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The MATLAB ODE suite. (English) Zbl 0868.65040
The paper presents mathematical and software developments that are the basis for a suite of programs for the solution of initial value problems ${y}^{\text{'}}=F\left(t,y\right)$, with initial conditions $y\left({t}_{0}\right)={y}_{0}$. The solvers for stiff problems allow the more general form $M\left(t\right){y}^{\text{'}}=f\left(t,y\right)$ with a nonsingular and sparse matrix $M\left(t\right)$. The programs are developed for MATLAB, which influences the choice of methods and their implementation.
##### MSC:
 65L05 Initial value problems for ODE (numerical methods) 65L06 Multistep, Runge-Kutta, and extrapolation methods 34E13 Multiple scale methods (ODE) 34A34 Nonlinear ODE and systems, general 34-04 Machine computation, programs (ordinary differential equations) 65Y15 Packaged methods in numerical analysis
Matlab