BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-69-121
       ENTRY:: November 27, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Accurate bounds for the eigenvalues of the Laplacian and
               applications to rhombical domains
        TYPE:: Technical Report
      AUTHOR:: Moler, Cleve B.
        DATE:: February 1969
       PAGES:: 18
    ABSTRACT:: We deal with 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.
       NOTES:: [Adminitrivia V1/Prg/19951127]
         END:: STAN//CS-TR-69-121