Discretization Principles for Linear Two-Point Boundary Value Problems

DOI10.1080/01630560600791296zbMath1151.65064OpenAlexW4256332543MaRDI QIDQ3432718

Tetsuro Yamamoto

Publication date: 18 April 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600791296

zbMATH Keywords

finite element methodsfinite difference methodstwo-point boundary value problemsdiscretization principles

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Discretization Principles for Linear Two-Point Boundary Value Problems, III, Discretization Principles for Linear Two-Point Boundary Value Problems, II, On solution uniqueness of elliptic boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Inversion of band matrices
• Yamamoto's principle and its applications to precise finite element error analysis.
• INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS^*