Automatic implementation of the numerical Taylor series method: a \textsc{Mathematica} and \textsc{Sage} approach

DOI10.1016/J.AMC.2015.06.042zbMath1410.65243OpenAlexW815448968MaRDI QIDQ668104

Roberto Barrio, Alberto Abad, Marcos Rodríguez, Miguel Ángel Marco Buzunáriz

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.042

zbMATH Keywords

automatic differentiationTaylor series methodODEs\(\mathsf {TIDES}\)\textsc{Mathematica}\textsc{Sage}

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Quadratized Taylor series methods for ODE numerical integration ⋮ Landau: a language for dynamical systems with automatic differentiation ⋮ A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes

Uses Software

• Mathematica
• Maxima
• SageMath
• MPFR
• TIDES
• ATOMFT
• Taylor
• DAETS
• FFADlib

Cites Work

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