Software
Software produced by the MAA group:
2024
R. Cavoretto, A. De Rossi, F. Dell'Accio, F. Di Tommaso, N. Siar, A. Sommariva, M. Vianello, Numerical cubature on scattered data by adaptive interpolation, J. Comput. Appl. Math. 444 (2024), 115793; available online at
https://www.math.unipd.it/~alvise/software.html
A. Noorizadegan, C.-S. Chen, R. Cavoretto, A. De Rossi, Effcient truncated randomized SVD for mesh-free kernel methods, Comput. Math. Appl. 164 (2024), 12-20; available online (and certied as reproducible by Code Ocean) at
https://github.com/CMMAi/Truncated-Randomized-SVD-for-Kernel-Based-Methods
A. Noorizadegan, A. Naji, T.-L. Lee, R. Cavoretto, D.L. Young, Bending analysis of quasicrystal plates using adaptive radial basis function method, J. Comput. Appl. Math. 450 (2024), 115990; available online at
https://github.com/CMMAi/Quasicrystal-Plate
M. Soleimani, M. Esmaeilbeigi, R. Cavoretto, A. De Rossi, Analyzing the effects of various isotropic and anisotropic kernels on critical heat flux prediction using Gaussian process regression, Eng. Appl. Artif. Intell. 133 (2024), 108351; available online at
https://github.com/Mandanasoleimani/GPR
2023
R. Cavoretto, A. De Rossi, E. Perracchione, Learning with partition of unity-based kriging estimators, Appl. Math. Comput. 448 (2023), 127938; available online at
https://github.com/emmaA89/KEPU
2022
R. Cavoretto, A. De Rossi, W. Erb, GBFPUM - A MATLAB package for partition of unity based signal interpolation and approximation on graphs, Dolomites Res. Notes Approx. 15 (2022), 25-34; available online at
https://github.com/WolfgangErb/GBFPUM
R. Cavoretto, A. De Rossi, S. Lancellotti, E. Perracchione, Software implementation of the partition of unity method, Dolomites Res. Notes Approx. 15 (2022), 35-46; available online at
https://github.com/sandro-lancellotti/PU
R. Cavoretto, A. De Rossi, A. Sommariva, M. Vianello, RBFCUB: Matlab package for near-optimal meshless cubature on general polygons, software in Matlab associated with the paper Appl. Math. Lett. 125 (2022), 107704; available online at
www.math.unipd.it/~alvise/software.html and https://github.com/alvisesommariva/RBFCUB_2021
2018
R. Cavoretto, A. De Rossi, E. Perracchione, Optimal selection of local approximants in RBF-PU interpolation, software in Matlab associated with the paper J. Sci. Comput. 74 (2018), 1-22; available online at
http://hdl.handle.net/2318/1559094
2017
R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione, G. Santin, Partition of unity interpolation using stable kernel-based techniques, software in Matlab associated with the paper Appl. Numer. Math. 116 (2017), 95-107; available online at
http://hdl.handle.net/2318/1527447
2016
R. Cavoretto, A. De Rossi, E. Perracchione, Efficient computation of partition of unity interpolants through a block-based searching technique, software in Matlab associated with the paper Comput. Math. Appl. 71 (2016), 2568–2584; available online at
http://hdl.handle.net/2318/158790
R. Cavoretto, A. De Rossi, E. Perracchione, E. Venturino, Robust approximation algorithms for the detection of attraction basins in dynamical systems, software in Matlab associated with the paper J. Sci. Comput. 68 (2016), 395–415; available online at
http://hdl.handle.net/2318/1520518
2015
R. Cavoretto, A. De Rossi, A trivariate interpolation algorithm using a cube-partition searching procedure, software in C/C++ language associated with the paper SIAM J. Sci. Comput. 37 (2015), A1891–A1908; available online at