ME510 NUMERICAL METHODS IN ME II
| Course Code: | 5690510 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. CÜNEYT SERT |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of this course, the student will learn how to use basic and advanced numerical methods to solve initial value and/or boundary value problems governed by ODEs and PDEs.
Course Content
Ordinary differential equations. Euler, Runge-Kutta, multi-step, predictor-corrector methods. Boundary value problems. Matrix and shooting methods. Partial differential equations. Finite difference, Crank-Nicholson, Gauss-Seidel methods. (S)
Course Learning Outcomes
By the end of the course the students will be able to
- classify ODEs and PDEs
- tell the difference and relation between consistency, stability and convergence
- select an appropriate finite difference/volume based numerical solution scheme for a given ODE or PDE
- code various implicit/explicit, single step/multi-step ODE solution schemes
- code various finite difference/volume based schemes to solve elliptic, parabolic and hyberbolic PDEs
- perform stability analysis of various ODE and PDE solution schemes
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Acquires the fundamental scientific knowledge required to analyze and solve advanced-level problems in the field of mechanical engineering. | ✔ | |||
| 2 | Gains the competence to utilize advanced engineering mathematics methods in the formulation, analysis, and solution of engineering problems. | ✔ | |||
| 3 | Conducts literature reviews using printed and online sources, analyzes the collected literature, and identifies the current state-of-the-art in the relevant scientific field. | ✔ | |||
| 4 | Demonstrates the ability to prepare and deliver a seminar on a technical subject. | ✔ | |||
| 5 | Develops the ability to conduct independent research on a specific topic and solve advanced engineering problems. | ✔ | |||
| 6 | Contributes to the national and/or international body of knowledge through original research. | ✔ | |||
| 7 | Gains the competence to effectively communicate the process and results of research conducted on a specific subject through scientifically structured written reports and oral presentations. | ✔ | |||
| 8 | Acquires the ability to publish research findings as articles in national and/or international scientific journals and/or present them as papers at conferences. | ✔ | |||
| 9 | Acts in accordance with universal principles of research and publication ethics. | ✔ | |||