Fernando Casas

62 papers Journal 61Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	An efficient procedure to compute the continuous Baker-Campbell-Hausdorff formula. Appl. Math. Comput. Ana Arnal, Fernando Casas, Cristina Chiralt
2025	J	`jnl`	Approximating exponentials of commutators by optimized product formulas. Quantum Inf. Process. Fernando Casas, Alejandro Escorihuela-Tomàs, Pablo Antonio Moreno Casares
2025	J	`jnl`	On alternating-conjugate splitting methods. CoRR Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomas
2024	J	`jnl`	A unifying framework for perturbative exponential factorizations. CoRR Ana Arnal, Fernando Casas, Cristina Chiralt
2024	J	`jnl`	Exponential perturbative expansions and coordinate transformations. CoRR Ana Arnal, Fernando Casas, Cristina Chiralt
2024	J	`jnl`	Families of efficient low order processed composition methods. CoRR Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
2024	J	`jnl`	Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. Comput. Phys. Commun. Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2024	J	`jnl`	Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. Appl. Math. Comput. Sergio Blanes, Fernando Casas, Luke Shaw
2024	J	`jnl`	Splitting Methods for differential equations. CoRR Sergio Blanes, Fernando Casas, Ander Murua
2024	J	`jnl`	Splitting methods for differential equations. Acta Numer. Sergio Blanes, Fernando Casas, Ander Murua
2024	J	`jnl`	Splitting methods with complex coefficients for linear and nonlinear evolution equations. CoRR Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2024	J	`jnl`	Splitting techniques for approximating the exponential of commutators. CoRR Fernando Casas, Alejandro Escorihuela-Tomàs
2024	J	`jnl`	Symmetric-conjugate splitting methods for evolution equations of parabolic type. CoRR Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2023	J	`jnl`	A New Optimality Property of Strang's Splitting. SIAM J. Numer. Anal. Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
2023	J	`jnl`	Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. CoRR Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2023	J	`jnl`	Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. CoRR Sergio Blanes, Fernando Casas, Luke Shaw
2023	J	`jnl`	Magnus integrators for linear and quasilinear delay differential equations. J. Comput. Appl. Math. Ana Arnal, Fernando Casas, Cristina Chiralt
2023	J	`jnl`	Symmetric-conjugate splitting methods for linear unitary problems. CoRR Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
2022	J	`jnl`	A New Optimality Property of Strang's Splitting. CoRR Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
2022	J	`jnl`	An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. Math. Comput. Simul. Philipp Bader, Sergio Blanes, Fernando Casas, Muaz Seydaoglu
2022	J	`jnl`	High order integrators obtained by linear combinations of symmetric-conjugate compositions. Appl. Math. Comput. Fernando Casas, Alejandro Escorihuela-Tomàs
2022	J	`jnl`	Magnus integrators for linear and quasilinear delay differential equations. CoRR Ana Arnal, Fernando Casas, Cristina Chiralt
2022	J	`jnl`	On symmetric-conjugate composition methods in the numerical integration of differential equations. Math. Comput. Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs
2022	J	`jnl`	Preface for the special issue "Geometric numerical integration, twenty-five years later". Int. J. Comput. Math. Sergio Blanes, Fernando Casas
2022	J	`jnl`	Runge-Kutta-Nyström symplectic splitting methods of order 8. CoRR Fernando Casas, Sergio Blanes, Alejandro Escorihuela-Tomàs
2022	J	`jnl`	Split Hamiltonian Monte Carlo revisited. Stat. Comput. Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
2021	J	`jnl`	An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation. CoRR Philipp Bader, Sergio Blanes, Fernando Casas, Muaz Seydaoglu
2021	J	`jnl`	Applying splitting methods with complex coefficients to the numerical integration of unitary problems. CoRR Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
2021	J	`jnl`	Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. J. Comput. Appl. Math. Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
2021	J	`jnl`	High order integrators obtained by linear combinations of symmetric-conjugate compositions. CoRR Fernando Casas, Alejandro Escorihuela-Tomàs
