Multivariate approximation

• Application of modified Leja sequences to polynomial interpolation,
  L. P. Bos and M. Caliari;
  Dolomites Res. Notes Approx. (2015)
  BibTeX entry: BC15
  
  
• Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave,
  M. Caliari, S. De Marchi, A. Sommariva, and M. Vianello;
  Numer. Algorithms (2011)
  BibTeX entry: CDMSV11
  Related software: Padua2DM
  
  
• Hyperinterpolation in the cube,
  M. Caliari, S. De Marchi, and M. Vianello;
  Comp. Math. Appl. (2008)
  BibTeX entry: CDMV08
  Related software: HyperCube
  
  
• Bivariate Lagrange interpolation at the Padua points: Computational aspects,
  M. Caliari, S. De Marchi, and M. Vianello;
  J. Comput. Appl. Math. (2008)
  BibTeX entry: CDMV08JCAM
  Related software: Padua2D
  
  
• Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains,
  M. Caliari, S. De Marchi, and M. Vianello;
  ACM Trans. Math. Software (2008)
  BibTeX entry: CVDM08
  Related software: Padua2D
  
  
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach,
  L. Bos, M. Caliari, S. De Marchi, M. Vianello, and Y. Xu;
  J. Approx. Theory (2006)
  BibTeX entry: BCDMVX06
  Related software: XuPad2D, Padua2D
  
  
• HYPER2D: a numerical code for hyperinterpolation at Xu points on rectangles,
  M. Caliari, M. Vianello, S. De Marchi, and R. Montagna;
  Appl. Math. Comp. (2006)
  BibTeX entry: CVDMM06
  Related software: XuPad2D
  
  
• Hyperinterpolation on the square,
  M. Caliari, S. De Marchi, and M. Vianello;
  J. Comput. Appl. Math. (2007)
  BibTeX entry: CDMV07
  Related software: XuPad2D
  
  
• Bivariate interpolation at Xu points: results, extensions and applications,
  L. Bos, M. Caliari, S. De Marchi, and M. Vianello;
  Electron. Trans. Numer. Anal. (2006)
  BibTeX entry: BCDMV06E
  
  
• A numerical study of the Xu interpolation formula in two variables,
  L. Bos, M. Caliari, S. De Marchi, and M. Vianello;
  Computing (2006)
  BibTeX entry: BCDMV06C
  
  
• Bivariate polynomial interpolation on the square at new nodal sets,
  M. Caliari, S. De Marchi, and M. Vianello;
  Appl. Math. Comp. (2005)
  BibTeX entry: CDMV05