The method of non-orthogonal series for the numerical solution of problems of mathematical physics

Yu V. Kobylinskii; T. L. Popkova; G. Ya Slepyan

doi:10.1016/0041-5553(88)90235-2

The method of non-orthogonal series for the numerical solution of problems of mathematical physics

Yu V. Kobylinskii, T. L. Popkova, G. Ya Slepyan

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A version of the method of non-orthogonal series is considered in which the non-orthogonal functions for the expansion of the required solution are determined from a family of specially chosen boundary-value problems in a domain of simpler geometry than the given domain. Completeness theorems are proved. An implementation of the proposed approach is described for the case of transmission lines for transmitting electromagnetic waves in microwave integrated circuits (MIC).

Original language	English
Pages (from-to)	154-160
Number of pages	7
Journal	USSR Computational Mathematics and Mathematical Physics
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/0041-5553(88)90235-2
State	Published - 1988

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abstract = "A version of the method of non-orthogonal series is considered in which the non-orthogonal functions for the expansion of the required solution are determined from a family of specially chosen boundary-value problems in a domain of simpler geometry than the given domain. Completeness theorems are proved. An implementation of the proposed approach is described for the case of transmission lines for transmitting electromagnetic waves in microwave integrated circuits (MIC).",

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The method of non-orthogonal series for the numerical solution of problems of mathematical physics

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