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Chartier, Philippe

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Author ID: chartier.philippe Recent zbMATH articles by "Chartier, Philippe"
Published as: Chartier, Philippe; Chartier, P.; Chartier, Ph.
External Links: MGP
Documents Indexed: 59 Publications since 1993

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 483 times in 300 Documents Cited by Year
An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants. Zbl 1100.65115
Chartier, Philippe; Faou, Erwan; Murua, Ander
36
2006
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Zbl 1329.35277
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian
34
2015
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
34
2010
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
34
2009
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
24
2010
Pseudo-symplectic Runge-Kutta methods. Zbl 0916.65084
Aubry, A.; Chartier, P.
22
1998
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
21
2013
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
17
1997
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
17
1999
Numerical stroboscopic averaging for ODEs and DAEs. Zbl 1223.65063
Calvo, M. P.; Chartier, Ph.; Murua, A.; Sanz-Serna, J. M.
17
2011
Preserving first integrals and volume forms of additively split systems. Zbl 1118.65086
Chartier, Philippe; Murua, Ander
16
2007
Higher-order averaging, formal series and numerical integration. III: Error bounds. Zbl 1322.34057
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
16
2015
A formal series approach to averaging: exponentially small error estimates. Zbl 1246.34043
Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
15
2012
A parallel shooting technique for solving dissipative ODE’s. Zbl 0788.65079
Chartier, P.; Philippe, B.
14
1993
Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case. Zbl 1257.34031
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
14
2012
Numerical integrators based on modified differential equations. Zbl 1122.65059
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
14
2007
The effective order of singly-implicit Runge-Kutta methods. Zbl 0936.65089
Butcher, J. C.; Chartier, P.
12
1999
\(L\)-stable parallel one-block methods for ordinary differential equations. Zbl 0823.65072
Chartier, P.
12
1994
Multi-revolution composition methods for highly oscillatory differential equations. Zbl 1307.65100
Chartier, Philippe; Makazaga, Joseba; Murua, Ander; Vilmart, Gilles
11
2014
Stroboscopic averaging for the nonlinear Schrödinger equation. Zbl 1327.35016
Castella, F.; Chartier, Ph.; Méhats, F.; Murua, A.
11
2015
A generalization of singly-implicit Runge-Kutta methods. Zbl 0906.65076
Butcher, J. C.; Chartier, P.
10
1997
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Zbl 1344.35131
Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong
9
2016
An algebraic theory of order. Zbl 1229.05302
Chartier, Philippe; Murua, Ander
8
2009
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles
6
2020
A stroboscopic numerical method for highly oscillatory problems. Zbl 1246.65116
Paz Calvo, Mari; Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
5
2012
Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel
4
2005
Parallel general linear methods for stiff ordinary differential and differential algebraic equations. Zbl 0833.65073
Butcher, J. C.; Chartier, P.
4
1995
Post-projected Runge-Kutta methods for index-2 differential-algebraic equations. Zbl 1005.65079
Chan, R. P. K.; Chartier, P.; Murua, A.
4
2002
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. Zbl 1416.65388
Chartier, Philippe; Crouseilles, Nicolas; Zhao, Xiaofei
4
2018
Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior. Zbl 1457.65075
Chartier, Philippe; Mauser, Norbert J.; Méhats, Florian; Zhang, Yong
4
2016
An averaging technique for highly oscillatory Hamiltonian problems. Zbl 1197.65206
Castella, F.; Chartier, P.; Faou, E.
4
2009
A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations. Zbl 0854.65064
Chan, R. P. K.; Chartier, P.
3
1996
On the structure of errors for Radau IA methods applied to index-2 DAEs. Zbl 0879.65046
Aubry, A.; Chartier, P.
3
1996
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
3
2019
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Zbl 1380.34087
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian
3
2017
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type. Zbl 1421.65011
Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong
3
2017
The potential of parallel multi-value methods for the simulation of large real-life problems. Zbl 0946.65055
Chartier, P.
2
1998
A note on pseudo-symplectic Runge-Kutta methods. Zbl 0918.65055
Aubry, A.; Chartier, P.
2
1998
On improving the convergence of Radau IIA methods applied to index 2 DAEs. Zbl 0915.65081
Aubry, A.; Chartier, P.
2
1998
Raman laser: mathematical and numerical analysis of a model. Zbl 1078.78012
Castella, François; Chartier, Philippe; Faou, Erwan; Bayart, Dominique; Leplingard, Florence; Martinelli, Catherine
1
2004
Reversible methods of Runge-Kutta type for index-2 DAEs. Zbl 1067.65084
Chan, R. P. K.; Chartier, P.; Murua, A.
1
2004
Analysis of a Poisson system with boundary conditions. Zbl 1030.45006
Castella, François; Chartier, Philippe; Faou, Erwan
1
2003
Classification of high-order implicit Runge-Kutta methods. Zbl 0976.65065
Chan, R. P. K.; Chartier, P.
1
2000
A regular fast multipole method for geometric numerical integrations of Hamiltonian systems. Zbl 1186.65153
Chartier, P.; Darrigrand, E.; Faou, E.
1
2010
Geometric integrators for piecewise smooth Hamiltonian systems. Zbl 1145.65110
Chartier, Philippe; Faou, Erwan
1
2008
Erratum to: “Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case”. Zbl 1418.34097
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
1
2017
