A 17th-order radau IIA method for package \texttt{RADAU}. Applications in mechanical systems

DOI10.1016/j.camwa.2009.12.025zbMath1193.65108OpenAlexW2067444308MaRDI QIDQ988204

Jesús Martín-Vaquero

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.12.025

zbMATH Keywords

stiff problemsimplicit Runge-Kuttamechanical problems\texttt{RADAU} methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04) Numerical methods for stiff equations (65L04)

Uses Software

• Mathematica
• MEBDF
• RADAU
• DASSL
• RODAS
• LSODE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• MEBDF
• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• Order stars and rational approximants to exp(z)
• Stabilized starting algorithms for collocation Runge-Kutta methods.
• Stiff differential equations solved by Radau methods
• Adapted BDF algorithms: Higher-order methods and their stability
• Variable step implementation of ETD methods for semilinear problems
• Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods
• Fourth Order Chebyshev Methods with Recurrence Relation
• Solving Ordinary Differential Equations I
• A necessary condition forB-stability
• Implicit Runge-Kutta Processes
• Implementation of high-order implicit Runge-Kutta methods