Atmospheres and Oceans on Computers pp 13-34 | Cite as
Preliminaries
Chapter
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Abstract
In this chapter, we present a general analysis of partial differential equations (henceforth, PDEs). These are of importance here because the governing equations of the atmosphere and the ocean, including the hierarchy of simpler equations outlined in Chap. 1, belong to this class. We shall see that a PDE has a different character depending on the physics it describes. As we shall show in Chaps. 4– 6, this has to be taken into account when deciding which numerical method should be used to solve the PDE.
Keywords
Partial Differential Equations (PDE) Approximate Finite Difference (FDAs) Well-behaved Function Shallow Water Equations Quadrature Domains
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Reference
- Lighthill MJ (1970) Fourier analysis and generalised functions. Cambridge University Press, first printed 1958Google Scholar
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