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
1
2020
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 07241275
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong
1
2021
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 07241275
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong
1
2021
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles
6
2020
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
1
2020
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei
3
2019
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. Zbl 1416.65388
Chartier, Philippe; Crouseilles, Nicolas; Zhao, Xiaofei
4
2018
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Zbl 1380.34087
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian
3
2017
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type. Zbl 1421.65011
Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong
3
2017
Erratum to: “Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case”. Zbl 1418.34097
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
1
2017
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Zbl 1344.35131
Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong
9
2016
Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior. Zbl 1457.65075
Chartier, Philippe; Mauser, Norbert J.; Méhats, Florian; Zhang, Yong
4
2016
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Zbl 1329.35277
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian
34
2015
Higher-order averaging, formal series and numerical integration. III: Error bounds. Zbl 1322.34057
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
16
2015
Stroboscopic averaging for the nonlinear Schrödinger equation. Zbl 1327.35016
Castella, F.; Chartier, Ph.; Méhats, F.; Murua, A.
11
2015
Multi-revolution composition methods for highly oscillatory differential equations. Zbl 1307.65100
Chartier, Philippe; Makazaga, Joseba; Murua, Ander; Vilmart, Gilles
11
2014
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
21
2013
A formal series approach to averaging: exponentially small error estimates. Zbl 1246.34043
Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
15
2012
Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case. Zbl 1257.34031
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
14
2012
A stroboscopic numerical method for highly oscillatory problems. Zbl 1246.65116
Paz Calvo, Mari; Chartier, Philippe; Murua, Ander; Sanz-Serna, Jesús María
5
2012
Numerical stroboscopic averaging for ODEs and DAEs. Zbl 1223.65063
Calvo, M. P.; Chartier, Ph.; Murua, A.; Sanz-Serna, J. M.
17
2011
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
34
2010
Higher-order averaging, formal series and numerical integration. I: B-series. Zbl 1211.34052
Chartier, P.; Murua, A.; Sanz-Serna, J. M.
24
2010
A regular fast multipole method for geometric numerical integrations of Hamiltonian systems. Zbl 1186.65153
Chartier, P.; Darrigrand, E.; Faou, E.
1
2010
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
34
2009
An algebraic theory of order. Zbl 1229.05302
Chartier, Philippe; Murua, Ander
8
2009
An averaging technique for highly oscillatory Hamiltonian problems. Zbl 1197.65206
Castella, F.; Chartier, P.; Faou, E.
4
2009
Geometric integrators for piecewise smooth Hamiltonian systems. Zbl 1145.65110
Chartier, Philippe; Faou, Erwan
1
2008
Preserving first integrals and volume forms of additively split systems. Zbl 1118.65086
Chartier, Philippe; Murua, Ander
16
2007
Numerical integrators based on modified differential equations. Zbl 1122.65059
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
14
2007
An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants. Zbl 1100.65115
Chartier, Philippe; Faou, Erwan; Murua, Ander
36
2006
Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel
4
2005
Raman laser: mathematical and numerical analysis of a model. Zbl 1078.78012
Castella, François; Chartier, Philippe; Faou, Erwan; Bayart, Dominique; Leplingard, Florence; Martinelli, Catherine
1
2004
Reversible methods of Runge-Kutta type for index-2 DAEs. Zbl 1067.65084
Chan, R. P. K.; Chartier, P.; Murua, A.
1
2004
Analysis of a Poisson system with boundary conditions. Zbl 1030.45006
Castella, François; Chartier, Philippe; Faou, Erwan
1
2003
Post-projected Runge-Kutta methods for index-2 differential-algebraic equations. Zbl 1005.65079
Chan, R. P. K.; Chartier, P.; Murua, A.
4
2002
Classification of high-order implicit Runge-Kutta methods. Zbl 0976.65065
Chan, R. P. K.; Chartier, P.
1
2000
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
17
1999
The effective order of singly-implicit Runge-Kutta methods. Zbl 0936.65089
Butcher, J. C.; Chartier, P.
12
1999
Pseudo-symplectic Runge-Kutta methods. Zbl 0916.65084
Aubry, A.; Chartier, P.
22
1998
The potential of parallel multi-value methods for the simulation of large real-life problems. Zbl 0946.65055
Chartier, P.
2
1998
A note on pseudo-symplectic Runge-Kutta methods. Zbl 0918.65055
Aubry, A.; Chartier, P.
2
1998
On improving the convergence of Radau IIA methods applied to index 2 DAEs. Zbl 0915.65081
Aubry, A.; Chartier, P.
2
1998
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
17
1997
A generalization of singly-implicit Runge-Kutta methods. Zbl 0906.65076
Butcher, J. C.; Chartier, P.
10
1997
A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations. Zbl 0854.65064
Chan, R. P. K.; Chartier, P.
3
1996
On the structure of errors for Radau IA methods applied to index-2 DAEs. Zbl 0879.65046
Aubry, A.; Chartier, P.
3
1996
Parallel general linear methods for stiff ordinary differential and differential algebraic equations. Zbl 0833.65073
Butcher, J. C.; Chartier, P.
4
1995
\(L\)-stable parallel one-block methods for ordinary differential equations. Zbl 0823.65072
Chartier, P.
12
1994
A parallel shooting technique for solving dissipative ODE’s. Zbl 0788.65079
Chartier, P.; Philippe, B.
14
1993
all top 5

