Computational Aspects of Polynomial Interpolation in Several Variables
From MaRDI portal
Publication:4024684
DOI10.2307/2153210zbMath0767.41003OpenAlexW4256334712MaRDI QIDQ4024684
Publication date: 10 February 1993
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: http://digital.library.wisc.edu/1793/59278
Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15) Conditioning of matrices (15A12)
Related Items
Orthogonal polyanalytic polynomials and normal matrices ⋮ Zonotopal algebra and forward exchange matroids ⋮ Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension ⋮ Estimation of dynamic systems using a method of characteristics filter ⋮ Lagrange multivariate polynomial interpolation: a random algorithmic approach ⋮ Computational aspects of multivariate polynomial interpolation ⋮ On multivariate Hermite interpolation ⋮ Recent progress in unconstrained nonlinear optimization without derivatives ⋮ Interpolation methods for the construction of the shape function space of nonconforming finite elements ⋮ A non-intrusive space-time interpolation from compact Stiefel manifolds of parametrized rigid-viscoplastic FEM problems ⋮ DRIPS: a framework for dimension reduction and interpolation in parameter space ⋮ Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions ⋮ High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs ⋮ A new approach to modelling an unsteady free surface in boundary integral methods with application to bubble-structure interactions ⋮ Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces ⋮ Interpolation on the cubed sphere with spherical harmonics ⋮ Discrete moving frames on lattice varieties and lattice-based multispaces ⋮ Multivariate Approximation in Downward Closed Polynomial Spaces ⋮ On the numerical computation of bivariate Lagrange polynomials ⋮ Gröbner bases, H–bases and interpolation ⋮ Multipoint Taylor interpolation ⋮ Multivariate polynomial interpolation: conjectures concerning GC-sets ⋮ On the use of simplex methods in constructing quadratic models ⋮ A unified approach to evaluation algorithms for multivariate polynomials ⋮ MultiDimensional Sparse Super-Resolution ⋮ On the error in multivariate polynomial interpolation ⋮ Zonotopal algebra ⋮ On Multivariate Lagrange Interpolation ⋮ Multivariate interpolation: preserving and exploiting symmetry ⋮ 2D shape optimization under proximity constraints by CFD and response surface methodology ⋮ Lagrange interpolation on subgrids of tensor product grids ⋮ Lattices and algorithms for bivariate Bernstein, Lagrange, Newton, and other related polynomial bases based on duality between \(L\)-bases and \(B\)-bases ⋮ A recursive algorithm for Hermite interpolation over a triangular grid ⋮ Strictly positive definite functions on spheres in Euclidean spaces ⋮ RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces ⋮ Multivariate Polynomial Interpolation in Newton Forms ⋮ On evaluating multivariate polynomials over finite fields ⋮ Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs ⋮ Multivariate Hermite interpolation by algebraic polynomials: A survey ⋮ Construction of commutative filters for LES on unstructured meshes ⋮ The least solution for the polynomial interpolation problem ⋮ Interpolation by ridge polynomials and its application in neural networks