| On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy N Flyer, B Fornberg, V Bayona, GA Barnett Journal of Computational Physics 321, 21-38, 2016 | 279 | 2016 |
| On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs V Bayona, N Flyer, B Fornberg, GA Barnett Journal of Computational Physics 332, 257-273, 2017 | 245 | 2017 |
| RBF-FD formulas and convergence properties V Bayona, M Moscoso, M Carretero, M Kindelan Journal of Computational Physics 229 (22), 8281-8295, 2010 | 199 | 2010 |
| Optimal constant shape parameter for multiquadric based RBF-FD method V Bayona, M Moscoso, M Kindelan Journal of Computational Physics 230 (19), 7384-7399, 2011 | 155 | 2011 |
| On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries V Bayona, N Flyer, B Fornberg Journal of Computational Physics 380, 378-399, 2019 | 80 | 2019 |
| An insight into RBF-FD approximations augmented with polynomials V Bayona Computers & Mathematics with Applications 77 (9), 2337-2353, 2019 | 79 | 2019 |
| Optimal variable shape parameter for multiquadric based RBF-FD method V Bayona, M Moscoso, M Kindelan Journal of Computational Physics 231 (6), 2466-2481, 2012 | 79 | 2012 |
| Gaussian RBF-FD weights and its corresponding local truncation errors V Bayona, M Moscoso, M Kindelan Engineering analysis with boundary elements 36 (9), 1361-1369, 2012 | 51 | 2012 |
| A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1. 0) V Bayona, N Flyer, GM Lucas, AJG Baumgaertner Geoscientific Model Development 8 (10), 3007-3020, 2015 | 49 | 2015 |
| Improving the inter-hemispheric gradient of total column atmospheric CO2 and CH4 in simulations with the ECMWF semi-Lagrangian atmospheric global model A Agusti-Panareda, M Diamantakis, V Bayona, F Klappenbach, A Butz Geoscientific Model Development 10 (1), 1-18, 2017 | 44 | 2017 |
| Comparison of moving least squares and RBF+ poly for interpolation and derivative approximation V Bayona Journal of Scientific Computing 81, 486-512, 2019 | 31 | 2019 |
| Laurent series based RBF-FD method to avoid ill-conditioning P Gonzalez-Rodriguez, V Bayona, M Moscoso, M Kindelan Engineering Analysis with Boundary Elements 52, 24-31, 2015 | 28 | 2015 |
| Optimal shape parameter for the solution of elastostatic problems with the RBF method S Simonenko, V Bayona, M Kindelan Journal of Engineering Mathematics 85, 115-129, 2014 | 24 | 2014 |
| Analysis of the diurnal variation of the global electric circuit obtained from different numerical models J Jánský, GM Lucas, C Kalb, V Bayona, MJ Peterson, W Deierling, N Flyer, ... Journal of Geophysical Research: Atmospheres 122 (23), 12,906-12,917, 2017 | 14 | 2017 |
| Propagation of premixed laminar flames in 3D narrow open ducts using RBF-generated finite differences V Bayona, M Kindelan Combustion Theory and Modelling 17 (5), 789-803, 2013 | 13 | 2013 |
| Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries V Bayona, M Sánchez-Sanz, E Fernández-Tarrazo, M Kindelan Applied Mathematical Modelling 94, 635-655, 2021 | 9 | 2021 |
| An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations I Tominec, PF Villard, E Larsson, V Bayona, N Cacciani Journal of Computational Physics 469, 111496, 2022 | 8 | 2022 |
| Application of the RBF meshless method to laminar flame propagation M Kindelan, V Bayona Engineering Analysis with Boundary Elements 37 (12), 1617-1624, 2013 | 8 | 2013 |
| Using local PHS+ poly approximations for Laplace Transform Inversion by Gaver-Stehfest algorithm R Campagna, V Bayona, S Cuomo Dolomites Research Notes on Approximation 13 (1), 2020 | 4 | 2020 |
| A 3-D RBF-FD elliptic solver for irregular boundaries: modeling the atmospheric global electric circuit with topography. V Bayona, N Flyer, GM Lucas, AJG Baumgaertner Geoscientific Model Development Discussions 8 (4), 2015 | 3 | 2015 |
