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Author ID: casas.fernando Recent zbMATH articles by "Casas, Fernando"
Published as: Casas, Fernando; Casas, F.

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 731 times in 449 Documents Cited by Year
A concise introduction to geometric numerical integration. Zbl 1343.65146
Blanes, Sergio; Casas, Fernando
87
2016
Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
40
1998
Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276
Blanes, Sergio; Casas, Fernando; Murua, Ander
38
2008
New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007
Blanes, S.; Casas, F.; Farrés, A.; Laskar, J.; Makazaga, J.; Murua, A.
38
2013
On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097
Blanes, Sergio; Casas, Fernando
37
2005
Efficient computation of the Zassenhaus formula. Zbl 1318.17001
Casas, Fernando; Murua, Ander; Nadinic, Mladen
30
2012
High order optimized geometric integrators for linear differential equations. Zbl 1008.65045
Blanes, S.; Casas, F.; Ros, J.
29
2002
Improved high order integrators based on the Magnus expansion. Zbl 0962.65102
Blanes, S.; Casas, F.; Ros, J.
28
2000
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
28
2013
An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications. Zbl 1202.17004
Casas, Fernando; Murua, Ander
25
2009
On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005
Blanes, Sergio; Casas, Fernando
23
2004
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060
Casas, Fernando; Iserles, Arieh
20
2006
High-order Hamiltonian splitting for the Vlasov-Poisson equations. Zbl 1369.37083
Casas, Fernando; Crouseilles, Nicolas; Faou, Erwan; Mehrenberger, Michel
20
2017
Symplectic integration with processing: A general study. Zbl 0951.65140
Blanes, S.; Casas, F.; Ros, J.
18
1999
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
18
2014
Sufficient conditions for the convergence of the Magnus expansion. Zbl 1131.34008
Casas, Fernando
15
2007
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
15
2017
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Zbl 1427.65286
Hajiketabi, M.; Abbasbandy, S.; Casas, F.
15
2018
A pedagogical approach to the Magnus expansion. Zbl 1206.81041
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
14
2010
Extrapolation of symplectic integrators. Zbl 0962.65101
Blanes, S.; Casas, F.; Ros, J.
12
1999
Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083
Blanes, S.; Casas, F.
12
2006
Composition methods for differential equations with processing. Zbl 1103.65079
Blanes, S.; Casas, F.; Murua, A.
12
2006
Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013
Blanes, S.; Casas, F.; Ros, J.
11
2000
On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075
Blanes, S.; Casas, F.; Murua, A.
10
2004
On the linear stability of splitting methods. Zbl 1152.65087
Blanes, Sergio; Casas, Fernando; Murua, Ander
10
2008
Splitting methods for non-autonomous linear systems. Zbl 1121.65081
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2007
Cost efficient Lie group integrators in the RKMK class. Zbl 1047.65053
Casas, F.; Owren, B.
8
2003
Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2012
Splitting methods with complex coefficients. Zbl 1242.65129
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
2010
Floquet theory: Exponential perturbative treatment. Zbl 0984.34046
Casas, F.; Oteo, J. A.; Ros, J.
6
2001
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
6
2001
Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique
6
2018
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
6
2022
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type. Zbl 1462.65128
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
6
2018
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393
Blanes, Sergio; Casas, Fernando; Murua, Ander
5
2015
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 1484.65146
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong
5
2021
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
5
2019
New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119
Blanes, S.; Casas, F.; Ros, J.
4
2001
Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070
Blanes, Sergio; Casas, Fernando
4
2005
Solution of linear partial differential equations by Lie algebraic methods. Zbl 0871.35021
Casas, Fernando
4
1996
Unitary transformations depending on a small parameter. Zbl 1364.81126
Casas, F.; Oteo, J. A.; Ros, J.
4
2012
Splitting methods for rotations: application to Vlasov equations. Zbl 1432.65133
Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas
4
2020
New analytic approximations based on the Magnus expansion. Zbl 1231.81033
Sánchez, S.; Casas, F.; Fernández, A.
