Roberto Barrio

63 papers C 2Journal 56Unranked 5

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Bregman Proximal Gradient with extrapolation to train a Reservoir Computing network for a binary classification task. Inf. Sci. Carmen Mayora-Cebollero, Ana Mayora-Cebollero, Álvaro Lozano-Rojo, Roberto Barrio
2026	J	`jnl`	Deep Learning for analyzing chaotic dynamics in biological time series: Insights from frog heart signals. Neurocomputing Carmen Mayora-Cebollero, Flavio H. Fenton, Molly Halprin, Conner Herndon, Mikael J. Toye, Roberto Barrio
2026	J	`jnl`	Nonlinear study of interacting population with increasing functional response: The significance of fear and movement. Math. Comput. Simul. R. P. Gupta, Harinand Singh, Roberto Barrio, Arun Kumar
2025	J	`jnl`	A mechanism for growth of topological entropy and global changes of the shape of chaotic attractors. CoRR Daniel Wilczak, Sergio Serrano, Roberto Barrio
2023	J	`jnl`	PACF: A precision-adjustable computational framework for solving singular values. Appl. Math. Comput. Chuanying Li, Roberto Barrio, Xiong Xiao, Peibing Du, Hao Jiang, Zhe Quan, Kenli Li
2021	C	`conf`	A Class of Fast and Accurate Multi-layer Block Summation and Dot Product Algorithms. NPC Kang He, Roberto Barrio, Lin Chen, Hao Jiang, Jie Liu, Tongxiang Gu, Jin Qi
2021	—	`conf`	A High-Precision DQDS Algorithm. HPCC/DSS/SmartCity/DependSys Chuanying Li, Xiong Xiao, Peibing Du, Hao Jiang, Roberto Barrio, Zhe Quan, Kenli Li
2021	—	`conf`	Quantization improvements for LU Decomposition to Solve Linear Equations. ISPA/BDCloud/SocialCom/SustainCom Lin Chen, Kang He, Hao Jiang, Roberto Barrio, Jie Liu, Tiejun Li
2021	J	`jnl`	Routes to tripod gait movement in hexapods. Neurocomputing Roberto Barrio, Álvaro Lozano-Rojo, María Angeles Martínez Carballo, Marcos Rodríguez, Sergio Serrano
2020	J	`jnl`	Excitable dynamics in neural and cardiac systems. Commun. Nonlinear Sci. Numer. Simul. Roberto Barrio, Stephen Coombes, Mathieu Desroches, Flavio H. Fenton, Stefan Luther, Esther Pueyo
2020	J	`jnl`	Experimentally Accessible Orbits Near a Bykov Cycle. Int. J. Bifurc. Chaos Roberto Barrio, Maria Carvalho, Luísa Castro, Alexandre A. P. Rodrigues
2020	J	`jnl`	Numerical detection of patterns in CPGs: Gait patterns in insect movement. Commun. Nonlinear Sci. Numer. Simul. Roberto Barrio, Álvaro Lozano-Rojo, Marcos Rodríguez, Sergio Serrano
2020	J	`jnl`	Spike-adding structure in fold/hom bursters. Commun. Nonlinear Sci. Numer. Simul. Roberto Barrio, Santiago Ibáñez, Lucía Pérez, Sergio Serrano
2019	J	`jnl`	Bregman Proximal Gradient Algorithm With Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems. IEEE Access Xiaoya Zhang, Roberto Barrio, María Angeles Martínez Carballo, Hao Jiang, Lizhi Cheng
2019	J	`jnl`	Convergence rates of accelerated proximal gradient algorithms under independent noise. Numer. Algorithms Tao Sun, Roberto Barrio, Hao Jiang, Lizhi Cheng
2019	J	`jnl`	Inertial Nonconvex Alternating Minimizations for the Image Deblurring. IEEE Trans. Image Process. Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang
2019	J	`jnl`	Inertial nonconvex alternating minimizations for the image deblurring. CoRR Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang
