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math.NA2016
A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations
Nicholas Hale, Sheehan Olver
A fast algorithm (linear in the degrees of freedom) for the solution of linear variable-coefficient rational-order fractional integral and differential equations is described. The…
math.NA2016
Fast polynomial transforms based on Toeplitz and Hankel matrices
Alex Townsend, Marcus Webb, Sheehan Olver
Many standard conversion matrices between coefficients in classical orthogonal polynomial expansions can be decomposed using diagonally-scaled Hadamard products involving Toeplitz…