Roberto Barrio

Alexandre A. P. Rodrigues

Maria Carvalho

Luísa Castro

Int. J. Bifurc. Chaos, 2020

Numerical detection of patterns in CPGs: Gait patterns in insect movement.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2020

Spike-adding structure in fold/hom bursters.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2020

Excitable dynamics in neural and cardiac systems.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2020

2019

Inertial Nonconvex Alternating Minimizations for the Image Deblurring.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2019

Convergence rates of accelerated proximal gradient algorithms under independent noise.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

Bregman Proximal Gradient Algorithm With Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems.

[BibT_eX]

[DOI]

Xiaoya Zhang

María Angeles Martínez Carballo

Lizhi Cheng

IEEE Access, 2019

2018

Precompact convergence of the nonconvex Primal-Dual Hybrid Gradient algorithm.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2018

ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2018

2017

Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori.

[BibT_eX]

[DOI]

Daniel Wilczak

SIAM J. Appl. Dyn. Syst., 2017

Accurate quotient-difference algorithm: Error analysis, improvements and applications.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

2016

Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof.

[BibT_eX]

[DOI]

Daniel Wilczak

SIAM J. Appl. Dyn. Syst., 2016

Local Linear Convergence of a Primal-Dual Algorithm for the Augmented Convex Models.

[BibT_eX]

[DOI]

J. Sci. Comput., 2016

Accurate, validated and fast evaluation of elementary symmetric functions and its application.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

2015

OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2015

A database of rigorous and high-precision periodic orbits of the Lorenz model.

[BibT_eX]

[DOI]

Angeles Dena

Warwick Tucker

Comput. Phys. Commun., 2015

Automatic implementation of the numerical Taylor series method: A Mathematica and Sage approach.

[BibT_eX]

[DOI]

Alberto Abad

Miguel Ángel Marco Buzunáriz

Appl. Math. Comput., 2015

2014

Symbolic Quest into Homoclinic Chaos.

[BibT_eX]

[DOI]

Tingli Xing

Andrey Shilnikov

Int. J. Bifurc. Chaos, 2014

Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2014

2013

A General Condition Number for Polynomials.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

Accurate, Validated and Fast Evaluation of Bézier Tensor Product Surfaces.

[BibT_eX]

[DOI]

Reliab. Comput., 2013

Accurate and Fast Evaluation of Elementary Symmetric Functions.

[BibT_eX]

[DOI]

Stef Graillat

Proceedings of the 21st IEEE Symposium on Computer Arithmetic, 2013

2012

Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2012

To Escape or not to Escape, that is the Question - perturbing the HéNon-Heiles Hamiltonian.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos.

[BibT_eX]

[DOI]

Leonid Pavlovich Shilnikov

Andrey Shilnikov

Int. J. Bifurc. Chaos, 2012

Behavior Patterns in multiparametric Dynamical Systems: Lorenz Model.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

Computer-assisted proof of skeletons of periodic orbits.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2012

Accurate computing elementary symmetric functions.

[BibT_eX]

[DOI]

Stef Graillat

ACM Commun. Comput. Algebra, 2012

High-precision computation: Mathematical physics and dynamics.

[BibT_eX]

[DOI]

David H. Bailey

Jonathan M. Borwein

Appl. Math. Comput., 2012

2011

Incremental manifold learning by spectral embedding methods.

[BibT_eX]

[DOI]

Pattern Recognit. Lett., 2011

Uncertainty propagation or box propagation.

[BibT_eX]

[DOI]

Math. Comput. Model., 2011

Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2011

Accurate evaluation of a polynomial in Chebyshev form.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2011

Breaking the limits: The Taylor series method.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2011

2010

Three term recurrence for the evaluation of multivariate orthogonal polynomials.

[BibT_eX]

[DOI]

Juan Manuel Peña

Tomas Sauer

J. Approx. Theory, 2010

Bifurcations and Chaos in Hamiltonian Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2010

2008

Performance of perturbation methods on orbit prediction.

[BibT_eX]

[DOI]

Math. Comput. Model., 2008

2006

Sensitivity Analysis of ODES/DAES Using the Taylor Series Method.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

Painting Chaos: a Gallery of Sensitivity Plots of Classical Problems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

Modifications of the method of variation of parameters.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2006

2005

Evaluation of the derivative of a polynomial in Bernstein form.

[BibT_eX]

[DOI]

Juan Manuel Peña

Appl. Math. Comput., 2005

Performance of the Taylor series method for ODEs/DAEs.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2005

2004

High-order recurrences satisfied by classical orthogonal polynomials.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2004

Algorithms for the integration and derivation of Chebyshev series.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2004

2003

Compression of almost-periodic data.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2003

A Unified Rounding Error Bound for Polynomial Evaluation.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2003

2000

Parallel Algorithms to Evaluate Orthogonal Polynomial Series.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2000

Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynominals.

[BibT_eX]

[DOI]

Plamen Y. Yalamov

Proceedings of the Numerical Analysis and Its Applications, 2000

Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem.

[BibT_eX]

[DOI]

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

Chebyshev collocation methods for fast orbit determination.

[BibT_eX]

[DOI]

Manuel Palacios

Antonio Elipe

Appl. Math. Comput., 1999

1998

A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment.

[BibT_eX]

[DOI]

Javier Sabadell

SIAM J. Sci. Comput., 1998

Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series.

[BibT_eX]

[DOI]

Jean-Claude Berges

J. Univers. Comput. Sci., 1998

1997

Parallel Evaluation of Chebyshev Series.

[BibT_eX]