Comparison of stability properties of numerical integration methods for switching surges

This paper presents a comparison of numerical stability of integration methods such as explicit implicit and semi-implicit ones. Experience with digital computation of switching surges shows that both the modified Euler method and the semi-implicit Runge-Kutta (R-K) method require significantly less computer times than other integration methods for nonlinear problems. The non-iterative semi-implicit R-K method is an absolutely stable (A-stable) method whereas the modified Euler method achieves improved stability by iterating its trapezoidal rule corrector. Digital computer results of switching surges calculated by different methods are compared.