No BSD License
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A=expD(M,ord,mod);
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A_res=restrictA(A,m)
this function extracts the submatrix A(1+m:end,1:end-m)
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B=inv_deriv1(M);
This function returns one matrix, for solving
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B=inv_derivP(M,P)
this function returns the Pth quasi inverse for Chebycheb differentiation
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B=pseudo_eye(M,P)
this function returns the pseudo-identity matrix I^(P), where there are
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D=deriv(M);
returns the first order chebyshev spectral differentiation matrix
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D=deriv2(M);
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P=cheb2poly(U)
this function converts the spectral representation of a function in Chebyshev polynomials
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S=stencil_mat(M,typ)
this function returns the stencil matrix associated with the related
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Y=cheb2phys2(X);
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Y=cheb2phys3(X);
3d transform chebyshev to physical space
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Y=phys2cheb2(X);
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Y=phys2cheb3(X);
3d transform physical space to chebyshev
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[BIG_OP,BIG_rhs]=bc_2d_new(P,...
Generate the tau line boundary conditions and the appropriate rhs vector
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[BIG_OP,BIG_rhs]=bc_2d_new_to...
Generate the tau line boundary conditions and the appropriate rhs vector
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[OP,rhs]=bc_1d(M,bc_type,bc_v...
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f=galerkin2cheb(g,typ)
this function transforms from the galerkin basis to the chebyshev basis
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f=galerkin2cheb2(g,typ)
this function transforms from the galerkin basis to the chebyshev basis in
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f=galerkin2cheb3(g,typ)
this function transforms from the galerkin basis to the chebyshev basis in
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g=cheb2galerkin(f,typ)
this function transforms from the chebyshev basis to the galerkin basis
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g=cheb2galerkin2(f,typ)
this function transforms from the galerkin basis to the chebyshev basis in
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g=cheb2galerkin3(f,typ)
this function transforms from the galerkin basis to the chebyshev basis in
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test_problem(M,N,tc)
This function is run from the command line taking argumetns
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v=getdiag(A,n);
extract the nth diag from matrix A
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x=cheb_grid(N);
this function returns a chebyshev grid on the interval [-1,1]
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y=cheb2phys(F);
Written by Mike Watson, November 29
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y=definite_integral_cart(F,X1...
Calculate the definite integral of a function defined by spectral
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y=myC(p)
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y=phys2cheb(f);
Written by Mike Watson, November 29
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deriv3.m
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View all files
ChebyshevTools
by Michael Watson
28 Jan 2008
(Updated 29 Jan 2008)
Tool box for solving ODE/PDEs using spectral Chebyshev differentiation matrices.
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Watch this File
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| File Information |
| Description |
This toolbox contains a collection of m-files which may be used to numerically solve discretized ODE/PDEs on a Chebyshev grid. Included are scripts for building differentiation matrices, enforcing boundary conditions using either the Laczos Tau method or Galerkin basis functions, spectral transforms, and quasi-inverse operators. |
| MATLAB release |
MATLAB 7 (R14)
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