Behind and Beyond the MATLAB ODE Suite ∗

  title={Behind and Beyond the MATLAB ODE Suite ∗},
  author={Ryuichi Ashino and Michihiro Nagase and R{\'e}mi Vaillancourt},
The paper explains the concepts of order and absolute stability of numerical methods for solving systems of first-order ordinary differential equations (ODE) of the form y′ = f(t, y), y(t0) = y0, where f : R× R → R, describes the phenomenon of problem stiffness, and reviews explicit Runge–Kutta methods, and explicit and implicit linear multistep methods. It surveys the five numerical methods contained in the Matlab ODE suite (three for nonstiff problems and two for stiff problems) to solve the… CONTINUE READING
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