Accession Number : AD0718987

Title :   Local Bases and Computation of g-Splines,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Jerome,Joseph W. ; Schumaker,Larry L.

Report Date : SEP 1970

Pagination or Media Count : 25

Abstract : The g-splines were introduced to solve certain Hermite-Birkhoff interpolation problems. In this paper local support bases are given for the class of g-splines and corresponding algorithms are developed for computing them. This provides new methods for accurate and efficient solution of Hermite-Birkhoff interpolation problems. Some applications in quadrature and numerical solution of boundary value problems are discussed. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), (*INTERPOLATION, ALGORITHMS), NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, POLYNOMIALS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE