| Splitting and composition methods in the numerical integration of differential equations S Blanes, F Casas, A Murua arXiv preprint arXiv:0812.0377, 2008 | 157 | 2008 |
| An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants P Chartier, E Faou, A Murua Numerische Mathematik 103, 575-590, 2006 | 142 | 2006 |
| Efficient computation of the Zassenhaus formula F Casas, A Murua, M Nadinic Computer Physics Communications 183 (11), 2386-2391, 2012 | 138 | 2012 |
| The Hopf algebra of rooted trees, free Lie algebras, and Lie series A Murua Foundations of Computational Mathematics 6 (4), 387-426, 2006 | 109 | 2006 |
| An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications F Casas, A Murua Journal of Mathematical Physics 50 (3), 033513, 2009 | 108 | 2009 |
| New families of symplectic splitting methods for numerical integration in dynamical astronomy S Blanes, F Casas, A Farres, J Laskar, J Makazaga, A Murua Applied Numerical Mathematics 68, 58-72, 2013 | 105 | 2013 |
| Order conditions for numerical integrators obtained by composing simpler integrators A Murua, JM Sanz–Serna Philosophical Transactions of the Royal Society of London. Series A …, 1999 | 97 | 1999 |
| Symplectic methods based on decompositions AL Araújo, A Murua, JM Sanz-Serna SIAM journal on numerical analysis 34 (5), 1926-1947, 1997 | 80 | 1997 |
| Optimized high-order splitting methods for some classes of parabolic equations S Blanes, F Casas, P Chartier, A Murua Mathematics of Computation 82 (283), 1559-1576, 2013 | 68 | 2013 |
| High precision symplectic integrators for the solar system A Farrés, J Laskar, S Blanes, F Casas, J Makazaga, A Murua Celestial Mechanics and Dynamical Astronomy 116 (2), 141-174, 2013 | 63 | 2013 |
| Modified equations for ODEs MP Calvo, A Murua, JM Sanz-Serna Contemporary Mathematics 172, 63-63, 1994 | 62 | 1994 |
| Higher-order averaging, formal series and numerical integration I: B-series P Chartier, A Murua, JM Sanz-Serna Foundations of Computational Mathematics 10 (6), 695-727, 2010 | 61 | 2010 |
| Symplectic splitting operator methods for the time-dependent Schrödinger equation S Blanes, F Casas, A Murua The Journal of chemical physics 124 (23), 234105, 2006 | 60 | 2006 |
| Formal series and numerical integrators, Part I: Systems of ODEs and symplectic integrators A Murua Applied numerical mathematics 29 (2), 221-251, 1999 | 58 | 1999 |
| Preserving first integrals and volume forms of additively split systems P Chartier, A Murua IMA journal of numerical analysis 27 (2), 381-405, 2007 | 48 | 2007 |
| Higher-order averaging, formal series and numerical integration II: the quasi-periodic case P Chartier, A Murua, JM Sanz-Serna Foundations of Computational Mathematics 12, 471-508, 2012 | 42 | 2012 |
| Stroboscopic averaging for the nonlinear Schrödinger equation F Castella, P Chartier, F Méhats, A Murua Foundations of Computational Mathematics 15 (2), 519-559, 2015 | 39 | 2015 |
| Higher-order averaging, formal series and numerical integration III: error bounds P Chartier, A Murua, JM Sanz-Serna Foundations of Computational Mathematics 15, 591-612, 2015 | 37 | 2015 |
| Numerical stroboscopic averaging for ODEs and DAEs MP Calvo, P Chartier, A Murua, JM Sanz-Serna Applied numerical mathematics 61 (10), 1077-1095, 2011 | 37 | 2011 |
| A formal series approach to averaging: exponentially small error estimates P Chartier, A Murua, JM Sanz-Serna Discrete and Continuous Dynamical Systems-Series A 32 (9), 2012 | 34 | 2012 |
Fernando CasasUniversitat Jaume IVerified email at uji.es
