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Author ID: blanes.sergio Recent zbMATH articles by "Blanes, Sergio"
Published as: Blanes, Sergio; Blanes, S.

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 850 times in 469 Documents Cited by Year
A concise introduction to geometric numerical integration. Zbl 1343.65146
Blanes, Sergio; Casas, Fernando
87
2016
Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods. Zbl 1001.65078
Blanes, S.; Moan, P. C.
82
2002
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
Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems. Zbl 1103.65129
Blanes, S.; Moan, P. C.
35
2006
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
Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057
Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania
24
2010
On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005
Blanes, Sergio; Casas, Fernando
23
2004
Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025
Blanes, S.; Moan, P. C.
21
2000
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
Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125
Blanes, S.; Moan, P. C.
15
2001
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
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
High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125
Seydaoğlu, M.; Blanes, S.
11
2014
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
11
2012
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
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075
Blanes, S.; Ponsoda, E.
9
2012
Splitting methods for non-autonomous linear systems. Zbl 1121.65081
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2007
Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115
Blanes, S.; Budd, C. J.
8
2005
Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor. Zbl 1293.49074
Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique
8
2014
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
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
6
2001
Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020
Blanes, Sergio; Ponsoda, Enrique
6
2012
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
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
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
High order numerical integrators for differential equations using composition and processing of low order methods. Zbl 0988.65049
Blanes, Sergio
5
2001
Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095
Blanes, Sergio; Jódar, Lucas
5
1999
Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511
Blanes, S.; Jódar, L.; Ponsoda, E.
5
2000
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
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144
Blanes, Sergio
5
2015
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods. Zbl 1344.65063
Blanes, S.
5
2015
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
Symplectic integrators for the matrix Hill equation. Zbl 1372.65327
Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique; Seydaoğlu, Muaz
4
2017
The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097
Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz
4
2015
Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2011
New efficient numerical methods to describe the heat transfer in a solid medium. Zbl 1235.80047
Ponsoda, E.; Blanes, S.; Bader, P.
3
2011
Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320
Blanes, Sergio; Budd, Chris J.
3
2004
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
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030
Blanes, Sergio; Gradinaru, Vasile
3
2020
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
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
Time-average on the numerical integration of nonautonomous differential equations. Zbl 1398.65156
Blanes, Sergio
2
2018
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
On the construction of symmetric second order methods for ODEs. Zbl 1468.65079
Blanes, Sergio
2
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
Solving the pertubed quantum harmonic oscillator in imaginary time using splitting methods with complex coefficients. Zbl 1326.35301
Bader, Philipp; Blanes, Sergio
1
2015
Symplectic propagators for the Kepler problem with time-dependent mass. Zbl 1451.70035
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita
1
2019
Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102
Blanes, S.; Casas, F.; Escorihuela-Tomàs, A.
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
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
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
Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102
Blanes, S.; Casas, F.; Escorihuela-Tomàs, A.
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
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
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
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030
Blanes, Sergio; Gradinaru, Vasile
3
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
On the construction of symmetric second order methods for ODEs. Zbl 1468.65079
Blanes, Sergio
2
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
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
Time-average on the numerical integration of nonautonomous differential equations. Zbl 1398.65156
Blanes, Sergio
2
2018
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
Symplectic integrators for the matrix Hill equation. Zbl 1372.65327
Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique; Seydaoğlu, Muaz
4
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
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144
Blanes, Sergio
5
2015
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods. Zbl 1344.65063
Blanes, S.
5
2015
The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097
Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz
4
2015
Solving the pertubed quantum harmonic oscillator in imaginary time using splitting methods with complex coefficients. Zbl 1326.35301
Bader, Philipp; Blanes, Sergio
1
2015
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
18
2014
High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125
Seydaoğlu, M.; Blanes, S.
11
2014
Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor. Zbl 1293.49074
Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique
8
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
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
11
2012
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075
Blanes, S.; Ponsoda, E.
9
2012
Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2012
Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020
Blanes, Sergio; Ponsoda, Enrique
6
2012
Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2011
New efficient numerical methods to describe the heat transfer in a solid medium. Zbl 1235.80047
Ponsoda, E.; Blanes, S.; Bader, P.
3
2011
Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057
Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania
24
2010
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
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
Splitting methods for non-autonomous linear systems. Zbl 1121.65081
Blanes, Sergio; Casas, Fernando; Murua, Ander
8
2007
Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems. Zbl 1103.65129
Blanes, S.; Moan, P. C.
35
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
Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115
Blanes, S.; Budd, C. J.
8
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
Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320
Blanes, Sergio; Budd, Chris J.
3
2004
Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods. Zbl 1001.65078
Blanes, S.; Moan, P. C.
82
2002
High order optimized geometric integrators for linear differential equations. Zbl 1008.65045
Blanes, S.; Casas, F.; Ros, J.
29
2002
Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125
Blanes, S.; Moan, P. C.
15
2001
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
6
2001
High order numerical integrators for differential equations using composition and processing of low order methods. Zbl 0988.65049
Blanes, Sergio
5
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
Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025
Blanes, S.; Moan, P. C.
21
2000
Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013
Blanes, S.; Casas, F.; Ros, J.
11
2000
Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511
Blanes, S.; Jódar, L.; Ponsoda, E.
5
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
Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095
Blanes, Sergio; Jódar, Lucas
5
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
all top 5

Cited by 682 Authors

47 Blanes, Sergio
42 Casas, Fernando
19 Thalhammer, Mechthild
15 Koch, Othmar
15 Sanz-Serna, Jesús María
13 Murua, Ander
12 Auzinger, Winfried
11 Bader, Philipp
9 Chartier, Philippe
9 Hofstätter, Harald
9 Ponsoda, Enrique
8 Seydaoğlu, Muaz
7 Iserles, Arieh
6 Diele, Fasma
6 Escorihuela-Tomàs, Alejandro
6 Geiser, Jürgen
6 González, Cesáreo
6 Jódar Sanchez, Lucas Antonio
6 Kropielnicka, Karolina
6 McLachlan, Robert I.
6 Moan, Per Christian
6 Ostermann, Alexander
5 Bernier, Joackim
5 Celledoni, Elena
5 Crouseilles, Nicolas
5 Marangi, Carmela
5 Martín de Diego, David
5 Singh, Pranav
5 You, Xiong
4 Arnal, Ana
4 Bao, Weizhu
4 Bréhier, Charles-Edouard
4 Chin, Siu A.
4 Chiralt, Cristina
4 Defez, Emilio
4 Hansen, Eskil
4 Jackaman, James
4 Leok, Melvin
4 Liu, Kai
4 Owren, Brynjulf
4 Portillo, A. M.
4 Pozza, Stefano
4 Ragni, Stefania
4 Sheng, Qin
4 Spiteri, Raymond J.
4 Tang, Yifa
4 Vilmart, Gilles
4 Wu, Xinyuan
4 Zanna, Antonella
3 Akhmatskaya, Elena
3 Anahory Simoes, Alexandre
3 Antoñana, Mikel
3 Bonfiglioli, Andrea
3 Bou-Rabee, Nawaf M.
3 Brugnano, Luigi
3 Calvo, M. P.
3 Descombes, Stéphane
3 Ebrahimi-Fard, Kurusch
3 Fang, Yonglei
3 Fernández-Sánchez, Jesús
3 Giscard, Pierre-Louis
3 Gradinaru, Vasile
3 Guo, Xiao
3 Iavernaro, Felice
3 Ibáñez González, Jacinto Javier
3 Jarvis, Peter D.
3 Kiselev, Sergey P.
3 Kopylov, Nikita
3 Li, Haochen
3 Makazaga, Joseba
3 Mehrenberger, Michel
3 Munthe-Kaas, Hans Z.
3 Oteo, José Angel
3 Peng, Haijun
3 Quell, Michael
3 Shi, Wei
3 Simos, Theodore E.
3 Skokos, Charalampos Haris
3 Sumner, Jeremy G.
3 Tao, Molei
3 Tubikanec, Irene
3 Wang, Bin
3 Yin, Jia
3 Zhang, RuiLi
3 Zhu, Beibei
2 Ahmad, Junaid
2 Alamo, A.
2 Alonso-Mallo, Isaías
2 Alvermann, Andreas
2 Besse, Christophe
2 Biagi, Stefano
2 Bihlo, Alexander
2 Böhle, Tobias
2 Buckwar, Evelyn
2 Cai, Yongyong
2 Campos, Cédric Martínez
2 Cariñena, José F.
2 Castaño, Jorge I.
2 Cervi, Jessica
2 Christlieb, Andrew J.
...and 582 more Authors
all top 5

