Numerical Algorithms for Second Order Systems; Applications to Higher Order Conjugate Points and Eigenvalue Problems

DOI10.1080/00036818308839424zbMath0476.65057OpenAlexW1986566301WikidataQ58136009 ScholiaQ58136009MaRDI QIDQ3932233

Charles Gibson, John Gregory

Publication date: 1983

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818308839424

zbMATH Keywords

finite elementconjugate pointsquadratic formsconvergence theoremsRichardson's extrapolationeigenvalue problemssecond order systemsRayleigh- Ritzoscilltion problems

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Cites Work

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• Numerical algorithms for oscillation vectors of second order differential equations including the Euler-Lagrange equation for symmetric tridiagonal matrices

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