3
2011
Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2011
Numerical integration methods for the double-bracket flow. Zbl 1085.65057
Casas, Fernando
3
2004
Lie algebraic approach to Fer’s expansion for classical Hamiltonian systems. Zbl 0752.58009
Casas, F.; Oteo, J. A.; Ros, J.
3
1991
Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Ponsoda, Enrique
3
2016
On symmetric-conjugate composition methods in the numerical integration of differential equations. Zbl 1520.65049
Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A.
3
2022
Splitting and composition methods with embedded error estimators. Zbl 1436.65080
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
3
2019
Variation of the action in the classical time-dependent harmonic oscillator: An exact result. Zbl 0772.70017
Casas, F.; Oteo, J. A.; Ros, J.
2
1993
Fer’s factorization as a symplectic integrator. Zbl 0862.65042
Casas, F.
2
1996
Extrapolation in Lie groups with approximated BCH-formula. Zbl 1008.65044
Wensch, Jörg; Casas, Fernando
2
2002
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Zbl 1433.65032
Hajiketabi, M.; Casas, F.
2
2020
On the structure and convergence of the symmetric Zassenhaus formula. Zbl 1411.17003
Arnal, Ana; Casas, Fernando; Chiralt, Cristina
2
2017
Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild
2
2023
Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando
2
2021
A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators. Zbl 1484.22014
Arnal, Ana; Casas, Fernando; Chiralt, Cristina
2
2021
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
2
2019
On time-dependent perturbation theory in matrix mechanics and time averaging. Zbl 1332.81063
Casas, Fernando
1
2015
High order integrators obtained by linear combinations of symmetric-conjugate compositions. Zbl 1510.65313
Casas, F.; Escorihuela-Tomàs, A.
1
2022
Symplectic propagators for the Kepler problem with time-dependent mass. Zbl 1451.70035
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
1
2019
A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients. Zbl 1283.34011
Casas, Fernando; Chiralt, Cristina
1
2014
Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102
Blanes, S.; Casas, F.; Escorihuela-Tomàs, A.
1
2022
Split Hamiltonian Monte Carlo revisited. Zbl 1496.62006
Casas, Fernando; Sanz-Serna, Jesús María; Shaw, Luke
1
2022
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Zbl 07478804
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Seydaoğlu, Muaz
1
2022
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. Zbl 1487.65006
Blanes, S.; Calvo, M. P.; Casas, F.; Sanz-Serna, J. M.
1
2021
Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild
2
2023
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
6
2022
On symmetric-conjugate composition methods in the numerical integration of differential equations. Zbl 1520.65049
Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A.
3
2022
High order integrators obtained by linear combinations of symmetric-conjugate compositions. Zbl 1510.65313
Casas, F.; Escorihuela-Tomàs, A.
1
2022
Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102
Blanes, S.; Casas, F.; Escorihuela-Tomàs, A.
1
2022
Split Hamiltonian Monte Carlo revisited. Zbl 1496.62006
Casas, Fernando; Sanz-Serna, Jesús María; Shaw, Luke
1
2022
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Zbl 07478804
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Seydaoğlu, Muaz
1
2022
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 1484.65146
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong
5
2021
Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando
2
2021
A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators. Zbl 1484.22014
Arnal, Ana; Casas, Fernando; Chiralt, Cristina
2
2021
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. Zbl 1487.65006
Blanes, S.; Calvo, M. P.; Casas, F.; Sanz-Serna, J. M.
1
2021
Splitting methods for rotations: application to Vlasov equations. Zbl 1432.65133
Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas
4
2020
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Zbl 1433.65032
Hajiketabi, M.; Casas, F.
2
2020
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
5
2019
Splitting and composition methods with embedded error estimators. Zbl 1436.65080
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
3
2019
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
2
2019
Symplectic propagators for the Kepler problem with time-dependent mass. Zbl 1451.70035
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
1
2019
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Zbl 1427.65286
Hajiketabi, M.; Abbasbandy, S.; Casas, F.
15
2018
Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique
6
2018
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type. Zbl 1462.65128
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
6
2018
High-order Hamiltonian splitting for the Vlasov-Poisson equations. Zbl 1369.37083
Casas, Fernando; Crouseilles, Nicolas; Faou, Erwan; Mehrenberger, Michel
20
2017
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
15
2017
On the structure and convergence of the symmetric Zassenhaus formula. Zbl 1411.17003
Arnal, Ana; Casas, Fernando; Chiralt, Cristina
2
2017
A concise introduction to geometric numerical integration. Zbl 1343.65146
Blanes, Sergio; Casas, Fernando
87
2016
Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Ponsoda, Enrique
3
2016
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393
Blanes, Sergio; Casas, Fernando; Murua, Ander
5
2015
On time-dependent perturbation theory in matrix mechanics and time averaging. Zbl 1332.81063
Casas, Fernando
1
2015
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
18
2014
A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients. Zbl 1283.34011
Casas, Fernando; Chiralt, Cristina
1
2014
New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007
Blanes, S.; Casas, F.; Farrés, A.; Laskar, J.; Makazaga, J.; Murua, A.
38
2013
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
28
2013
Efficient computation of the Zassenhaus formula. Zbl 1318.17001
Casas, Fernando; Murua, Ander; Nadinic, Mladen
30
2012
Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2012
Unitary transformations depending on a small parameter. Zbl 1364.81126
Casas, F.; Oteo, J. A.; Ros, J.
4
2012
New analytic approximations based on the Magnus expansion. Zbl 1231.81033
Sánchez, S.; Casas, F.; Fernández, A.
3
2011
Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2011
A pedagogical approach to the Magnus expansion. Zbl 1206.81041
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
14
2010
Splitting methods with complex coefficients. Zbl 1242.65129
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
2010
An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications. Zbl 1202.17004
Casas, Fernando; Murua, Ander
25
2009
Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276
Blanes, Sergio; Casas, Fernando; Murua, Ander
38
2008
On the linear stability of splitting methods. Zbl 1152.65087
Blanes, Sergio; Casas, Fernando; Murua, Ander
10
2008
Sufficient conditions for the convergence of the Magnus expansion. Zbl 1131.34008
Casas, Fernando
15
2007
Splitting methods for non-autonomous linear systems. Zbl 1121.65081
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2007
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060
Casas, Fernando; Iserles, Arieh
20
2006
Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083
Blanes, S.; Casas, F.
12
2006
Composition methods for differential equations with processing. Zbl 1103.65079
Blanes, S.; Casas, F.; Murua, A.
12
2006
On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097
Blanes, Sergio; Casas, Fernando
37
2005
Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070
Blanes, Sergio; Casas, Fernando
4
2005
On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005
Blanes, Sergio; Casas, Fernando
23
2004
On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075
Blanes, S.; Casas, F.; Murua, A.
10
2004
Numerical integration methods for the double-bracket flow. Zbl 1085.65057
Casas, Fernando
3
2004
Cost efficient Lie group integrators in the RKMK class. Zbl 1047.65053
Casas, F.; Owren, B.
8
2003
High order optimized geometric integrators for linear differential equations. Zbl 1008.65045
Blanes, S.; Casas, F.; Ros, J.
29
2002
Extrapolation in Lie groups with approximated BCH-formula. Zbl 1008.65044
Wensch, Jörg; Casas, Fernando
2
2002
Floquet theory: Exponential perturbative treatment. Zbl 0984.34046
Casas, F.; Oteo, J. A.; Ros, J.
6
2001
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
6
2001
New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119
Blanes, S.; Casas, F.; Ros, J.
4
2001
Improved high order integrators based on the Magnus expansion. Zbl 0962.65102
Blanes, S.; Casas, F.; Ros, J.
28
2000
Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013
Blanes, S.; Casas, F.; Ros, J.
11
2000
Symplectic integration with processing: A general study. Zbl 0951.65140
Blanes, S.; Casas, F.; Ros, J.
18
1999
Extrapolation of symplectic integrators. Zbl 0962.65101
Blanes, S.; Casas, F.; Ros, J.
12
1999
Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
40
1998
Solution of linear partial differential equations by Lie algebraic methods. Zbl 0871.35021
Casas, Fernando
4
1996
Fer’s factorization as a symplectic integrator. Zbl 0862.65042
Casas, F.
2
1996
Variation of the action in the classical time-dependent harmonic oscillator: An exact result. Zbl 0772.70017
Casas, F.; Oteo, J. A.; Ros, J.
2
1993
Lie algebraic approach to Fer’s expansion for classical Hamiltonian systems. Zbl 0752.58009
Casas, F.; Oteo, J. A.; Ros, J.
3
1991
all top 5

Cited by 646 Authors

47 Blanes, Sergio
47 Casas, Fernando
15 Sanz-Serna, Jesús María
13 Murua, Ander
12 Bader, Philipp
11 Koch, Othmar
11 Thalhammer, Mechthild
9 Auzinger, Winfried
9 Iserles, Arieh
9 Seydaoğlu, Muaz
8 Chartier, Philippe
8 Crouseilles, Nicolas
8 Einkemmer, Lukas
8 Hofstätter, Harald
7 Geiser, Jürgen
7 Kropielnicka, Karolina
7 Ostermann, Alexander
7 Ponsoda, Enrique
6 Arnal, Ana
6 Bernier, Joackim
6 Celledoni, Elena
6 Chiralt, Cristina
6 Diele, Fasma
6 Escorihuela-Tomàs, Alejandro
6 McLachlan, Robert I.
6 Singh, Pranav
5 Marangi, Carmela
5 Martín de Diego, David
5 Moan, Per Christian
4 Bréhier, Charles-Edouard
4 Ebrahimi-Fard, Kurusch
4 González, Cesáreo
4 Hansen, Eskil
4 He, Yang
4 Jackaman, James
4 Leok, Melvin
4 Liu, Kai
4 Mehrenberger, Michel
4 Owren, Brynjulf
4 Portillo, A. M.
4 Sheng, Qin
4 Sun, Yajuan
4 Tambue, Antoine
4 Vilmart, Gilles
3 Akhmatskaya, Elena
3 Anahory Simoes, Alexandre
3 Bonfiglioli, Andrea
3 Bou-Rabee, Nawaf M.
3 Brugnano, Luigi
3 Calvo, M. P.
3 Chin, Siu A.
3 Fernández-Sánchez, Jesús
3 Guo, Xiao
3 Iavernaro, Felice
3 Jarvis, Peter D.
3 Jódar Sanchez, Lucas Antonio
3 Kiselev, Sergey P.
3 Kopylov, Nikita
3 Li, Yingzhe
3 Liu, Jian
3 Manchon, Dominique
3 Mukam, Jean Daniel
3 Oteo, José Angel
3 Pozza, Stefano
3 Quell, Michael
3 Ragni, Stefania
3 Skokos, Charalampos Haris
3 Spiteri, Raymond J.
3 Sumner, Jeremy G.
3 Tao, Molei
3 Zanna, Antonella
2 Alamo, A.
2 Alonso-Mallo, Isaías
2 Antoñana, Mikel
2 Besse, Christophe
2 Biagi, Stefano
2 Bihlo, Alexander
2 Böhle, Tobias
2 Campos, Cédric Martínez
2 Cervi, Jessica
2 Condon, Marissa
2 Dattoli, Giuseppe
2 Defez, Emilio
2 Descombes, Stéphane
2 Ding, Xiaohua
2 Dörsek, Philipp
2 Duruisseaux, Valentin
2 Ehigie, Julius Osato
2 Erdoğan, Utku
2 Faou, Erwan
2 Fernández-Pendás, Mario
2 Fu, Ting
2 Giscard, Pierre-Louis
2 Gotoh, Hitoshi
2 Gradinaru, Vasile
2 Hager, Paul P.
2 Hairer, Ernst
2 Herfort, Wolfgang N.
2 Hervás, Antonio
2 Hoffmann, Scott E.
...and 546 more Authors
all top 5

Cited in 145 Serials

43 Journal of Computational Physics
32 Journal of Computational and Applied Mathematics
23 Applied Numerical Mathematics
16 Computer Physics Communications
14 Journal of Mathematical Physics
14 Applied Mathematics and Computation
12 BIT
11 Foundations of Computational Mathematics
9 Celestial Mechanics and Dynamical Astronomy
9 Journal of Computational Dynamics
8 Mathematics of Computation
8 SIAM Journal on Numerical Analysis
8 Numerical Algorithms
8 SIAM Journal on Scientific Computing
7 Numerische Mathematik
7 Applied Mathematics Letters
7 International Journal of Computer Mathematics
7 Journal of Physics A: Mathematical and Theoretical
6 Computers & Mathematics with Applications
6 Applied Mathematical Modelling
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Physica D
