Syllabus Application
ME 415
Computational Analysis and Simulation
Faculty
Faculty of Engineering and Natural Sciences
Semester
Spring 2025-2026
Course
ME 415 -
Computational Analysis and Simulation
Time/Place
Time
Week Day
Place
Date
16:40-17:30
Tue
FENS-L029
Feb 16-May 22, 2026
09:40-11:30
Fri
FASS-2023
Feb 16-May 22, 2026
Level of course
Undergraduate
Course Credits
SU Credit:3, ECTS:6, Basic:3, Engineering:3
Prerequisites
MATH 201 or MATH 202 or MATH 212
Corequisites
ME 415R
Course Type
Lecture
Instructor(s) Information
Serhat Yeşilyurt
- Email: syesilyurt@sabanciuniv.edu
Course Information
Catalog Course Description
Focus of the course is on the state-of-the-art computational modeling techniques used in disciplines such as structural mechanics, fluid mechanics, heat transfer and electromagnetics. Emphasis is on the numerical solution methods of partial differential equations and their use in computational analysis and simulations for engineering design. There will be a number of case studies and examples to enhance the lectures with examples. Topics covered are: basic numerical methods for root-finding, solution of linear system of equations and ordinary-differential equations, finite-difference solution of parabolic, elliptic and hyperbolic partial- differential equations and finite-element solution of elliptic PDEs such as Poisson equation in 1D.
Course Learning Outcomes:
| 1. | Demonstrate understanding and implementation of numerical solution algorithms applied to root finding problems. |
|---|---|
| 2. | Demonstrate understanding and implementation of numerical solution algorithms applied to solving linear systems of equations. |
| 3. | Demonstrate understanding of methods for finding eigenvalues and eigenvectors of matrices. |
| 4. | Demonstrate understanding and implementation of numerical solutions to of initial value problems. |
| 5. | Possess ability to model and analyze engineering problems governed by partial differential equations such as conduction, diffusion, beam and plate bending. |
| 6. | Select appropriate efficient and stable numerical solution method for the engineering problem at hand. |
| 7. | Demonstrate understanding and implementation of finite-difference methods for solution of boundary value problems and partial-differential equations. |
| 8. | Apply numerical methods to obtain approximate solutions to mathematical problems. |
| 9. | Demonstrate understanding of the role of error in numerical solutions |
| 10. | Demonstrate understanding of numerical methods for integration and differentiation |
Course Objective
Sustainable Development Goals (SDGs) Related to This Course:
| Industry, Innovation and Infrastructure |
Course Materials
Resources:
Texbooks
• Numerical Methods Using MATLAB, 4th ed, J.H. Mathews, K.D. Fink, Pearson, 2004.
• Numerical Methods with MATLAB, A. Gilat, V. Subramaniam, Wiley, 2011
References
• Applied Numerical Methods for Engineers Using MATLAB and C, Schilling and Harris, Brooks & Cole, 2001
• Finite Difference Methods for Ordinary and Partial Differential Equations, R.J. LeVeque, SIAM, 2007.
• COMSOL modeling library, Comsol Inc (available online)
• Numerical Methods Using MATLAB, 4th ed, J.H. Mathews, K.D. Fink, Pearson, 2004.
• Numerical Methods with MATLAB, A. Gilat, V. Subramaniam, Wiley, 2011
References
• Applied Numerical Methods for Engineers Using MATLAB and C, Schilling and Harris, Brooks & Cole, 2001
• Finite Difference Methods for Ordinary and Partial Differential Equations, R.J. LeVeque, SIAM, 2007.
• COMSOL modeling library, Comsol Inc (available online)