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What to learn in the start-up example; mathematical analysis
- How to uncover numerical artifacts in the computed solution
- How to analyze the numerical schemes mathematically to understand
why artifacts occur
- How to derive mathematical expressions for various measures of
the error in numerical methods, frequently by using the
sympy software
for symbolic computation
- Introduce concepts such as finite difference operators,
mesh (grid), mesh functions,
stability, truncation error, consistency, and convergence
