## Bossavit, Alain

Compute Distance To:
 Author ID: bossavit.alain Published as: Bossavit, A.; Bossavit, Alain External Links: MGP
 Documents Indexed: 80 Publications since 1969, including 2 Books 2 Contributions as Editor Co-Authors: 18 Co-Authors with 19 Joint Publications 529 Co-Co-Authors
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### Co-Authors

 63 single-authored 5 Rapetti, Francesca 2 Damlamian, Alain 2 Dubois, François 2 Frémond, Michel 2 Griso, Georges 2 Kettunen, Lauri 2 Miara, Bernadette 2 Planchard, Jacques 1 Bensoussan, Alain 1 Blanchet, Didier 1 Cahouet, Jacques 1 Chaussecourte, P. 1 Forsman, Kimmo 1 Métivet, Brigitte 1 Nédélec, Jean-Claude 1 Rodrigues, José Francisco 1 Trykozko, Anna 1 Zijl, Wouter
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### Serials

 10 COMPEL 10 Bulletin de la Direction des Études et Recherches. Série C 5 Computer Methods in Applied Mechanics and Engineering 3 SIAM Journal on Numerical Analysis 2 International Journal for Numerical Methods in Engineering 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 IMA Journal of Applied Mathematics 1 Control and Cybernetics 1 Integral Equations and Operator Theory 1 Mathematics and Computers in Simulation 1 Meccanica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 European Journal of Mechanics. B. Fluids 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Matemática Aplicada e Computacional 1 Advances in Mathematical Sciences and Applications 1 International Journal of Numerical Modelling 1 Computational Geosciences 1 Mathématiques & Applications (Berlin) 1 Discrete and Continuous Dynamical Systems. Series S
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### Fields

 46 Optics, electromagnetic theory (78-XX) 41 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

49 Publications have been cited 482 times in 396 Documents Cited by Year
Computational electromagnetism. Variational formulations, complementarity, edge elements. Zbl 0945.78001
Bossavit, Alain
1998
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
2009
Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry. Zbl 0578.73072
Bossavit, A.
1986
Discretization of electromagnetic problems: the “generalized finite differences” approach. Zbl 1109.78001
Bossavit, Alain
2005
The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association. Zbl 0725.65112
Bossavit, A.
1991
Yee-like schemes on a tetrahedral mesh, with diagonal lumping. Zbl 0936.78011
Bossavit, A.; Kettunen, L.
1999
Boundary value problems with symmetry and their approximation by finite elements. Zbl 0789.65085
Bossavit, Alain
1993
Modelling of periodic electromagnetic structures bianisotropic materials with memory effects. Zbl 1078.35120
Bossavit, Alain; Griso, Georges; Miara, Bernadette
2005
Electromagnetism, in view of modeling. (Électromagnétisme, en vue de la modélisation.) Zbl 0787.65090
Bossavit, Alain
1993
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
2003
Most general ”non-local” boundary conditions for the Maxwell equation in a bounded region. Zbl 0966.78002
Bossavit, A.
2000
Differential forms and the computation of fields and forces in electromagnetism. Zbl 0741.76088
Bossavit, A.
1991
Formulation of the eddy current problem in multiply connected regions in terms of $$h$$. Zbl 0902.65075
Kettunen, Lauri; Forsman, Kimmo; Bossavit, Alain
1998
Mixed methods and the marriage between ”mixed” finite elements and boundary elements. Zbl 0744.65086
Bossavit, Alain
1991
A new viewpoint on mixed elements. Zbl 0778.65078
Bossavit, A.
1992
On the electromagnetic “induction heating” problem in bounded domains. Zbl 0813.35120
Bossavit, Alain; Rodrigues, José-Francisco
1994
Free boundary problems: Applications and theory. Volumes III, IV. (Proceedings of the International Colloquium: ‘Problèmes à Frontières Libres. Applications et Théorie’, held in Maubuisson, France, June 7–16, 1984). Zbl 0578.35003
1985
Extrusion, contraction: Their discretization via Whitney forms. Zbl 1161.76602
Bossavit, Alain
2003
Homogenization of the Stefan problem and application to magnetic composite media. Zbl 0468.35053
Bossavit, A.; Damlamian, A.
