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);

Microstrip Filter Design by Hassan Najjar

An aid program to design an nth order LC circuit equivalent filter in microstrip. (bandpass, lowpass, highpass)

evalLumpedElement.m

Chebfun by Chebfun Team

Numerical computation with functions instead of numbers. (chebfun, approximation, interpolation)

A greedy algorithm for choosing interpolation points

A keyhole contour integral

A parameter dependent ODE with breakpoints

Filtering using Butterworth and Chebyshev by vj

Filtering an user defined signal or .wav file using Butterworth and Chebychev. Noise - AWGN. (gui, signal processing, filtering)

proj_filtering(varargin)

Antenna Arrays by Amol Mahurkar

Produces radiation pattern for Broadside, Endfire, Binomial, and Dolph - Chebyshev antenna arrays (matlab, endfire, array)

Binomial_array_1.m

Broadside_array_1.m

Dolph_Chebyshev_array_1.m

Inverse Fast Chebyshev Transform (IFCT) by Allan Peter Engsig-Karup

Inverse Fast Chebyshev Transform (IFCT) for use with pseudospectral methods. (fct, inverste fast chebysh..., pseudospectral)

ifct(uh)

Fast Chebyshev Transform (FCT) by Allan Peter Engsig-Karup

Fast Chebyshev Transform (FCT) for use with pseudospectral methods. (fct, fast chebyshev transf..., pseudospectral)

fct(u)

Fast Possion equation solver by Evan Ruzanski

Solves the Poisson equation using Successive Overrelaxation (SOR) with Chebyshev acceleration. (numerical analysis, partial differential ..., pde)

solvePoissonSOR(y,maxIt,maxErr)

Non-parametric error/confidence intervals by Matthew Nelson

Calc standard error of the mean or non-parametric confidence intervals for samples of a time series (statistics, nonparametric, chebyshev)

DataSeriesNonParamErr(Dat,Type,alpha)

Calculate roots of Chebyshev polynomials. by Russell Francis

Calculate the roots of a Chebyshev polynomial of arbitrary degree. (chebyshev, root, approximation)

ChebyshevRoots( n, type, range )

Design of Mechanism for Function Generator With 5 accuracy point by morteza ahmadi

This is my Mechanism Design project in Mechanical Engineering department of Amkabir University. (chebyshef, optimum diagram, 4 bar)

mech_export(varargin)

ChebyshevTools by Michael Watson

Tool box for solving ODE/PDEs using spectral Chebyshev differentiation matrices. (differential equation..., chebyshev, spectral differentiat...)

A=expD(M,ord,mod);

A_res=restrictA(A,m)

B=inv_deriv1(M);

Real roots on interval by Stephen Morris

Find all real roots of an arbitrary function over an arbitrary interval (approximation, interpolation, real)

roots=FindRealRoots(funhandle,a,b,n)

Fast Chebyshev Differentiation by Greg von Winckel

Computes the numerical derivative on the Chebyshev grid. (approximation, interpolation, chebyshev)

Dx=fastdiff(x);

Polyfit at Chebyshev Points by Tyrone Uy

Program demo using polyfit for plot chebyshev points. (polyfit, chebyshev, points)

Chebyshev2b.m

Fast Chebyshev Transform (1D) by Greg von Winckel

Transfroms between nodal and spectral values. (approximation, interpolation, fast)

B=fcgltran(A,direction)

ortho_poly.m (Chebyshev polynomials) by Balajee Ananthasayanam

Evaluates chebyshev polynomials with vector arguments for vector arguments x. (approximation, chebyshev, vector)

pl=ortho_poly(kf,x,n)

Chebyshev Series Product by Greg von Winckel

Computes the product of two Chebyshev expansions. (approximation, interpolation, chebyshev)

c=chebprod(a,b)

Chebyshev-Pade Approximation by Greg von Winckel

Computes the rational Chebyshev approximation of a function. (approximation, interpolation, chebyshev)

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

Chebyshev to Jacobi Conversion by Greg von Winckel

Converts a Chebyshev polynomial expansion to a Jacobi expansion (approximation, interpolation, chebyshev)

jac=cheb2jac(a,b,cheb)

Jacobi to Chebyshev Conversion by Greg von Winckel

Converts a Jacobi polynomial expansion to a Chebyshev expansion. (approximation, interpolation, jacobi)

cheb=jac2cheb(a,b,jac)

Chebyshev to Gegenbauer Conversion by Greg von Winckel

Converts Chebyshev polynomials to Gegenbauer polynomials. (approximation, interpolation, gegenbauer ultraspher...)

geg=cheb2geg(a,cheb)

Gegenbauer to Chebyshev Conversion by Greg von Winckel

Converts Gegenbauer polynomials to Chebyshev polynomials. (gegenbauer ultraspher..., chebyshev, approximation)

cheb=geg2cheb(a,geg)

2D Chebyshev Transform by Greg von Winckel

Transforms between 2d nodal and spectral data (transform, 2d, chebyshev)

B=fcgltran2d(A,direction)

Analog Filter Design by M M

Analog filter design using Butterworth & Chebyshev approximations. (analog filter design, butterworth, filter design)

filters.m