FakeNodes2D

Bivariate interpolation on Fake Nodes with examples.

Quote this work

To use this work in any scientific report or publication, please insert in references:

• S. De Marchi, F. Marchetti, E. Perracchione, D. Poggiali, Polynomial interpolation via mapped bases without resampling link, J. Comput. Appl. Math. 364 (2020), 112347.
• S. De Marchi, F. Marchetti, E. Perracchione, D. Poggiali, Multivariate approximation at fake nodes link, Appl. Math. Comput. 391 (2021), 125628.
• M. Caliari, S. De Marchi, A. Sommariva and M. Vianello, Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave, Numer. Algorithms 56 (2011)
• L. Bos, S. De Marchi, A. Sommariva, M. Vianello, Weakly Admissible Meshes and Discrete Extremal Sets, Numerical Mathematics: Theory, Methods and Applications, 4(1), 1-12 (2011)

What are Fake Nodes

Fake Nodes is a novel approach to numerical interpolation that aims to achieve a better interpolation without having to get new samples. You can use your samples as they were taken at better/more representative nodes, cheating with the interpolation domain by applying a map.

Check out out other repos FakeNodes and FakeQuadrature.