SPLINE FUNCTION APPROXIMATIONS FOR SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.

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Abstract:

Quadratic and cubic spline approximations to solutions of initial value problems are shown to be related to the trapezoidal rule and Milne-Simpson method, respectively, while higher degree splines lead to divergent methods.

Author(s):
Loscalzo, Frank R. ; Talbot, Thomas D.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0026

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-733
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*APPROXIMATION(MATHEMATICS), *TAYLORS SERIES, DIFFERENTIAL EQUATIONS, CONVERGENCE, ITERATIONS, THEOREMS, POLYNOMIALS, MAPPING(TRANSFORMATIONS), SEQUENCES(MATHEMATICS), INEQUALITIES, INTERPOLATION
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1967 Apr 01