Roberto Barrio

Orcid: 0000-0002-8089-343X

According to our database1, Roberto Barrio authored at least 58 papers between 1997 and 2023.

Collaborative distances:



In proceedings 
PhD thesis 




PACF: A precision-adjustable computational framework for solving singular values.
Appl. Math. Comput., 2023

Routes to tripod gait movement in hexapods.
Neurocomputing, 2021

A Class of Fast and Accurate Multi-layer Block Summation and Dot Product Algorithms.
Proceedings of the Network and Parallel Computing, 2021

Quantization improvements for LU Decomposition to Solve Linear Equations.
Proceedings of the 2021 IEEE Intl Conf on Parallel & Distributed Processing with Applications, Big Data & Cloud Computing, Sustainable Computing & Communications, Social Computing & Networking (ISPA/BDCloud/SocialCom/SustainCom), New York City, NY, USA, September 30, 2021

A High-Precision DQDS Algorithm.
Proceedings of the 2021 IEEE 23rd Int Conf on High Performance Computing & Communications; 7th Int Conf on Data Science & Systems; 19th Int Conf on Smart City; 7th Int Conf on Dependability in Sensor, 2021

Experimentally Accessible Orbits Near a Bykov Cycle.
Int. J. Bifurc. Chaos, 2020

Numerical detection of patterns in CPGs: Gait patterns in insect movement.
Commun. Nonlinear Sci. Numer. Simul., 2020

Spike-adding structure in fold/hom bursters.
Commun. Nonlinear Sci. Numer. Simul., 2020

Excitable dynamics in neural and cardiac systems.
Commun. Nonlinear Sci. Numer. Simul., 2020

Inertial Nonconvex Alternating Minimizations for the Image Deblurring.
IEEE Trans. Image Process., 2019

Convergence rates of accelerated proximal gradient algorithms under independent noise.
Numer. Algorithms, 2019

Bregman Proximal Gradient Algorithm With Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems.
IEEE Access, 2019

Precompact convergence of the nonconvex Primal-Dual Hybrid Gradient algorithm.
J. Comput. Appl. Math., 2018

ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives.
Comput. Phys. Commun., 2018

Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori.
SIAM J. Appl. Dyn. Syst., 2017

Accurate quotient-difference algorithm: Error analysis, improvements and applications.
Appl. Math. Comput., 2017

Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof.
SIAM J. Appl. Dyn. Syst., 2016

Local Linear Convergence of a Primal-Dual Algorithm for the Augmented Convex Models.
J. Sci. Comput., 2016

Accurate, validated and fast evaluation of elementary symmetric functions and its application.
Appl. Math. Comput., 2016

OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics.
Comput. Phys. Commun., 2015

A database of rigorous and high-precision periodic orbits of the Lorenz model.
Comput. Phys. Commun., 2015

Automatic implementation of the numerical Taylor series method: A Mathematica and Sage approach.
Appl. Math. Comput., 2015

Symbolic Quest into Homoclinic Chaos.
Int. J. Bifurc. Chaos, 2014

Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 2014

A General Condition Number for Polynomials.
SIAM J. Numer. Anal., 2013

Accurate, Validated and Fast Evaluation of Bézier Tensor Product Surfaces.
Reliab. Comput., 2013

Accurate and Fast Evaluation of Elementary Symmetric Functions.
Proceedings of the 21st IEEE Symposium on Computer Arithmetic, 2013

Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS.
ACM Trans. Math. Softw., 2012

To Escape or not to Escape, that is the Question - perturbing the HéNon-Heiles Hamiltonian.
Int. J. Bifurc. Chaos, 2012

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos.
Int. J. Bifurc. Chaos, 2012

Behavior Patterns in multiparametric Dynamical Systems: Lorenz Model.
Int. J. Bifurc. Chaos, 2012

Computer-assisted proof of skeletons of periodic orbits.
Comput. Phys. Commun., 2012

Accurate computing elementary symmetric functions.
ACM Commun. Comput. Algebra, 2012

High-precision computation: Mathematical physics and dynamics.
Appl. Math. Comput., 2012

Incremental manifold learning by spectral embedding methods.
Pattern Recognit. Lett., 2011

Uncertainty propagation or box propagation.
Math. Comput. Model., 2011

Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria.
Comput. Math. Appl., 2011

Accurate evaluation of a polynomial in Chebyshev form.
Appl. Math. Comput., 2011

Breaking the limits: The Taylor series method.
Appl. Math. Comput., 2011

Three term recurrence for the evaluation of multivariate orthogonal polynomials.
J. Approx. Theory, 2010

Bifurcations and Chaos in Hamiltonian Systems.
Int. J. Bifurc. Chaos, 2010

Performance of perturbation methods on orbit prediction.
Math. Comput. Model., 2008

Sensitivity Analysis of ODES/DAES Using the Taylor Series Method.
SIAM J. Sci. Comput., 2006

Painting Chaos: a Gallery of Sensitivity Plots of Classical Problems.
Int. J. Bifurc. Chaos, 2006

Modifications of the method of variation of parameters.
Comput. Math. Appl., 2006

Evaluation of the derivative of a polynomial in Bernstein form.
Appl. Math. Comput., 2005

Performance of the Taylor series method for ODEs/DAEs.
Appl. Math. Comput., 2005

High-order recurrences satisfied by classical orthogonal polynomials.
Appl. Math. Lett., 2004

Algorithms for the integration and derivation of Chebyshev series.
Appl. Math. Comput., 2004

Compression of almost-periodic data.
Appl. Math. Comput., 2003

A Unified Rounding Error Bound for Polynomial Evaluation.
Adv. Comput. Math., 2003

Parallel Algorithms to Evaluate Orthogonal Polynomial Series.
SIAM J. Sci. Comput., 2000

Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynominals.
Proceedings of the Numerical Analysis and Its Applications, 2000

Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem.
Proceedings of the Numerical Analysis and Its Applications, 2000

Chebyshev collocation methods for fast orbit determination.
Appl. Math. Comput., 1999

A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment.
SIAM J. Sci. Comput., 1998

Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series.
J. Univers. Comput. Sci., 1998

Parallel Evaluation of Chebyshev Series.
Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997