92-XX) 12 Geophysics (86-XX) 9 Ordinary differential equations (34-XX) 9 Systems theory; control (93-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year