Symplectic Integration with Processing: A General Study. - Sergio Blanes; Fernando Casas; José Ros (SIAM J. Sci. Comput., 1999)

New Families of Symplectic Runge-Kutta-Nyström Integration Methods. - Sergio Blanes; Fernando Casas; José Ros (NAA, 2000)

Optimization of Lie group methods for differential equations. - Sergio Blanes; Fernando Casas (Future Gener. Comput. Syst., 2003)

On the Numerical Integration of Ordinary Differential Equations by Processed Methods. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Numer. Anal., 2004)

Raising the order of geometric numerical integrators by composition and extrapolation. - Sergio Blanes; Fernando Casas (Numer. Algorithms, 2005)

Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance. - Sergio Blanes; Chris J. Budd (SIAM J. Sci. Comput., 2005)

Composition Methods for Differential Equations with Processing. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Sci. Comput., 2006)

Splitting methods for non-autonomous linear systems. - Sergio Blanes; Fernando Casas; Ander Murua (Int. J. Comput. Math., 2007)

On the Linear Stability of Splitting Methods. - Sergio Blanes; Fernando Casas; Ander Murua (Found. Comput. Math., 2008)

Splitting and composition methods for explicit time dependence in separable dynamical systems. - Sergio Blanes; Fasma Diele; Carmela Marangi; Stefania Ragni (J. Comput. Appl. Math., 2010)

New efficient numerical methods to describe the heat transfer in a solid medium. - Enrique Ponsoda; Sergio Blanes; Philipp Bader (Math. Comput. Model., 2011)

Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. - Sergio Blanes; Fernando Casas; Ander Murua (SIAM J. Sci. Comput., 2011)

Magnus integrators for solving linear-quadratic differential games. - Sergio Blanes; Enrique Ponsoda (J. Comput. Appl. Math., 2012)

Optimized high-order splitting methods for some classes of parabolic equations. - Sergio Blanes; Fernando Casas; Philippe Chartier; Ander Murua (Math. Comput., 2013)

Whole mathematics competences assessment at aerospace engineering sophomore. - Sergio Blanes; Francisco Mínguez; José Antonio Moraño; María Dolores Roselló; Luis Manuel Sánchez Ruiz (FIE, 2014)

Exponential integrators for coupled self-adjoint non-autonomous partial differential systems. - Enrique Ponsoda; Sergio Blanes (Appl. Math. Comput., 2014)

Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor. - Philipp Bader; Sergio Blanes; Enrique Ponsoda (J. Comput. Appl. Math., 2014)

Numerical Integrators for the Hybrid Monte Carlo Method. - Sergio Blanes; Fernando Casas; Jesús María Sanz-Serna (SIAM J. Sci. Comput., 2014)

Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods. - Sergio Blanes (Comput. Phys. Commun., 2015)

An efficient algorithm based on splitting for the time integration of the Schrödinger equation. - Sergio Blanes; Fernando Casas; Ander Murua (J. Comput. Phys., 2015)

High order structure preserving explicit methods for solving linear-quadratic optimal control problems. - Sergio Blanes (Numer. Algorithms, 2015)

The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices. - Philipp Bader; Sergio Blanes; Muaz Seydaoglu (SIAM J. Matrix Anal. Appl., 2015)

Efficient numerical integration of Nth-order non-autonomous linear differential equations. - Philipp Bader; Sergio Blanes; Fernando Casas; Enrique Ponsoda (J. Comput. Appl. Math., 2016)

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. - Sergio Blanes; Fernando Casas; Mechthild Thalhammer (Comput. Phys. Commun., 2017)

Symplectic integrators for the matrix Hill equation. - Philipp Bader; Sergio Blanes; Enrique Ponsoda; Muaz Seydaoglu (J. Comput. Appl. Math., 2017)

Symplectic integrators for second-order linear non-autonomous equations. - Philipp Bader; Sergio Blanes; Fernando Casas; Nikita Kopylov; Enrique Ponsoda (J. Comput. Appl. Math., 2018)

Time-Average on the Numerical Integration of Nonautonomous Differential Equations. - Sergio Blanes (SIAM J. Numer. Anal., 2018)

On the construction of symmetric second order methods for ODEs. - Sergio Blanes (Appl. Math. Lett., 2019)

Efficient time integration methods for Gross-Pitaevskii equations with rotation term. - Philipp Bader; Sergio Blanes; Fernando Casas; Mechthild Thalhammer (CoRR, 2019)

Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. - Philipp Bader; Sergio Blanes; Fernando Casas; Nikita Kopylov (J. Comput. Appl. Math., 2019)

Computing the matrix sine and cosine simultaneously with a reduced number of products. - Muaz Seydaoglu; Philipp Bader; Sergio Blanes; Fernando Casas (CoRR, 2020)

High order efficient splittings for the semiclassical time-dependent Schrödinger equation. - Sergio Blanes; Vasile Gradinaru (J. Comput. Phys., 2020)

Novel parallel in time integrators for ODEs. - Sergio Blanes (Appl. Math. Lett., 2021)

Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics. - Adrián Gómez Pueyo; Sergio Blanes; Alberto Castro (Comput. Math. Methods, 2021)

Positivity-preserving methods for population models. - Sergio Blanes; Arieh Iserles; Shev MacNamara (CoRR, 2021)

Applying splitting methods with complex coefficients to the numerical integration of unitary problems. - Sergio Blanes; Fernando Casas; Alejandro Escorihuela-Tomàs (CoRR, 2021)

Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling. - Sergio Blanes; Mari Paz Calvo; Fernando Casas; Jesús María Sanz-Serna (SIAM J. Sci. Comput., 2021)

Runge-Kutta-Nyström symplectic splitting methods of order 8. - Fernando Casas; Sergio Blanes; Alejandro Escorihuela-Tomàs (CoRR, 2022)

Parallel Computation of functions of matrices and their action on vectors. - Sergio Blanes (CoRR, 2022)

Preface for the special issue "Geometric numerical integration, twenty-five years later". - Sergio Blanes; Fernando Casas (Int. J. Comput. Math., 2022)

An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. - Philipp Bader; Sergio Blanes; Fernando Casas; Muaz Seydaoglu (Math. Comput. Simul., 2022)

On symmetric-conjugate composition methods in the numerical integration of differential equations. - Sergio Blanes; Fernando Casas; Philippe Chartier; Alejandro Escorihuela-Tomàs (Math. Comput., 2022)

Symmetric-conjugate splitting methods for linear unitary problems. - Joackim Bernier; Sergio Blanes; Fernando Casas; Alejandro Escorihuela-Tomàs (CoRR, 2023)

Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2023)

Splitting methods for differential equations. - Sergio Blanes; Fernando Casas; Ander Murua (Acta Numer., 2024)

Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. - Sergio Blanes; Fernando Casas; Luke Shaw (Appl. Math. Comput., 2024)

Symmetric-conjugate splitting methods for evolution equations of parabolic type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2024)

Families of efficient low order processed composition methods. - Sergio Blanes; Fernando Casas; Alejandro Escorihuela-Tomàs (CoRR, 2024)

Splitting methods with complex coefficients for linear and nonlinear evolution equations. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2024)

Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (Comput. Phys. Commun., 2024)

Efficient Scaling and Squaring Method for the Matrix Exponential. - Sergio Blanes; Nikita Kopylov; Muaz Seydaoglu (SIAM J. Matrix Anal. Appl., 2025)

On alternating-conjugate splitting methods. - Joackim Bernier; Sergio Blanes; Fernando Casas; Alejandro Escorihuela-Tomas (CoRR, 2025)