Stability and Error Propagation of Runge-Kutta Methods

2 Stability and Error Propagation of Runge-Kutta Methods 

Using methods parallel to those of the previous section, the recunence equations and the corresponding roots for the Runge-Kutta methods can be derived [9]. For the differential equation (5.170), these are  

The last term in the right-hand side of Eqs. (5.219) and (5.220) is specific to the fifth-order Runge-Kutta, which appears in Table 5.2 and varies for different fifth-order formulas. The 

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