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Laplace transform integration and the slow equations

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Multiscale Numerics for the Atmosphere and Ocean

We consider the Laplace transform (LT) filtering integration scheme applied to the shallow water equations, and demonstrate how it can be formulated as a finite difference scheme in the time domain by analytical inversion of the transform.

Both Eulerian and semi-Lagrangian versions of the scheme are analyzed. We show the relationship between the LT scheme and the slow equations. We demonstrate the advantages of the LT scheme by means of numerical integrations.

This talk is part of the Isaac Newton Institute Seminar Series series.

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