On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations

DOI10.1002/nla.1868zbMath1324.65105OpenAlexW2145767855MaRDI QIDQ4982960

Zhi-Ru Ren, Raymond Honfu Chan, Zhong Zhi Bai

Publication date: 13 April 2015

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1868

zbMATH Keywords

convergence analysislinear systemnumerical examplespreconditioningtwo-point boundary value problemeigenvalue estimateorder reductionthird-order ordinary differential equationKrylov subspace iteration methodssinc-Galerkin discretizationsinc-collocation discretization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Preconditioners for iterative methods (65F08)

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