1981
A uniform rationale for Whitney forms on various supporting shapes. Zbl 1196.78024
Bossavit, A.
2010
On the Lorentz gauge. Zbl 0946.78002
Bossavit, Alain
1999
On the condition ’h normal to the wall’ in magnetic field problems. Zbl 0616.65125
Bossavit, Alain
1987
Simplicial finite elements for scattering problems in electromagnetism. Zbl 0688.73076
Bossavit, Alain
1989
Mixed finite elements and the complex of Withney forms. Zbl 0692.65053
Bossavit, A.
1988
The Sommerville mesh in Yee-like schemes. Zbl 1170.78319
Bossavit, Alain
2004
“Hybrid” electric-magnetic methods in eddy-current problems. Zbl 1059.78508
Bossavit, A.
1999
Nodal and mixed finite elements for the numerical homogenization of 3D permeability. Zbl 0978.86003
Trykozko, Anna; Zijl, Wouter; Bossavit, Alain
2001
On the computation of strains and stresses in symmetrical articulated structures. Zbl 0791.65027
Bossavit, A.
1993
Modelling of periodic electromagnetic structures – bi-anisotropic materials with memory. (Modélisation de structures électromagnétiques périodiques – matériaux bianisotropes avec mémoire.) Zbl 1042.35079
Bossavit, Alain; Griso, Georges; Miara, Bernadette
2004
On the numerical analysis of eddy-current problems. Zbl 0471.65080
Bossavit, Alain
1981
Free boundaries in induction heating. Zbl 0615.35086
Bossavit, A.
1985
Calcul des courants induits et des forces électromagnétiques dans un système de conducteurs mobiles. (Computation of eddy-currents and Lorentz forces in a system of moving conductors). Zbl 0673.65084
Bossavit, A.
1989
On the homogenization of Maxwell equations. Zbl 0850.35120
Bossavit, Alain
1995
Stefan models for eddy currents in steel. Zbl 0506.65044
Bossavit, A.
1983
The discrete Hodge operator in electromagnetic wave propagation problems. Zbl 0962.78017
Bossavit, Alain
2000
A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108
Bossavit, Alain; Rapetti, Francesca
2005
Approximation des problèmes de contrôle optimal. Zbl 0264.49027
Bensoussan, A.; Bossavit, A.; Nedelec, J. C.
1970
Virtual power principle and Maxwell’s tensor: which comes first? Zbl 1358.78014
Bossavit, Alain
2011
Stiff problems and boundary layers in electricity: A mathematical analysis of skin-effect. Zbl 0674.35004
Bossavit, A.
1986
Solution of TEAM workshop problem 12 (a cantilevered beam in a crossed field) using the Trifou code. Zbl 0723.65128
Cahouet, J.; Blanchet, D.; Bossavit, A.
1990
Mixed methods for a vectorial Stefan problem. Zbl 0724.65118
Bossavit, A.
1990
On finite elements for the electric equation. Zbl 0541.73139
Bossavit, A.
1982
Eddy-currents in a system of moving conductors. Zbl 0551.73094
Bossavit, A.
1984
Modelling superconductors with Bean’s model, in dimension 2: Stefan’s problem, again. Zbl 0832.35152
Bossavit, A.
1994
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
2002
Calcul vectoriel et parallèle. Actes du $$1^{er}$$ Colloque International sur les Méthodes Vectorielles et Parallèles en Calcul Scientifique, Paris, 17-18 mars 1983. Zbl 0586.68004
1983
Whitney forms, from manifolds to fields. Zbl 1282.65147
Bossavit, Alain; Rapetti, Francesca
2014
Approximation régularisée d’un problème aux limites non homogène. Zbl 0204.48403
Bossavit, A.
