Fernando Casas

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 40

Top Topics

Differential Equations

Linear Combination

Numerical Integration

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Comput. Phys. Commun.

Publications

Ana Arnal, Fernando Casas, Cristina Chiralt
A unifying framework for perturbative exponential factorizations. CoRR (2024)
Sergio Blanes, Fernando Casas, Luke Shaw
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. Appl. Math. Comput. 473 (2024)
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Families of efficient low order processed composition methods. CoRR (2024)
Sergio Blanes, Fernando Casas, Ander Murua
Splitting Methods for differential equations. CoRR (2024)
Ana Arnal, Fernando Casas, Cristina Chiralt
Exponential perturbative expansions and coordinate transformations. CoRR (2024)
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 (2024)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Symmetric-conjugate splitting methods for evolution equations of parabolic type. CoRR (2024)
Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
A New Optimality Property of Strang's Splitting. SIAM J. Numer. Anal. 61 (3) (2023)
Ana Arnal, Fernando Casas, Cristina Chiralt
Magnus integrators for linear and quasilinear delay differential equations. J. Comput. Appl. Math. 431 (2023)
Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Symmetric-conjugate splitting methods for linear unitary problems. CoRR (2023)
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 (2023)
Sergio Blanes, Fernando Casas, Luke Shaw
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme. CoRR (2023)
Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
A New Optimality Property of Strang's Splitting. CoRR (2022)
Sergio Blanes, Fernando Casas
Preface for the special issue "Geometric numerical integration, twenty-five years later". Int. J. Comput. Math. 99 (1) (2022)
Fernando Casas, Alejandro Escorihuela-Tomàs
High order integrators obtained by linear combinations of symmetric-conjugate compositions. Appl. Math. Comput. 414 (2022)
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) (2022)
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 (2022)
Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
Split Hamiltonian Monte Carlo revisited. Stat. Comput. 32 (5) (2022)
Ana Arnal, Fernando Casas, Cristina Chiralt
Magnus integrators for linear and quasilinear delay differential equations. CoRR (2022)
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. J. Comput. Appl. Math. 381 (2021)
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. CoRR (2021)
Fernando Casas, Alejandro Escorihuela-Tomàs
High order integrators obtained by linear combinations of symmetric-conjugate compositions. CoRR (2021)
Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas
On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR (2021)
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) (2021)
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 (2021)
Mohammad Hajiketabi, Fernando Casas
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Appl. Math. Comput. 369 (2020)
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. CoRR (2020)
Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR (2020)
Joackim Bernier, Fernando Casas, Nicolas Crouseilles
Splitting Methods for Rotations: Application to Vlasov Equations. SIAM J. Sci. Comput. 42 (2) (2020)
Fernando Casas, Alejandro Escorihuela-Tomas
Composition Methods for Dynamical Systems Separable into Three Parts. CoRR (2020)
Muaz Seydaoglu, Philipp Bader, Sergio Blanes, Fernando Casas
Computing the matrix sine and cosine simultaneously with a reduced number of products. CoRR (2020)
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 (2019)
Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. CoRR (2019)
Philipp Bader, Sergio Blanes, Fernando Casas, Nikita Kopylov, Enrique Ponsoda
Symplectic integrators for second-order linear non-autonomous equations. J. Comput. Appl. Math. 330 (2018)
Mohammad Hajiketabi, Saeid Abbasbandy, Fernando Casas
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. 321 (2018)
Fernando Casas, Nicolas Crouseilles, Erwan Faou, Michel Mehrenberger
High-order Hamiltonian splitting for the Vlasov-Poisson equations. Numerische Mathematik 135 (3) (2017)
Sergio Blanes, Fernando Casas, Mechthild Thalhammer
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. 220 (2017)
Ana Arnal, Fernando Casas, Cristina Chiralt
On the structure and convergence of the symmetric Zassenhaus formula. Comput. Phys. Commun. 217 (2017)
Ana Arnal, Fernando Casas, Cristina Chiralt
A perturbative algorithm for quasi-periodic linear systems close to constant coefficients. Appl. Math. Comput. 273 (2016)
Philipp Bader, Sergio Blanes, Fernando Casas, Enrique Ponsoda
Efficient numerical integration of Nth-order non-autonomous linear differential equations. J. Comput. Appl. Math. 291 (2016)
Sergio Blanes, Fernando Casas, Ander Murua
An efficient algorithm based on splitting for the time integration of the Schrödinger equation. J. Comput. Phys. 303 (2015)
Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna
Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. 36 (4) (2014)
Ana Arnal, Fernando Casas
Exponential polar factorization of the fundamental matrix of linear differential systems. J. Comput. Appl. Math. 268 (2014)
Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82 (283) (2013)
Fernando Casas, Ander Murua, Mladen Nadinic
Efficient computation of the Zassenhaus formula. Comput. Phys. Commun. 183 (11) (2012)
Sergio Blanes, Fernando Casas, Ander Murua
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation. SIAM J. Sci. Comput. 33 (4) (2011)
Sergio Blanes, Fernando Casas, Ander Murua
On the Linear Stability of Splitting Methods. Found. Comput. Math. 8 (3) (2008)
Sergio Blanes, Fernando Casas, Ander Murua
Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84 (6) (2007)
Sergio Blanes, Fernando Casas, Ander Murua
Composition Methods for Differential Equations with Processing. SIAM J. Sci. Comput. 27 (6) (2006)
Sergio Blanes, Fernando Casas
Raising the order of geometric numerical integrators by composition and extrapolation. Numer. Algorithms 38 (4) (2005)
Fernando Casas, A. Orozco, William A. Smith, J. Alexis De Abreu Garcia, John Durkin
A fuzzy system cardio pulmonary bypass rotary blood pump controller. Expert Syst. Appl. 26 (3) (2004)
Sergio Blanes, Fernando Casas, Ander Murua
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. SIAM J. Numer. Anal. 42 (2) (2004)
Sergio Blanes, Fernando Casas
Optimization of Lie group methods for differential equations. Future Gener. Comput. Syst. 19 (3) (2003)
Sergio Blanes, Fernando Casas, José Ros
New Families of Symplectic Runge-Kutta-Nyström Integration Methods. NAA (2000)
Sergio Blanes, Fernando Casas, José Ros
Symplectic Integration with Processing: A General Study. SIAM J. Sci. Comput. 21 (2) (1999)