| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| - | FIZ 625 | 3 + 0 | 0.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. Kadir GÖKŞEN |
| Instructor(s) | |
| Assistants | |
| Goals | Differentiation as numerical, to teach the methods of integration and root finding as practical, to teach the methods of numerical solution of differential equations and numerical solutions of boundary-value and eigenvalue problems |
| Course Content | Various order numerical derivatives and sample computer programs,Numerical integration methods: Trapezoid, Simpson and Bode methods,Roots of polynomials: split-half the range, Newton-Raphson and Secant methods,Computer programs and solutions of sample problems,Methods for the implementation of physical systems: semi-classical quantization of molecular vibrations,Numerical solution of ordinary differential equations: Euler's and the generalized Euler's methods,Adams-Basforth, Adams-Multon methods, Runge-Kutta methods and applications, Numerical solutions of boundary-value problems,Numerical solution of quantum mechanical systems: Numerow method,Numerow method for the solution of the Schrödinger equation,Numerical calculation of the energy levels of some molecules. Examples of numerical solution of eigenvalue problems,Numerical calculation of special functions,Gausian integrals,Examples based on programming for the use of numerical methods. |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Various order numerical derivatives and sample computer programs. | |
| 2. Week | Numerical integration methods: Trapezoid, Simpson and Bode methods. | |
| 3. Week | Roots of polynomials: split-half the range, Newton-Raphson and Secant methods. | |
| 4. Week | Computer programs and solutions of sample problems. | |
| 5. Week | Methods for the implementation of physical systems: semi-classical quantization of molecular vibrations. | |
| 6. Week | Numerical solution of ordinary differential equations: Euler's and the generalized Euler's methods. | |
| 7. Week | Adams-Basforth, Adams-Multon methods, Runge-Kutta methods and applications, Numerical solutions of boundary-value problems. | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Numerical solution of quantum mechanical systems: Numerow method. | |
| 10. Week | Numerow method for the solution of the Schrödinger equation. | |
| 11. Week | Numerical calculation of the energy levels of some molecules. | |
| 12. Week | Examples of numerical solution of eigenvalue problems. | |
| 13. Week | Numerical calculation of special functions. | |
| 14. Week | Gausian integrals. |
| • S. Koonin, Computational Physics: Fortran Version, Westview Press, 1998 • D. W. Heermann, Computer Simulation Methods in Theoretical Physics, 2nd Edition, Springer-Verlag, 1990. |
