References

[1]
J. R. Kuttler and V. G. Sigillito, `Eigenvalues of the Laplacian in two dimensions', SIAM Review, 26(2), 163-193 (1984).
[2]
A. J. Burton, The Solution of Helmholtz Equation in Exterior Domains using Integral Equations. NPL Report NAC30, National Physical Laboratory, Teddington, Middlesex, U.K. (1973).
[3]
R. E. Kleinmann and G. F. Roach, `Boundary Integral Equations for the three-dimensional Helmholtz Equation', SIAM Review, 16 (2), 79-90 (1974).
[4]
H. A. Schenck, `Improved Integral Formulation for Acoustic Radiation Problems', Journal of the Acoustical Society of America, 44(1), 41-68 (1958).
[5]
M. N. Sayhi, Y. Ousset and G. Verchery, `Solution of Radiation Problems by Collocation of Integral Formulations in terms of Single and Double Layer Potentials', Journal of Sound and Vibration, 74(2), 187-204 (1981).
[6]
R. Kress and W. T. Spassov, `On the Condition Number of Boundary Integral Operators for the Exterior Dirichlet Problem for the Helmholtz Equation', Numerische Mathamatik, 42, 77-95 (1983).
[7]
R. Kress, `On the Condition of the Boundary Integral Operators in Scattering', Quarterly Journal Mech. appl. Math, 38(2) (1985).
[8]
S. Amini, `On the Choice of Coupling Parameter in Boundary Integral Formulations of the Exterior Acoustic Problem', Applicable Analysis, 35, 75-92 (1990).
[9]
S. M. Kirkup, `The Influence of the Weighting Parameter on the Solution of the Exterior Helmholtz Equation by Improved Boundary Element Methods', to appear in Wave Motion (1992).
[10]
M. Petyt, `Finite Element Techniques for Acoustics', in Theoretical Acoustics and Numerical Techniques, edited by P. J. T. Fillippi, Springer-Verlag (1983).
[11]
P. Lancaster, `A Review of Numerical Methods for Eigenvalue Problems Nonlinear in Parameter', Numerik und Andwendungen von Eigenwertaufgaben und Verzweigungsproblemen (edited by E. Bohl, L. Collatz and K. P. Hedeler), ISNM 38, Basel-Stuttgart, Birkhauser (1977).
[12]
A. Ruhe, `Algorithms for the Non-Linear Eigenvalue Problem', SIAM Journal of Numerical Analysis, 10, 674-689 (1973).
[13]
R. Wobst, `The Generalized Eigenvalue Problem and Acoustic Surface Wave Computations', Computing, 39, 57-69 (1987).
[14]
G. R. C. Tai and R. P. Shaw, `Helmholtz-Equation Eigenvalues and Eigenmodes for Arbitrary Domains', Journal of the Acoustical Society of America, 53(3), 796-804 (1974).
[15]
G. De Mey, `Calculation of Eigenvalues of the Helmholtz Equation by an Integral Equation', International Journal for Numerical Methods in Engineering, 10, 59-66 (1976).
[15]
G. De Mey, `A Simplified Integral Equation Method for the Calculation of the Eigenvalues of Helmholtz Equation', International Journal for Numerical Methods in Engineering, 10, 1340-1342 (1976).
[17]
J. O-O. Adeyeye, Boundary Integral Equation Methods for the Solution of Helmholtz Problems, PhD thesis, Imperial College, University of London, U.K. (1982).
[18]
J. O-O. Adeyeye, M. J. M. Bernal and K. E. Pitman, `An Improved Boundary Integral Equation Method for Helmholtz Equations', International Journal for Numerical Methods in Engineering, 21, 779-787 (1985).
[19]
Ya Yan Lu and Shing-Tung Yau, `Eigenvalues of the Laplacian through Boundary Integral Equations', SIAM J. Matrix Anal. Appl., 12(3), 597-609 (1991).
[20]
P. K. Banerjee, S. Ahmad and H. C. Wang, `A New BEM Formulation for the Acoustic Eigenfrequency Analysis', International Journal for Numerical Methods in Engineering, 26, 1299-1309 (1988).
[21]
J. P. Coyette and K. R. Fyfe, `An Improved Formulation for Acoustic Eigenmode Extraction from Boundary Element Models', ASME Journal of Vibration and Acoustics, 112, 392-398 (1990).
[22]
A. Ali, C. Rajakumar and S. M. Yunus, `On the Formulation of the Acoustic Boundary Element Eigenvalue Problems', International Journal of Numerical Methods in Engineering, 31, 1271-1282 (1991).
[23]
M. A. Jaswon and G. T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press (1977).
[24]
S. M. Kirkup, Solution of Exterior Acoustic Problems by the Boundary Element Method, PhD thesis, Brighton Polytechnic, Brighton, U.K. (1989).
[25]
H. A. Schenck and G. W. Benthien, `The Application of a Coupled Finite-Element Boundary-Element Technique to Large-Scale Structural Acoustic Problems', Proceedings of the Eleventh International Conference on Boundary Elements (Edited by C. A. Brebbia and J. J. Connor), 2, 309-318 (1989).
[26]
S. M. Kirkup and D. J. Henwood, `Methods for Speeding up the Boundary Element Solution of Acoustic Radiation Problems', to appear in the ASME Journal of Vibration and Acoustics (1992).
[27]
C. B. Moler and G. W. Stewart, `An Algorithm for Generalized Matrix Eigenvalue Problems', SIAM Journal of Numerical Analysis, 10(2), 241-256 (1973).
[28]
NAG Library, The Numerical Algorithms Group, Oxford, UK.
[29]
G. Peters and J. H. Wilkinson, `A x = lB x and the Generalized Eigenproblem', SIAM Journal of Numerical Analysis, 7(4), 479-492 (1970).
[30]
I. Gohberg, P. Lancaster and L. Rodman, Matrix Polynomials, Academic Press (1982).
[31]
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York (1974).
[32]
S. M. Kirkup, Fortran Codes for Computing the Discrete Helmholtz Integral Operators, Report MCS-90-09 , Department of Mathematics and Computer Science, University of Salford, Salford, U. K. (1990).