Cited in 136 Serials

41 Journal of Computational Physics
40 Journal of Computational and Applied Mathematics
28 Applied Numerical Mathematics
19 Computer Physics Communications
17 Applied Mathematics and Computation
16 BIT
12 SIAM Journal on Numerical Analysis
12 Numerical Algorithms
11 SIAM Journal on Scientific Computing
10 Journal of Mathematical Physics
10 Celestial Mechanics and Dynamical Astronomy
9 Computers & Mathematics with Applications
9 Foundations of Computational Mathematics
9 Journal of Computational Dynamics
8 Applied Mathematics Letters
8 Applied Mathematical Modelling
8 International Journal of Computer Mathematics
7 Mathematics of Computation
7 Numerische Mathematik
6 Journal of Scientific Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Physica D
4 Numerical Methods for Partial Differential Equations
4 Statistics and Computing
3 Journal of Mathematical Analysis and Applications
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 Linear Algebra and its Applications
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Chemistry
3 New Journal of Physics
3 Journal of Applied Mathematics
3 Acta Numerica
3 Journal of Physics A: Mathematical and Theoretical
3 Communications in Computational Physics
3 Journal of Theoretical Biology
2 General Relativity and Gravitation
2 International Journal of Theoretical Physics
2 Linear and Multilinear Algebra
2 Physics Reports
2 Reviews in Mathematical Physics
2 Calcolo
2 Systems & Control Letters
2 Computational Mechanics
2 SIAM Journal on Matrix Analysis and Applications
2 Journal of Nonlinear Science
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Optimization Methods & Software
2 Communications in Nonlinear Science and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
2 Multiscale Modeling & Simulation
2 Mediterranean Journal of Mathematics
2 International Journal of Applied and Computational Mathematics
2 AIMS Mathematics
1 Advances in Applied Probability
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 European Journal of Physics
1 International Journal of Control
1 Journal of Engineering Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Transport Theory and Statistical Physics
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Algebra
1 Journal of the American Statistical Association
1 Journal of Functional Analysis
1 Studies in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
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 European Journal of Applied Mathematics
1 Annals of Operations Research
1 Applications of Mathematics
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 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Electronic Journal of Probability
1 Mathematical Problems in Engineering
1 Multibody System Dynamics
1 Nonlinear Dynamics
...and 36 more Serials
all top 5

Cited in 46 Fields

356 Numerical analysis (65-XX)
128 Partial differential equations (35-XX)
80 Dynamical systems and ergodic theory (37-XX)
78 Ordinary differential equations (34-XX)
49 Quantum theory (81-XX)
39 Mechanics of particles and systems (70-XX)
28 Probability theory and stochastic processes (60-XX)
21 Biology and other natural sciences (92-XX)
19 Statistical mechanics, structure of matter (82-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
13 Nonassociative rings and algebras (17-XX)
13 Systems theory; control (93-XX)
12 Operator theory (47-XX)
12 Fluid mechanics (76-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Mechanics of deformable solids (74-XX)
11 Optics, electromagnetic theory (78-XX)
9 Topological groups, Lie groups (22-XX)
9 Computer science (68-XX)
8 Statistics (62-XX)
7 Approximations and expansions (41-XX)
7 Differential geometry (53-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General and overarching topics; collections (00-XX)
5 Associative rings and algebras (16-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
5 Operations research, mathematical programming (90-XX)
4 Combinatorics (05-XX)
3 History and biography (01-XX)
3 Integral equations (45-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Difference and functional equations (39-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Special functions (33-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 Information and communication theory, circuits (94-XX)

Citations by Year