Publications in journals


  • S. De Marchi, A. Martínez, E. Perracchione, Fast and stable rational RBF-based partition of unity interpolation, to appear on J. Comput. Appl. Math. 2018; preprint.
  • M. Azaďez, T. Chácon Rebollo, E. Perracchione, J. M. Vega, Recursive POD expansion for advection-diffusion-reaction equation, to appear on Comm. Comput. Physics, 2018; preprint.
  • E. Perracchione, Rational RBF-based partition of unity method for efficiently and accurately approximating 3D objects, Comput. Appl. Math. (2018), 1-16; preprint.
  • I. Stura, E. Perracchione, G. Migliaretti, F. Cavallo, A new numerical method for processing longitudinal data: clinical applications, Epidemiology Biostatistics and Public Health 15 (2018), pp. 1-8; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, Optimal selection of local approximants in RBF-PU interpolation using bivariate LOOCV, J. Sci. Comput. 74 (2018), pp. 1-22; preprint.
  • A. De Rossi, E. Perracchione, E. Venturino, Meshless partition of unity method for attraction basins of periodic orbits: Fast detection of separatrix points, Dolomites Res. Notes Approx. 11 (2018), pp. 15-22; preprint.
  • A. De Rossi, E. Perracchione, Positive constrained approximation via RBF-based partition of unity method, J. Comput. Appl. Math. 319 (2017), pp. 338-351; preprint.
  • R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione, G. Santin, Partition of unity interpolation using stable kernel-based techniques, Appl. Numer. Math. 116 (2017), pp. 95-107; preprint.
  • E. Perracchione, I. Stura, RBF kernel method and its applications to clinical data, Dolomites Res. Notes Approx. 9 (2016), pp. 13-18; paper.
  • A. De Rossi, E. Perracchione, E. Venturino, Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds, Dolomites Res. Notes Approx. 9 (2016), pp. 2-12; paper.
  • R. Cavoretto, A. De Rossi, E. Perracchione, Efficient computation of partition of unity interpolants through a block-based searching technique, Comput. Math. Appl. 71 (2016), pp. 2568-2584; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, E. Venturino, Graphical representation of separatrices of attraction basins in two and three dimensional dynamical systems, 14 (2017), pp. 1750008-1--1750008-16; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, E. Venturino, Robust approximation algorithms for the detection of attraction basins in dynamical systems, J. Sci. Comput. 68 (2015), pp. 395-415; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, Partition of unity interpolation on multivariate convex domains, Int. J. Model. Simul. Sci. Comput. 6 (2015), pp. 1-17; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, E. Venturino, Reliable approximation of separatrix manifolds in competition models with safety niches, Int. J. Comput. Math. 92 (2015), pp. 1826-1837; preprint.

Publications in conference proceedings and volumes


  • R. Cavoretto, A. De Rossi, G. E. Fasshauer, M. J. McCourt, E. Perracchione, Anisotropic weights for RBF-PU interpolation with subdomains of variable shapes, to appear on Proc. of ENUMATH17.
  • R. Cavoretto, A. De Rossi, E. Perracchione, Surface approximation of basins of attraction through RBF interpolation schemes, in: J. Vigo-Aguiar et al. (Eds.), Proc. of CMMSE17, vol. 2, 2017, pp. 523-529; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, RBF-PU interpolation with variable subdomain sizes and shape parameters, in: T.E. Simos et al. (Eds.), NUMPTA16 AIP Conf. Proc., vol. 1776, 2016, pp. 070003-1--070003-4; preprint.
  • R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione, G. Santin, Approximating basins of attraction for dynamical systems via stable radial bases, in: T.E. Simos et al. (Eds.), ICNAAM15 AIP Conf. Proc., vol. 1738, 2016, pp. 390003-1--390003-4; preprint.
  • E. Perracchione, I. Stura, A RBF-PSO based approach for modeling prostate cancer, in: T.E. Simos et al. (Eds.), ICNAAM15 AIP Conf. Proc., vol. 1738, 2016, pp. 390008-1--390008-4; preprint.
  • R. Cavoretto, A. De Rossi, E. Perracchione, Fast and flexible interpolation via PUM with applications in population dynamics, in: T.E. Simos et al. (Eds.), ICNAAM15 AIP Conf. Proc., vol. 1738, 2016, pp. 390005-1--390005-4; preprint.
  • R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and G. Santin, RBF approximation of large datasets by partition of unity and local stabilization, in: I.P. Hamilton et al. (Eds.), Proc. of CMMSE15, 2015, pp. 317-326; paper.
  • G. Sabetta, E. Perracchione, E. Venturino, Wild herbivores in forests: four case studies, in: R.P. Mondaini (Ed.), Proc. of BIOMAT14, 2015, pp. 56-77.

  • A. De Rossi, I. Ferrua, E. Perracchione, G. Ruatta, E. Venturino, Competition models with niche for squirrel population dynamics, in: T.E. Simos et al. (Eds.), ICNAAM13 AIP Conf. Proc., vol. 1558, 2013, pp. 1818-1821; paper.
  • R. Cavoretto, A. De Rossi, E. Perracchione, E. Venturino, Reconstruction of separatrix curves and surfaces in squirrels competition models with niche, in: I.P. Hamilton et al. (Eds.), Proc. of CMMSE13, vol. 2, 2013, pp. 400-411; paper.