Edit Profile (opens in new tab) Casas, Fernando Co-Author Distance Author ID: casas.fernando Published as: Casas, Fernando; Casas, F. Documents Indexed: 93 Publications since 1991, including 1 Book and 14 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 95 Reviews Co-Authors: 34 Co-Authors with 85 Joint Publications 584 Co-Co-Authors all top 5 Co-Authors 6 single-authored 54 Blanes, Sergio 16 Murua, Ander 9 Arnal, Ana 9 Bader, Philipp 9 Chiralt, Cristina 9 Oteo, José Angel 8 Thalhammer, Mechthild 7 Escorihuela-Tomàs, Alejandro 4 Chartier, Philippe 4 González, Cesáreo 4 Sanz-Serna, Jesús María 3 Crouseilles, Nicolas 3 Kopylov, Nikita 3 Shaw, Luke 2 Bernier, Joackim 2 Faou, Erwan 2 Farrés, Ariadna 2 Hajiketabi, Mohammad 2 Laskar, Jacques 2 Makazaga, Joseba 2 Mehrenberger, Michel 2 Ponsoda, Enrique 2 Seydaoğlu, Muaz 1 Abbasbandy, Saeid 1 Afeyan, Bedros 1 Calvo, M. P. 1 Carlin, E. S. 1 Dodhy, Adila 1 D’Olivo, Juan Carlos 1 Iserles, Arieh 1 Martínez, Vicente 1 Nadinic, Mladen 1 Owren, Brynjulf 1 Sonnendrücker, Eric 1 Wensch, Jörg 1 Zhang, Yong all top 5 Serials 9 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 7 Journal of Physics A: Mathematical and General 6 SIAM Journal on Scientific Computing 4 Computer Physics Communications 4 Applied Mathematics and Computation 4 BIT 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Computational Dynamics 2 European Journal of Physics 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 International Journal of Computer Mathematics 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematics and Computers in Simulation 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Foundations of Computational Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Statistics and Computing 1 S\(\vec{\text{e}}\)MA Journal 1 SEMA SIMAI Springer Series 1 Monographs and Research Notes in Mathematics all top 5 Fields 64 Numerical analysis (65-XX) 29 Ordinary differential equations (34-XX) 24 Dynamical systems and ergodic theory (37-XX) 11 Partial differential equations (35-XX) 9 Mechanics of particles and systems (70-XX) 7 Quantum theory (81-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 3 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-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 731 times in 449 Documents Cited by ▼ Year ▼ A concise introduction to geometric numerical integration. Zbl 1343.65146 Blanes, Sergio; Casas, Fernando 87 2016 Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014 Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 40 1998 Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276 Blanes, Sergio; Casas, Fernando; Murua, Ander 38 2008 New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007 Blanes, S.; Casas, F.; Farrés, A.; Laskar, J.; Makazaga, J.; Murua, A. 38 2013 On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097 Blanes, Sergio; Casas, Fernando 37 2005 Efficient computation of the Zassenhaus formula. Zbl 1318.17001 Casas, Fernando; Murua, Ander; Nadinic, Mladen 30 2012 High order optimized geometric integrators for linear differential equations. Zbl 1008.65045 Blanes, S.; Casas, F.; Ros, J. 29 2002 Improved high order integrators based on the Magnus expansion. Zbl 0962.65102 Blanes, S.; Casas, F.; Ros, J. 28 2000 Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075 Blanes, S.; Casas, F.; Chartier, P.; Murua, A. 28 2013 An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications. Zbl 1202.17004 Casas, Fernando; Murua, Ander 25 2009 On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005 Blanes, Sergio; Casas, Fernando 23 2004 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060 Casas, Fernando; Iserles, Arieh 20 2006 High-order Hamiltonian splitting for the Vlasov-Poisson equations. Zbl 1369.37083 Casas, Fernando; Crouseilles, Nicolas; Faou, Erwan; Mehrenberger, Michel 20 2017 Symplectic integration with processing: A general study. Zbl 0951.65140 Blanes, S.; Casas, F.; Ros, J. 18 1999 Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209 Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M. 18 2014 Sufficient conditions for the convergence of the Magnus expansion. Zbl 1131.34008 Casas, Fernando 15 2007 High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 15 2017 The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Zbl 1427.65286 Hajiketabi, M.; Abbasbandy, S.; Casas, F. 15 2018 A pedagogical approach to the Magnus expansion. Zbl 1206.81041 Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 14 2010 Extrapolation of symplectic integrators. Zbl 0962.65101 Blanes, S.; Casas, F.; Ros, J. 12 1999 Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083 Blanes, S.; Casas, F. 12 2006 Composition methods for differential equations with processing. Zbl 1103.65079 Blanes, S.; Casas, F.; Murua, A. 12 2006 Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013 Blanes, S.; Casas, F.; Ros, J. 11 2000 On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075 Blanes, S.; Casas, F.; Murua, A. 10 2004 On the linear stability of splitting methods. Zbl 1152.65087 Blanes, Sergio; Casas, Fernando; Murua, Ander 10 2008 Splitting methods for non-autonomous linear systems. Zbl 1121.65081 Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2007 Cost efficient Lie group integrators in the RKMK class. Zbl 1047.65053 Casas, F.; Owren, B. 8 2003 Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109 Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2012 Splitting methods with complex coefficients. Zbl 1242.65129 Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2010 Floquet theory: Exponential perturbative treatment. Zbl 0984.34046 Casas, F.; Oteo, J. A.; Ros, J. 6 2001 High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137 Blanes, S.; Casas, F.; Ros, J. 6 2001 Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique 6 2018 Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189 Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro 6 2022 Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type. Zbl 1462.65128 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 6 2018 An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393 Blanes, Sergio; Casas, Fernando; Murua, Ander 5 2015 Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 1484.65146 Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong 5 2021 Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 5 2019 New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119 Blanes, S.; Casas, F.; Ros, J. 4 2001 Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070 Blanes, Sergio; Casas, Fernando 4 2005 Solution of linear partial differential equations by Lie algebraic methods. Zbl 0871.35021 Casas, Fernando 4 1996 Unitary transformations depending on a small parameter. Zbl 1364.81126 Casas, F.; Oteo, J. A.; Ros, J. 4 2012 Splitting methods for rotations: application to Vlasov equations. Zbl 1432.65133 Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas 4 2020 New analytic approximations based on the Magnus expansion. Zbl 1231.81033 Sánchez, S.; Casas, F.; Fernández, A. 3 2011 Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066 Blanes, Sergio; Casas, Fernando; Murua, Ander 3 2011 Numerical integration methods for the double-bracket flow. Zbl 1085.65057 Casas, Fernando 3 2004 Lie algebraic approach to Fer’s expansion for classical Hamiltonian systems. Zbl 0752.58009 Casas, F.; Oteo, J. A.; Ros, J. 3 1991 Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Ponsoda, Enrique 3 2016 On symmetric-conjugate composition methods in the numerical integration of differential equations. Zbl 1520.65049 Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A. 3 2022 Splitting and composition methods with embedded error estimators. Zbl 1436.65080 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 3 2019 Variation of the action in the classical time-dependent harmonic oscillator: An exact result. Zbl 0772.70017 Casas, F.; Oteo, J. A.; Ros, J. 2 1993 Fer’s factorization as a symplectic integrator. Zbl 0862.65042 Casas, F. 