2018	J	`jnl`	ORTHOPOLY: A library for accurate evaluation of series of classical orthogonal polynomials and their derivatives. Comput. Phys. Commun. Roberto Barrio, Peibing Du, Hao Jiang, Sergio Serrano
2018	J	`jnl`	Precompact convergence of the nonconvex Primal-Dual Hybrid Gradient algorithm. J. Comput. Appl. Math. Tao Sun, Roberto Barrio, Lizhi Cheng, Hao Jiang
2017	J	`jnl`	Accurate quotient-difference algorithm: Error analysis, improvements and applications. Appl. Math. Comput. Peibing Du, Roberto Barrio, Hao Jiang, Lizhi Cheng
2017	J	`jnl`	Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori. SIAM J. Appl. Dyn. Syst. Daniel Wilczak, Roberto Barrio
2016	J	`jnl`	Accurate, validated and fast evaluation of elementary symmetric functions and its application. Appl. Math. Comput. Hao Jiang, Stef Graillat, Roberto Barrio, Canqun Yang
2016	J	`jnl`	Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof. SIAM J. Appl. Dyn. Syst. Daniel Wilczak, Sergio Serrano, Roberto Barrio
2016	J	`jnl`	Local Linear Convergence of a Primal-Dual Algorithm for the Augmented Convex Models. J. Sci. Comput. Tao Sun, Roberto Barrio, Hao Jiang, Lizhi Cheng
2015	J	`jnl`	A database of rigorous and high-precision periodic orbits of the Lorenz model. Comput. Phys. Commun. Roberto Barrio, Angeles Dena, Warwick Tucker
2015	J	`jnl`	Automatic implementation of the numerical Taylor series method: A Mathematica and Sage approach. Appl. Math. Comput. Alberto Abad, Roberto Barrio, Miguel Ángel Marco-Buzunáriz, Marcos Rodríguez
2015	J	`jnl`	OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics. Comput. Phys. Commun. Marcos Rodríguez, Fernando Blesa, Roberto Barrio
2014	J	`jnl`	Symbolic Quest into Homoclinic Chaos. Int. J. Bifurc. Chaos Tingli Xing, Roberto Barrio, Andrey Shilnikov
2014	J	`jnl`	Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems. Commun. Nonlinear Sci. Numer. Simul. Roberto Barrio, Marcos Rodríguez
2013	J	`jnl`	A General Condition Number for Polynomials. SIAM J. Numer. Anal. Roberto Barrio, Hao Jiang, Sergio Serrano
2013	C	`conf`	Accurate and Fast Evaluation of Elementary Symmetric Functions. IEEE Symposium on Computer Arithmetic Hao Jiang, Stef Graillat, Roberto Barrio
2013	J	`jnl`	Accurate, Validated and Fast Evaluation of Bézier Tensor Product Surfaces. Reliab. Comput. Hao Jiang, Housen Li, Lizhi Cheng, Roberto Barrio, Canbin Hu, Xiangke Liao
2012	J	`jnl`	Accurate computing elementary symmetric functions. ACM Commun. Comput. Algebra Hao Jiang, Stef Graillat, Roberto Barrio
2012	J	`jnl`	Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS. ACM Trans. Math. Softw. Alberto Abad, Roberto Barrio, Fernando Blesa, Marcos Rodríguez
2012	J	`jnl`	Behavior Patterns in multiparametric Dynamical Systems: Lorenz Model. Int. J. Bifurc. Chaos Roberto Barrio, Fernando Blesa, Sergio Serrano
2012	J	`jnl`	Computer-assisted proof of skeletons of periodic orbits. Comput. Phys. Commun. Roberto Barrio, Marcos Rodríguez, Fernando Blesa
2012	J	`jnl`	High-precision computation: Mathematical physics and dynamics. Appl. Math. Comput. David H. Bailey, Roberto Barrio, Jonathan M. Borwein
2012	J	`jnl`	Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. Int. J. Bifurc. Chaos Roberto Barrio, Andrey Shilnikov, Leonid Pavlovich Shilnikov
