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| BILL5220 | Scientific Computing | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of COMPUTER ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Bekir DİZDAROĞLU | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | are how to solve partial diferantial equations especially in image processing. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | do the numerical solution of partial differantial equations | 1,4,8 | 1,3 | | PO - 2 : | do the numerical solution of partial differantial equations | 1,5,8 | 1,3 | | PO - 3 : | use finite difference and finite element methods for solving thePoisson equation. | 1,4,8 | 1,3 | | PO - 4 : | use a variety of algorithms for solving the sparse linear systems. | 1,4,8 | 1,3 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Algorithms: Polynomials and Taylor series expansion. Ordinary differential equation: Numerical solutions, Difference schemes and Nonlinear ordinary differential equation. Partial differential equations and their discretization: Convection-diffusion equation, Stability analysis, Nonlinear equations and applications in image processing. Finite elements: Weak formulation, Linear finite elements, Unstructured finite-element meshes, Adaptive mesh refinement and High-order finite elements. Large sparse linear systems: Sparse matrices and their implementation, Iterative methods for large sparse linear systems and Parallelism.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction | | | Week 2 | Algorithms: Polynomials and Taylor series expansion. | | | Week 3 | Algorithms: Polynomials and Taylor series expansion. | | | Week 4 | Ordinary differential equation: Numerical solutions, Difference schemes and Nonlinear ordinary differential equation. | | | Week 5 | Ordinary differential equation: Numerical solutions, Difference schemes and Nonlinear ordinary differential equation. | | | Week 6 | Partial differential equations and their discretization: Convection-diffusion equation, Stability analysis, Nonlinear equations and applications in image processing. | | | Week 7 | Partial differential equations and their discretization: Convection-diffusion equation, Stability analysis, Nonlinear equations and applications in image processing. | | | Week 8 | Partial differential equations and their discretization: Convection-diffusion equation, Stability analysis, Nonlinear equations and applications in image processing. | | | Week 9 | Mid-term exam | | | Week 10 | Finite elements: Weak formulation, Linear finite elements, Unstructured finite-element meshes, Adaptive mesh refinement and High-order finite elements. | | | Week 11 | Finite elements: Weak formulation, Linear finite elements, Unstructured finite-element meshes, Adaptive mesh refinement and High-order finite elements. | | | Week 12 | Finite elements: Weak formulation, Linear finite elements, Unstructured finite-element meshes, Adaptive mesh refinement and High-order finite elements. | | | Week 13 | Large sparse linear systems: Sparse matrices and their implementation, Iterative methods for large sparse linear systems and Parallelism. | | | Week 14 | Large sparse linear systems: Sparse matrices and their implementation, Iterative methods for large sparse linear systems and Parallelism. | | | Week 15 | Large sparse linear systems: Sparse matrices and their implementation, Iterative methods for large sparse linear systems and Parallelism. | | | Week 16 | Final Exam | | | |
| 1 | Shapira, Y., 2006; Solving PDEs in C , SIAM, 508 papes. | | | |
| 1 | Salleh, S., Zomaya A.Y., Bakar, S. A., Computing for Numerical Methods Using Visual C , WILEY, 448 pages. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 30/11/2023 | 2,0 | 50 | | End-of-term exam | 17 | 18/01/2024 | 2,0 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 5 | 1 | 5 | | Arasınav | 2 | 1 | 2 | | Ödev | 10 | 1 | 10 | | Dönem sonu sınavı için hazırlık | 5 | 1 | 5 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 136 |
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