2 1996 Extrapolation in Lie groups with approximated BCH-formula. Zbl 1008.65044 Wensch, Jörg; Casas, Fernando 2 2002 Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Zbl 1433.65032 Hajiketabi, M.; Casas, F. 2 2020 On the structure and convergence of the symmetric Zassenhaus formula. Zbl 1411.17003 Arnal, Ana; Casas, Fernando; Chiralt, Cristina 2 2017 Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115 Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild 2 2023 Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047 Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando 2 2021 A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators. Zbl 1484.22014 Arnal, Ana; Casas, Fernando; Chiralt, Cristina 2 2021 Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 2 2019 On time-dependent perturbation theory in matrix mechanics and time averaging. Zbl 1332.81063 Casas, Fernando 1 2015 High order integrators obtained by linear combinations of symmetric-conjugate compositions. Zbl 1510.65313 Casas, F.; Escorihuela-Tomàs, A. 1 2022 Symplectic propagators for the Kepler problem with time-dependent mass. Zbl 1451.70035 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 1 2019 A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients. Zbl 1283.34011 Casas, Fernando; Chiralt, Cristina 1 2014 Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102 Blanes, S.; Casas, F.; Escorihuela-Tomàs, A. 1 2022 Split Hamiltonian Monte Carlo revisited. Zbl 1496.62006 Casas, Fernando; Sanz-Serna, Jesús María; Shaw, Luke 1 2022 An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Zbl 07478804 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Seydaoğlu, Muaz 1 2022 Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. Zbl 1487.65006 Blanes, S.; Calvo, M. P.; Casas, F.; Sanz-Serna, J. M. 1 2021 Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115 Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild 2 2023 Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189 Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro 6 2022 On symmetric-conjugate composition methods in the numerical integration of differential equations. Zbl 1520.65049 Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A. 3 2022 High order integrators obtained by linear combinations of symmetric-conjugate compositions. Zbl 1510.65313 Casas, F.; Escorihuela-Tomàs, A. 1 2022 Runge-Kutta-Nyström symplectic splitting methods of order 8. Zbl 1506.65102 Blanes, S.; Casas, F.; Escorihuela-Tomàs, A. 1 2022 Split Hamiltonian Monte Carlo revisited. Zbl 1496.62006 Casas, Fernando; Sanz-Serna, Jesús María; Shaw, Luke 1 2022 An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Zbl 07478804 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Seydaoğlu, Muaz 1 2022 Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Zbl 1484.65146 Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong 5 2021 Computing the matrix sine and cosine simultaneously with a reduced number of products. Zbl 1460.65047 Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando 2 2021 A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators. Zbl 1484.22014 Arnal, Ana; Casas, Fernando; Chiralt, Cristina 2 2021 Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. Zbl 1487.65006 Blanes, S.; Calvo, M. P.; Casas, F.; Sanz-Serna, J. M. 1 2021 Splitting methods for rotations: application to Vlasov equations. Zbl 1432.65133 Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas 4 2020 Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Zbl 1433.65032 Hajiketabi, M.; Casas, F. 2 2020 Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 5 2019 Splitting and composition methods with embedded error estimators. Zbl 1436.65080 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 3 2019 Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. Zbl 1405.65088 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 2 2019 Symplectic propagators for the Kepler problem with time-dependent mass. Zbl 1451.70035 