Math 581: Numerical Methods
Review for Chapters 1 - 2:
Chapter 1: Mathematical preliminaries and error analysis
- Mean value theorem, mean value theorem for integrals,
intermediate value theorem, Taylor's expansion theorem.
- Number systems (decimal and b
Math 581: Numerical Methods
Chapter 5: Numerical Solution of initial-value problems
- Local truncation error versus global error; order of a scheme
- Algorithms, l.t.e., order for: Euler's scheme, backward Euler scheme,
Midpoint scheme, Trapezoidal scheme