sample of publications

• articles 

  • An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations.  JOURNAL OF COMPUTATIONAL PHYSICS.  469:1-17. 2022
  • Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries.  APPLIED MATHEMATICAL MODELLING.  94:635-655. 2021
  • Using local PHS+ poly approximations for Laplace transform inversion by Gaver-Stehfest algorithm.  Dolomites Research Notes on Approximation.  13:55-64. 2020
  • Comparison of moving least squares and RBF+poly for interpolation and derivative approximation.  JOURNAL OF SCIENTIFIC COMPUTING.  81:486-512. 2019
  • An insight into RBF-FD approximations augmented with polynomials.  COMPUTERS & MATHEMATICS WITH APPLICATIONS.  77:2337-2353. 2019
  • On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries.  JOURNAL OF COMPUTATIONAL PHYSICS.  380:378-399. 2019
  • Analysis of the diurnal variation of the global electric circuit obtained from different numerical models.  JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES.  122:12906-12917. 2017
  • On the role of polynomials in RBF-FD approximations: II. numerical solution of elliptic PDEs.  JOURNAL OF COMPUTATIONAL PHYSICS.  332:257-273. 2017
  • Improving the inter-hemispheric gradient of total column atmospheric CO2 and CH4 in simulations with the ECMWF semi-Lagrangian atmospheric global model.  Geoscientific Model Development.  10:1-18. 2017
  • On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy.  JOURNAL OF COMPUTATIONAL PHYSICS.  321:21-38. 2016
  • A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0).  Geoscientific Model Development.  8:3007-3020. 2015
  • Laurent series based RBF-FD method to avoid ill-conditioning.  ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS.  52:24-31. 2015
  • Optimal shape parameter for the solution of elastostatic problems with the RBF method.  JOURNAL OF ENGINEERING MATHEMATICS.  85:115-129. 2014
  • Application of the RBF meshless method to laminar flame propagation.  ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS.  37:1617-1624. 2013
  • Propagation of premixed laminar flames in 3D narrow open ducts using RBF-generated finite differences.  COMBUSTION THEORY AND MODELLING.  17:789-803. 2013
  • Gaussian RBF-FD weights and its corresponding local truncation errors.  ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS.  36:1361-1369. 2012
  • Optimal variable shape parameter for multiquadric based RBF-FD method.  JOURNAL OF COMPUTATIONAL PHYSICS.  231:2466-2481. 2012
  • Optimal constant shape parameter for multiquadric based RBF-FD method.  JOURNAL OF COMPUTATIONAL PHYSICS.  230:7384-7399. 2011
  • RBF-FD Formulas and Convergence Properties.  JOURNAL OF COMPUTATIONAL PHYSICS.  229:8281-8295. 2010

• conference contributions 

  • Radial Basis Function-generated Finite Differences (RBF-FD): a meshfree approach for the numerical solution of differential equations 2018
  • Recent Advances in Radial Basis Function Methods II 2018
  • Observations on the use of RBF-FD augmented with polynomials for the numerical solution of elliptic PDEs. 2017
  • RBF-FD approximations based on PHS with polynomial augmentation for the numerical solution of elliptic PDEs 2017
  • Seminar at the Fluid and Aerodynamics Research Group 2017
  • Gaussian RBF-FD Weigths and Its Corresponding Local Truncation Errors.  97-108. 2012