swMATH ID: 4414
Software Authors: Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
Description: Algorithm 886: Padua2D—Lagrange Interpolation at Padua Points on Bivariate Domains We present a stable and efficient Fortran implementation of polynomial interpolation at the Padua points on the square [ − 1,1]2. These points are unisolvent and their Lebesgue constant has minimal order of growth (log square of the degree). The algorithm is based on the representation of the Lagrange interpolation formula in a suitable orthogonal basis, and takes advantage of a new matrix formulation together with the machine-specific optimized BLAS subroutine for the matrix-matrix product. Extension to interpolation on rectangles, triangles and ellipses is also described
Homepage: http://dl.acm.org/citation.cfm?id=1391994
Keywords: Padua points; fast algorithms; Lagrange interpolation; fast Fourier transform; algebraic cubature; numerical examples
Related Software: Padua2DM; Matlab; Chebfun; CHEBINT; Algorithm 792; Hyper2d; OPQ; GaussQR; TNTool; LS2Ditp; LEBFEK; Octave; Burkardt; XuPad2D; FakeNodes; Sparse-BSOS; SPOTless; SPOT; GpoSolver; SOSOPT
Cited in: 20 Publications

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