Connections Between Power Series Methods and Automatic Differentiation

DOI10.1007/978-3-642-30023-3_16zbMath1251.65023OpenAlexW105535419MaRDI QIDQ2913131

Joseph D. Rudmin, Roger J. Thelwell, David C. Carothers, G. Edgar Parker, James S. Sochacki, Anthony Tongen, Paul G. Warne, Stephen Lucas

Publication date: 26 September 2012

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-30023-3_16

zbMATH Keywords

numerical examplesautomatic differentiationnonlinear equationsroot findingrecursive power serieshigher-order Taylor methodsprojectively polynomial functions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical computation of solutions to single equations (65H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical differentiation (65D25)

Related Items (2)

Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic ⋮ The Round Taylor Method

Uses Software

• Matlab

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