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) : Thomee,Vidar

Report Date : JUN 1972

Pagination or Media Count : 37

Abstract : It is proved that the spline approximation by Galerkin's 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)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), (*CONDUCTION(HEAT TRANSFER), *PARTIAL DIFFERENTIAL EQUATIONS), DIFFERENCE EQUATIONS, CALCULUS OF VARIATIONS, APPROXIMATION(MATHEMATICS), POLYNOMIALS, NUMERICAL ANALYSIS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE