Functional Analysis, Approximation Theory and Numerical Analysis
Matera, Italy, July 5-8, 2022
Session: Meshless Approximation Methods: new perspective and applications
Over the past twenty years, meshless methods became one of the major interest field in approximation theory.
This session focuses in the recent development and improvement of existent meshless techniques, as well as in
the presentation of new approaches and applications.
Organizers:
- Francesco Dell'Accio, francesco.dellaccio@unical.it
- Alessandra De Rossi, alessandra.derossi@unito.it
- Elisa Francomano, elisa.francomano@unipa.it
Talks:
- R. Cavoretto, Adaptive Residual Sub-sampling Methods for
Kernel-based Interpolation
- S. Cuomo, Physics-informed neural networks approach for
solving Gray-Scott systems
- A. De Rossi, A Kriging Estimator based on the Partition of
Unity Method
- F. Di Tommaso, Smooth approximation and interpolation of
scattered data on the sphere with linear precision by quadrangulations
- D. Fakhoury, Exploring the expressive power of ExSpliNet, a new
spline-based neural network model
- M. Karimnejad Esfahani, Moving Least Square Approximation using Variably
Scaled Discontinuous Weight Functions
- S. Lancellotti, Software Implementation of the Partition of Unity
Method
- L. Luh, Choosing the Shape Parameter Optimally in the
RBF Collocation Method
- F. Marchetti, RBF interpolation and SSIM
- A. Noorizadegana, A Novel Local Radial Basis Function Collocation
Method for Multi-Dimensional Piezoelectric Problems
- F. Nudo, On the improvement of the triangular Shepard
method by non conformal elements
- A. Sommariva, Tchakaloff-like polyhedral quadrature with and
without tetrahedralization
- G. Tamberg, On representation of derivatives using generalized
Kantorovich sampling operators
- E. Venturino, A fourth order scheme for nonlocal diffusive equations