# zbMATH — the first resource for mathematics

## Cancès, Clément

Compute Distance To:
 Author ID: cances.clement Published as: Cancès, C.; Cancès, Clément
 Documents Indexed: 50 Publications since 2008, including 2 Books
all top 5

#### Co-Authors

 6 single-authored 7 Chainais-Hillairet, Claire 6 Andreianov, Boris 5 Seguin, Nicolas 4 Brenner, Konstantin 4 Gallouët, Thomas O. 4 Mathis, Hélène 3 Gaudeul, Benoît 3 Guichard, Cindy 3 Krell, Stella 3 Monsaingeon, Léonard 3 Nabet, Flore 3 Tran, Quang Huy 2 Ait Hammou Oulhaj, Ahmed 2 Gallouët, Thierry 2 Godlewski, Edwige 2 Granjeon, Didier 2 Hilhorst, Danielle 2 Omnes, Pascal 2 Peton, Nicolas 2 Wolf, Sylvie 1 Bassetto, Sabrina 1 Boulanger, Anne-Céline 1 Cathala, Mathieu 1 Coquel, Frédéric 1 Enchéry, Guillaume 1 Fuhrmann, Jürgen 1 Gerstenmayer, Anita 1 Herda, Maxime 1 Ibrahim, Moustafa 1 Jüngel, Ansgar 1 Laborde, Maxime 1 Laurençot, Philippe 1 Le Potier, Christophe 1 Matthes, Daniel 1 Moussa, Ayman 1 Pierre, Michel 1 Pop, Iuliu Sorin 1 Porretta, Alessio 1 Saad, Mazen 1 Saleh, Khaled 1 Todeschi, Gabriele 1 Vohralík, Martin
all top 5

#### Serials

 5 SIAM Journal on Numerical Analysis 4 Computational Geosciences 3 SIAM Journal on Mathematical Analysis 2 Mathematics of Computation 2 Numerische Mathematik 2 Interfaces and Free Boundaries 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Springer Proceedings in Mathematics & Statistics 1 Archive for Rational Mechanics and Analysis 1 Journal of Functional Analysis 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 SMAI Journal of Computational Mathematics
all top 5

#### Fields

 38 Partial differential equations (35-XX) 37 Numerical analysis (65-XX) 30 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

