2015•Acoustical PhysicsRequires access

Application of the pattern equation method in spheroidal coordinates to solving diffraction problems with highly prolate scatterers

Andrey I. Kleev, Alexander G. Kyurkchan

Open publisher page 7 citations

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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What this paper is about

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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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Prolate spheroidal coordinates, Prolate spheroid, Convergence (economics), Stability (learning theory), Diagram, Diffraction, Oblate spheroid, Mathematical analysis

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Application of the pattern equation method in spheroidal coordinates to solving diffraction problems with highly prolate scatterers — Research Paper | ScholarLens