Accession Number : AD0744994
Title : Rate of Convergence Estimates for Non-Selfadjoint Eigenvalue Approximations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Bramble,J. H. ; Osborn,J. E.
Report Date : JUN 1972
Pagination or Media Count : 58
Abstract : In the paper a general approximation theory for the eigenvalues and corresponding subspaces of generalized eigenfunctions of a certain class of compact operators is developed. This theory is then used to obtain rate of convergence estimates for the errors which arise when the eigenvalues of non-selfadjoint elliptic partial differential operators are approximated by Rayleigh-Ritz-Galerkin type methods using finite dimensional spaces of trial functions, e.g. spline functions. The approximation methods include several in which the functions in the space of trial functions are not required to satisfy any boundary conditions. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, *APPROXIMATION(MATHEMATICS)), BOUNDARY VALUE PROBLEMS, CONVERGENCE, OPERATORS(MATHEMATICS), VECTOR SPACES, MAPPING(TRANSFORMATIONS), INEQUALITIES, THEOREMS, NUMERICAL ANALYSIS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE