Accession Number:

ADA031968

Title:

Discrete Least Squares Approximations for Ordinary Differential Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-07-01

Pagination or Media Count:

52.0

Abstract:

The application of the least squares method, using C to the power q piecewise polynomials of order k m, K or m, q or m, for obtaining approximations to an isolated solution of a nonlinear m-th order ordinary differential equation, involves integrals which in practice need to be discretized. Using for this latter purpose the k-point Gaussian quadrature rule in each subinterval, the discrete least squares schemes obtained are close to collocation, on the same points, by piecewise polynomials from C to the power M-1.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE