References
- Chu , M. T. 1998 . Inverse eigenvalue problems . Siam Review , 40 ( 1 ) : 1 – 39 .
- Hald , O. H. 1978 . The Inverse Sturm—Liouville Problem and the Rayleigh—Ritz Method . Mathematics of Computation , 32 ( 143 ) : 687 – 705 .
- Knobel , R. and Mclaughlin , J. R. 1994 . A reconstruction method for a two— dimensional inverse eigenvalue problem . Z. Angew. Math. Phys , 45 ( 143 ) : 794 – 826 .
- Maeve Mccarthy , C. 1999 . “ Recovery of a density from the eigenvalues fo a nonhomogeneous membrane ” . In Inverse Problems in Engineering: Theory and Practice , Edited by: Woodbury , Keith A. ASME .
- Mclaughlin , J. R. 1986 . Analytical methods for recovering coefficients in differential equations from spectral data . Siam Review , 28 ( 1 ) : 53 – 72 .
- Nachman , A. , Sylvester , J. and Uhlmann , G. 1988 . An n—Dimensional BorgLevinson Theorem . Communications in Mathematical Physics , 115 ( 1 ) : 595 – 605 .
- Rundell , W. and Sacks , P. E. 1992 . Reconstruction techniques for classical inverse Sturm—Liouville problems . Mathematics of Computation , 58 ( 197 ) : 161 – 183 .
- Strang , Gilbert S. and Fix , George J. 1973 . An analysis of the finite element method , Englewood Cliffs, N.J : Prentice—Hall .
- Weinberger , H. 1974 . “ Variational Methods for Eigenvalue Approximation ” . In CBMS—NSF Regional Conference Series in Applied Mathematics , Vol. 15 , Siam .