Numerical Solution of Ordinary Differential Equations (MAE744): Διαφορά μεταξύ των αναθεωρήσεων
(Νέα σελίδα με '=== General === {| class="wikitable" |- ! School | School of Science |- ! Academic Unit | Department of Mathematics |- ! Level of Studies | Undergraduate |- ! Course Code | MAE744 |- ! Semester | 7 |- ! Course Title | Numerical Solution of Ordinary Differential Equations |- ! Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 6) |- ! Course Type | Special Background |- ! Prerequisite Courses | - |- ! Language of Instruction and Examinat...') |
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[[Undergraduate Courses Outlines]] - [https://math.uoi.gr Department of Mathematics] | |||
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Αναθεώρηση της 08:12, 2 Ιουλίου 2022
Undergraduate Courses Outlines - Department of Mathematics
General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
MAE744 |
Semester |
7 |
Course Title |
Numerical Solution of Ordinary Differential Equations |
Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 3, Credits: 6) |
Course Type |
Special Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes (in English) |
Course Website (URL) |
http://users.uoi.gr/mxenos
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Learning Outcomes
Learning outcomes |
The course is an introduction to the basic methods for the numerical solution of ordinary differential equations. The objectives of the course are:
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General Competences |
The course aims to enable undergraduate students to develop the ability to analyze and synthesize basic knowledge of Numerical Analysis with the help of computers to numerically solve difficult problems in mathematics and/or physics. This will give to the student the opportunity to work in an international environment. |
Syllabus
Difference Equations, Initial Value Problems, One step methods (Euler - explicit and implicit, Runge Kutta methods), Multiple steps methods (Adams-Bashforth, Adams-Moulton, Predictor-Corrector methods). Convergence, Stability, Compatibility, Stiff ODE systems, Boundary Value Problems, Shooting method, Finite differences, Eigenvalue problems.
Teaching and Learning Methods - Evaluation
Delivery |
In class | ||||||||||
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Use of Information and Communications Technology | Use of computer (Mechanics) lab | ||||||||||
Teaching Methods |
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Student Performance Evaluation |
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Attached Bibliography
- Numerical Methods for Ordinary Differential Equations, 2 Edition, G.D. Akrivis, V.A. Dougalis, 2012 (in Greek).
- Numerical Analysis: Ordinary Differential Equations, M.N. Vrahatis, 2012 (in Greek).