By Jayant Narlikar
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Additional info for A Journey Through The Universe
Filippi The geometrical data have an axis of symmetry. Thus, the functions ll and v depend on the X co-ordinate only ; this simp I ification is taken into account. The surface ~ is divided into 80 annular elements ~. on each of which 1 is approximated by a constant ll; ( i = 1'2' ... 80). The surface is divided into 32 annular elements a. and a is v 1 approximated by a set of constants vi (j = 1, 2, ... 32). Each annular surface element ~i and ai is divided into 80 subelements ~ik and aik , and the following approximation is adopted in equation (71-a) : ll areas of the 80 sub-elements of the 80 annular elements 1'2, ...
VAINBERG 1966 Russian Mathematiaal Surveys 21, 115-193. Principles of radiation, I imit absorption and I imit amp I itude in the general theory of partial differential equations . C. H. WILCOX 1975 Leature Notes in Mathematias: Saattering Theory for the d'Alembert Equation in Exterior Domains. Berlin-Heidelberg-New York : Springer Verlag. P. FILIPPI 1979 Journal de Meaanique 18 (3) 565-591. Probleme de transmission pour I 'equation de Helmholtz scalaire et problemes aux limites equivalents application a Ia transmission gaz parfait-milieux poreux.
BOUTET DE MONVEL 1971 Aata Mathematiaa 126, 11-51. Boundary problem~ for pseudo-differential operators. G. MIKHLIN 1965 Multidimensional Singular Integral Equations. Oxford : Pergamon Press. L. SCHWARTZ 1966 Theorie des distributions. Paris : Hermann. L. LANDAU and E. LIFCHITZ 1971 Meaanique des fluides. Mir. I. VEKUA 1968 New Method for Solving Elliptia Equations. Amsterdam : North Hoi land Publishing Company, New York: John Wiley and Sons Inc. R. VAINBERG 1966 Russian Mathematiaal Surveys 21, 115-193.
A Journey Through The Universe by Jayant Narlikar