The Magnus expansion and some of its applications S Blanes, F Casas, JA Oteo, J Ros Physics reports 470 (5-6), 151-238, 2009 | 1364 | 2009 |
Practical symplectic partitioned runge–kutta and runge–kutta–nyström methods S Blanes, PC Moan Journal of computational and applied mathematics 142 (2), 313-330, 2002 | 308 | 2002 |
A concise introduction to geometric numerical integration S Blanes, F Casas CRC press, 2017 | 258 | 2017 |
Magnus and Fer expansions for matrix differential equations: the convergence problem S Blanes, F Casas, JA Oteo, J Ros Journal of Physics A: Mathematical and General 31 (1), 259, 1998 | 179 | 1998 |
Splitting and composition methods in the numerical integration of differential equations S Blanes, F Casas, A Murua arXiv preprint arXiv:0812.0377, 2008 | 166 | 2008 |
Improved high order integrators based on the Magnus expansion S Blanes, F Casas, J Ros BIT Numerical Mathematics 40 (3), 434-450, 2000 | 140 | 2000 |
Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems S Blanes, PC Moan Applied Numerical Mathematics 56 (12), 1519-1537, 2006 | 110 | 2006 |
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 | 109 | 2013 |
On the necessity of negative coefficients for operator splitting schemes of order higher than two S Blanes, F Casas Applied Numerical Mathematics 54 (1), 23-37, 2005 | 109 | 2005 |
Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients P Bader, S Blanes, F Casas The Journal of chemical physics 139 (12), 2013 | 105 | 2013 |
A pedagogical approach to the Magnus expansion S Blanes, F Casas, JA Oteo, J Ros European Journal of Physics 31 (4), 907, 2010 | 105 | 2010 |
Numerical integrators for the Hybrid Monte Carlo method S Blanes, F Casas, JM Sanz-Serna SIAM Journal on Scientific Computing 36 (4), A1556-A1580, 2014 | 90 | 2014 |
Splitting methods for the time-dependent Schrödinger equation S Blanes, PC Moan Physics letters A 265 (1-2), 35-42, 2000 | 88 | 2000 |
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 | 77 | 2013 |
High order optimized geometric integrators for linear differential equations S Blanes, F Casas, J Ros BIT Numerical Mathematics 42, 262-284, 2002 | 74 | 2002 |
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 | 69 | 2013 |
Symplectic splitting operator methods for the time-dependent Schrödinger equation S Blanes, F Casas, A Murua The Journal of chemical physics 124 (23), 2006 | 68 | 2006 |
On the convergence and optimization of the Baker–Campbell–Hausdorff formula S Blanes, F Casas Linear algebra and its applications 378, 135-158, 2004 | 64 | 2004 |
Symplectic integration with processing: A general study S Blanes, F Casas, J Ros SIAM Journal on Scientific Computing 21 (2), 711-727, 1999 | 64 | 1999 |
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations S Blanes, F Casas, M Thalhammer Computer Physics Communications 220, 243-262, 2017 | 51 | 2017 |