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THE CHEBOP SYSTEM FOR AUTOMATIC SOLUTION OF DIFFERENTIAL EQUATIONS

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, at least in one space dimension, based on the previously dev...

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Publication status:
Published

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Publisher copy:
10.1007/s10543-008-0198-4

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
BIT NUMERICAL MATHEMATICS
Volume:
48
Issue:
4
Pages:
701-723
Publication date:
2008-12-05
DOI:
EISSN:
1572-9125
ISSN:
0006-3835
URN:
uuid:c2bbff76-f1a1-4a45-bb0c-c969d6a82660
Source identifiers:
188386
Local pid:
pubs:188386

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