Solving stiff system by Taylor series

DOI10.1016/0096-3003(89)90121-5zbMath0688.65053OpenAlexW4231354626MaRDI QIDQ1263946

K. Appert

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90121-5

zbMATH Keywords

complexitystiff systemsTaylor series methodexponential componenthidden linear ODElong Taylor seriesTaylor series algorithm

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (2)

Status of the differential transformation method ⋮ Positive and conservative schemes for mass action kinetics

Uses Software

• ATOMCC

Cites Work

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• Numerical derivatives and nonlinear analysis
• Automatic differentiation: techniques and applications
• A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series
• Ratio-Like and Recurrence Relation Tests for Convergence of Series
• Solving Ordinary Differential Equations Using Taylor Series
• On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
• Comparing numerical methods for stiff systems of O.D.E:s
• A simple automatic derivative evaluation program
• Methods and Applications of Power Series
• The automatic solution of systems of ordinary differential equations by the method of Taylor series
• A special stability problem for linear multistep methods
• Integration of Stiff Equations

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