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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

59 Publications have been cited 682 times in 370 Documents Cited by Year
Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods. Zbl 1001.65078
Blanes, S.; Moan, P. C.
67
2002
A concise introduction to geometric numerical integration. Zbl 1343.65146
Blanes, Sergio; Casas, Fernando
56
2016
Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
39
1998
On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097
Blanes, Sergio; Casas, Fernando
32
2005
Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems. Zbl 1103.65129
Blanes, S.; Moan, P. C.
31
2006
Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276
Blanes, Sergio; Casas, Fernando; Murua, Ander
30
2008
High order optimized geometric integrators for linear differential equations. Zbl 1008.65045
Blanes, S.; Casas, F.; Ros, J.
28
2002
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.
27
2013
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
25
2013
Improved high order integrators based on the Magnus expansion. Zbl 0962.65102
Blanes, S.; Casas, F.; Ros, J.
24
2000
Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057
Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania
22
2010
On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005
Blanes, Sergio; Casas, Fernando
21
2004
Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025
Blanes, S.; Moan, P. C.
18
2000
Symplectic integration with processing: A general study. Zbl 0951.65140
Blanes, S.; Casas, F.; Ros, J.
17
1999
Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125
Blanes, S.; Moan, P. C.
13
2001
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
Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013
Blanes, S.; Casas, F.; Ros, J.
11
2000
Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209
Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M.
11
2014
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
11
2017
Composition methods for differential equations with processing. Zbl 1103.65079
Blanes, S.; Casas, F.; Murua, A.
11
2006
On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075
Blanes, S.; Casas, F.; Murua, A.
9
2004
High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125
Seydaoğlu, M.; Blanes, S.
9
2014
A pedagogical approach to the Magnus expansion. Zbl 1206.81041
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
8
2010
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
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075
Blanes, S.; Ponsoda, E.
8
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.
7
2005
Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
2012
On the linear stability of splitting methods. Zbl 1152.65087
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
2008
Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020
Blanes, Sergio; Ponsoda, Enrique
6
2012
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
6
2012
Splitting methods with complex coefficients. Zbl 1242.65129
Blanes, Sergio; Casas, Fernando; Murua, Ander
6
2010
Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique
5
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
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
5
2001
Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511
Blanes, S.; Jódar, L.; Ponsoda, E.
5
2000
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods. Zbl 1344.65063
Blanes, S.
4
2015
Symplectic integrators for the matrix Hill equation. Zbl 1372.65327
Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique; Seydaoğlu, Muaz
4
2017
Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070
Blanes, Sergio; Casas, Fernando
4
2005
The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097
Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz
4
2015
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2015
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
New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119
Blanes, S.; Casas, F.; Ros, J.
3
2001
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
Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2011
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
3
2018
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144
Blanes, Sergio
2
2015
New efficient numerical methods to describe the heat transfer in a solid medium. Zbl 1235.80047
Ponsoda, E.; Blanes, S.; Bader, P.
2
2011
Time-average on the numerical integration of nonautonomous differential equations. Zbl 1398.65156
Blanes, Sergio
2
2018
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
2
2019
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
Solving the pertubed quantum harmonic oscillator in imaginary time using splitting methods with complex coefficients. Zbl 1326.35301
Bader, Philipp; Blanes, Sergio
1
2015
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
1
2019
Splitting and composition methods with embedded error estimators. Zbl 1436.65080
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
1
2019
On the construction of symmetric second order methods for ODEs. Zbl 1468.65079
Blanes, Sergio
1
2019
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030
Blanes, Sergio; Gradinaru, Vasile
1
2020
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 07524349
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
1
2022
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 07524349
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
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
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030
Blanes, Sergio; Gradinaru, Vasile
1
2020
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
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
1
2019
Splitting and composition methods with embedded error estimators. Zbl 1436.65080
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
1
2019
On the construction of symmetric second order methods for ODEs. Zbl 1468.65079
Blanes, Sergio
1
2019
Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique
5
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
3
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
11
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
56
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
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods. Zbl 1344.65063
Blanes, S.
4
2015
The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097
Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz
4
2015
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393
Blanes, Sergio; Casas, Fernando; Murua, Ander
3
2015
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144
Blanes, Sergio
2
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.
11
2014
High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125
Seydaoğlu, M.; Blanes, S.
9
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.
27
2013
Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075
Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
25
2013
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075
Blanes, S.; Ponsoda, E.
8
2012
Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
2012
Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020
Blanes, Sergio; Ponsoda, Enrique
6
2012
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
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.
2
2011
Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057
Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania
22
2010
A pedagogical approach to the Magnus expansion. Zbl 1206.81041
Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J.
8
2010
Splitting methods with complex coefficients. Zbl 1242.65129
Blanes, Sergio; Casas, Fernando; Murua, Ander
6
2010
Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276
Blanes, Sergio; Casas, Fernando; Murua, Ander
30
2008
On the linear stability of splitting methods. Zbl 1152.65087
Blanes, Sergio; Casas, Fernando; Murua, Ander
7
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.
31
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.
11
2006
On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097
Blanes, Sergio; Casas, Fernando
32
2005
Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115
Blanes, S.; Budd, C. J.
7
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
21
2004
On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075
Blanes, S.; Casas, F.; Murua, A.
9
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.
67
2002
High order optimized geometric integrators for linear differential equations. Zbl 1008.65045
Blanes, S.; Casas, F.; Ros, J.
28
2002
Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125
Blanes, S.; Moan, P. C.
13
2001
High order numerical integrators for differential equations using composition and processing of low order methods. Zbl 0988.65049
Blanes, Sergio
5
2001
High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137
Blanes, S.; Casas, F.; Ros, J.
5
2001
New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119
Blanes, S.; Casas, F.; Ros, J.
3
2001
Improved high order integrators based on the Magnus expansion. Zbl 0962.65102
Blanes, S.; Casas, F.; Ros, J.
24
2000
Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025
Blanes, S.; Moan, P. C.
18
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.
17
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.
39
1998
all top 5

Cited by 521 Authors

41 Blanes, Sergio
34 Casas, Fernando
14 Koch, Othmar
14 Thalhammer, Mechthild
12 Murua, Ander
11 Auzinger, Winfried
11 Bader, Philipp
11 Sanz-Serna, Jesús María
9 Chartier, Philippe
9 Ponsoda, Enrique
8 Hofstätter, Harald
8 Seydaoğlu, Muaz
6 Geiser, Jürgen
6 Jódar Sanchez, Lucas Antonio
6 Moan, Per Christian
6 Ostermann, Alexander
5 Crouseilles, Nicolas
5 Diele, Fasma
5 Iserles, Arieh
5 Marangi, Carmela
4 Bernier, Joackim
4 Escorihuela-Tomàs, Alejandro
4 Hansen, Eskil
4 Kropielnicka, Karolina
4 Portillo, A. M.
4 Ragni, Stefania
4 Spiteri, Raymond J.
4 Vilmart, Gilles
4 Wu, Xinyuan
4 You, Xiong
4 Zanna, Antonella
3 Akhmatskaya, Elena
3 Arnal, Ana
3 Bonfiglioli, Andrea
3 Calvo, M. P.
3 Celledoni, Elena
3 Chin, Siu A.
3 Chiralt, Cristina
3 Defez, Emilio
3 Descombes, Stéphane
3 Ebrahimi-Fard, Kurusch
3 Fang, Yonglei
3 Fernández-Sánchez, Jesús
3 González, Cesáreo
3 Gradinaru, Vasile
3 Kopylov, Nikita
3 Leok, Melvin
3 Li, Haochen
3 Liu, Kai
3 Martín de Diego, David
3 McLachlan, Robert I.
3 Oteo, José Angel
3 Owren, Brynjulf
3 Peng, Haijun
3 Sheng, Qin
3 Shi, Wei
3 Simos, Theodore E.
3 Singh, Pranav
3 Tang, Yifa
3 Tubikanec, Irene
3 Zhang, Jingjing
3 Zhang, RuiLi
2 Ahmad, Junaid
2 Alamo, A.
2 Alonso-Mallo, Isaías
2 Alvermann, Andreas
2 Anahory Simoes, Alexandre
2 Antoñana, Mikel
2 Bao, Weizhu
2 Besse, Christophe
2 Biagi, Stefano
2 Buckwar, Evelyn
2 Campos, Cédric Martínez
2 Castaño, Jorge I.
2 Cervi, Jessica
2 Condon, Marissa
2 Cortés López, Juan Carlos
2 Dasgupta, Anirvan
2 Dehghan Takht Fooladi, Mehdi
2 Dörsek, Philipp
2 Ehigie, Julius Osato
2 Einkemmer, Lukas
2 Erdoğan, Utku
2 Fehske, Holger
2 Fernández-Pendás, Mario
2 Fu, Ting
2 Guo, Xiao
2 Habib, Yousaf
2 Hairer, Ernst
2 He, Yang
2 Herfort, Wolfgang N.
2 Hervás, Antonio
2 Hong, Jialin
2 Ibáñez González, Jacinto Javier
2 Jackaman, James
2 Jarvis, Peter D.
2 Li, Yingzhe
2 Makazaga, Joseba
2 Manchon, Dominique
2 Méhats, Florian
...and 421 more Authors
all top 5

Cited in 118 Serials

37 Journal of Computational and Applied Mathematics
34 Journal of Computational Physics
24 Applied Numerical Mathematics
16 Applied Mathematics and Computation
14 BIT
10 Numerical Algorithms
9 Journal of Mathematical Physics
9 Celestial Mechanics and Dynamical Astronomy
9 SIAM Journal on Scientific Computing
8 Computers & Mathematics with Applications
8 Computer Physics Communications
8 International Journal of Computer Mathematics
8 Foundations of Computational Mathematics
7 SIAM Journal on Numerical Analysis
7 Applied Mathematics Letters
7 Applied Mathematical Modelling
6 Mathematics of Computation
6 Numerische Mathematik
6 Journal of Computational Dynamics
4 Journal of Scientific Computing
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 Journal of Applied Mathematics
3 Journal of Theoretical Biology
2 International Journal of Theoretical Physics
2 Journal of Mathematical Analysis and Applications
2 Linear and Multilinear Algebra
2 Reviews in Mathematical Physics
2 Calcolo
2 Systems & Control Letters
2 Physica D
2 Mediterranean Journal of Mathematics
2 Acta Numerica
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Statistics and Computing
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 General Relativity and Gravitation
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 Physics Reports
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 Functional Analysis
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 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 European Journal of Applied Mathematics
1 Annals of Operations Research
1 Computational Mathematics and Mathematical Physics
1 Automation and Remote Control
1 Communications in Statistics. Simulation and Computation
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 St. Petersburg Mathematical Journal
1 Computational and Applied Mathematics
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Mathematical Problems in Engineering
1 Multibody System Dynamics
1 Nonlinear Dynamics
1 Optimization Methods & Software
1 Chaos
1 Mathematical and Computer Modelling of Dynamical Systems
1 New Journal of Physics
1 Regular and Chaotic Dynamics
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Quantum Information Processing
1 International Journal of Geometric Methods in Modern Physics
1 Inverse Problems in Science and Engineering
1 Mathematics in Computer Science
1 Computational & Mathematical Methods in Medicine
1 Communications in Computational Physics
...and 18 more Serials
all top 5

Cited in 44 Fields

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

Citations by Year