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updated 4 months ago

First derivative of (normalized) associated Legendre polynomials by Rody Oldenhuis

First derivative of (normalized) associated Legendre polynomials (legendre, associated legendre p..., derivative)

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updated 7 months ago

Fractional differentiation and integration by George Papazafeiropoulos

The n-th order derivative or integral of a function is calculated through Fourier series expansion. (gauss, legendre, fractional)

Cubic polynomial differintegral

Identity function differintegral

Tabular function differintegral

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updated 1 year ago

Collocation-based spectral-element toolbox by Nathaniel Jewell

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

...

...

[x,D]=legDc(N);

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updated 3 years ago

QUADGR by Jonas Lundgren

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

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

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updated 4 years ago

Gauss quadrature nodes and weights. by Nick Hale

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

legpts_demo.m

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updated almost 6 years ago

gaussquad by Matt Fig

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

gaussquad(f,a,b,tol)

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updated almost 8 years ago

Legendre polynomial Pm(x) by Sergei Koptenko

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

p=legendrep(m,x)

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updated 8 years ago

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)

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updated 8 years ago

quadg by Nabeel Azar

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

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

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updated 8 years ago

Gauss3D by Matt Fig

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

[]=Gauss3D(arg)

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updated almost 9 years ago

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)

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updated almost 9 years ago

Spherical Harmonics by Daniel Ennis

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

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

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updated 10 years ago

LegendreShiftPoly by Peter Roche

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

LegendreShiftPoly(n)

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updated 10 years ago

Legendre-Pade Approximation by Greg von Winckel

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

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

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updated 10 years ago

Legendre Collocation Differentiation by Greg von Winckel

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

[x,D]=legDc(N);

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updated 10 years ago

Legendre-Gauss Quadrature Weights and Nodes by Greg von Winckel

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

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

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updated 10 years ago

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)

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updated 10 years ago

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

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

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

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updated 10 years ago

Gauss-Legendre by Jordi Soler Penades

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

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

polegende.m

y=flege(f,a,b)

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