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Sergio Blanes
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The Magnus expansion and some of its applications
S Blanes, F Casas, JA Oteo, J Ros
Physics reports 470 (5-6), 151-238, 2009
13212009
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
2982002
A concise introduction to geometric numerical integration
S Blanes, F Casas
CRC press, 2017
2442017
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
1761998
Splitting and composition methods in the numerical integration of differential equations
S Blanes, F Casas, A Murua
arXiv preprint arXiv:0812.0377, 2008
1672008
Improved high order integrators based on the Magnus expansion
S Blanes, F Casas, J Ros
BIT Numerical Mathematics 40 (3), 434-450, 2000
1372000
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
1092006
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
1062013
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
1052005
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
1042013
A pedagogical approach to the Magnus expansion
S Blanes, F Casas, JA Oteo, J Ros
European Journal of Physics 31 (4), 907, 2010
1022010
Splitting methods for the time-dependent Schrödinger equation
S Blanes, PC Moan
Physics letters A 265 (1-2), 35-42, 2000
892000
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
872014
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
762013
High order optimized geometric integrators for linear differential equations
S Blanes, F Casas, J Ros
BIT Numerical Mathematics 42, 262-284, 2002
742002
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
662013
Symplectic splitting operator methods for the time-dependent Schrödinger equation
S Blanes, F Casas, A Murua
The Journal of chemical physics 124 (23), 2006
662006
Symplectic integration with processing: A general study
S Blanes, F Casas, J Ros
SIAM Journal on Scientific Computing 21 (2), 711-727, 1999
611999
On the convergence and optimization of the Baker–Campbell–Hausdorff formula
S Blanes, F Casas
Linear algebra and its applications 378, 135-158, 2004
592004
Splitting methods for non-autonomous Hamiltonian equations
S Blanes, PC Moan
Journal of Computational Physics 170 (1), 205-230, 2001
522001
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