The first step you do in numerical modelling is forgetting everything you’ve ever learned about calculus. Well, kind of, anyhow. You replace derivatives with finite-differences,...
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According to the divergence theorem, the area integral of the divergence of a 2D vector $\mathbf{F}=(F_x,F_y)^T$ written as $\iint_V \nabla\cdot \mathbf{F} \,\mathrm{d}x\mathrm{dy}$ equals a line...
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In the geosciences, one must be comfortable changing coordinate systems often. One new coordinate system I learned about is the Natural coordinate system, which essentially...
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