Cited by 352 Authors

32 Chartier, Philippe
15 Butcher, John C.
15 Murua, Ander
14 Jackiewicz, Zdzislaw
14 Méhats, Florian
14 Zhao, Xiaofei
12 Lemou, Mohammed
11 Sanz-Serna, Jesús María
10 Crouseilles, Nicolas
8 Blanes, Sergio
7 Schratz, Katharina
7 Vilmart, Gilles
7 Wu, Xinyuan
6 Abdi, Ali
6 Ebrahimi-Fard, Kurusch
6 Faou, Erwan
6 Hairer, Ernst
6 Iavernaro, Felice
6 Koch, Othmar
6 Manchon, Dominique
6 McLachlan, Robert I.
6 Quispel, Gilles Reinout Willem
6 Thalhammer, Mechthild
6 Tian, Hongjiong
5 Auzinger, Winfried
5 Brugnano, Luigi
5 Casas, Fernando
5 Castella, François
5 Celledoni, Elena
5 Govorukhin, Vasily N.
5 Hojjati, Gholamreza
5 Montijano, Juan Ignacio
5 Palacián, Jesús F.
5 Rández, Luis
5 Yanguas, Patricia
4 Bao, Weizhu
4 Baumstark, Simon
4 Bogfjellmo, Geir
4 Cai, Yongyong
4 Calvo, Manuel
4 Li, Haochen
4 Munthe-Kaas, Hans Z.
4 Ostermann, Alexander
4 Owren, Brynjulf
4 Seydaoğlu, Muaz
4 Su, Chunmei
4 Wang, Bin
4 Zanna, Antonella
4 Zhang, Yong
3 Akinfenwa, Olusheye Aremu Akin
3 Bader, Philipp
3 Bruned, Yvain
3 Cárcamo-Díaz, Daniela
3 D’Ambrosio, Raffaele
3 De Martino, Giuseppe
3 Dikhaminjia, Nana
3 Falgout, Robert D.
3 Gander, Martin Jakob
3 Hairer, Martin
3 Hansen, Eskil
3 Iserles, Arieh
3 Izzo, Giuseppe
3 Jin, Shi
3 Laburta, María Pilar
3 Legoll, Frédéric
3 Li, Jiyong
3 Mazzia, Francesca
3 Paternoster, Beatrice
3 Rogava, Jemal L.
3 Sandu, Adrian
3 Schmeding, Alexander
3 Schroder, Jacob B.
3 Sun, Yajuan
3 Trigiante, Donato
3 Tsiklauri, Mikheil
3 Verdier, Olivier
3 Vidal, Claudio
3 Wang, Yushun
3 Xue, Huiyan
2 Abdulganiy, R. I.
2 Ahmad, Junaid
2 Alamo, A.
2 Attili, Basem S.
2 Bailleul, Ismaël F.
2 Besse, Christophe
2 Calvo, M. P.
2 Cancès, Eric
2 Cardone, Angelamaria
2 Chen, D. J. L.
2 Curry, Charles
2 Dahmen, Rafael
2 Einkemmer, Lukas
2 Erdoğan, Utku
2 Escorihuela-Tomàs, Alejandro
2 Fang, Yonglei
2 Feng, Yue
2 Gbikpi-Benissan, Guillaume
2 Habib, Yousaf
2 Hofstätter, Harald
2 Hong, Jialin
...and 252 more Authors
all top 5

