SOFTWARE produced by the CAA group

Multivariate (hyper)interpolation and numerical cubature

(at Marco Caliari's web site)

• HyperCube (Fortran 77 code for hyperinterpolation in the cube)
  by M. Caliari, S. De Marchi and M. Vianello (see paper)
  
• Padua2D (Fortran 77 code for interpolation at Padua-like points on rectangles, triangles and ellipses)
  by M. Caliari, S. De Marchi and M. Vianello (see paper) - ACM Trans. Math. Software 35-3 (2008)
  a variant has been used in Fun2D of the CP2K simulation package for molecular dynamics (see paper)
• Padua2DM (a Matlab/Octave code for interpolation and cubature at the Padua points)
  by M. Caliari, S. De Marchi, A. Sommariva and M. Vianello (see paper) - Numer. Algorithms 56 (2011)
  
• XuPad2D (Matlab interface for hyperinterpolation at Xu points and interpolation at Padua points on rectangles)
  by M. Caliari, S. De Marchi, R. Montagna and M. Vianello, replaces the former interface Hyper2D (see paper)
  

(at Stefano De Marchi's web site)

• Hyper3 (Matlab code for cubature and hyperinterpolation in the 3-cube)
  by S. De Marchi and M. Vianello (see paper)
  

(at Alvise Sommariva's web site)

• ChebfunGauss (Matlab code for Gauss-Green cubature by the Chebfun package)
  by A. Sommariva and M. Vianello (see paper)
  
• GreenDisk (Matlab code for meshless cubature over disks and annular sectors by Thin-Plate Splines and Green's formula)
  by A. Punzi, A. Sommariva and M. Vianello (see paper)
  
• InterpSets (bivariate Lebesgue and Fekete interpolation sets)
  by M. Briani, A. Sommariva and M. Vianello (see paper)
  
• PolyGauss (Matlab code for product Gauss cubature over polygons)
  by A. Sommariva and M. Vianello (see paper)
  
• Polygint (Matlab code for polynomial interpolation and cubature at Discrete Extremal Sets of polygons: preliminary nonoptimized version)
  by M. Gentile, A. Sommariva and M. Vianello (see paper)
  
• SplineGauss (Matlab code for Gauss-Green cubature over spline curvilinear polygons)
  by A. Sommariva and M. Vianello (see paper)
  

(at Marco Vianello's web site)

• gqcircsect, gqcirczone, gqsymmlens (Matlab functions for product Gaussian quadrature on circular sectors, zones, symmetric lenses - version 1.0)
  by G. Da Fies and M. Vianello (see paper)
  
• gqcircsegm, gqlens, gqdbubble (Matlab functions for product Gaussian quadrature on circular segments, general planar lenses and double bubbles - version 1.0)
  by G. Da Fies and M. Vianello (see paper)
  
• trigauss (Matlab function for subperiodic trigonometric Gaussian quadrature - version 1.0)
  by G. Da Fies and M. Vianello (see paper)
  note: part of this code has been used for comparison by Walter Gautschi in his SRJAC repository for sub-range Jacobi polynomials
  
• trigquad (Matlab function for subperiodic trigonometric quadrature - version 1.1; see here for version 1.0)
  by G. Da Fies and M. Vianello (see paper)