Error estimates for shooting methods in two-point boundary value problems for second-order equations

DOI10.1016/0096-3003(94)90107-4zbMath0790.65070OpenAlexW2013450517MaRDI QIDQ1316132

Paolo Ghelardoni, Pietro Marzulli

Publication date: 27 June 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90107-4

zbMATH Keywords

numerical exampleerror estimatesshooting methodsystem of second-order differential equations

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Cites Work

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• Global error estimates for the standard parallel shooting method
• Thirteen ways to estimate global error
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• Estimation of the global discretization error in shooting methods for linear boundary value problems
• Numerical solution of ordinary differential equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations