Edit Profile (opens in new tab) Blanes, Sergio Compute Distance To: Compute Author ID: blanes.sergio Published as: Blanes, Sergio; Blanes, S. Documents Indexed: 67 Publications since 1998, including 1 Book 1 Contribution as Editor Co-Authors: 23 Co-Authors with 62 Joint Publications 452 Co-Co-Authors all top 5 Co-Authors 6 single-authored 42 Casas, Fernando 12 Bader, Philipp 11 Murua, Ander 9 Ponsoda, Enrique 5 Seydaoğlu, Muaz 5 Thalhammer, Mechthild 4 Moan, Per Christian 3 Kopylov, Nikita 2 Budd, Christopher John 2 Chartier, Philippe 2 Escorihuela-Tomàs, Alejandro 2 Jódar Sanchez, Lucas Antonio 2 Oteo, José Angel 2 Sanz-Serna, Jesús María 1 Calvo, M. P. 1 Diele, Fasma 1 González, Cesáreo 1 Gradinaru, Vasile 1 Iserles, Arieh 1 Laskar, Jacques 1 Makazaga, Joseba 1 Marangi, Carmela 1 Ragni, Stefania all top 5 Serials 9 Journal of Computational and Applied Mathematics 9 Applied Numerical Mathematics 6 SIAM Journal on Scientific Computing 5 Celestial Mechanics and Dynamical Astronomy 3 Journal of Computational Physics 2 Computer Physics Communications 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 BIT 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Journal of Physics A: Mathematical and General 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 2 Journal of Computational Dynamics 1 European Journal of Physics 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 SIAM Journal on Matrix Analysis and Applications 1 Linear Algebra and its Applications 1 Foundations of Computational Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Monographs and Research Notes in Mathematics all top 5 Fields 58 Numerical analysis (65-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 1001.65078Blanes, S.; Moan, P. C. 67 2002 A concise introduction to geometric numerical integration. Zbl 1343.65146Blanes, Sergio; Casas, Fernando 56 2016 Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014Blanes, 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 1071.65097Blanes, Sergio; Casas, Fernando 32 2005 Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems. Zbl 1103.65129Blanes, S.; Moan, P. C. 31 2006 Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276Blanes, Sergio; Casas, Fernando; Murua, Ander 30 2008 High order optimized geometric integrators for linear differential equations. Zbl 1008.65045Blanes, S.; Casas, F.; Ros, J. 28 2002 New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007Blanes, 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 1278.65075Blanes, S.; Casas, F.; Chartier, P.; Murua, A. 25 2013 Improved high order integrators based on the Magnus expansion. Zbl 0962.65102Blanes, S.; Casas, F.; Ros, J. 24 2000 Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania 22 2010 On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005Blanes, Sergio; Casas, Fernando 21 2004 Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025Blanes, S.; Moan, P. C. 18 2000 Symplectic integration with processing: A general study. Zbl 0951.65140Blanes, S.; Casas, F.; Ros, J. 17 1999 Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125Blanes, S.; Moan, P. C. 13 2001 Extrapolation of symplectic integrators. Zbl 0962.65101Blanes, S.; Casas, F.; Ros, J. 12 1999 Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083Blanes, S.; Casas, F. 12 2006 Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013Blanes, S.; Casas, F.; Ros, J. 11 2000 Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M. 11 2014 High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 11 2017 Composition methods for differential equations with processing. Zbl 1103.65079Blanes, S.; Casas, F.; Murua, A. 11 2006 On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075Blanes, S.; Casas, F.; Murua, A. 9 2004 High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125Seydaoğlu, M.; Blanes, S. 9 2014 A pedagogical approach to the Magnus expansion. Zbl 1206.81041Blanes, 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 1293.49074Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique 8 2014 Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075Blanes, S.; Ponsoda, E. 8 2012 Splitting methods for non-autonomous linear systems. Zbl 1121.65081Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2007 Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115Blanes, S.; Budd, C. J. 7 2005 Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2012 On the linear stability of splitting methods. Zbl 1152.65087Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2008 Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020Blanes, Sergio; Ponsoda, Enrique 6 2012 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 Splitting methods with complex coefficients. Zbl 1242.65129Blanes, Sergio; Casas, Fernando; Murua, Ander 6 2010 Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147Bader, 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 0988.65049Blanes, Sergio 5 2001 Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095Blanes, Sergio; Jódar, Lucas 5 1999 High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137Blanes, S.; Casas, F.; Ros, J. 5 2001 Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511Blanes, S.; Jódar, L.; Ponsoda, E. 5 2000 Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods. Zbl 1344.65063Blanes, S. 4 2015 Symplectic integrators for the matrix Hill equation. Zbl 1372.65327Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique; Seydaoğlu, Muaz 4 2017 Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070Blanes, Sergio; Casas, Fernando 4 2005 The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz 4 2015 An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393Blanes, Sergio; Casas, Fernando; Murua, Ander 3 2015 Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320Blanes, Sergio; Budd, Chris J. 3 2004 New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119Blanes, S.; Casas, F.; Ros, J. 3 2001 Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140Bader, Philipp; Blanes, Sergio; Casas, Fernando; Ponsoda, Enrique 3 2016 Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066Blanes, 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 1462.65128Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 3 2018 High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144Blanes, Sergio 2 2015 New efficient numerical methods to describe the heat transfer in a solid medium. Zbl 1235.80047Ponsoda, E.; Blanes, S.; Bader, P. 2 2011 Time-average on the numerical integration of nonautonomous differential equations. Zbl 1398.65156Blanes, Sergio 2 2018 Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 2 2019 Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047Seydaoğlu, 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 1326.35301Bader, Philipp; Blanes, Sergio 1 2015 Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 1 2019 Splitting and composition methods with embedded error estimators. Zbl 1436.65080Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 1 2019 On the construction of symmetric second order methods for ODEs. Zbl 1468.65079Blanes, Sergio 1 2019 High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030Blanes, Sergio; Gradinaru, Vasile 1 2020 Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 07524349Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro 1 2022 Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 07524349Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro 1 2022 Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando 2 2021 High order efficient splittings for the semiclassical time-dependent Schrödinger equation. Zbl 1453.81030Blanes, Sergio; Gradinaru, Vasile 1 2020 Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 2 2019 Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 1 2019 Splitting and composition methods with embedded error estimators. Zbl 1436.65080Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 1 2019 On the construction of symmetric second order methods for ODEs. Zbl 1468.65079Blanes, Sergio 1 2019 Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147Bader, 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 1462.65128Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 3 2018 Time-average on the numerical integration of nonautonomous differential equations. Zbl 1398.65156Blanes, Sergio 2 2018 High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 11 2017 Symplectic integrators for the matrix Hill equation. Zbl 1372.65327Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique; Seydaoğlu, Muaz 4 2017 A concise introduction to geometric numerical integration. Zbl 1343.65146Blanes, Sergio; Casas, Fernando 56 2016 Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140Bader, 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 1344.65063Blanes, S. 4 2015 The scaling, splitting, and squaring method for the exponential of perturbed matrices. Zbl 1328.65097Bader, Philipp; Blanes, Sergio; Seydaoğlu, Muaz 4 2015 An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393Blanes, Sergio; Casas, Fernando; Murua, Ander 3 2015 High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Zbl 1317.65144Blanes, Sergio 2 2015 Solving the pertubed quantum harmonic oscillator in imaginary time using splitting methods with complex coefficients. Zbl 1326.35301Bader, Philipp; Blanes, Sergio 1 2015 Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M. 11 2014 High-order splitting methods for separable non-autonomous parabolic equations. Zbl 1293.65125Seydaoğlu, 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 1293.49074Bader, Philipp; Blanes, Sergio; Ponsoda, Enrique 8 2014 New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007Blanes, 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 1278.65075Blanes, S.; Casas, F.; Chartier, P.; Murua, A. 25 2013 Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Zbl 1243.65075Blanes, S.; Ponsoda, E. 8 2012 Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2012 Magnus integrators for solving linear-quadratic differential games. Zbl 1239.91020Blanes, Sergio; Ponsoda, Enrique 6 2012 Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045Blanes, Sergio; Iserles, Arieh 6 2012 Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066Blanes, Sergio; Casas, Fernando; Murua, Ander 3 2011 New efficient numerical methods to describe the heat transfer in a solid medium. Zbl 1235.80047Ponsoda, E.; Blanes, S.; Bader, P. 2 2011 Splitting and composition methods for explicit time dependence in separable dynamical systems. Zbl 1200.65057Blanes, Sergio; Diele, Fasma; Marangi, Carmela; Ragni, Stefania 22 2010 A pedagogical approach to the Magnus expansion. Zbl 1206.81041Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 8 2010 Splitting methods with complex coefficients. Zbl 1242.65129Blanes, Sergio; Casas, Fernando; Murua, Ander 6 2010 Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276Blanes, Sergio; Casas, Fernando; Murua, Ander 30 2008 On the linear stability of splitting methods. Zbl 1152.65087Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2008 Splitting methods for non-autonomous linear systems. Zbl 1121.65081Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2007 Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems. Zbl 1103.65129Blanes, S.; Moan, P. C. 31 2006 Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083Blanes, S.; Casas, F. 12 2006 Composition methods for differential equations with processing. Zbl 1103.65079Blanes, S.; Casas, F.; Murua, A. 11 2006 On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097Blanes, Sergio; Casas, Fernando 32 2005 Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115Blanes, S.; Budd, C. J. 7 2005 Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070Blanes, Sergio; Casas, Fernando 4 2005 On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005Blanes, Sergio; Casas, Fernando 21 2004 On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075Blanes, S.; Casas, F.; Murua, A. 9 2004 Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320Blanes, Sergio; Budd, Chris J. 3 2004 Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods. Zbl 1001.65078Blanes, S.; Moan, P. C. 67 2002 High order optimized geometric integrators for linear differential equations. Zbl 1008.65045Blanes, S.; Casas, F.; Ros, J. 28 2002 Splitting methods for non-autonomous Hamiltonian equations. Zbl 0986.65125Blanes, S.; Moan, P. C. 13 2001 High order numerical integrators for differential equations using composition and processing of low order methods. Zbl 0988.65049Blanes, Sergio 5 2001 High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137Blanes, S.; Casas, F.; Ros, J. 5 2001 New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119Blanes, S.; Casas, F.; Ros, J. 3 2001 Improved high order integrators based on the Magnus expansion. Zbl 0962.65102Blanes, S.; Casas, F.; Ros, J. 24 2000 Splitting methods for the time-dependent Schrödinger equation. Zbl 0941.81025Blanes, S.; Moan, P. C. 18 2000 Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013Blanes, S.; Casas, F.; Ros, J. 11 2000 Approximate solutions with a priori error bounds for continuous coefficient matrix Riccati equations. Zbl 1042.34511Blanes, S.; Jódar, L.; Ponsoda, E. 5 2000 Symplectic integration with processing: A general study. Zbl 0951.65140Blanes, S.; Casas, F.; Ros, J. 17 1999 Extrapolation of symplectic integrators. Zbl 0962.65101Blanes, S.; Casas, F.; Ros, J. 12 1999 Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. Zbl 0946.65095Blanes, Sergio; Jódar, Lucas 5 1999 Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 39 1998 all cited Publications top 5 cited Publications 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