Taylor series expansion using matrices: an implementation in MATLAB{\circledR}

DOI10.1016/j.compfluid.2015.01.009zbMath1390.65001OpenAlexW2020790120MaRDI QIDQ1645645

Amitabha Ghosh, Carlos Pantaleón

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.01.009

zbMATH Keywords

symbolic computationfinite differencesTaylor seriestruncation errormodified equation

Mathematics Subject Classification ID

Packaged methods for numerical algorithms (65Y15) Numerical approximation and computational geometry (primarily algorithms) (65D99) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Uses Software

• Matlab
• Taylor
• OpenCourseWare

Cites Work

• Unnamed Item
• The von Neumann analysis and modified equation approach for finite difference schemes
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• On the Scope of the Method of Modified Equations
• Numerical Methods for Ordinary Differential Equations

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