Numerical Solution of Ordinary Differential Equations (MAE744): Διαφορά μεταξύ των αναθεωρήσεων
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=== Syllabus === | === Syllabus === | ||
# Initial Value Problems | |||
# Explicit Euler and Implicit Euler. | |||
# Consistency, stability, and convergence of Runge-Kutta methods. | |||
# Consistency, stability, and convergence of multistep methods. | |||
# Applications to ODEs systems arising from Physics and Biology. | |||
=== Teaching and Learning Methods - Evaluation === | === Teaching and Learning Methods - Evaluation === | ||
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Αναθεώρηση της 00:03, 29 Σεπτεμβρίου 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, skills development. |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes (in English) |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
Upon successful completion of the course, students will be able to:
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General Competences |
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Syllabus
- Initial Value Problems
- Explicit Euler and Implicit Euler.
- Consistency, stability, and convergence of Runge-Kutta methods.
- Consistency, stability, and convergence of multistep methods.
- Applications to ODEs systems arising from Physics and Biology.
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
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:
- “Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations”, E. Hairer, & C. Lubich, Springer, 2010.
- “Numerical Methods for Ordinary Differential Equations: Initial Value Problems”, D.F. Griffiths, & D. J. Higham, Springer, 2010.