# Sergio Blanes

According to our database

^{1}, Sergio Blanes## Timeline

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## Bibliography

2018

Symplectic integrators for second-order linear non-autonomous equations.

J. Computational Applied Mathematics, 2018

2017

Symplectic integrators for the matrix Hill equation.

J. Computational Applied Mathematics, 2017

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations.

Computer Physics Communications, 2017

2016

Efficient numerical integration of Nth-order non-autonomous linear differential equations.

J. Computational Applied Mathematics, 2016

2015

The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices.

SIAM J. Matrix Analysis Applications, 2015

High order structure preserving explicit methods for solving linear-quadratic optimal control problems.

Numerical Algorithms, 2015

An efficient algorithm based on splitting for the time integration of the Schrödinger equation.

J. Comput. Physics, 2015

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods.

Computer Physics Communications, 2015

2014

Numerical Integrators for the Hybrid Monte Carlo Method.

SIAM J. Scientific Computing, 2014

Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor.

J. Computational Applied Mathematics, 2014

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems.

Applied Mathematics and Computation, 2014

Whole mathematics competences assessment at aerospace engineering sophomore.

Proceedings of the IEEE Frontiers in Education Conference, 2014

2013

Optimized high-order splitting methods for some classes of parabolic equations.

Math. Comput., 2013

2012

Magnus integrators for solving linear-quadratic differential games.

J. Computational Applied Mathematics, 2012

2011

Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation.

SIAM J. Scientific Computing, 2011

New efficient numerical methods to describe the heat transfer in a solid medium.

Mathematical and Computer Modelling, 2011

2010

Splitting and composition methods for explicit time dependence in separable dynamical systems.

J. Computational Applied Mathematics, 2010

2008

On the Linear Stability of Splitting Methods.

Foundations of Computational Mathematics, 2008

2007

Splitting methods for non-autonomous linear systems.

Int. J. Comput. Math., 2007

2006

Composition Methods for Differential Equations with Processing.

SIAM J. Scientific Computing, 2006

2005

Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance.

SIAM J. Scientific Computing, 2005

Raising the order of geometric numerical integrators by composition and extrapolation.

Numerical Algorithms, 2005

2004

On the Numerical Integration of Ordinary Differential Equations by Processed Methods.

SIAM J. Numerical Analysis, 2004

2003

Optimization of Lie group methods for differential equations.

Future Generation Comp. Syst., 2003

2000

New Families of Symplectic Runge-Kutta-Nyström Integration Methods.

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

Symplectic Integration with Processing: A General Study.

SIAM J. Scientific Computing, 1999