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2020 – today
- 2023
[j51]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: 127611 (2023)- 2021
- [j50]Roberto Barrio, Álvaro Lozano-Rojo, María Angeles Martínez Carballo, Marcos Rodríguez, Sergio Serrano:
Routes to tripod gait movement in hexapods. Neurocomputing 461: 679-695 (2021) - [c7]Chuanying Li, Xiong Xiao, Peibing Du, Hao Jiang, Roberto Barrio, Zhe Quan, Kenli Li:
A High-Precision DQDS Algorithm. HPCC/DSS/SmartCity/DependSys 2021: 633-639 - [c6]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: 1075-1082 - [c5]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: 64-75 - 2020
- [j49]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: 105047 (2020) - [j48]Roberto Barrio, Santiago Ibáñez, Lucía Pérez, Sergio Serrano:
Spike-adding structure in fold/hom bursters. Commun. Nonlinear Sci. Numer. Simul. 83: 105100 (2020) - [j47]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: 105275 (2020) - [j46]Roberto Barrio, Maria Carvalho, Luísa Castro, Alexandre A. P. Rodrigues:
Experimentally Accessible Orbits Near a Bykov Cycle. Int. J. Bifurc. Chaos 30(10): 2030030:1-2030030:24 (2020)
2010 – 2019
- 2019
- [j45]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: 126515-126529 (2019) - [j44]Tao Sun, Roberto Barrio, Hao Jiang, Lizhi Cheng:
Convergence rates of accelerated proximal gradient algorithms under independent noise. Numer. Algorithms 81(2): 631-654 (2019) - [j43]Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang:
Inertial Nonconvex Alternating Minimizations for the Image Deblurring. IEEE Trans. Image Process. 28(12): 6211-6224 (2019) - [i1]Tao Sun, Roberto Barrio, Marcos Rodríguez, Hao Jiang:
Inertial nonconvex alternating minimizations for the image deblurring. CoRR abs/1907.12945 (2019) - 2018
- [j42]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: 146-162 (2018) - [j41]Tao Sun, Roberto Barrio, Lizhi Cheng, Hao Jiang:
Precompact convergence of the nonconvex Primal-Dual Hybrid Gradient algorithm. J. Comput. Appl. Math. 330: 15-27 (2018) - 2017
- [j40]Peibing Du, Roberto Barrio, Hao Jiang, Lizhi Cheng:
Accurate quotient-difference algorithm: Error analysis, improvements and applications. Appl. Math. Comput. 309: 245-271 (2017) - [j39]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): 1618-1649 (2017) - 2016
- [j38]Hao Jiang, Stef Graillat, Roberto Barrio, Canqun Yang:
Accurate, validated and fast evaluation of elementary symmetric functions and its application. Appl. Math. Comput. 273: 1160-1178 (2016) - [j37]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): 1301-1315 (2016) - [j36]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): 356-390 (2016) - 2015
- [j35]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: 227-245 (2015) - [j34]Marcos Rodríguez, Fernando Blesa, Roberto Barrio:
OpenCL parallel integration of ordinary differential equations: Applications in computational dynamics. Comput. Phys. Commun. 192: 228-236 (2015) - [j33]Roberto Barrio, Angeles Dena, Warwick Tucker:
A database of rigorous and high-precision periodic orbits of the Lorenz model. Comput. Phys. Commun. 194: 76-83 (2015) - 2014
- [j32]Roberto Barrio, Marcos Rodríguez:
Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems. Commun. Nonlinear Sci. Numer. Simul. 19(8): 2660-2675 (2014) - [j31]Tingli Xing, Roberto Barrio, Andrey Shilnikov:
Symbolic Quest into Homoclinic Chaos. Int. J. Bifurc. Chaos 24(8) (2014) - 2013
- [j30]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: 55-72 (2013) - [j29]Roberto Barrio, Hao Jiang, Sergio Serrano:
A General Condition Number for Polynomials. SIAM J. Numer. Anal. 51(2): 1280-1294 (2013) - [c4]Hao Jiang, Stef Graillat, Roberto Barrio:
Accurate and Fast Evaluation of Elementary Symmetric Functions. IEEE Symposium on Computer Arithmetic 2013: 183-190 - 2012
- [j28]David H. Bailey, Roberto Barrio, Jonathan M. Borwein:
High-precision computation: Mathematical physics and dynamics. Appl. Math. Comput. 218(20): 10106-10121 (2012) - [j27]Hao Jiang, Stef Graillat, Roberto Barrio:
Accurate computing elementary symmetric functions. ACM Commun. Comput. Algebra 46(3/4): 102-103 (2012) - [j26]Roberto Barrio, Marcos Rodríguez, Fernando Blesa:
Computer-assisted proof of skeletons of periodic orbits. Comput. Phys. Commun. 183(1): 80-85 (2012) - [j25]Roberto Barrio, Andrey Shilnikov, Leonid Pavlovich Shilnikov:
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. Int. J. Bifurc. Chaos 22(4) (2012) - [j24]Roberto Barrio, Fernando Blesa, Sergio Serrano:
Behavior Patterns in multiparametric Dynamical Systems: Lorenz Model. Int. J. Bifurc. Chaos 22(6) (2012) - [j23]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) - [j22]Alberto Abad, Roberto Barrio, Fernando Blesa, Marcos Rodríguez:
Algorithm 924: TIDES, a Taylor Series Integrator for Differential EquationS. ACM Trans. Math. Softw. 39(1): 5:1-5:28 (2012) - 2011
- [j21]Roberto Barrio, Marcos Rodríguez, Alberto Abad, Fernando Blesa:
Breaking the limits: The Taylor series method. Appl. Math. Comput. 217(20): 7940-7954 (2011) - [j20]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): 9702-9716 (2011) - [j19]Roberto Barrio, Fernando Blesa, Angeles Dena, Sergio Serrano:
Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria. Comput. Math. Appl. 62(11): 4140-4150 (2011) - [j18]Roberto Barrio, Marcos Rodríguez, Alberto Abad, Sergio Serrano:
Uncertainty propagation or box propagation. Math. Comput. Model. 54(11-12): 2602-2615 (2011) - [j17]Housen Li, Hao Jiang, Roberto Barrio, Xiangke Liao, Lizhi Cheng, Fang Su:
Incremental manifold learning by spectral embedding methods. Pattern Recognit. Lett. 32(10): 1447-1455 (2011) - 2010
- [j16]Roberto Barrio, Fernando Blesa, Sergio Serrano:
Bifurcations and Chaos in Hamiltonian Systems. Int. J. Bifurc. Chaos 20(5): 1293-1319 (2010) - [j15]Roberto Barrio, Juan Manuel Peña, Tomas Sauer:
Three term recurrence for the evaluation of multivariate orthogonal polynomials. J. Approx. Theory 162(2): 407-420 (2010)
2000 – 2009
- 2008
- [j14]Roberto Barrio, Sergio Serrano:
Performance of perturbation methods on orbit prediction. Math. Comput. Model. 48(3-4): 594-600 (2008) - 2006
- [j13]Roberto Barrio, Sergio Serrano:
Modifications of the method of variation of parameters. Comput. Math. Appl. 51(3-4): 451-466 (2006) - [j12]Roberto Barrio:
Painting Chaos: a Gallery of Sensitivity Plots of Classical Problems. Int. J. Bifurc. Chaos 16(10): 2777-2798 (2006) - [j11]Roberto Barrio:
Sensitivity Analysis of ODES/DAES Using the Taylor Series Method. SIAM J. Sci. Comput. 27(6): 1929-1947 (2006) - 2005
- [j10]Roberto Barrio:
Performance of the Taylor series method for ODEs/DAEs. Appl. Math. Comput. 163(2): 525-545 (2005) - [j9]Roberto Barrio, Juan Manuel Peña:
Evaluation of the derivative of a polynomial in Bernstein form. Appl. Math. Comput. 167(1): 125-142 (2005) - 2004
- [j8]Roberto Barrio:
Algorithms for the integration and derivation of Chebyshev series. Appl. Math. Comput. 150(3): 707-717 (2004) - [j7]Roberto Barrio, Sergio Serrano:
High-order recurrences satisfied by classical orthogonal polynomials. Appl. Math. Lett. 17(6): 667-670 (2004) - 2003
- [j6]Roberto Barrio:
A Unified Rounding Error Bound for Polynomial Evaluation. Adv. Comput. Math. 19(4): 385-399 (2003) - [j5]Roberto Barrio:
Compression of almost-periodic data. Appl. Math. Comput. 134(2-3): 431-444 (2003) - 2000
- [j4]Roberto Barrio:
Parallel Algorithms to Evaluate Orthogonal Polynomial Series. SIAM J. Sci. Comput. 21(6): 2225-2239 (2000) - [c3]Roberto Barrio:
Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem. NAA 2000: 42-50 - [c2]Roberto Barrio, Plamen Y. Yalamov:
Stability Analysis of Parallel Evaluation of Finite Series of Orthogonal Polynominals. NAA 2000: 51-58
1990 – 1999
- 1999
- [j3]Roberto Barrio, Manuel Palacios, Antonio Elipe:
Chebyshev collocation methods for fast orbit determination. Appl. Math. Comput. 99(2-3): 195-207 (1999) - 1998
- [j2]Roberto Barrio, Jean-Claude Berges:
Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series. J. Univers. Comput. Sci. 4(6): 561-573 (1998) - [j1]Roberto Barrio, Javier Sabadell:
A Parallel Algorithm to Evaluate Chebyshev Series on a Message Passing Environment. SIAM J. Sci. Comput. 20(3): 964-969 (1998) - 1997
- [c1]Roberto Barrio, Javier Sabadell:
Parallel Evaluation of Chebyshev Series. PP 1997
Coauthor Index
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