Roberto Barrio

Publication Activity (10 Years)

Years Active: 1997-2023
Publications (10 Years): 20

Top Topics

Image Deblurring

Differential Equations

Computer Assisted

Top Venues

Appl. Math. Comput.

Commun. Nonlinear Sci. Numer. Simul.

Comput. Phys. Commun.

Int. J. Bifurc. Chaos

Publications

Chuanying Li, Roberto Barrio, Xiong Xiao, Peibing Du, Hao Jiang, Zhe Quan, Kenli Li
PACF: A precision-adjustable computational framework for solving singular values. Appl. Math. Comput. 440 (2023)
Roberto Barrio, Álvaro Lozano-Rojo, María Angeles Martínez Carballo, Marcos Rodríguez, Sergio Serrano
Routes to tripod gait movement in hexapods. Neurocomputing 461 (2021)
Chuanying Li, Xiong Xiao, Peibing Du, Hao Jiang, Roberto Barrio, Zhe Quan, Kenli Li
A High-Precision DQDS Algorithm. HPCC/DSS/SmartCity/DependSys (2021)
Lin Chen, Kang He, Hao Jiang, Roberto Barrio, Jie Liu, Tiejun Li
Quantization improvements for LU Decomposition to Solve Linear Equations. ISPA/BDCloud/SocialCom/SustainCom (2021)
Kang He, Roberto Barrio, Lin Chen, Hao Jiang, Jie Liu, Tongxiang Gu, Jin Qi
A Class of Fast and Accurate Multi-layer Block Summation and Dot Product Algorithms. NPC (2021)
Roberto Barrio, Stephen Coombes, Mathieu Desroches, Flavio H. Fenton, Stefan Luther, Esther Pueyo
Excitable dynamics in neural and cardiac systems. Commun. Nonlinear Sci. Numer. Simul. 86 (2020)
Roberto Barrio, Maria Carvalho, Luísa Castro, Alexandre A. P. Rodrigues
Experimentally Accessible Orbits Near a Bykov Cycle. Int. J. Bifurc. Chaos 30 (10) (2020)
Roberto Barrio, Santiago Ibáñez, Lucía Pérez, Sergio Serrano
Spike-adding structure in fold/hom bursters. Commun. Nonlinear Sci. Numer. Simul. 83 (2020)
Roberto Barrio, Álvaro Lozano-Rojo, Marcos Rodríguez, Sergio Serrano
Numerical detection of patterns in CPGs: Gait patterns in insect movement. Commun. Nonlinear Sci. Numer. Simul. 82 (2020)
Tao Sun, Roberto Barrio, Hao Jiang, Lizhi Cheng
Convergence rates of accelerated proximal gradient algorithms under independent noise. Numer. Algorithms 81 (2) (2019)
Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang
Inertial nonconvex alternating minimizations for the image deblurring. CoRR (2019)
Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang
Inertial Nonconvex Alternating Minimizations for the Image Deblurring. IEEE Trans. Image Process. 28 (12) (2019)
Xiaoya Zhang, Roberto Barrio, María Angeles Martínez Carballo, Hao Jiang, Lizhi Cheng
Bregman Proximal Gradient Algorithm With Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems. IEEE Access 7 (2019)
Roberto Barrio, Peibing Du, Hao Jiang, Sergio Serrano
ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives. Comput. Phys. Commun. 231 (2018)
Tao Sun, Roberto Barrio, Lizhi Cheng, Hao Jiang
Precompact convergence of the nonconvex Primal-Dual Hybrid Gradient algorithm. J. Comput. Appl. Math. 330 (2018)
Daniel Wilczak, Roberto Barrio
Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori. SIAM J. Appl. Dyn. Syst. 16 (3) (2017)
Peibing Du, Roberto Barrio, Hao Jiang, Lizhi Cheng
Accurate quotient-difference algorithm: Error analysis, improvements and applications. Appl. Math. Comput. 309 (2017)
Daniel Wilczak, Sergio Serrano, Roberto Barrio
Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof. SIAM J. Appl. Dyn. Syst. 15 (1) (2016)
Hao Jiang, Stef Graillat, Roberto Barrio, Canqun Yang
Accurate, validated and fast evaluation of elementary symmetric functions and its application. Appl. Math. Comput. 273 (2016)
Tao Sun, Roberto Barrio, Hao Jiang, Lizhi Cheng
Local Linear Convergence of a Primal-Dual Algorithm for the Augmented Convex Models. J. Sci. Comput. 69 (3) (2016)
Alberto Abad, Roberto Barrio, Miguel Ángel Marco Buzunáriz, Marcos Rodríguez
Automatic implementation of the numerical Taylor series method: A Mathematica and Sage approach. Appl. Math. Comput. 268 (2015)
Roberto Barrio, Angeles Dena, Warwick Tucker
A database of rigorous and high-precision periodic orbits of the Lorenz model. Comput. Phys. Commun. 194 (2015)
Marcos Rodríguez, Fernando Blesa, Roberto Barrio
OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics. Comput. Phys. Commun. 192 (2015)
Roberto Barrio, Marcos Rodríguez
Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems. Commun. Nonlinear Sci. Numer. Simul. 19 (8) (2014)
Tingli Xing, Roberto Barrio, Andrey Shilnikov
Symbolic Quest into Homoclinic Chaos. Int. J. Bifurc. Chaos 24 (8) (2014)
Hao Jiang, Stef Graillat, Roberto Barrio
