Fernando Casas
Title
Cited by
Cited by
Year
The Magnus expansion and some of its applications
S Blanes, F Casas, JA Oteo, J Ros
Physics reports 470 (5-6), 151-238, 2009
8872009
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
1591998
A concise introduction to geometric numerical integration
S Blanes, F Casas
CRC press, 2017
1222017
Improved high order integrators based on the Magnus expansion
S Blanes, F Casas, J Ros
BIT Numerical Mathematics 40 (3), 434-450, 2000
1222000
Splitting and composition methods in the numerical integration of differential equations
S Blanes, F Casas, A Murua
arXiv preprint arXiv:0812.0377, 2008
1132008
Floquet theory: exponential perturbative treatment
F Casas, JA Oteo, J Ros
Journal of Physics A: Mathematical and General 34 (16), 3379, 2001
922001
Efficient computation of the Zassenhaus formula
F Casas, A Murua, M Nadinic
Computer Physics Communications 183 (11), 2386-2391, 2012
902012
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
892009
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
802005
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
752013
Sufficient conditions for the convergence of the Magnus expansion
F Casas
Journal of Physics A: Mathematical and Theoretical 40 (50), 15001, 2007
682007
High order optimized geometric integrators for linear differential equations
S Blanes, F Casas, J Ros
BIT Numerical Mathematics 42 (2), 262-284, 2002
672002
Explicit Magnus expansions for nonlinear equations
F Casas, A Iserles
Journal of Physics A: Mathematical and General 39 (19), 5445, 2006
652006
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), 124117, 2013
622013
A pedagogical approach to the Magnus expansion
S Blanes, F Casas, JA Oteo, J Ros
European journal of physics 31 (4), 907, 2010
592010
Symplectic integration with processing: A general study
S Blanes, F Casas, J Ros
SIAM Journal on Scientific Computing 21 (2), 711-727, 1999
581999
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
562014
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
552013
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
532006
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
482013
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