Collocation-based spectral-element toolbox by Nathaniel Jewell

Functions and example codes for a collocation spectral-element scheme (Chebyshev or Legendre) (numerical, spectral, pseudospectral)

...

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[x,D]=legDc(N);

QUADGR by Jonas Lundgren

Gauss-Legendre quadrature with Richardson extrapolation. (integration, legendre, approximation)

quadgr(fun,a,b,tol,trace,varargin)

Gauss quadrature nodes and weights. by Nick Hale

Computing Gauss quadrature nodes and weights with the chebfun system (chebfun, gauss, quadrature)

legpts_demo.m

gaussquad by Matt Fig

Adaptive form of gaussleg.m. (integration, gauss, gaussian)

gaussquad(f,a,b,tol)

Legendre polynomial Pm(x) by Sergei Koptenko

Legendre polynomial Pm(x). (legendre polynomial, legendre, construct)

p=legendrep(m,x)

Legendre Transformation of a one variable function by Miguel D. B.

Given a function F and a vector x, returns two vectors of numbers xx=F'(x) and yy=F(x)-x*xx (numerical approximati..., legendre, function)

[xx,yy,y]=legendretrans01(F,x,h,varargin)

quadg by Nabeel Azar

Gaussian Quadrature code and quadrature framework (quadrature, gaussian, integration)

quadg (fun,a,b,opts,varargin)

Gauss3D by Matt Fig

Performs 3D Gaussian integration over user-defined volume. (integration, quadrature, gaussian)

[]=Gauss3D(arg)

Legendre Roots by Ulises Velasco

Program made to find legendrie's polinomial roots or zeros. (approximation, interpolation, legendre)

y=cdl(grado)

y=px(x,y)

Spherical Harmonics by Daniel Ennis

This function generates the Spherical Harmonics basis functions of degree L and order M. (differential equation..., harmonic, spherical)

[Ymn,THETA,PHI,Xm,Ym,Zm]=spharm4(L,M,RES,PLOT_FLAG);

LegendreShiftPoly by Peter Roche

This program returns the coefficients of the shifted Legendre polynomial P_n, given n. (approximation, interpolation, shifted)

LegendreShiftPoly(n)

Legendre-Pade Approximation by Greg von Winckel

Computes the Legendre Pade approximation to an analytic function. (approximation, interpolation, legendre)

[ahat,bhat]=legendrepade(f,tol)

Legendre Collocation Differentiation by Greg von Winckel

Numerically differentiates functions sampled at the LGL nodes. (differential equation..., spectral, polynomials)

[x,D]=legDc(N);

Legendre-Gauss Quadrature Weights and Nodes by Greg von Winckel

Computes the Legendre-Gauss weights and nodes for solving definite integrals. (integration, quadrature, legendre)

[x,w]=lgwt(N,a,b)

Legende-Gauss-Radau Nodes and Weights by Greg von Winckel

Computes the Legendre-Gauss-Radau nodes and weights. (integration, legendre, radau)

[x,w,P]=lglnodes(N)

Legende-Gauss-Lobatto nodes and weights by Greg von Winckel

Computes the Legendre-Gauss-Lobatto weights, nodes and vandermonde matrix. (nodes, lobatto, polynomials)

[x,w,P]=lglnodes(N)

Gauss-Legendre by Jordi Soler Penades

Numericaly evaluates integral using Gauss-Legendre quadrature method. (legendre, gauss, integration)

I=gausslege(f,a,b,n)

p=polegende(n)

y=flege(f,a,b)