- In mathematics, solve a problem through equations; algebra, calculus, differential equations (DE), Partial DE,
- In numerical analysis; four operations (add, subtract, multiply, division) and Comparison.
- These operations are exactly those that computers can do
- length of one arch of the curve y-sinx; no solution with “a substitution' or “integration by parts”
- numerical analysis can compute the length of this curve by standardised methods that apply to essentially any integrand
- Another difference between a numerical results and analytical answer is that the former is always an approximation
- this can usually be as accurate as needed (level of accuracy)
- Numerical Methods require repetitive arithmetic operations
a computer to carry out
- Also, a human would make so many mistakes
