Nonstiff problems

Hairer, E., Norsett, S., and Wanner, G., Solving Ordinary Differential Equations Nonstiff Problems, Springer-Verlag, Berlin, 2nd ed., 1993. 

E. Hairer, S.P. Norsett and G. Wanner, Solving Ordinary Differential equations I, Nonstiff Problems, Springer, Berlin, Heidelberg, 1993. 

The following classes for the solution of nonstiff problems, which are based on Runge-Kutta explicit algorithms, are implemented in the BzzMath library ... 

It is evident that in the case of nonstiff problems, the selection to waste no calculations to search for an accurate convergence for the implicit method is reasonable since we do not need an extremely stable method in this case. 

Since the predictor-corrector method is particularly suitable (when it works) in terms of computational times and memory allocation (it does not need to store the Jacobian), it is used with nonstiff problems and with algorithms that are not good at solving stiff problems, but with better accuracy featiu-es (usually the Adams-Moulton methods are adopted). 

For the nonstiff problems, based on multivalue algorithms of the Adams-Moulton family ... 

In the following example, the difference between an algorithm for stiff problems and one for nonstiff problems is highlighted. 

A bit of confusion may arise between stiff and nonstiff problems and well- and ill-conditioned systems. For example, the equation... 

Hairer, E., Nprsett, S., Wanner, G. Solving Ordinary Differential Equations I Nonstiff Problems, 2nd edn. Springer (2009). ISBN 978-3642051630... 

Hairer E, Nprsett SP, Wanner G (1987) Solving ordinary differential equations 1. Nonstiff problems. Springer, Berlin... 

NOTE As a rule of thumb, try first the recommended MATLAB solvers for nonstiff problems. If they do not work properly (i.e., the computer freezes or erroneous results are produced) then move to... 

The two main routines for solving ODE-IVPs are ode45 and odelBs. For nonstiff problems, the exphcit ode45 method is recommended. For stilF systems, the imphcit ode15s is preferred. A hst of available ODE solvers is returned by help funfun. For... 

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