39 Publications have been cited 376 times in 198 Documents Cited by Year
Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations. Zbl 1281.65139
Cancès, Clément; Cathala, Mathieu; Le Potier, Christophe
2013
An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field. Zbl 1262.35198
Cancès, Clément; Pierre, Michel
2012
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. Zbl 1392.76033
Andreianov, Boris; Cancès, Clément
2013
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
2009
Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations. Zbl 1332.65128
Cancès, Clément; Guichard, Cindy
2016
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. Zbl 1430.76369
Cancès, Clément; Pop, Iuliu Sorin; Vohralík, Martin
2014
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Zbl 1253.65122
Andreianov, Boris; Cancès, Clément
2012
Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196
Cancès, Clément; Gallouët, Thierry; Porretta, Alessio
2009
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. Zbl 1382.65267
Cancès, Clément; Guichard, Cindy
2017
On the time continuity of entropy solutions. Zbl 1232.35029
Cancès, Clément; Gallouët, Thierry
2011
Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76035
Brenner, Konstantin; Cancès, Clément; Hilhorst, Danielle
2013
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II: Nonclassical shocks to model oil-trapping. Zbl 1219.35139
Cancès, Clément
2010
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I: Convergence to the optimal entropy solution. Zbl 1219.35136
Cancès, Clément
2010
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
2015
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163
Cancès, Clément
2010
Improving Newton’s method performance by parametrization: the case of the Richards equation. Zbl 1369.65106
Brenner, Konstantin; Cancès, Clément
2017
A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. Zbl 1387.46051
Andreianov, Boris; Cancès, Clément; Moussa, Ayman
2017
Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. Zbl 1297.76152
Andreianov, Boris; Brenner, Konstantin; Cancès, Clément
2014
Error estimate for Godunov approximation of locally constrained conservation laws. Zbl 1307.65111
Cancès, Clément; Seguin, Nicolas
2012
Incompressible immiscible multiphase flows in porous media: a variational approach. Zbl 1370.35230
Cancès, Clément; Gallouët, Thomas O.; Monsaingeon, Léonard
2017
Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation. Zbl 1330.76086
Mathis, Hélène; Cancès, Clément; Godlewski, Edwige; Seguin, Nicolas
2015
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
A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. Zbl 1393.76114
Andreianov, Boris; Cancès, Clément
2014
Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system. Zbl 1416.65339
Cancès, Clément; Ibrahim, Moustafa; Saad, Mazen
2017
The gradient flow structure for incompressible immiscible two-phase flows in porous media. Zbl 1350.35150
Cancès, Clément; Gallouët, Thomas O.; Monsaingeon, Léonard
2015
Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations. Zbl 1336.35025
Cancès, Clément; Coquel, Frédéric; Godlewski, Edwige; Mathis, Hélène; Seguin, Nicolas
2015
Entropy-diminishing CVFE scheme for solving anisotropic degenerate diffusion equations. Zbl 1298.65148
Cancès, Clément; Guichard, Cindy
2014
Nonlinear parabolic equations with spatial discontinuities. Zbl 1180.35534
Cancès, Clément
2008
Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy. Zbl 1407.65160
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire
2018
Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar
2019
A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow. Zbl 07061538
Cancès, Clément; Matthes, Daniel; Nabet, Flore
2019
A nonlinear discrete duality finite volume scheme for convection-diffusion equations. Zbl 1391.76390
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2017
Finite volume approximation of a degenerate immiscible two-phase flow model of Cahn-Hilliard type. Zbl 1391.76391
Cancès, Clément; Nabet, Flore
2017
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws. Zbl 1382.65268
Cancès, Clément; Mathis, Hélène; Seguin, Nicolas
2016
A convergent finite volume scheme for two-phase flows in porous media with discontinuous capillary pressure field. Zbl 1246.76145
Brenner, K.; Cancès, C.; Hilhorst, D.
2011
Simulation of multiphase porous media flows with minimising movement and finite volume schemes. Zbl 1425.76158
Cancès, Clément; Gallouët, Thomas; Laborde, Maxime; Monsaingeon, Léonard
2019
Large time behavior of a two phase extension of the porous medium equation. Zbl 1423.35225
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire; Laurençot, Philippe
2019
Numerical scheme for a stratigraphic model with erosion constraint and nonlinear gravity flux. Zbl 1366.86004
Cancès, Clément; Granjeon, Didier; Peton, Nicolas; Tran, Quang Huy; Wolf, Sylvie
2017
Two-phase flows involving discontinuities on the capillary pressure. Zbl 1374.76120
Cancès, Clément
2008
Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. Zbl 1418.65157
