The Round Taylor Method

DOI10.1080/00029890.2019.1546087zbMath1454.65049OpenAlexW2921903162MaRDI QIDQ4628419

Oscar M. Perdomo

Publication date: 13 March 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1546087

zbMATH Keywords

numerical methodsordinary differential equationsround-off errorTaylor methodinitial-value problemsglobal error

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (1)

Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions

Uses Software

• Taylor

Cites Work

• Unnamed Item
• Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems
• Verification methods: Rigorous results using floating-point arithmetic
• Connections Between Power Series Methods and Automatic Differentiation
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight

This page was built for publication: The Round Taylor Method