2012	J	`jnl`	To Escape or not to Escape, that is the Question - perturbing the HéNon-Heiles Hamiltonian. Int. J. Bifurc. Chaos Fernando Blesa, Jesús M. Seoane, Roberto Barrio, Miguel A. F. Sanjuán
2011	J	`jnl`	Accurate evaluation of a polynomial in Chebyshev form. Appl. Math. Comput. Hao Jiang, Roberto Barrio, Housen Li, Xiangke Liao, Lizhi Cheng, Fang Su
2011	J	`jnl`	Breaking the limits: The Taylor series method. Appl. Math. Comput. Roberto Barrio, Marcos Rodríguez, Alberto Abad, Fernando Blesa
2011	J	`jnl`	Incremental manifold learning by spectral embedding methods. Pattern Recognit. Lett. Housen Li, Hao Jiang, Roberto Barrio, Xiangke Liao, Lizhi Cheng, Fang Su
2011	J	`jnl`	Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria. Comput. Math. Appl. Roberto Barrio, Fernando Blesa, Angeles Dena, Sergio Serrano
2011	J	`jnl`	Uncertainty propagation or box propagation. Math. Comput. Model. Roberto Barrio, Marcos Rodríguez, Alberto Abad, Sergio Serrano
2010	J	`jnl`	Bifurcations and Chaos in Hamiltonian Systems. Int. J. Bifurc. Chaos Roberto Barrio, Fernando Blesa, Sergio Serrano
2010	J	`jnl`	Three term recurrence for the evaluation of multivariate orthogonal polynomials. J. Approx. Theory Roberto Barrio, Juan Manuel Peña, Tomas Sauer
2008	J	`jnl`	Performance of perturbation methods on orbit prediction. Math. Comput. Model. Roberto Barrio, Sergio Serrano
2006	J	`jnl`	Modifications of the method of variation of parameters. Comput. Math. Appl. Roberto Barrio, Sergio Serrano
2006	J	`jnl`	Painting Chaos: a Gallery of Sensitivity Plots of Classical Problems. Int. J. Bifurc. Chaos Roberto Barrio
2006	J	`jnl`	Sensitivity Analysis of ODES/DAES Using the Taylor Series Method. SIAM J. Sci. Comput. Roberto Barrio
2005	J	`jnl`	Evaluation of the derivative of a polynomial in Bernstein form. Appl. Math. Comput. Roberto Barrio, Juan Manuel Peña
2005	J	`jnl`	Performance of the Taylor series method for ODEs/DAEs. Appl. Math. Comput. Roberto Barrio
2004	J	`jnl`	Algorithms for the integration and derivation of Chebyshev series. Appl. Math. Comput. Roberto Barrio
2004	J	`jnl`	High-order recurrences satisfied by classical orthogonal polynomials. Appl. Math. Lett. Roberto Barrio, Sergio Serrano
2003	J	`jnl`	A Unified Rounding Error Bound for Polynomial Evaluation. Adv. Comput. Math. Roberto Barrio
2003	J	`jnl`	Compression of almost-periodic data. Appl. Math. Comput. Roberto Barrio
2000	—	`conf`	Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem. NAA Roberto Barrio
2000	J	`jnl`	Parallel Algorithms to Evaluate Orthogonal Polynomial Series. SIAM J. Sci. Comput. Roberto Barrio
2000	—	`conf`	Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynominals. NAA Roberto Barrio, Plamen Y. Yalamov
1999	J	`jnl`	Chebyshev collocation methods for fast orbit determination. Appl. Math. Comput. Roberto Barrio, Manuel Palacios, Antonio Elipe
1998	J	`jnl`	A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment. SIAM J. Sci. Comput. Roberto Barrio, Javier Sabadell
1998	J	`jnl`	Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series. J. Univers. Comput. Sci. Roberto Barrio, Jean-Claude Berges
1997	—	`conf`	Parallel Evaluation of Chebyshev Series. PP Roberto Barrio, Javier Sabadell