Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly

K.M Liu; E.L Ortiz

doi:10.1016/0021-9991(87)90085-4

Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly

K.M Liu, E.L Ortiz

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

14 Citations (Scopus)

Abstract

We discuss the use of recent new formulations of the Tau method for the numerical approximation of differential eigenvalue problems where the spectral parameter appears nonlinearly. Our approach enables us to translate the differential eigenvalue problem into a generalized algebraic eigenvalue problem, which is formulated by using a standard technique easy to implement in a computer. We consider several examples and report results of high accuracy. © 1987.

Original language	English
Pages (from-to)	299-310
Journal	Journal of Computational Physics
Volume	72
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(87)90085-4
Publication status	Published - Oct 1987
Externally published	Yes

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title = "Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly",

abstract = "We discuss the use of recent new formulations of the Tau method for the numerical approximation of differential eigenvalue problems where the spectral parameter appears nonlinearly. Our approach enables us to translate the differential eigenvalue problem into a generalized algebraic eigenvalue problem, which is formulated by using a standard technique easy to implement in a computer. We consider several examples and report results of high accuracy. {\textcopyright} 1987.",

author = "K.M Liu and E.L Ortiz",

year = "1987",

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doi = "10.1016/0021-9991(87)90085-4",

language = "English",

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T1 - Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly

AU - Liu, K.M

AU - Ortiz, E.L

PY - 1987/10

Y1 - 1987/10

N2 - We discuss the use of recent new formulations of the Tau method for the numerical approximation of differential eigenvalue problems where the spectral parameter appears nonlinearly. Our approach enables us to translate the differential eigenvalue problem into a generalized algebraic eigenvalue problem, which is formulated by using a standard technique easy to implement in a computer. We consider several examples and report results of high accuracy. © 1987.

AB - We discuss the use of recent new formulations of the Tau method for the numerical approximation of differential eigenvalue problems where the spectral parameter appears nonlinearly. Our approach enables us to translate the differential eigenvalue problem into a generalized algebraic eigenvalue problem, which is formulated by using a standard technique easy to implement in a computer. We consider several examples and report results of high accuracy. © 1987.

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U2 - 10.1016/0021-9991(87)90085-4

DO - 10.1016/0021-9991(87)90085-4

M3 - RGC 21 - Publication in refereed journal

SN - 0021-9991

VL - 72

SP - 299

EP - 310

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly

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