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)

A fuzzy system cardio pulmonary bypass rotary blood pump controller. - Fernando Casas; A. Orozco; William A. Smith; J. Alexis De Abreu Garcia; John Durkin (Expert Syst. Appl., 2004)

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)

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)

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

Efficient computation of the Zassenhaus formula. - Fernando Casas; Ander Murua; Mladen Nadinic (Comput. Phys. Commun., 2012)

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

Exponential polar factorization of the fundamental matrix of linear differential systems. - Ana Arnal; Fernando Casas (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)

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

A perturbative algorithm for quasi-periodic linear systems close to constant coefficients. - Ana Arnal; Fernando Casas; Cristina Chiralt (Appl. Math. Comput., 2016)

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

On the structure and convergence of the symmetric Zassenhaus formula. - Ana Arnal; Fernando Casas; Cristina Chiralt (Comput. Phys. Commun., 2017)

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

High-order Hamiltonian splitting for the Vlasov-Poisson equations. - Fernando Casas; Nicolas Crouseilles; Erwan Faou; Michel Mehrenberger (Numerische Mathematik, 2017)

The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. - Mohammad Hajiketabi; Saeid Abbasbandy; Fernando Casas (Appl. Math. Comput., 2018)

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

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)

Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. - Mohammad Hajiketabi; Fernando Casas (Appl. Math. Comput., 2020)

Composition Methods for Dynamical Systems Separable into Three Parts. - Fernando Casas; Alejandro Escorihuela-Tomas (CoRR, 2020)

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

Splitting Methods for Rotations: Application to Vlasov Equations. - Joackim Bernier; Fernando Casas; Nicolas Crouseilles (SIAM J. Sci. Comput., 2020)

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

Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. - Fernando Casas; Philippe Chartier; Alejandro Escorihuela-Tomas; Yong Zhang (J. Comput. Appl. Math., 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)

High order integrators obtained by linear combinations of symmetric-conjugate compositions. - Fernando Casas; Alejandro Escorihuela-Tomàs (Appl. Math. Comput., 2022)

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

Split Hamiltonian Monte Carlo revisited. - Fernando Casas; Jesús María Sanz-Serna; Luke Shaw (Stat. 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)

Magnus integrators for linear and quasilinear delay differential equations. - Ana Arnal; Fernando Casas; Cristina Chiralt (J. Comput. Appl. Math., 2023)

A New Optimality Property of Strang's Splitting. - Fernando Casas; Jesús María Sanz-Serna; Luke Shaw (SIAM J. Numer. Anal., 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)

A unifying framework for perturbative exponential factorizations. - Ana Arnal; Fernando Casas; Cristina Chiralt (CoRR, 2024)

Exponential perturbative expansions and coordinate transformations. - Ana Arnal; Fernando Casas; Cristina Chiralt (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)

An efficient procedure to compute the continuous Baker-Campbell-Hausdorff formula. - Ana Arnal; Fernando Casas; Cristina Chiralt (Appl. Math. Comput., 2025)

Approximating exponentials of commutators by optimized product formulas. - Fernando Casas; Alejandro Escorihuela-Tomàs; Pablo Antonio Moreno Casares (Quantum Inf. Process., 2025)

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