A test set for stiff initial value problem solvers in the open source software R: Package \textbf{deTestSet}

DOI10.1016/j.cam.2012.03.014zbMath1246.65104OpenAlexW1980524722WikidataQ115100156 ScholiaQ115100156MaRDI QIDQ433962

Karline Soetaert, Jeff R. Cash, Francesca Mazzia

Publication date: 9 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.03.014

zbMATH Keywords

Rnumerical examplesordinary differential equationsinitial value problemsdifferential algebraic equationstest problemsimplicit differential equationsR open source software projectR package \texttt{deTestSet}

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Packaged methods for numerical algorithms (65Y15) Numerical methods for stiff equations (65L04)

Related Items (6)

A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods ⋮ 3-point block backward differentiation formula with an off-step point for the solutions of stiff chemical reaction problems ⋮ Construction of Rosenbrock-Wanner method Rodas5p and numerical benchmarks within the Julia differential equations package ⋮ Improvement of Rosenbrock-Wanner Method RODASP ⋮ deTestSet ⋮ Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems

Uses Software

• Mathematica
• Matlab
• MEBDF
• Octave
• R
• Scilab
• VODE
• RODAS
• deSolve
• RootSolve
• BvpSolve
• ODEPACK
• BiM
• diffEq
• BiMD

Cites Work

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• MEBDF
• Blended implicit methods for the numerical solution of DAE problems
• Detecting stiffness with the Fehlberg (4,5) formulas
• Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques
• The BiM code for the numerical solution of ODEs.
• Solving Differential Equations in R
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• VODE: A Variable-Coefficient ODE Solver
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• An MEBDF code for stiff initial value problems
• Solving boundary value problems in the open source software R: package bvpSolve

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