On the Richardson Extrapolation as Applied to the Sequential Splitting Method
It is known from the literature that applying the same ODE solver by using two different step sizes and combining appropriately the obtained numerical solutions at each time step we can increase the convergence order of the method. Moreover, this technique allows us to estimate the absolute error of the underlying method. In this paper we apply this procedure, widely known as Richardson extrapolation, to the sequential splitting, and investigate the performance of the obtained scheme on several test examples.
KeywordsGlobal Error Convergence Order Splitting Method Order Reduction Operator Splitting
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