Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique

DOI10.1155/2017/5945080zbMath1426.65112OpenAlexW2581270168WikidataQ59147649 ScholiaQ59147649MaRDI QIDQ1992916

Yanyan Li

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/5945080

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)

Cites Work

• Unnamed Item
• On a family of trigonometrically fitted extended backward differentiation formulas for stiff and oscillatory initial value problems
• An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method
• Parallel implementation of block boundary value methods for ODEs
• Symmetric boundary value methods for second order initial and boundary value problems
• Stability properties of some boundary value methods
• A family of boundary value methods for systems of second-order boundary value problems
• A computational study of the boundary value methods and the block unification methods for \(y = f(x, y, y')\)
• High-order multistep methods for boundary value problems
• Numerical approximations of second order PDEs by boundary value methods and the method of lines
• Solutions of boundary‐value problems by the Lanczos–Chebyshev reduction method
• Continuous finite difference approximations for solving differential equations
• A boundary value approach to the numerical solution of initial value problems by multistep methos^†

This page was built for publication: Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique