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with <math>\mathbf{k}_{1}\equiv \mathbf{0}</math>, and <math>a_{j,i}, b_{j}, \widehat{b}_j \quad and \quad c_j</math> are the [[Dormand–Prince method|Runge–Kutta coefficients of Dormand and Prince]] and ''p'' + ''q'' > 4. The vector <math>\mathbf{u}_j</math> in the above scheme is computed by a Padé or Krylor–Padé approximation for small or large systems of ODE,
==== Stability and dynamics ====
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