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita 1 2019 The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Zbl 1427.65286 Hajiketabi, M.; Abbasbandy, S.; Casas, F. 15 2018 Symplectic integrators for second-order linear non-autonomous equations. Zbl 1376.65147 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique 6 2018 Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type. Zbl 1462.65128 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 6 2018 High-order Hamiltonian splitting for the Vlasov-Poisson equations. Zbl 1369.37083 Casas, Fernando; Crouseilles, Nicolas; Faou, Erwan; Mehrenberger, Michel 20 2017 High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Zbl 1411.81027 Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild 15 2017 On the structure and convergence of the symmetric Zassenhaus formula. Zbl 1411.17003 Arnal, Ana; Casas, Fernando; Chiralt, Cristina 2 2017 A concise introduction to geometric numerical integration. Zbl 1343.65146 Blanes, Sergio; Casas, Fernando 87 2016 Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations. Zbl 1329.65140 Bader, Philipp; Blanes, Sergio; Casas, Fernando; Ponsoda, Enrique 3 2016 An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Zbl 1349.65393 Blanes, Sergio; Casas, Fernando; Murua, Ander 5 2015 On time-dependent perturbation theory in matrix mechanics and time averaging. Zbl 1332.81063 Casas, Fernando 1 2015 Numerical integrators for the hybrid Monte Carlo method. Zbl 1312.65209 Blanes, Sergio; Casas, Fernando; Sanz-Serna, J. M. 18 2014 A Lie-Deprit perturbation algorithm for linear differential equations with periodic coefficients. Zbl 1283.34011 Casas, Fernando; Chiralt, Cristina 1 2014 New families of symplectic splitting methods for numerical integration in dynamical astronomy. Zbl 1263.85007 Blanes, S.; Casas, F.; Farrés, A.; Laskar, J.; Makazaga, J.; Murua, A. 38 2013 Optimized high-order splitting methods for some classes of parabolic equations. Zbl 1278.65075 Blanes, S.; Casas, F.; Chartier, P.; Murua, A. 28 2013 Efficient computation of the Zassenhaus formula. Zbl 1318.17001 Casas, Fernando; Murua, Ander; Nadinic, Mladen 30 2012 Splitting methods in the numerical integration of non-autonomous dynamical systems. Zbl 1259.65109 Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2012 Unitary transformations depending on a small parameter. Zbl 1364.81126 Casas, F.; Oteo, J. A.; Ros, J. 4 2012 New analytic approximations based on the Magnus expansion. Zbl 1231.81033 Sánchez, S.; Casas, F.; Fernández, A. 3 2011 Error analysis of splitting methods for the time dependent Schrödinger equation. Zbl 1233.65066 Blanes, Sergio; Casas, Fernando; Murua, Ander 3 2011 A pedagogical approach to the Magnus expansion. Zbl 1206.81041 Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 14 2010 Splitting methods with complex coefficients. Zbl 1242.65129 Blanes, Sergio; Casas, Fernando; Murua, Ander 7 2010 An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications. Zbl 1202.17004 Casas, Fernando; Murua, Ander 25 2009 Splitting and composition methods in the numerical integration of differential equations. Zbl 1242.65276 Blanes, Sergio; Casas, Fernando; Murua, Ander 38 2008 On the linear stability of splitting methods. Zbl 1152.65087 Blanes, Sergio; Casas, Fernando; Murua, Ander 10 2008 Sufficient conditions for the convergence of the Magnus expansion. Zbl 1131.34008 Casas, Fernando 15 2007 Splitting methods for non-autonomous linear systems. Zbl 1121.65081 Blanes, Sergio; Casas, Fernando; Murua, Ander 8 2007 Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060 Casas, Fernando; Iserles, Arieh 20 2006 Splitting methods for nonautonomous separable dynamical systems. Zbl 1090.65083 Blanes, S.; Casas, F. 12 2006 Composition methods for differential equations with processing. Zbl 1103.65079 Blanes, S.; Casas, F.; Murua, A. 12 2006 On the necessity of negative coefficients for operator splitting schemes of order higher than two. Zbl 1071.65097 Blanes, Sergio; Casas, Fernando 37 2005 