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Course Content
- Review of Fortran
- Vectors and Matrix Algebra
Vector algebra,
Dot and Cross product of vectors,
Matrix operations,
Determinant of a matrix,
Unit matrix and Inverse matrix
- Solutions of Linear Equations
Inver Matrix Method,
Crammer Method,
Gaussian Elimination Method,
Jacobi Iteration Method
- Interploation and Curve Fitting
Lagrange Interpolation Algorithm,
Least Square Fitting,
Goodness of the fitting
- Derivative and Integration
First and second derivatives of a function,
Rectangles Method,
Trapezoidal Method,
Simpson's Methods,
Multiple Integrals
- Differential Equations
Euler Methods,
Runge-Kutta Methods,
Shooting Method,
Finite Difference Method
- Quantum Mechanics
Normalization,
Expectation values,
Solution of Scrödinger Equation
Particle in a well
- Monte-Carlo Methods (MC)
MC Techniques,
Random Numbers and Generators,
Random Distributions,
Example Applications
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