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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.

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
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