1969
A linear control problem for a system governed by a partial differential equation. (Approximation and computational results.). Zbl 0239.49003
Bossavit, A.
1969
Whitney forms, from manifolds to fields. Zbl 1282.65147
Bossavit, Alain; Rapetti, Francesca
2014
Virtual power principle and Maxwell’s tensor: which comes first? Zbl 1358.78014
Bossavit, Alain
2011
A uniform rationale for Whitney forms on various supporting shapes. Zbl 1196.78024
Bossavit, A.
2010
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
2009
Discretization of electromagnetic problems: the “generalized finite differences” approach. Zbl 1109.78001
Bossavit, Alain
2005
Modelling of periodic electromagnetic structures bianisotropic materials with memory effects. Zbl 1078.35120
Bossavit, Alain; Griso, Georges; Miara, Bernadette
2005
A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108
Bossavit, Alain; Rapetti, Francesca
2005
The Sommerville mesh in Yee-like schemes. Zbl 1170.78319
Bossavit, Alain
2004
Modelling of periodic electromagnetic structures – bi-anisotropic materials with memory. (Modélisation de structures électromagnétiques périodiques – matériaux bianisotropes avec mémoire.) Zbl 1042.35079
Bossavit, Alain; Griso, Georges; Miara, Bernadette
2004
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
2003
Extrusion, contraction: Their discretization via Whitney forms. Zbl 1161.76602
Bossavit, Alain
2003
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
2002
Nodal and mixed finite elements for the numerical homogenization of 3D permeability. Zbl 0978.86003
Trykozko, Anna; Zijl, Wouter; Bossavit, Alain
2001
Most general ”non-local” boundary conditions for the Maxwell equation in a bounded region. Zbl 0966.78002
Bossavit, A.
2000
The discrete Hodge operator in electromagnetic wave propagation problems. Zbl 0962.78017
Bossavit, Alain
2000
Yee-like schemes on a tetrahedral mesh, with diagonal lumping. Zbl 0936.78011
Bossavit, A.; Kettunen, L.
1999
On the Lorentz gauge. Zbl 0946.78002
Bossavit, Alain
1999
“Hybrid” electric-magnetic methods in eddy-current problems. Zbl 1059.78508
Bossavit, A.
1999
Computational electromagnetism. Variational formulations, complementarity, edge elements. Zbl 0945.78001
Bossavit, Alain
1998
Formulation of the eddy current problem in multiply connected regions in terms of $$h$$. Zbl 0902.65075
Kettunen, Lauri; Forsman, Kimmo; Bossavit, Alain
1998
On the homogenization of Maxwell equations. Zbl 0850.35120
Bossavit, Alain
1995
On the electromagnetic “induction heating” problem in bounded domains. Zbl 0813.35120
Bossavit, Alain; Rodrigues, José-Francisco
1994
Modelling superconductors with Bean’s model, in dimension 2: Stefan’s problem, again. Zbl 0832.35152
Bossavit, A.
1994
Boundary value problems with symmetry and their approximation by finite elements. Zbl 0789.65085
Bossavit, Alain
1993
Electromagnetism, in view of modeling. (Électromagnétisme, en vue de la modélisation.) Zbl 0787.65090
Bossavit, Alain
1993
On the computation of strains and stresses in symmetrical articulated structures. Zbl 0791.65027
Bossavit, A.
1993
A new viewpoint on mixed elements. Zbl 0778.65078
Bossavit, A.
1992
The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association. Zbl 0725.65112
Bossavit, A.
1991
Differential forms and the computation of fields and forces in electromagnetism. Zbl 0741.76088
Bossavit, A.
1991
Mixed methods and the marriage between ”mixed” finite elements and boundary elements. Zbl 0744.65086
Bossavit, Alain
1991
Solution of TEAM workshop problem 12 (a cantilevered beam in a crossed field) using the Trifou code. Zbl 0723.65128
Cahouet, J.; Blanchet, D.; Bossavit, A.
1990
Mixed methods for a vectorial Stefan problem. Zbl 0724.65118
Bossavit, A.
1990
Simplicial finite elements for scattering problems in electromagnetism. Zbl 0688.73076
Bossavit, Alain
1989
Calcul des courants induits et des forces électromagnétiques dans un système de conducteurs mobiles. (Computation of eddy-currents and Lorentz forces in a system of moving conductors). Zbl 0673.65084
Bossavit, A.
1989
Mixed finite elements and the complex of Withney forms. Zbl 0692.65053
Bossavit, A.
1988
On the condition ’h normal to the wall’ in magnetic field problems. Zbl 0616.65125
Bossavit, Alain
1987
Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry. Zbl 0578.73072
Bossavit, A.
1986
Stiff problems and boundary layers in electricity: A mathematical analysis of skin-effect. Zbl 0674.35004
Bossavit, A.
1986
Free boundary problems: Applications and theory. Volumes III, IV. (Proceedings of the International Colloquium: ‘Problèmes à Frontières Libres. Applications et Théorie’, held in Maubuisson, France, June 7–16, 1984). Zbl 0578.35003
1985
Free boundaries in induction heating. Zbl 0615.35086
Bossavit, A.
1985
Eddy-currents in a system of moving conductors. Zbl 0551.73094
Bossavit, A.
1984
Stefan models for eddy currents in steel. Zbl 0506.65044
Bossavit, A.
1983
Calcul vectoriel et parallèle. Actes du $$1^{er}$$ Colloque International sur les Méthodes Vectorielles et Parallèles en Calcul Scientifique, Paris, 17-18 mars 1983. Zbl 0586.68004
1983
On finite elements for the electric equation. Zbl 0541.73139
Bossavit, A.
1982
Homogenization of the Stefan problem and application to magnetic composite media. Zbl 0468.35053
Bossavit, A.; Damlamian, A.
1981
On the numerical analysis of eddy-current problems. Zbl 0471.65080
Bossavit, Alain
1981
Approximation des problèmes de contrôle optimal. Zbl 0264.49027
Bensoussan, A.; Bossavit, A.; Nedelec, J. C.
1970
Approximation régularisée d’un problème aux limites non homogène. Zbl 0204.48403
Bossavit, A.
1969
A linear control problem for a system governed by a partial differential equation. (Approximation and computational results.). Zbl 0239.49003
Bossavit, A.
1969
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### Cited by 598 Authors

 20 Rapetti, Francesca 12 Kettunen, Lauri 12 Schöps, Sebastian 11 Bermúdez, Alfredo 11 Specogna, Ruben 10 Alonso Rodríguez, Ana 10 Desbrun, Mathieu 9 Bossavit, Alain 9 Hiptmair, Ralf 9 Rodríguez, Rodolfo 8 De Gersem, Herbert 8 Salgado, Pilar 8 Trevisan, Francesco 8 Valli, Alberto 7 Duan, Huoyuan 7 Guermond, Jean-Luc 7 Tan, Roger C. E. 6 Hu, Kaibo 6 Li, Jichun 6 Slodička, Marián 5 Boyd, John Philip 5 Christiansen, Snorre Harald 5 Codecasa, Lorenzo 5 Marsden, Jerrold Eldon 5 Mullen, Patrick 5 Suuriniemi, Saku 5 Teixeira, Fernando L. 5 Xu, Jinchao 4 Aramaki, Junichi 4 Bonazzoli, Marcella 4 Buffa, Annalisa 4 Cao, Liqun 4 Geuzaine, Christophe A. 4 Griso, Georges 4 Kang, Tong 4 Kurz, Stefan 4 Léorat, Jacques 4 Mönkölä, Sanna 4 Nicaise, Serge 4 Nore, Caroline 4 Räbinä, Jukka 4 Rossi, Tuomo 4 Sonnendrücker, Eric 4 Stephan, Ernst Peter 4 Tong, Yiying 4 Visintin, Augusto 3 Acevedo, Ramiro 3 Aimi, Alessandra 3 Azaïez, Mejdi 3 Banks, Harvey Thomas 3 Bokil, Vrushali A. 3 Campos Pinto, Martin 3 Casper, Thorben 3 Cortes Garcia, Idoia 3 Cyr, Eric C. 3 Diligenti, Mauro 3 Dłotko, Paweł 3 Dular, Patrick 3 Gerritsma, Marc I. 3 Ghiloni, Riccardo 3 Gómez, Dolores 3 Hömberg, Dietmar 3 Kim, Kwang Ik 3 Ledger, Paul David 3 Leydecker, Florian 3 Li, Shan 3 Licht, Martin Werner 3 Lin, Ping 3 Lohi, Jonni 3 López-Rodríguez, Bibiana 3 Maday, Yvon 3 Maischak, Matthias 3 