Accurate and Fast Evaluation of Elementary Symmetric Functions. IEEE Symposium on Computer Arithmetic (2013)
Hao Jiang, Housen Li, Lizhi Cheng, Roberto Barrio, Canbin Hu, Xiangke Liao
Accurate, Validated and Fast Evaluation of Bézier Tensor Product Surfaces. Reliab. Comput. 18 (2013)
Roberto Barrio, Hao Jiang, Sergio Serrano
A General Condition Number for Polynomials. SIAM J. Numer. Anal. 51 (2) (2013)
Alberto Abad, Roberto Barrio, Fernando Blesa, Marcos Rodríguez
Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS. ACM Trans. Math. Softw. 39 (1) (2012)
Roberto Barrio, Marcos Rodríguez, Fernando Blesa
Computer-assisted proof of skeletons of periodic orbits. Comput. Phys. Commun. 183 (1) (2012)
Roberto Barrio, Andrey Shilnikov, Leonid Pavlovich Shilnikov
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. Int. J. Bifurc. Chaos 22 (4) (2012)
David H. Bailey, Roberto Barrio, Jonathan M. Borwein
High-precision computation: Mathematical physics and dynamics. Appl. Math. Comput. 218 (20) (2012)
Hao Jiang, Stef Graillat, Roberto Barrio
Accurate computing elementary symmetric functions. ACM Commun. Comput. Algebra 46 (3/4) (2012)
Fernando Blesa, Jesús M. Seoane, Roberto Barrio, Miguel A. F. Sanjuán
To Escape or not to Escape, that is the Question - perturbing the HéNon-Heiles Hamiltonian. Int. J. Bifurc. Chaos 22 (6) (2012)
Roberto Barrio, Fernando Blesa, Sergio Serrano
Behavior Patterns in multiparametric Dynamical Systems: Lorenz Model. Int. J. Bifurc. Chaos 22 (6) (2012)
Roberto Barrio, Marcos Rodríguez, Alberto Abad, Fernando Blesa
Breaking the limits: The Taylor series method. Appl. Math. Comput. 217 (20) (2011)
Roberto Barrio, Fernando Blesa, Angeles Dena, Sergio Serrano
Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria. Comput. Math. Appl. 62 (11) (2011)
Roberto Barrio, Marcos Rodríguez, Alberto Abad, Sergio Serrano
Uncertainty propagation or box propagation. Math. Comput. Model. 54 (11-12) (2011)
Housen Li, Hao Jiang, Roberto Barrio, Xiangke Liao, Lizhi Cheng, Fang Su
Incremental manifold learning by spectral embedding methods. Pattern Recognit. Lett. 32 (10) (2011)
Hao Jiang, Roberto Barrio, Housen Li, Xiangke Liao, Lizhi Cheng, Fang Su
Accurate evaluation of a polynomial in Chebyshev form. Appl. Math. Comput. 217 (23) (2011)
Roberto Barrio, Juan Manuel Peña, Tomas Sauer
Three term recurrence for the evaluation of multivariate orthogonal polynomials. J. Approx. Theory 162 (2) (2010)
Roberto Barrio, Fernando Blesa, Sergio Serrano
Bifurcations and Chaos in Hamiltonian Systems. Int. J. Bifurc. Chaos 20 (5) (2010)
Roberto Barrio, Sergio Serrano
Performance of perturbation methods on orbit prediction. Math. Comput. Model. 48 (3-4) (2008)
Roberto Barrio
Painting Chaos: a Gallery of Sensitivity Plots of Classical Problems. Int. J. Bifurc. Chaos 16 (10) (2006)
Roberto Barrio
Sensitivity Analysis of ODES/DAES Using the Taylor Series Method. SIAM J. Sci. Comput. 27 (6) (2006)
Roberto Barrio, Sergio Serrano
Modifications of the method of variation of parameters. Comput. Math. Appl. 51 (3-4) (2006)
Roberto Barrio
Performance of the Taylor series method for ODEs/DAEs. Appl. Math. Comput. 163 (2) (2005)
Roberto Barrio, Juan Manuel Peña
Evaluation of the derivative of a polynomial in Bernstein form. Appl. Math. Comput. 167 (1) (2005)
Roberto Barrio, Sergio Serrano
High-order recurrences satisfied by classical orthogonal polynomials. Appl. Math. Lett. 17 (6) (2004)
Roberto Barrio
Algorithms for the integration and derivation of Chebyshev series. Appl. Math. Comput. 150 (3) (2004)
Roberto Barrio
Compression of almost-periodic data. Appl. Math. Comput. 134 (2-3) (2003)
Roberto Barrio
A Unified Rounding Error Bound for Polynomial Evaluation. Adv. Comput. Math. 19 (4) (2003)
Roberto Barrio
Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem. NAA (2000)
Roberto Barrio
Parallel Algorithms to Evaluate Orthogonal Polynomial Series. SIAM J. Sci. Comput. 21 (6) (2000)
Roberto Barrio, Plamen Y. Yalamov
Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynominals. NAA (2000)
Roberto Barrio, Manuel Palacios, Antonio Elipe
Chebyshev collocation methods for fast orbit determination. Appl. Math. Comput. 99 (2-3) (1999)
Roberto Barrio, Jean-Claude Berges
Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series. J. Univers. Comput. Sci. 4 (6) (1998)
Roberto Barrio, Javier Sabadell
A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment. SIAM J. Sci. Comput. 20 (3) (1998)
Roberto Barrio, Javier Sabadell
Parallel Evaluation of Chebyshev Series. PPSC (1997)