Raising the order of geometric numerical integrators by composition and extrapolation. Zbl 1093.65070 Blanes, Sergio; Casas, Fernando 4 2005 On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Zbl 1054.17005 Blanes, Sergio; Casas, Fernando 23 2004 On the numerical integration of ordinary differential equations by processed methods. Zbl 1079.65075 Blanes, S.; Casas, F.; Murua, A. 10 2004 Numerical integration methods for the double-bracket flow. Zbl 1085.65057 Casas, Fernando 3 2004 Cost efficient Lie group integrators in the RKMK class. Zbl 1047.65053 Casas, F.; Owren, B. 8 2003 High order optimized geometric integrators for linear differential equations. Zbl 1008.65045 Blanes, S.; Casas, F.; Ros, J. 29 2002 Extrapolation in Lie groups with approximated BCH-formula. Zbl 1008.65044 Wensch, Jörg; Casas, Fernando 2 2002 Floquet theory: Exponential perturbative treatment. Zbl 0984.34046 Casas, F.; Oteo, J. A.; Ros, J. 6 2001 High-order Runge-Kutta-Nyström geometric methods with processing. Zbl 0990.65137 Blanes, S.; Casas, F.; Ros, J. 6 2001 New families of symplectic Runge-Kutta-Nyström integration methods. Zbl 0978.65119 Blanes, S.; Casas, F.; Ros, J. 4 2001 Improved high order integrators based on the Magnus expansion. Zbl 0962.65102 Blanes, S.; Casas, F.; Ros, J. 28 2000 Processing symplectic methods for near-integrable Hamiltonian systems. Zbl 0986.70013 Blanes, S.; Casas, F.; Ros, J. 11 2000 Symplectic integration with processing: A general study. Zbl 0951.65140 Blanes, S.; Casas, F.; Ros, J. 18 1999 Extrapolation of symplectic integrators. Zbl 0962.65101 Blanes, S.; Casas, F.; Ros, J. 12 1999 Magnus and Fer expansions for matrix differential equations: The convergence problem. Zbl 0946.34014 Blanes, S.; Casas, F.; Oteo, J. A.; Ros, J. 40 1998 Solution of linear partial differential equations by Lie algebraic methods. Zbl 0871.35021 Casas, Fernando 4 1996 Fer’s factorization as a symplectic integrator. Zbl 0862.65042 Casas, F. 2 1996 Variation of the action in the classical time-dependent harmonic oscillator: An exact result. Zbl 0772.70017 Casas, F.; Oteo, J. A.; Ros, J. 2 1993 Lie algebraic approach to Fer’s expansion for classical Hamiltonian systems. Zbl 0752.58009 Casas, F.; Oteo, J. A.; Ros, J. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 646 Authors 47 Blanes, Sergio 47 Casas, Fernando 15 Sanz-Serna, Jesús María 13 Murua, Ander 12 Bader, Philipp 11 Koch, Othmar 11 Thalhammer, Mechthild 9 Auzinger, Winfried 9 Iserles, Arieh 9 Seydaoğlu, Muaz 8 Chartier, Philippe 8 Crouseilles, Nicolas 8 Einkemmer, Lukas 8 Hofstätter, Harald 7 Geiser, Jürgen 7 Kropielnicka, Karolina 7 Ostermann, Alexander 7 Ponsoda, Enrique 6 Arnal, Ana 6 Bernier, Joackim 6 Celledoni, Elena 6 Chiralt, Cristina 6 Diele, Fasma 6 Escorihuela-Tomàs, Alejandro 6 McLachlan, Robert I. 6 Singh, Pranav 5 Marangi, Carmela 5 Martín de Diego, David 5 Moan, Per Christian 4 Bréhier, Charles-Edouard 4 Ebrahimi-Fard, Kurusch 4 González, Cesáreo 4 Hansen, Eskil 4 He, Yang 4 Jackaman, James 4 Leok, Melvin 4 Liu, Kai 4 Mehrenberger, Michel 4 Owren, Brynjulf 4 Portillo, A. M. 4 Sheng, Qin 4 Sun, Yajuan 4 Tambue, Antoine 4 Vilmart, Gilles 3 Akhmatskaya, Elena 3 Anahory Simoes, Alexandre 3 Bonfiglioli, Andrea 3 Bou-Rabee, Nawaf M. 3 Brugnano, Luigi 3 Calvo, M. P. 3 Chin, Siu A. 3 Fernández-Sánchez, Jesús 3 Guo, Xiao 3 Iavernaro, Felice 3 Jarvis, Peter D. 3 Jódar Sanchez, Lucas Antonio 3 Kiselev, Sergey P. 3 Kopylov, Nikita 3 Li, Yingzhe 3 Liu, Jian 3 Manchon, Dominique 3 Mukam, Jean Daniel 3 Oteo, José Angel 3 Pozza, Stefano 3 Quell, Michael 3 Ragni, Stefania 3 Skokos, Charalampos Haris 3 Spiteri, Raymond J. 3 Sumner, Jeremy G. 3 Tao, Molei 3 Zanna, Antonella 2 Alamo, A. 2 Alonso-Mallo, Isaías 2 Antoñana, Mikel 2 Besse, Christophe 2 Biagi, Stefano 2 Bihlo, Alexander 2 Böhle, Tobias 2 Campos, Cédric Martínez 2 Cervi, Jessica 2 Condon, Marissa 2 Dattoli, Giuseppe 2 Defez, Emilio 2 Descombes, Stéphane 2 Ding, Xiaohua 2 Dörsek, Philipp 2 Duruisseaux, Valentin 2 Ehigie, Julius Osato 2 Erdoğan, Utku 2 Faou, Erwan 2 Fernández-Pendás, Mario 2 Fu, Ting 2 Giscard, Pierre-Louis 2 Gotoh, Hitoshi 2 Gradinaru, Vasile 2 Hager, Paul P. 2 Hairer, Ernst 2 Herfort, Wolfgang N. 2 Hervás, Antonio 2 Hoffmann, Scott E. ...and 546 more Authors all top 5 Cited in 145 Serials 43 Journal of Computational Physics 32 Journal of Computational and Applied Mathematics 23 Applied Numerical Mathematics 16 Computer Physics Communications 14 Journal of Mathematical Physics 14 Applied Mathematics and Computation 12 BIT 11 Foundations of Computational Mathematics 9 Celestial Mechanics and Dynamical Astronomy 9 Journal of Computational Dynamics 8 Mathematics of Computation 8 SIAM Journal on Numerical Analysis 8 Numerical Algorithms 8 SIAM Journal on Scientific Computing 7 Numerische Mathematik 7 Applied Mathematics Letters 7 International Journal of Computer Mathematics 7 Journal of Physics A: Mathematical and Theoretical 6 Computers & Mathematics with Applications 6 Applied Mathematical Modelling 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Physica D 4 Journal of Scientific Computing 4 Statistics and Computing 3 International Journal of Theoretical Physics 3 SIAM Journal on Matrix Analysis and Applications 3 Linear Algebra and its Applications 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Chemistry 3 Journal of High Energy Physics 3 Discrete and Continuous Dynamical Systems. Series B 3 Mediterranean Journal of Mathematics 3 Journal of Theoretical Biology 2 General Relativity and Gravitation 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Mathematical Methods in the Applied Sciences 2 Reviews in Mathematical Physics 2 Journal of Algebra 2 Mathematics and Computers in Simulation 2 Systems & Control Letters 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Mathematical and Computer Modelling 2 Computational and Applied Mathematics 2 Optimization Methods & Software 2 New Journal of Physics 2 International Journal of Modern Physics C 2 Quantum Information Processing 2 Acta Numerica 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Communications in Computational Physics 2 Kinetic and Related Models 2 International Journal of Differential Equations 2 Forum of Mathematics, Sigma 2 Mathematics 2 International Journal of Applied and Computational Mathematics 1 Acta Mechanica 1 Advances in Applied Probability 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 European Journal of Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Physics Reports 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Calcolo 1 Geometriae Dedicata 1 Journal of the American Statistical Association 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Studies in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Journal of the Nigerian Mathematical Society 1 Journal of Complexity 1 MCSS. Mathematics of Control, Signals, and Systems 1 Annals of Operations Research 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Communications in Statistics. Simulation and Computation 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal ...and 45 more Serials all top 5 Cited in 51 Fields 301 Numerical analysis (65-XX) 104 Partial differential equations (35-XX) 79 Ordinary differential equations (34-XX) 70 Dynamical systems and ergodic theory (37-XX) 59 Quantum theory (81-XX) 37 Mechanics of particles and systems (70-XX) 34 Probability theory and stochastic processes (60-XX) 29 Statistical mechanics, structure of matter (82-XX) 25 Nonassociative rings and algebras (17-XX) 19 Fluid mechanics (76-XX) 19 Biology and other natural sciences (92-XX) 13 Optics, electromagnetic theory (78-XX) 12 Topological groups, Lie groups (22-XX) 12 Operator theory (47-XX) 12 Mechanics of deformable solids (74-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Differential geometry (53-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 9 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Associative rings and algebras (16-XX) 7 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year