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar
2019
A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow. Zbl 07061538
Cancès, Clément; Matthes, Daniel; Nabet, Flore
2019
Simulation of multiphase porous media flows with minimising movement and finite volume schemes. Zbl 1425.76158
Cancès, Clément; Gallouët, Thomas; Laborde, Maxime; Monsaingeon, Léonard
2019
Large time behavior of a two phase extension of the porous medium equation. Zbl 1423.35225
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire; Laurençot, Philippe
2019
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 analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy. Zbl 1407.65160
Oulhaj, Ahmed Ait Hammou; Cancès, Clément; Chainais-Hillairet, Claire
2018
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. Zbl 1382.65267
Cancès, Clément; Guichard, Cindy
2017
Improving Newton’s method performance by parametrization: the case of the Richards equation. Zbl 1369.65106
Brenner, Konstantin; Cancès, Clément
2017
A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs. Zbl 1387.46051
Andreianov, Boris; Cancès, Clément; Moussa, Ayman
2017
Incompressible immiscible multiphase flows in porous media: a variational approach. Zbl 1370.35230
Cancès, Clément; Gallouët, Thomas O.; Monsaingeon, Léonard
2017
Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system. Zbl 1416.65339
Cancès, Clément; Ibrahim, Moustafa; Saad, Mazen
2017
A nonlinear discrete duality finite volume scheme for convection-diffusion equations. Zbl 1391.76390
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella
2017
Finite volume approximation of a degenerate immiscible two-phase flow model of Cahn-Hilliard type. Zbl 1391.76391
Cancès, Clément; Nabet, Flore
2017
Numerical scheme for a stratigraphic model with erosion constraint and nonlinear gravity flux. Zbl 1366.86004
Cancès, Clément; Granjeon, Didier; Peton, Nicolas; Tran, Quang Huy; Wolf, Sylvie
2017
Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations. Zbl 1332.65128
Cancès, Clément; Guichard, Cindy
2016
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws. Zbl 1382.65268
Cancès, Clément; Mathis, Hélène; Seguin, Nicolas
2016
On interface transmission conditions for conservation laws with discontinuous flux of general shape. Zbl 1336.35230
Andreianov, Boris; Cancès, Clément
2015
Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation. Zbl 1330.76086
Mathis, Hélène; Cancès, Clément; Godlewski, Edwige; Seguin, Nicolas
2015
The gradient flow structure for incompressible immiscible two-phase flows in porous media. Zbl 1350.35150
Cancès, Clément; Gallouët, Thomas O.; Monsaingeon, Léonard
2015
Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations. Zbl 1336.35025
Cancès, Clément; Coquel, Frédéric; Godlewski, Edwige; Mathis, Hélène; Seguin, Nicolas
2015
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. Zbl 1430.76369
Cancès, Clément; Pop, Iuliu Sorin; Vohralík, Martin
2014
Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium. Zbl 1297.76152
Andreianov, Boris; Brenner, Konstantin; Cancès, Clément
2014
A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media. Zbl 1393.76114
Andreianov, Boris; Cancès, Clément
2014
Entropy-diminishing CVFE scheme for solving anisotropic degenerate diffusion equations. Zbl 1298.65148
Cancès, Clément; Guichard, Cindy
2014
Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations. Zbl 1281.65139
Cancès, Clément; Cathala, Mathieu; Le Potier, Christophe
2013
Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. Zbl 1392.76033
Andreianov, Boris; Cancès, Clément
2013
Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure. Zbl 1392.76035
Brenner, Konstantin; Cancès, Clément; Hilhorst, Danielle
2013
An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field. Zbl 1262.35198
Cancès, Clément; Pierre, Michel
2012
The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. Zbl 1253.65122
Andreianov, Boris; Cancès, Clément
2012
Error estimate for Godunov approximation of locally constrained conservation laws. Zbl 1307.65111
Cancès, Clément; Seguin, Nicolas
2012
On the time continuity of entropy solutions. Zbl 1232.35029
Cancès, Clément; Gallouët, Thierry
2011
A convergent finite volume scheme for two-phase flows in porous media with discontinuous capillary pressure field. Zbl 1246.76145
Brenner, K.; Cancès, C.; Hilhorst, D.
2011
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II: Nonclassical shocks to model oil-trapping. Zbl 1219.35139
Cancès, Clément
2010
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I: Convergence to the optimal entropy solution. Zbl 1219.35136
Cancès, Clément
2010
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163
Cancès, Clément
2010
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
2009
Two-phase flows involving capillary barriers in heterogeneous porous media. Zbl 1178.35196
Cancès, Clément; Gallouët, Thierry; Porretta, Alessio
2009
Nonlinear parabolic equations with spatial discontinuities. Zbl 1180.35534
Cancès, Clément
2008
Two-phase flows involving discontinuities on the capillary pressure. Zbl 1374.76120
Cancès, Clément
2008
all top 5

