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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 $$y' = F(t,y)$$, 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.

##### MSC:
 65L05 Numerical methods for initial value problems 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations 34E13 Multiple scale methods for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems, general theory 34-04 Software, source code, etc. for problems pertaining to ordinary differential equations 65Y15 Packaged methods for numerical algorithms
##### Software:
Matlab; MATLAB ODE suite; ode113; Ode15s; ode23; ode23s; ode45
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