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631-638, 1979. ; Multidimensional Singular Integrals and Integral Equations, Pergamon press, Oxford, 1965. ; Improved integral formulation for acoustic radiation problems, /. Acoust. Soc. , Vol. 44, pp. 41-58, 1968. ; Boundary integral equation methods applied to wave problems, Developments in Boundary Element Methods-1, Ch. 6, Eds. K. , London, pp. 121-153, 1979. ; A Course of Higher Mathematics, Vol. 4, Pergamon Press, Oxford, 1964. ; On the exterior problems of acoustics, Proc. Cambridge Phil.

Both indirect and direct formulations seem to have their origin at an early stage in the 1960s in the sense that they have used as numerical techniques to solve the boundary value problems. The indirect formulation has been used by Hess 19) ' 20) for potential flow problems, and used by Chen and Schweikert13) for sound radiation problems. Elastic potentials which are used in this treatise have been first introduced by Kupradze23)>25) for steady-state elastodynamic problems. Analogous sigularity methods have been utilized by Massonnet26) and Rieder27).

Solids and Struc­ tures, Vol. 5, pp. 1259-1274, 1969. A. and Rizzo, F J . (eds); Boundary-Integral Equation Method: Computational Ap­ plications in Applied Mechanics, ASME, AMD-Vol. 11, New York, 1975. A. et al. (eds); International Symposium on Innovative Numerical Analysis in Ap­ plied Engineering Sciences, CETIM, Senlis, France, 1977. B. ; Diffraction of pulses by cylindrical obstacles of arbitrary cross section, / Appl. Meek, Vol. 29, pp. 40-46, 1962. ; Systematic compilation of integral equations of the Rizzo type and of Kupradze's functional equations for boundary value problems of plane elastostatics, Journal of Elastici­ ty, Vol.

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