• Algorithm 840

  • Referenced in 26 articles [sw04463]
  • decomposition methods using a basis of Legendre polynomials, known variously as “spectral elements ... efficiency can be improved by replacing Legendre polynomials by prolate spheroidal wave functions of zeroth ... prolate functions themselves are computed by a Legendre-Galerkin discretization of the prolate differential equation...
  • HOSIM

  • Referenced in 8 articles [sw38402]
  • distributions are generated using weighted orthonormal Legendre polynomials, which in turn define the so-called...
  • splib

  • Referenced in 7 articles [sw35310]
  • deal with standard families of orthogonal polynomials (Legendre, Chebyshev and, more in general, Jacobi; Laguerre...
  • PSOPT

  • Referenced in 8 articles [sw20700]
  • time-dependent variables using global polynomials, such as Legendre or Chebyshev functions. Local discretization methods...
  • GLESP

  • Referenced in 3 articles [sw29740]
  • scheme is based on the Gauss-Legendre polynomials zeros and allows one to create strict ... GLESP idea can be seen in ”Gauss-Legendre Sky Pixelization (GLESP) scheme for CMB maps...
  • BECOOL

  • Referenced in 1 article [sw06322]
  • basis functions composed of variable order Legendre polynomials. This reduces the second order ordinary differential ... COOL finite elements) with second order Legendre polynomials recovers precisely the eigenvalues computed ... Eigenvalue convergence runs show that cubic Legendre polynomials construct the optimal ballooning mode equation...
  • dynopt

  • Referenced in 2 articles [sw29118]
  • coefficients of the linear combinations. Lagrange interpolation polynomials are used. In addition, each segment ... defined by the roots of shifted Legendre polynomials. It is assumed, that the optimised dynamic...
  • SphericalHarmonics.jl

  • Referenced in 1 article [sw38334]
  • Julia package SphericalHarmonics.jl: Associated Legendre Polynomials and Spherical Harmonics Computation for Chemistry Applications. Associated Legendre...
  • fourier

  • Referenced in 1 article [sw20915]
  • determine the roots of the Legendre polynomial, but finds the roots by looking ... matrix of the n’th degree Legendre polynomial. The companion matrix is constructed...
  • RPROP2

  • Referenced in 1 article [sw18735]
  • terms of an expansion in shifted Legendre polynomials. A correction introduced by Bloch is included ... integrals are carried out using Gauss- Legendre quadrature...
  • Legendre.jl

  • Referenced in 1 article [sw38332]
  • library for computing the Associated Legendre Polynomials. Design goals of this package include: Native Julia...
  • WATERWAVES

  • Referenced in 1 article [sw13596]
  • representation for each term: normalized associated Legendre polynomials as a functional basis for the angular...
  • LPTime

  • Referenced in 1 article [sw23733]
  • Modelling. Specially designed rank transform based Legendre Polynomial-like (LP) orthonormal transformations are implemented...
  • LegendreSobolev

  • Referenced in 1 article [sw39944]
  • coordinate functions as truncated series in a Legendre-Sobolev basis yields fast and effective recognition ... derivatives, roots, and gcds of polynomials in Legendre-Sobolev bases to find such features without...
  • HandwritingRecognitionTesting

  • Referenced in 0 articles [sw39946]
  • coordinate functions as truncated series in a Legendre-Sobolev basis yields fast and effective recognition ... derivatives, roots, and gcds of polynomials in Legendre-Sobolev bases to find such features without...
  • orthomoms

  • Referenced in 0 articles [sw38383]
  • with respect to Legendre, discrete Chebyshev, and second kind Chebyshev orthogonal polynomials. The orthogonal moments...
  • CGPOPS

  • Referenced in 1 article [sw35933]
  • orthogonal collocation methods. The software employs a Legendre-Gauss-Radau direct orthogonal collocation method ... intervals and the degree of the approximating polynomial within each mesh interval to achieve...
  • BoomerAMG

  • Referenced in 196 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...
  • CADNA

  • Referenced in 47 articles [sw00098]
  • CADNA: a library for estimating round-off error...