On very accurate verification of solutions for boundary value problems by using spectral methods

DOI10.14495/JSIAML.1.21zbMath1278.65185OpenAlexW2072029343MaRDI QIDQ2858137

Takehiko Kinoshita, Mitsuhiro T. Nakao

Publication date: 19 November 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jsiaml&kijiCd=1_0_21&screenID=AF06S010&noVol=1&noIssue=0

zbMATH Keywords

numerical examplespectral methodnumerical verificationnonlinear elliptic boundary value problemguaranteed error bound

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Algorithms with automatic result verification (65G20)

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Inclusion method of optimal constant with quadratic convergence for \(H_0^1\)-projection error estimates and its applications

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