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arxiv: math/0411177 · v1 · submitted 2004-11-08 · 🧮 math.AP

Modified Rayleigh Conjecture for static problems

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keywords problemsconjecturemodifiedrayleighstaticalgorithmsallowsauthor
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Modified Rayleigh conjecture (MRC) in scattering theory was proposed and justified by the author (J.Phys A, 35 (2002), L357-L361). MRC allows one to develop efficient numerical algorithms for solving boundary-value problems. It gives an error estimate for solutions. In this paper the MRC is formulated and proved for static problems.

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