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partial-differential-equations

Why numerical methods, and what can go wrong

taught

Replace a PDE's derivatives with finite-difference quotients and distinguish ordinary truncation error from numerical instability.

Taught in

Why numerical methods, and what can go wrong
Partial Differential Equations

Requires

greens-function-existence-closed-form required

Required by

Finite differences for Laplace's equation: the five-point stencil required
Finite differences for the heat equation: the explicit scheme required
Finite differences for the wave equation required

Local knowledge map

Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.