Accession Number : AD0682978

Title :   ACCURATE BOUNDS FOR THE EIGENVALUES OF THE LAPLACIAN AND APPLICATIONS TO RHOMBICAL DOMAINS.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

Personal Author(s) : Moler,Cleve B.

Report Date : 19 FEB 1969

Pagination or Media Count : 20

Abstract : The report concerns the eigenvalues and eigenfunctions of Laplace's differential operator on a bounded two-dimensional domain G with zero values on the boundary. The paper describes a new technique for determining the coefficients in the expansion of an eigenfunction in terms of particular eigenfunctions of the differential operator. The coefficients are chosen to make the sum of the expansion come close to satisfying the boundary conditions. As an example, the eigenvalues and eigenfunctions are determined for a rhombical membrane. (Author)

Descriptors :   (*POTENTIAL THEORY, COMPUTER PROGRAMMING), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), (*SHELLS(STRUCTURAL FORMS), RESONANT FREQUENCY), OPERATORS(MATHEMATICS), BOUNDARY VALUE PROBLEMS, LEAST SQUARES METHOD, MATRICES(MATHEMATICS), INTERPOLATION, FUNCTIONS(MATHEMATICS), MEMBRANES, VIBRATION

Subject Categories : Statistics and Probability
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE