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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

A discrete least squares method


Author: Peter H. Sammon
Journal: Math. Comp. 31 (1977), 60-65
MSC: Primary 65L10
MathSciNet review: 0431699
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Abstract: We consider a discrete least squares approximation to the solution of a two-point boundary value problem for a 2mth order elliptic operator. We describe the approximation space of piecewise polynomials and devise a Gaussian quadrature rule that is suitable for replacing the integrals in the usual least squares method. We then show that if the quadrature rule is of sufficient accuracy, the optimal order of convergence is obtained.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0431699-7
Article copyright: © Copyright 1977 American Mathematical Society