Maschke, Bernhard M. 3 Meddahi, Salim 3 Miara, Bernadette 3 Monk, Peter B. 3 Pavlov, Dmitry V. 3 Phillips, Edward G. 3 Pitassi, Silvano 3 Tortorelli, Daniel A. 3 van der Schaft, Arjan J. 3 Vandewalle, Stefan G. 3 Wang, Junping 3 Yousept, Irwin 3 Zaglmayr, Sabine 3 Zhang, Shangyou 3 Zhang, Yongwei 3 Zheng, Weiying 2 Åhlander, Krister 2 Ahusborde, Etienne 2 Ainsworth, Mark 2 Baňas, Ľubomír 2 Ben Belgacem, Faker 2 Bernardi, Christine 2 Beuchler, Sven 2 Bochev, Pavel B. 2 Boonen, Tim J. 2 Bottauscio, Oriano 2 Bramble, James H. 2 Budninskiy, Max ...and 498 more Authors
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### Cited in 115 Serials

 50 Journal of Computational Physics 28 Computer Methods in Applied Mechanics and Engineering 18 Mathematics of Computation 18 Journal of Computational and Applied Mathematics 14 Numerische Mathematik 13 Computers & Mathematics with Applications 13 Applied Mathematics and Computation 13 COMPEL 11 Applied Numerical Mathematics 8 Journal of Mathematical Analysis and Applications 8 Journal of Scientific Computing 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Mathematical Methods in the Applied Sciences 5 International Journal for Numerical Methods in Engineering 5 Numerical Algorithms 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 BIT 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Inverse Problems 3 Journal of Mathematical Physics 3 Computing 3 Applied Mathematical Modelling 3 Foundations of Computational Mathematics 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Physics Letters. A 2 Automatica 2 Calcolo 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Applied Mathematics Letters 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Numerical Linear Algebra with Applications 2 Advances in Applied Clifford Algebras 2 Advances in Computational Mathematics 2 International Journal of Numerical Modelling 2 Engineering Computations 2 Nonlinear Analysis. Real World Applications 2 Communications on Pure and Applied Analysis 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 International Journal of General Systems 1 International Journal for Numerical Methods in Fluids 1 Journal of the Mechanics and Physics of Solids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Meccanica 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Systems & Control Letters 1 Computer Aided Geometric Design 1 ACM Transactions on Graphics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Neural Networks 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Computational Geometry 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Expositiones Mathematicae 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Applied and Computational Harmonic Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Inverse and Ill-Posed Problems 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Computational Geosciences 1 Archives of Computational Methods in Engineering ...and 15 more Serials
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### Cited in 44 Fields

 246 Numerical analysis (65-XX) 199 Optics, electromagnetic theory (78-XX) 163 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 31 Mechanics of deformable solids (74-XX) 25 Global analysis, analysis on manifolds (58-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Classical thermodynamics, heat transfer (80-XX) 10 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 6 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Information and communication theory, circuits (94-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)