A MATLAB differentiation matrix suite

Authors:
J. A. Weideman;S. C. Reddy
Affiliations:
University of Stellenbosch;Oregon State University
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2000

Citing 18
Cited 34

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Abstract

A software suite consisting of 17 MATLAB functions for solving differential equations by the spectral collocation (i.e., pseudospectral) method is presented. It includes functions for computing derivatives of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. Auxiliary functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated how to use the package for solving eigenvalue, boundary value, and initial value problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability.