Applied Numerical Methods II
Mathematics
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Applied Numerical Methods II | MAT530 | Elective | Master's degree | 1 | Spring | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Mine Aylin BAYRAK
Associate Prof. Dr. Arzu COŞKUN
Learning Outcomes of the Course Unit
1) Making physical comments boundary value problems for ordinary and partial differential equations .
2) Writing difference schemes for elliptic, parabolic and hyperbolic equations by using finite difference method
4) Applying numerical methods for the solution of partial differential equations.
5) Making to establish optimal error estimates for difference equations which are derived.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Numerical Analysis
Course Contents
This course provides candidates with profound knowledge on obtained a generalization of difference methods on irregular networks so-called generalized difference methods (GDM for short), the theory and application of GDM, such as constructing linear and high order difference schemes for elliptic, parabolic and hyperbolic equations, establish optimal error estimates in Sobolev norms, and apply GDM to underground fluids, electromagnetic fields and other practical problems.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required