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G. Hall, M. Suleiman (1985)
A Single Code for the Solution of Stiff and Nonstiff ODE’sSiam Journal on Scientific and Statistical Computing, 6
(1982)
Notes on partitioning in the solution of stiff equations
L. Petzold (1983)
Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential EquationsSiam Journal on Scientific and Statistical Computing, 4
(1985)
Received February ACM Transactions on Mathematical Software
(1982)
Notes on partitioning in the solution of stiff equations. Computing Memo 488, Section 366
(1977)
Characterisation of optimal stepsize sequences for methods for stiff differential equations
L. Shampine (1977)
Stiff and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta MethodsACM Trans. Math. Softw., 3
(1979)
Some topics in stability for numerical methods for ordinary differential equations. M.SC
(1979)
Some topics in stability for numerical methods for ordinary differential equations
B. Lindberg (1977)
Characterization of Optimal Stepsize Sequences for Methods for Stiff Differential EquationsSIAM Journal on Numerical Analysis, 14
(1983)
Automatic selection of methods for solving stiff and nonstiff systems of ODE's
Understanding the behavior of Runge-Kutta codes when stability considerations restrict the stepsize provides useful information for stiffness detection and other implementation details. Analysis of equilibrium states on test problems is presented which provides predictions and insights into this behavior. The implications for global error are also discussed.
ACM Transactions on Mathematical Software (TOMS) – Association for Computing Machinery
Published: Sep 1, 1985
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