Application of the pattern equation method in spheroidal coordinates to solving diffraction problems with highly prolate scatterers
Andrey I. Kleev, Alexander G. Kyurkchan
Abstract
Andrey I. Kleev, Alexander G. Kyurkchan
Abstract
The equations of the diagram equation method are formulated in terms of prolate spheroidal coordinates. Examples of the convergence and stability of numerical algorithms based on the proposed approach are considered. The results of calculations are compared wherever possible to the data obtained by other methods.
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The equations of the diagram equation method are formulated in terms of prolate spheroidal coordinates. Examples of the convergence and stability of numerical algorithms based on the proposed approach are considered. The results of calculations are compared wherever possible to the data obtained by other methods.
Key concepts: Prolate spheroidal coordinates, Prolate spheroid, Convergence (economics), Stability (learning theory), Diagram, Diffraction, Oblate spheroid, Mathematical analysis