Accession Number:

AD0748774

Title:

Spline Approximation and Difference Schemes for the Heat Equation.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-06-01

Pagination or Media Count:

37.0

Abstract:

It is proved that the spline approximation by Galerkins method of the solution of the initial-value problem for the heat equation can be considered as the successive application of an associated finite difference operator and a spline interpolation operator. If the splines considered are of order mu, the finite difference operator is parabolic and accurate of order 2mu - 2. Some consequences of this fact are discussed. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE