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Fernando Casas
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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
13732009
A concise introduction to geometric numerical integration
S Blanes, F Casas
CRC press, 2017
2572017
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
1801998
Splitting and composition methods in the numerical integration of differential equations
S Blanes, F Casas, A Murua
arXiv preprint arXiv:0812.0377, 2008
1682008
Efficient computation of the Zassenhaus formula
F Casas, A Murua, M Nadinic
Computer Physics Communications 183 (11), 2386-2391, 2012
1492012
Floquet theory: exponential perturbative treatment
F Casas, JA Oteo, J Ros
Journal of Physics A: Mathematical and General 34 (16), 3379, 2001
1462001
Improved high order integrators based on the Magnus expansion
S Blanes, F Casas, J Ros
BIT Numerical Mathematics 40 (3), 434-450, 2000
1402000
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), 2009
1162009
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
1112013
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
1102005
A pedagogical approach to the Magnus expansion
S Blanes, F Casas, JA Oteo, J Ros
European Journal of Physics 31 (4), 907, 2010
1062010
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
1052013
Sufficient conditions for the convergence of the Magnus expansion
F Casas
Journal of Physics A: Mathematical and Theoretical 40 (50), 15001, 2007
952007
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
922014
Explicit Magnus expansions for nonlinear equations
F Casas, A Iserles
Journal of Physics A: Mathematical and General 39 (19), 5445, 2006
862006
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
792013
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
702013
Symplectic splitting operator methods for the time-dependent Schrödinger equation
S Blanes, F Casas, A Murua
The Journal of chemical physics 124 (23), 2006
682006
On the convergence and optimization of the Baker–Campbell–Hausdorff formula
S Blanes, F Casas
Linear algebra and its applications 378, 135-158, 2004
652004
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