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ORCIDSergio Blanes
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2020 – today
- 2024
[j37]Sergio Blanes
, Fernando Casas, Ander Murua:
Splitting methods for differential equations. Acta Numer. 33: 1-161 (2024)- [j36]Sergio Blanes, Fernando Casas, Luke Shaw:
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. Appl. Math. Comput. 473: 128663 (2024) - [j35]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: 109007 (2024) - [i17]Sergio Blanes, Fernando Casas, Ander Murua:
Splitting Methods for differential equations. CoRR abs/2401.01722 (2024) - [i16]Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer:
Symmetric-conjugate splitting methods for evolution equations of parabolic type. CoRR abs/2401.04196 (2024) - [i15]Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs:
Families of efficient low order processed composition methods. CoRR abs/2404.04340 (2024) - [i14]Sergio Blanes, Nikita Kopylov, Muaz Seydaoglu:
Efficient scaling and squaring method for the matrix exponential. CoRR abs/2404.12789 (2024) - [i13]Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer:
Splitting methods with complex coefficients for linear and nonlinear evolution equations. CoRR abs/2410.13011 (2024) - 2023
- [i12]Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs:
Symmetric-conjugate splitting methods for linear unitary problems. CoRR abs/2303.10950 (2023) - [i11]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 abs/2310.08969 (2023) - [i10]Sergio Blanes, Fernando Casas, Luke Shaw:
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. CoRR abs/2311.11581 (2023) - 2022
- [j34]Sergio Blanes, Fernando Casas:
Preface for the special issue "Geometric numerical integration, twenty-five years later". Int. J. Comput. Math. 99(1): 1-3 (2022) - [j33]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: 383-400 (2022) - [j32]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): 1739-1761 (2022) - [i9]Fernando Casas, Sergio Blanes, Alejandro Escorihuela-Tomàs:
Runge-Kutta-Nyström symplectic splitting methods of order 8. CoRR abs/2202.01541 (2022) - [i8]Sergio Blanes:
Parallel Computation of functions of matrices and their action on vectors. CoRR abs/2210.03714 (2022) - 2021
- [j31]Sergio Blanes:
Novel parallel in time integrators for ODEs. Appl. Math. Lett. 122: 107542 (2021) - [j30]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) - [j29]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): A3357-A3371 (2021) - [i7]Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas:
On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR abs/2101.04100 (2021) - [i6]Sergio Blanes, Arieh Iserles, Shev MacNamara:
Positivity-preserving methods for population models. CoRR abs/2102.08242 (2021) - [i5]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 abs/2103.10132 (2021) - [i4]Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs:
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. CoRR abs/2104.02412 (2021) - 2020
- [j28]Sergio Blanes, Vasile Gradinaru:
High order efficient splittings for the semiclassical time-dependent Schrödinger equation. J. Comput. Phys. 405: 109157 (2020) - [i3]Muaz Seydaoglu, Philipp Bader, Sergio Blanes, Fernando Casas:
Computing the matrix sine and cosine simultaneously with a reduced number of products. CoRR abs/2010.00465 (2020) - [i2]Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna:
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR abs/2011.04401 (2020)
2010 – 2019
- 2019
- [j27]Sergio Blanes:
On the construction of symmetric second order methods for ODEs. Appl. Math. Lett. 98: 41-48 (2019) - [j26]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: 130-138 (2019) - [i1]Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer:
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. CoRR abs/1910.12097 (2019) - 2018
- [j25]Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov, Enrique Ponsoda:
Symplectic integrators for second-order linear non-autonomous equations. J. Comput. Appl. Math. 330: 909-919 (2018) - [j24]Sergio Blanes:
Time-Average on the Numerical Integration of Nonautonomous Differential Equations. SIAM J. Numer. Anal. 56(4): 2513-2536 (2018) - 2017
- [j23]Sergio Blanes, Fernando Casas, Mechthild Thalhammer:
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. 220: 243-262 (2017) - [j22]Philipp Bader, Sergio Blanes, Enrique Ponsoda, Muaz Seydaoglu:
Symplectic integrators for the matrix Hill equation. J. Comput. Appl. Math. 316: 47-59 (2017) - 2016
- [j21]Philipp Bader, Sergio Blanes, Fernando Casas, Enrique Ponsoda:
Efficient numerical integration of Nth-order non-autonomous linear differential equations. J. Comput. Appl. Math. 291: 380-390 (2016) - 2015
- [j20]Sergio Blanes:
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods. Comput. Phys. Commun. 193: 10-18 (2015) - [j19]Sergio Blanes, Fernando Casas, Ander Murua:
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. 303: 396-412 (2015) - [j18]Sergio Blanes:
High order structure preserving explicit methods for solving linear-quadratic optimal control problems. Numer. Algorithms 69(2): 271-290 (2015) - [j17]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): 594-614 (2015) - 2014
- [j16]Enrique Ponsoda, Sergio Blanes:
Exponential integrators for coupled self-adjoint non-autonomous partial differential systems. Appl. Math. Comput. 243: 1-11 (2014) - [j15]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: 223-233 (2014) - [j14]Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna:
Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. 36(4) (2014) - [c2]Sergio Blanes, Francisco Mínguez, José Antonio Moraño, María Dolores Roselló, Luis Manuel Sánchez Ruiz:
Whole mathematics competences assessment at aerospace engineering sophomore. FIE 2014: 1-4 - 2013
- [j13]Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua:
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82(283): 1559-1576 (2013) - 2012
- [j12]Sergio Blanes, Enrique Ponsoda:
Magnus integrators for solving linear-quadratic differential games. J. Comput. Appl. Math. 236(14): 3394-3408 (2012) - 2011
- [j11]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): 1858-1862 (2011) - [j10]Sergio Blanes, Fernando Casas, Ander Murua:
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. 33(4): 1525-1548 (2011) - 2010
- [j9]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): 646-659 (2010)
2000 – 2009
- 2008
- [j8]Sergio Blanes, Fernando Casas, Ander Murua:
On the Linear Stability of Splitting Methods. Found. Comput. Math. 8(3): 357-393 (2008) - 2007
- [j7]Sergio Blanes, Fernando Casas, Ander Murua:
Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84(6): 713-727 (2007) - 2006
- [j6]Sergio Blanes, Fernando Casas, Ander Murua:
Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. 27(6): 1817-1843 (2006) - 2005
- [j5]Sergio Blanes, Fernando Casas:
Raising the order of geometric numerical integrators by composition and extrapolation. Numer. Algorithms 38(4): 305-326 (2005) - [j4]Sergio Blanes, Chris J. Budd:
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance. SIAM J. Sci. Comput. 26(4): 1089-1113 (2005) - 2004
- [j3]Sergio Blanes, Fernando Casas, Ander Murua:
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. 42(2): 531-552 (2004) - 2003
- [j2]Sergio Blanes, Fernando Casas:
Optimization of Lie group methods for differential equations. Future Gener. Comput. Syst. 19(3): 331-339 (2003) - 2000
- [c1]Sergio Blanes, Fernando Casas, José Ros:
New Families of Symplectic Runge-Kutta-Nyström Integration Methods. NAA 2000: 102-109
1990 – 1999
- 1999
- [j1]Sergio Blanes, Fernando Casas, José Ros:
Symplectic Integration with Processing: A General Study. SIAM J. Sci. Comput. 21(2): 711-727 (1999)
Coauthor Index
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