Detecting stiffness with the Fehlberg (4,5) formulas

DOI10.1016/0898-1221(77)90112-2zbMath0372.65028OpenAlexW1973088429MaRDI QIDQ1244035

K. L. Hiebert, Lawrence F. Shampine

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0898-1221(77)90112-2

Mathematics Subject Classification ID

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

Related Items (8)

The art of writing a Runge-Kutta code. II ⋮ A test set for stiff initial value problem solvers in the open source software R: Package \textbf{deTestSet} ⋮ Construction of explicit Runge-Kutta pairs with stiffness detection ⋮ Software based on explicit RK formulas ⋮ Numerical approaches for solutions of differential equations on manifolds ⋮ An efficient approach for the numerical simulation of multibody systems ⋮ Run time estimation of the spectral radius of Jacobians ⋮ Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadrature and Runge-Kutta formulas
• On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Stiffness and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods
• Comparing Numerical Methods for Ordinary Differential Equations

This page was built for publication: Detecting stiffness with the Fehlberg (4,5) formulas