The Mathematical Institute, University of Oxford, Eprints Archive

The chebop system for automatic solution of differential equations

Driscoll, Tobin A. and Bornemann, Folkmar and Trefethen, Lloyd N. (2008) The chebop system for automatic solution of differential equations. Technical Report. Unspecified. (Submitted)

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Abstract

In MATLAB, it would be good to be able to solve a linear differential equation by typing u = L\f, where f, u, and L are representations of the right-hand side, the solution, and the differential operator with boundary conditions. Similarly it would be good to be able to exponentiate an operator with expm(L) or determine eigenvalues and eigenfunctions with eigs(L). A system is described in which such calculations are indeed possible, based on the previously developed chebfun system in object-oriented MATLAB. The algorithms involved amount to spectral collocation methods on Chebyshev grids of automatically determined resolution.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1067
Deposited By:Lotti Ekert
Deposited On:21 Apr 2011 08:33
Last Modified:21 Apr 2011 08:33

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