Accession Number : AD0748767

Title :   Discrete Time Galerkin Methods for a Parabolic Boundary Value Problem.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Bramble,James H. ; Thomee,Vidar

Report Date : JUN 1972

Pagination or Media Count : 59

Abstract : Single step discrete time Galerkin methods for the mixed initial-boundary value problem for the heat equation are studied. Two general theoreis leading to error estimates are developed. Among the examples analyzed in the application of these theories are methods in which the related quadratic form is required to be definite only the subspace of approximating functions and two classes containing methods of arbitrary given order of accuracy, one requiring satisfaction of certain boundary conditions by the elements of the subspace, the other making no such requirements. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*CONDUCTION(HEAT TRANSFER), BOUNDARY VALUE PROBLEMS), APPROXIMATION(MATHEMATICS), CALCULUS OF VARIATIONS, MAPPING(TRANSFORMATIONS), ERRORS, HILBERT SPACE, THEOREMS

Subject Categories : Theoretical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE