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Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study

Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study

In this paper, we investigate the performance of the exponential time differencing (ETD) method applied to the rotating shallow water equations.Comparing with explicit time stepping of the same order accuracy in time, the ETD algorithms could reduce the computational time in many cases by allowing the use of large time …