4 Journal of Scientific Computing
4 Statistics and Computing
3 International Journal of Theoretical Physics
3 SIAM Journal on Matrix Analysis and Applications
3 Linear Algebra and its Applications
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Chemistry
3 Journal of High Energy Physics
3 Discrete and Continuous Dynamical Systems. Series B
3 Mediterranean Journal of Mathematics
3 Journal of Theoretical Biology
2 General Relativity and Gravitation
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Reviews in Mathematical Physics
2 Journal of Algebra
2 Mathematics and Computers in Simulation
2 Systems & Control Letters
2 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 Computational and Applied Mathematics
2 Optimization Methods & Software
2 New Journal of Physics
2 International Journal of Modern Physics C
2 Quantum Information Processing
2 Acta Numerica
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Communications in Computational Physics
2 Kinetic and Related Models
2 International Journal of Differential Equations
2 Forum of Mathematics, Sigma
2 Mathematics
2 International Journal of Applied and Computational Mathematics
1 Acta Mechanica
1 Advances in Applied Probability
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 European Journal of Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Nonlinearity
1 Physics Reports
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Geometriae Dedicata
1 Journal of the American Statistical Association
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Studies in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Bulletin of the Iranian Mathematical Society
1 Journal of Computational Mathematics
1 Journal of the Nigerian Mathematical Society
1 Journal of Complexity
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annals of Operations Research
1 The Annals of Applied Probability
1 Computational Mathematics and Mathematical Physics
1 Automation and Remote Control
1 Communications in Statistics. Simulation and Computation
1 SIAM Review
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
...and 45 more Serials
all top 5

Cited in 51 Fields

301 Numerical analysis (65-XX)
104 Partial differential equations (35-XX)
79 Ordinary differential equations (34-XX)
70 Dynamical systems and ergodic theory (37-XX)
59 Quantum theory (81-XX)
37 Mechanics of particles and systems (70-XX)
34 Probability theory and stochastic processes (60-XX)
29 Statistical mechanics, structure of matter (82-XX)
25 Nonassociative rings and algebras (17-XX)
19 Fluid mechanics (76-XX)
19 Biology and other natural sciences (92-XX)
13 Optics, electromagnetic theory (78-XX)
12 Topological groups, Lie groups (22-XX)
12 Operator theory (47-XX)
12 Mechanics of deformable solids (74-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Differential geometry (53-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Computer science (68-XX)
9 Systems theory; control (93-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Associative rings and algebras (16-XX)
7 Statistics (62-XX)
6 General and overarching topics; collections (00-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Approximations and expansions (41-XX)
5 Functional analysis (46-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Difference and functional equations (39-XX)
3 Integral equations (45-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Group theory and generalizations (20-XX)
2 Manifolds and cell complexes (57-XX)
2 Geophysics (86-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year