Fernando Casas

According to our database, Fernando Casas authored at least 48 papers between 1999 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

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

Families of efficient low order processed composition methods.

Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs

CoRR, 2024

Exponential perturbative expansions and coordinate transformations.

Ana Arnal, Fernando Casas, Cristina Chiralt

CoRR, 2024

A unifying framework for perturbative exponential factorizations.

Ana Arnal, Fernando Casas, Cristina Chiralt

CoRR, 2024

Symmetric-conjugate splitting methods for evolution equations of parabolic type.

Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer

CoRR, 2024

Generalized extrapolation methods based on compositions of a basic 2nd-order scheme.

Sergio Blanes, Fernando Casas, Luke Shaw

Appl. Math. Comput., 2024

Splitting methods for differential equations.

Sergio Blanes, Fernando Casas, Ander Murua

Acta Numer., 2024

2023

A New Optimality Property of Strang's Splitting.

Fernando Casas, Jesús María Sanz-Serna, Luke Shaw

SIAM J. Numer. Anal., June, 2023

Magnus integrators for linear and quasilinear delay differential equations.

Ana Arnal, Fernando Casas, Cristina Chiralt

J. Comput. Appl. Math., 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

Symmetric-conjugate splitting methods for linear unitary problems.

Joackim Bernier, Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs

CoRR, 2023

2022

Split Hamiltonian Monte Carlo revisited.

Fernando Casas, Jesús María Sanz-Serna, Luke Shaw

Stat. Comput., 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

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

Preface for the special issue "Geometric numerical integration, twenty-five years later".

Sergio Blanes, Fernando Casas

Int. J. Comput. Math., 2022

Runge-Kutta-Nyström symplectic splitting methods of order 8.

Fernando Casas, Sergio Blanes, Alejandro Escorihuela-Tomàs

CoRR, 2022

High order integrators obtained by linear combinations of symmetric-conjugate compositions.

Fernando Casas, Alejandro Escorihuela-Tomàs

Appl. Math. Comput., 2022

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

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

Applying splitting methods with complex coefficients to the numerical integration of unitary problems.

Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs

CoRR, 2021

2020

Splitting Methods for Rotations: Application to Vlasov Equations.

Joackim Bernier, Fernando Casas, Nicolas Crouseilles

SIAM J. Sci. Comput., 2020

Computing the matrix sine and cosine simultaneously with a reduced number of products.

Muaz Seydaoglu, Philipp Bader, Sergio Blanes, Fernando Casas

CoRR, 2020

Composition Methods for Dynamical Systems Separable into Three Parts.

Fernando Casas, Alejandro Escorihuela-Tomas

CoRR, 2020

Numerical integrators based on the Magnus expansion for nonlinear dynamical systems.

Mohammad Hajiketabi, Fernando Casas

Appl. Math. Comput., 2020

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

Efficient time integration methods for Gross-Pitaevskii equations with rotation term.

Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer

CoRR, 2019

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

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

2017

High-order Hamiltonian splitting for the Vlasov-Poisson equations.

Fernando Casas, Nicolas Crouseilles, Erwan Faou, Michel Mehrenberger

Numerische Mathematik, 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

On the structure and convergence of the symmetric Zassenhaus formula.

Ana Arnal, Fernando Casas, Cristina Chiralt

Comput. Phys. Commun., 2017

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

A perturbative algorithm for quasi-periodic linear systems close to constant coefficients.

Ana Arnal, Fernando Casas, Cristina Chiralt

Appl. Math. Comput., 2016

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

2014

Numerical Integrators for the Hybrid Monte Carlo Method.

Sergio Blanes, Fernando Casas, Jesús María Sanz-Serna

SIAM J. Sci. Comput., 2014

Exponential polar factorization of the fundamental matrix of linear differential systems.

Ana Arnal, Fernando Casas

J. Comput. Appl. Math., 2014

2013

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

Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua

Math. Comput., 2013

2012

Efficient computation of the Zassenhaus formula.

Fernando Casas, Ander Murua, Mladen Nadinic

Comput. Phys. Commun., 2012

2011

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

Sergio Blanes, Fernando Casas, Ander Murua

SIAM J. Sci. Comput., 2011

2008

On the Linear Stability of Splitting Methods.

Sergio Blanes, Fernando Casas, Ander Murua

Found. Comput. Math., 2008

2007

Splitting methods for non-autonomous linear systems.

Sergio Blanes, Fernando Casas, Ander Murua

Int. J. Comput. Math., 2007

2006

Composition Methods for Differential Equations with Processing.

Sergio Blanes, Fernando Casas, Ander Murua

SIAM J. Sci. Comput., 2006

2005

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

Sergio Blanes, Fernando Casas

Numer. Algorithms, 2005

2004

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

Sergio Blanes, Fernando Casas, Ander Murua

SIAM J. Numer. Anal., 2004

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

2003

Optimization of Lie group methods for differential equations.

Sergio Blanes, Fernando Casas

Future Gener. Comput. Syst., 2003

2000

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

Sergio Blanes, Fernando Casas, José Ros

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

Symplectic Integration with Processing: A General Study.

Sergio Blanes, Fernando Casas, José Ros

SIAM J. Sci. Comput., 1999