2021	J	`jnl`	On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas
2021	J	`jnl`	Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling. SIAM J. Sci. Comput. Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
2020	J	`jnl`	Composition Methods for Dynamical Systems Separable into Three Parts. CoRR Fernando Casas, Alejandro Escorihuela-Tomas
2020	J	`jnl`	Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. CoRR Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
2020	J	`jnl`	Computing the matrix sine and cosine simultaneously with a reduced number of products. CoRR Muaz Seydaoglu, Philipp Bader, Sergio Blanes, Fernando Casas
2020	J	`jnl`	Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Appl. Math. Comput. Mohammad Hajiketabi, Fernando Casas
2020	J	`jnl`	Splitting Methods for Rotations: Application to Vlasov Equations. SIAM J. Sci. Comput. Joackim Bernier, Fernando Casas, Nicolas Crouseilles
2020	J	`jnl`	Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
2019	J	`jnl`	Efficient time integration methods for Gross-Pitaevskii equations with rotation term. CoRR Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer
2019	J	`jnl`	Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass. J. Comput. Appl. Math. Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov
2018	J	`jnl`	Symplectic integrators for second-order linear non-autonomous equations. J. Comput. Appl. Math. Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov, Enrique Ponsoda
2018	J	`jnl`	The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Appl. Math. Comput. Mohammad Hajiketabi, Saeid Abbasbandy, Fernando Casas
2017	J	`jnl`	High-order Hamiltonian splitting for the Vlasov-Poisson equations. Numerische Mathematik Fernando Casas, Nicolas Crouseilles, Erwan Faou, Michel Mehrenberger
2017	J	`jnl`	High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. Sergio Blanes, Fernando Casas, Mechthild Thalhammer
2017	J	`jnl`	On the structure and convergence of the symmetric Zassenhaus formula. Comput. Phys. Commun. Ana Arnal, Fernando Casas, Cristina Chiralt
2016	J	`jnl`	A perturbative algorithm for quasi-periodic linear systems close to constant coefficients. Appl. Math. Comput. Ana Arnal, Fernando Casas, Cristina Chiralt
2016	J	`jnl`	Efficient numerical integration of Nth-order non-autonomous linear differential equations. J. Comput. Appl. Math. Philipp Bader, Sergio Blanes, Fernando Casas, Enrique Ponsoda
2015	J	`jnl`	An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. Sergio Blanes, Fernando Casas, Ander Murua
2014	J	`jnl`	Exponential polar factorization of the fundamental matrix of linear differential systems. J. Comput. Appl. Math. Ana Arnal, Fernando Casas
2014	J	`jnl`	Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna
2013	J	`jnl`	Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
2012	J	`jnl`	Efficient computation of the Zassenhaus formula. Comput. Phys. Commun. Fernando Casas, Ander Murua, Mladen Nadinic
2011	J	`jnl`	Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. Sergio Blanes, Fernando Casas, Ander Murua
2008	J	`jnl`	On the Linear Stability of Splitting Methods. Found. Comput. Math. Sergio Blanes, Fernando Casas, Ander Murua
2007	J	`jnl`	Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. Sergio Blanes, Fernando Casas, Ander Murua
2006	J	`jnl`	Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. Sergio Blanes, Fernando Casas, Ander Murua
2005	J	`jnl`	Raising the order of geometric numerical integrators by composition and extrapolation. Numer. Algorithms Sergio Blanes, Fernando Casas
2004	J	`jnl`	A fuzzy system cardio pulmonary bypass rotary blood pump controller. Expert Syst. Appl. Fernando Casas, A. Orozco, William A. Smith, J. Alexis De Abreu Garcia, John Durkin
2004	J	`jnl`	On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. Sergio Blanes, Fernando Casas, Ander Murua
2003	J	`jnl`	Optimization of Lie group methods for differential equations. Future Gener. Comput. Syst. Sergio Blanes, Fernando Casas
2000	—	`conf`	New Families of Symplectic Runge-Kutta-Nyström Integration Methods. NAA Sergio Blanes, Fernando Casas, José Ros
1999	J	`jnl`	Symplectic Integration with Processing: A General Study. SIAM J. Sci. Comput. Sergio Blanes, Fernando Casas, José Ros