Grid approximations of the pseudospectral type with an improved condition number for second-order differential operators

DOI10.1007/BF02399118zbMath0880.65060OpenAlexW1976771836MaRDI QIDQ1372828

Ivan P. Gavrilyuk

Publication date: 5 November 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02399118

zbMATH Keywords

eigenvalueasymptotic behaviorpseudospectral approximationssaturation-free grid methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Error estimates for the combined h and p versions of the finite element method
• An introduction to the numerical analysis of spectral methods. (Transl. of report CEA-N-2278, dated 1981, of the French Atomic Energy Commission, titled `Analyse numérique des méthodes spectrales')
• Fehlerfortpflanzung bei Interpolation
• Improved Condition Number for Spectral Methods
• Thep-Version of the Finite Element Method
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