Cited in 90 Serials

33 Applied Numerical Mathematics
23 Journal of Computational and Applied Mathematics
19 BIT
17 Journal of Computational Physics
16 Foundations of Computational Mathematics
12 Mathematics of Computation
12 Numerische Mathematik
12 Numerical Algorithms
11 Applied Mathematics and Computation
11 SIAM Journal on Numerical Analysis
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 SIAM Journal on Scientific Computing
5 Discrete and Continuous Dynamical Systems
5 Multiscale Modeling & Simulation
4 Computers & Mathematics with Applications
3 Mathematics and Computers in Simulation
3 Journal of Scientific Computing
3 International Journal of Computer Mathematics
3 Computational and Applied Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
2 Calcolo
2 Journal of Differential Equations
2 Bulletin of the Iranian Mathematical Society
2 Advances in Computational Mathematics
2 Optimization Methods & Software
2 Regular and Chaotic Dynamics
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series S
2 Axioms
1 International Journal for Numerical Methods in Fluids
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Computing
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Optimization Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Journal of the Nigerian Mathematical Society
1 Journal of Complexity
1 Computational Mechanics
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Linear Algebra and its Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 Journal of the Egyptian Mathematical Society
1 Georgian Mathematical Journal
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 European Journal of Mechanics. B. Fluids
1 Journal of the European Mathematical Society (JEMS)
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Mathematical Modelling and Analysis
1 Journal of Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 International Journal of Geometric Methods in Modern Physics
1 Oberwolfach Reports
1 Journal of Noncommutative Geometry
1 Kinetic and Related Models
1 Journal of Geometric Mechanics
1 Science China. Mathematics
1 Symmetry
1 Afrika Matematika
1 Numerical Algebra, Control and Optimization
1 S\(\vec{\text{e}}\)MA Journal
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Journal of Computational Dynamics
1 Mathematics
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Journal de l’École Polytechnique – Mathématiques
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applied Mathematics and Nonlinear Sciences
all top 5

Cited in 36 Fields

250 Numerical analysis (65-XX)
89 Ordinary differential equations (34-XX)
71 Partial differential equations (35-XX)
60 Dynamical systems and ergodic theory (37-XX)
23 Mechanics of particles and systems (70-XX)
22 Fluid mechanics (76-XX)
20 Probability theory and stochastic processes (60-XX)
17 Quantum theory (81-XX)
15 Statistical mechanics, structure of matter (82-XX)
13 Associative rings and algebras (16-XX)
11 Combinatorics (05-XX)
9 Mechanics of deformable solids (74-XX)
8 Optics, electromagnetic theory (78-XX)
5 Integral equations (45-XX)
5 Computer science (68-XX)
4 Biology and other natural sciences (92-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Topological groups, Lie groups (22-XX)
3 Approximations and expansions (41-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Systems theory; control (93-XX)
2 Abstract harmonic analysis (43-XX)
2 Differential geometry (53-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year