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Highlights from
ChebyshevTools

• A=expD(M,ord,mod);
• A_res=restrictA(A,m) this function extracts the submatrix A(1+m:end,1:end-m)
• B=inv_deriv1(M); This function returns one matrix, for solving
• B=inv_derivP(M,P) this function returns the Pth quasi inverse for Chebycheb differentiation
• B=pseudo_eye(M,P) this function returns the pseudo-identity matrix I^(P), where there are
• D=deriv(M); returns the first order chebyshev spectral differentiation matrix
• D=deriv2(M);
• P=cheb2poly(U) this function converts the spectral representation of a function in Chebyshev polynomials
• S=stencil_mat(M,typ) this function returns the stencil matrix associated with the related
• Y=cheb2phys2(X);
• Y=cheb2phys3(X); 3d transform chebyshev to physical space
• Y=phys2cheb2(X);
• Y=phys2cheb3(X); 3d transform physical space to chebyshev
• [BIG_OP,BIG_rhs]=bc_2d_new(P,... Generate the tau line boundary conditions and the appropriate rhs vector
• [BIG_OP,BIG_rhs]=bc_2d_new_to... Generate the tau line boundary conditions and the appropriate rhs vector
• [OP,rhs]=bc_1d(M,bc_type,bc_v...
• f=galerkin2cheb(g,typ) this function transforms from the galerkin basis to the chebyshev basis
• f=galerkin2cheb2(g,typ) this function transforms from the galerkin basis to the chebyshev basis in
• f=galerkin2cheb3(g,typ) this function transforms from the galerkin basis to the chebyshev basis in
• g=cheb2galerkin(f,typ) this function transforms from the chebyshev basis to the galerkin basis
• g=cheb2galerkin2(f,typ) this function transforms from the galerkin basis to the chebyshev basis in
• g=cheb2galerkin3(f,typ) this function transforms from the galerkin basis to the chebyshev basis in
• test_problem(M,N,tc) This function is run from the command line taking argumetns
• v=getdiag(A,n); extract the nth diag from matrix A
• x=cheb_grid(N); this function returns a chebyshev grid on the interval [-1,1]
• y=cheb2phys(F); Written by Mike Watson, November 29
• y=definite_integral_cart(F,X1... Calculate the definite integral of a function defined by spectral
• y=myC(p)
• y=phys2cheb(f); Written by Mike Watson, November 29
• deriv3.m
• View all files