#### Cited by 283 Authors

 29 Cancès, Clément 19 Andreianov, Boris 10 Rosini, Massimiliano Daniele 10 Saad, Mazen 10 Vohralík, Martin 9 Brenner, Konstantin 9 Donadello, Carlotta 8 Eymard, Robert 7 Droniou, Jérôme 7 Masson, Roland 6 Chainais-Hillairet, Claire 6 Pop, Iuliu Sorin 6 Quenjel, EL Houssaine 6 Yuan, Guangwei 5 Abreu, Eduardo 5 Amaziane, Brahim 5 Guichard, Cindy 5 Tchelepi, Hamdi A. 5 Towers, John D. 4 Gallouët, Thomas O. 4 Herbin, Raphaèle 4 Jurak, Mladen 4 Le Potier, Christophe 4 Pankratov, Leonid S. 4 Razafison, Ulrich 4 Sheng, Zhiqiang 4 Wu, Jiming 4 Yousef, Soleiman 3 Coclite, Giuseppe Maria 3 Di Pietro, Daniele Antonio 3 Dong, Qiannan 3 Gallouët, Thierry 3 Ghoshal, Shyam Sundar 3 Goatin, Paola 3 Godlewski, Edwige 3 Gwiazda, Piotr 3 Ibrahim, Moustafa 3 Jüngel, Ansgar 3 Karlsen, Kenneth Hvistendahl 3 Krell, Stella 3 Mallison, Bradley T. 3 Mitra, Koondanibha 3 Monsaingeon, Léonard 3 Schweizer, Ben 3 Seguin, Nicolas 3 Su, Shuai 3 Świerczewska-Gwiazda, Agnieszka 2 Ahmed, Elyes 2 Benyahia, Mohamed 2 Bessemoulin-Chatard, Marianne 2 Chamoun, Georges 2 Delle Monache, Maria Laura 2 Díaz, Ciro 2 Enchéry, Guillaume 2 Flemisch, Bernd 2 Fuhrmann, Jürgen 2 Galvis, Juan 2 Gaudeul, Benoît 2 Gazibo, Mohamed Karimou 2 Ghilani, Mustapha 2 Groza, Mayya 2 Hamon, François P. 2 Hassan, Sarah Ali 2 Henning, Patrick 2 Herda, Maxime 2 Japhet, Caroline 2 Kane, Birane 2 Kern, Michel 2 Klöfkorn, Robert 2 Kumar, Kundan 2 Laborde, Maxime 2 Mathis, Hélène 2 Nabet, Flore 2 Ohlberger, Mario 2 Pareschi, Lorenzo 2 Pellegrino, Sabrina Francesca 2 Perez, John 2 Perthame, Benoît 2 Piatnitski, Andrey L. 2 Piccoli, Benedetto 2 Radu, Florin Adrian 2 Renac, Florent 2 Rey, Thomas 2 Ruiz-Baier, Ricardo 2 Schneider, Martin 2 Talhouk, Raafat 2 Terekhov, Kirill M. 2 Tran, Quang Huy 2 Wang, Guodong 2 Zurek, Antoine 1 Agelas, Leo 1 Aguillon, Nina 1 Ait Hammou Oulhaj, Ahmed 1 Amar, Hanan 1 Ancona, Fabio 1 Antonietti, Paola Francesca 1 Audigane, Pascal 1 Barth, Andrea 1 Bassetto, Sabrina 1 Bastian, Peter ...and 183 more Authors
all top 5

#### Cited in 64 Serials

 17 Computational Geosciences 14 Journal of Computational Physics 9 Computers & Mathematics with Applications 9 Numerische Mathematik 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computer Methods in Applied Mechanics and Engineering 7 SIAM Journal on Numerical Analysis 7 Networks and Heterogeneous Media 6 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 5 Applied Numerical Mathematics 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Functional Analysis 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 Journal of Hyperbolic Differential Equations 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Scientific Computing 3 Computational Methods in Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computers and Fluids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematical Modelling 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 SMAI Journal of Computational Mathematics 1 Applicable Analysis 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Biosciences and Engineering 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Advances in Mathematical Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering
all top 5

#### Cited in 21 Fields

 133 Numerical analysis (65-XX) 123 Partial differential equations (35-XX) 93 Fluid mechanics (76-XX) 16 Operations research, mathematical programming (90-XX) 14 Mechanics of deformable solids (74-XX) 11 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Geophysics (86-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 1 Optics, electromagnetic theory (78-XX)