Sergio Blanes
Orcid: 0000-0001-5819-8898
According to our database1,
Sergio Blanes
authored at least 47 papers
between 1999 and 2024.
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Bibliography
2024
CoRR, 2024
2023
CoRR, 2023
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.
CoRR, 2023
2022
On symmetric-conjugate composition methods in the numerical integration of differential equations.
Math. Comput., 2022
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation.
Math. Comput. Simul., 2022
Preface for the special issue "Geometric numerical integration, twenty-five years later".
Int. J. Comput. Math., 2022
CoRR, 2022
2021
Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling.
SIAM J. Sci. Comput., 2021
Applying splitting methods with complex coefficients to the numerical integration of unitary problems.
CoRR, 2021
Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics.
Comput. Math. Methods, 2021
2020
High order efficient splittings for the semiclassical time-dependent Schrödinger equation.
J. Comput. Phys., 2020
Computing the matrix sine and cosine simultaneously with a reduced number of products.
CoRR, 2020
2019
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass.
J. Comput. Appl. Math., 2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term.
CoRR, 2019
Appl. Math. Lett., 2019
2018
SIAM J. Numer. Anal., 2018
J. Comput. Appl. Math., 2018
2017
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations.
Comput. Phys. Commun., 2017
2016
Efficient numerical integration of Nth-order non-autonomous linear differential equations.
J. Comput. Appl. Math., 2016
2015
The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices.
SIAM J. Matrix Anal. Appl., 2015
High order structure preserving explicit methods for solving linear-quadratic optimal control problems.
Numer. Algorithms, 2015
An efficient algorithm based on splitting for the time integration of the Schrödinger equation.
J. Comput. Phys., 2015
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods.
Comput. Phys. Commun., 2015
2014
Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor.
J. Comput. Appl. Math., 2014
Exponential integrators for coupled self-adjoint non-autonomous partial differential systems.
Appl. Math. Comput., 2014
Proceedings of the IEEE Frontiers in Education Conference, 2014
2013
Math. Comput., 2013
2012
J. Comput. Appl. Math., 2012
2011
SIAM J. Sci. Comput., 2011
Math. Comput. Model., 2011
2010
Splitting and composition methods for explicit time dependence in separable dynamical systems.
J. Comput. Appl. Math., 2010
2008
2007
2006
SIAM J. Sci. Comput., 2006
2005
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance.
SIAM J. Sci. Comput., 2005
Raising the order of geometric numerical integrators by composition and extrapolation.
Numer. Algorithms, 2005
2004
On the Numerical Integration of Ordinary Differential Equations by Processed Methods.
SIAM J. Numer. Anal., 2004
2003
Future Gener. Comput. Syst., 2003
2000
Proceedings of the Numerical Analysis and Its Applications, 2000
1999