Part A of this module introduces the learner to methods for finding the roots of non-linear equations.
Part B introduces the learner to numerical means of integrating and differentiating functions and data.
*Curricular information is subject to change
Part A
Introduction to Numerical Methods/Computational Physics
- Significant Figures, precision and accuracy, round off errors.
- The Taylor Series, error propagation, total error.
Roots of non-linear equations. Methods such as:
- Bisection
- False position
- Newton Raphson
- Secant method
- Brent’s methods
Multiple roots
- Mullers method
- Bairstow’s method
Interpolation and approximation
- cubic, bicubic. spline
Part B
Differentiation and integration
- Integration
- Newton Cotes methods: Trapezoidal, Simpsons, Romberg
- Adaptive quadrature, Gauss quadrature
Differentiation:
- Finite difference
- Error on the derivative and Richardson extrapolation
- Unequally spaced data
- Partial derivatives
The module will be delivered using a mix of lectures and problem solving sessions in a computer laboratory.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Other Assessment(s) | 100 |