
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 initialvalue 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