Marco Vianello: work on Cubature for molecular, optical and statistical modelling

online publications and preprints (downloadable pdf)

Molecular modelling (Born radii computation by compressed QMC)

1. Tchakaloff-like compression of QMC volume and surface integration on the union of balls
   preprint, with G. Elefante and A. Sommariva
   Calcolo 61, 46 (2024)
   
   

   Optical modelling (numerical ray tracing for noncircular pupils)

2. Compressed cubature over polygons with applications to optical design
   preprint, with B. Bauman (LLNL, USA) and A. Sommariva
   J. Comput. Appl. Math. 370 (2020)
   
   
3. Numerical quadrature on the intersection of planar disks
   preprint, with A. Sommariva
   FILOMAT 31:13 (2017), 4105--4115
   
   
4. Algebraic cubature by linear blending of elliptical arcs
   preprint, with G. Da Fies and A. Sommariva
   Appl. Numer. Math. 74 (2013), 49--61
   
   

   Statistical modelling (near-optimal regression designs)

5. Accelerating the Lawson-Hanson NNLS solver for large-scale Tchakaloff regression designs
   preprint, with M. Dessole and F. Marcuzzi
   Dolomites Res. Notes Approx. DRNA 13 (2020), 20--29
   
   
6. Near G-optimal Tchakaloff designs
   preprint, with L. Bos and F. Piazzon
   Comput. Statistics 35 (2020), 803--819
   
   
7. CaTchDes: Matlab codes for Caratheodory-Tchakaloff Near-Optimal Regression Designs
   with L. Bos
   SoftwareX 10 (2019)
   
   
8. Near optimal polynomial regression on norming meshes
   preprint, with L. Bos and F. Piazzon
   Sampling Theory and Applications 2019, IEEE Xplore Digital Library