Guaranteed accuracy for the Cauchy problem solved using the arc length method

DOI10.1134/S1064562413050219zbMath1282.65081MaRDI QIDQ393877

N. N. Kalitkin, I. P. Poshivaylo

Publication date: 24 January 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemarc length method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• RODAS

Cites Work

• Inverse \(Ls\)-stable Runge-Kutta schemes
• Arc-length method for differential equations
• Some general implicit processes for the numerical solution of differential equations
• Solving Ordinary Differential Equations II
• The Application of Newton’s Method to the Problem of Elastic Stability
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