Edit Profile (opens in new tab) Blanes, Sergio Co-Author Distance Author ID: blanes.sergio Published as: Blanes, Sergio; Blanes, S. Documents Indexed: 83 Publications since 1998, including 1 Book and 10 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 28 Co-Authors with 77 Joint Publications 522 Co-Co-Authors all top 5 Co-Authors 7 single-authored 54 Casas, Fernando 16 Bader, Philipp 13 Murua, Ander 9 Ponsoda, Enrique 8 Thalhammer, Mechthild 5 Seydaoğlu, Muaz 4 Escorihuela-Tomàs, Alejandro 4 González, Cesáreo 4 Kopylov, Nikita 4 Moan, Per Christian 3 Oteo, José Angel 2 Budd, Christopher John 2 Chartier, Philippe 2 Farrés, Ariadna 2 Iserles, Arieh 2 Jódar Sanchez, Lucas Antonio 2 Laskar, Jacques 2 Makazaga, Joseba 2 Sanz-Serna, Jesús María 1 Bernier, Joackim 1 Calvo, M. P. 1 Carlin, E. S. 1 Diele, Fasma 1 Gradinaru, Vasile 1 MacNamara, Shev F. 1 Marangi, Carmela 1 Ragni, Stefania 1 Shaw, Luke all top 5 Serials 10 Applied Numerical Mathematics 9 Journal of Computational and Applied Mathematics 6 SIAM Journal on Scientific Computing 5 Celestial Mechanics and Dynamical Astronomy 3 Computer Physics Communications 3 Journal of Computational Physics 3 BIT 3 Journal of Computational Dynamics 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 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 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 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 67 Numerical analysis (65-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Ordinary differential equations (34-XX) 11 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 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 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 cited Publications top 5 cited Publications 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