Accession Number:

ADA089589

Title:

Local Piecewise Polynomial Projection Methods for an ODE which Give High-Order Convergence at Knots.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-05-01

Pagination or Media Count:

22.0

Abstract:

Local projection methods which yield Cm-1 piecewise polynomials of order mk as approximate solutions of a boundary value problem for an mth order ordinary differential equation are determined by the k linear functionals at which the residual error in each partition interval is required to vanish. We develop a condition on these k functionals which implies breakpoint superconvergence of derivatives of order less than m for the approximating piecewise polynomials. The same order of super-convergence is associated with eigenvalue problems. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE