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Improving the Laplace transform integration method
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DOI：10.1002/qj.2670.png)
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Abstract
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We consider the Laplace transform 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. In addition, we investigate a more accurate treatment of the nonlinear terms. The advantages of the resulting algorithms are demonstrated by means of numerical integrations.
Keywords:
atmospheric modelling
time integration
stability
Laplace transform
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