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Zbl 0868.65040
Shampine, Lawrence F.; Reichelt, Mark W.
The MATLAB ODE suite. (English)
[J] SIAM J. Sci. Comput. 18, No.1, 1-22 (1997). ISSN 1064-8275; ISSN 1095-7197/e

The paper presents mathematical and software developments that are the basis for a suite of programs for the solution of initial value problems $y' = F(t,y)$, with initial conditions $y(t_{0}) = y_{0}$. The solvers for stiff problems allow the more general form $M(t)y' = f(t,y)$ with a nonsingular and sparse matrix $M(t)$. The programs are developed for MATLAB, which influences the choice of methods and their implementation.
[P.Y.Yalamov (Russe)]

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
65L06 Multistep, Runge-Kutta, and extrapolation methods
34E13 Multiple scale methods
34A34 Nonlinear ODE and systems, general
34-04 Machine computation, programs (ordinary differential equations)
65Y15 Packaged methods

Keywords: software; initial value problems; MATLAB; stiff problems; Gear method; Rosenbrock method; nonstiff system; Runge-Kutta method; Adams method

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Zentralblatt MATH Berlin [Germany]