Sergio Blanes

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 32

Top Topics

Monte Carlo Sampling

Optimal Control

Numerical Integration

Top Venues

J. Comput. Appl. Math.

Comput. Phys. Commun.

Appl. Math. Comput.

Publications

Sergio Blanes, Fernando Casas, Luke Shaw
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. Appl. Math. Comput. 473 (2024)
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Families of efficient low order processed composition methods. CoRR (2024)
Sergio Blanes, Fernando Casas, Ander Murua
Splitting Methods for differential equations. CoRR (2024)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. Comput. Phys. Commun. 295 (2024)
Sergio Blanes, Nikita Kopylov, Muaz Seydaoglu
Efficient scaling and squaring method for the matrix exponential. CoRR (2024)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Symmetric-conjugate splitting methods for evolution equations of parabolic type. CoRR (2024)
Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Symmetric-conjugate splitting methods for linear unitary problems. CoRR (2023)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. CoRR (2023)
Sergio Blanes, Fernando Casas, Luke Shaw
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. CoRR (2023)
Sergio Blanes, Fernando Casas
Preface for the special issue "Geometric numerical integration, twenty-five years later". Int. J. Comput. Math. 99 (1) (2022)
Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs
On symmetric-conjugate composition methods in the numerical integration of differential equations. Math. Comput. 91 (336) (2022)
F. Casas, Sergio Blanes, Alejandro Escorihuela-Tomàs
Runge-Kutta-Nyström symplectic splitting methods of order 8. CoRR (2022)
Philipp Bader, Sergio Blanes, Fernando Casas, Muaz Seydaoglu
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Math. Comput. Simul. 194 (2022)
Sergio Blanes
Parallel Computation of functions of matrices and their action on vectors. CoRR (2022)
Adrián Gómez Pueyo, Sergio Blanes, Alberto Castro
Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics. Comput. Math. Methods 3 (3) (2021)
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. CoRR (2021)
Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas
On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR (2021)
Sergio Blanes, Arieh Iserles, Shev MacNamara
Positivity-preserving methods for population models. CoRR (2021)
Sergio Blanes
Novel parallel in time integrators for ODEs. Appl. Math. Lett. 122 (2021)
Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling. SIAM J. Sci. Comput. 43 (5) (2021)
Philipp Bader, Sergio Blanes, Fernando Casas, Muaz Seydaoglu
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. CoRR (2021)
Sergio Blanes, Vasile Gradinaru
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. J. Comput. Phys. 405 (2020)
Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR (2020)
Muaz Seydaoglu, Philipp Bader, Sergio Blanes, Fernando Casas
Computing the matrix sine and cosine simultaneously with a reduced number of products. CoRR (2020)
Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. J. Comput. Appl. Math. 350 (2019)
Sergio Blanes
On the construction of symmetric second order methods for ODEs. Appl. Math. Lett. 98 (2019)
Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. CoRR (2019)
Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov, Enrique Ponsoda
Symplectic integrators for second-order linear non-autonomous equations. J. Comput. Appl. Math. 330 (2018)
Sergio Blanes
Time-Average on the Numerical Integration of Nonautonomous Differential Equations. SIAM J. Numer. Anal. 56 (4) (2018)
Philipp Bader, Sergio Blanes, Enrique Ponsoda, Muaz Seydaoglu
Symplectic integrators for the matrix Hill equation. J. Comput. Appl. Math. 316 (2017)
Sergio Blanes, Fernando Casas, Mechthild Thalhammer
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. 220 (2017)
Philipp Bader, Sergio Blanes, Fernando Casas, Enrique Ponsoda
Efficient numerical integration of Nth-order non-autonomous linear differential equations. J. Comput. Appl. Math. 291 (2016)
Sergio Blanes
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods. Comput. Phys. Commun. 193 (2015)
Sergio Blanes
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Numer. Algorithms 69 (2) (2015)
Sergio Blanes, Fernando Casas, Ander Murua
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. 303 (2015)
Philipp Bader, Sergio Blanes, Muaz Seydaoglu
The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Sergio Blanes, Francisco Mínguez, José Antonio Moraño, María Dolores Roselló, Luis Manuel Sánchez Ruiz
Whole mathematics competences assessment at aerospace engineering sophomore. FIE (2014)
Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna
Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. 36 (4) (2014)
Philipp Bader, Sergio Blanes, Enrique Ponsoda
Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor. J. Comput. Appl. Math. 262 (2014)
Enrique Ponsoda, Sergio Blanes
Exponential integrators for coupled self-adjoint non-autonomous partial differential systems. Appl. Math. Comput. 243 (2014)
Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82 (283) (2013)
Sergio Blanes, Enrique Ponsoda
Magnus integrators for solving linear-quadratic differential games. J. Comput. Appl. Math. 236 (14) (2012)
Sergio Blanes, Fernando Casas, Ander Murua
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. 33 (4) (2011)
Enrique Ponsoda, Sergio Blanes, Philipp Bader
New efficient numerical methods to describe the heat transfer in a solid medium. Math. Comput. Model. 54 (7-8) (2011)
Sergio Blanes, Fasma Diele, Carmela Marangi, Stefania Ragni
Splitting and composition methods for explicit time dependence in separable dynamical systems. J. Comput. Appl. Math. 235 (3) (2010)
Sergio Blanes, Fernando Casas, Ander Murua
On the Linear Stability of Splitting Methods. Found. Comput. Math. 8 (3) (2008)
Sergio Blanes, Fernando Casas, Ander Murua
Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84 (6) (2007)
Sergio Blanes, Fernando Casas, Ander Murua
Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. 27 (6) (2006)
Sergio Blanes, Fernando Casas
Raising the order of geometric numerical integrators by composition and extrapolation. Numer. Algorithms 38 (4) (2005)
Sergio Blanes, Chris J. Budd
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance. SIAM J. Sci. Comput. 26 (4) (2005)
Sergio Blanes, Fernando Casas, Ander Murua
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. 42 (2) (2004)
Sergio Blanes, Fernando Casas
Optimization of Lie group methods for differential equations. Future Gener. Comput. Syst. 19 (3) (2003)
Sergio Blanes, Fernando Casas, José Ros
New Families of Symplectic Runge-Kutta-Nyström Integration Methods. NAA (2000)
Sergio Blanes, Fernando Casas, José Ros
Symplectic Integration with Processing: A General Study. SIAM J. Sci. Comput. 21 (2) (1999)