Linear and Nonlinear Waves (MAE747): Διαφορά μεταξύ των αναθεωρήσεων
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Χωρίς σύνοψη επεξεργασίας |
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* [[Γραμμικά και Μη Γραμμικά Κύματα (ΜΑΕ747)|Ελληνική Έκδοση]] | * [[Γραμμικά και Μη Γραμμικά Κύματα (ΜΑΕ747)|Ελληνική Έκδοση]] | ||
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=== General === | === General === |
Αναθεώρηση της 09:43, 26 Νοεμβρίου 2022
- Ελληνική Έκδοση
- Undergraduate Courses Outlines
- Outline Modification (available only for faculty members)
General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
MAE747 |
Semester |
7 |
Course Title |
Linear and Nonlinear Waves |
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 |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
The study of nonlinear systems has quietly and steadily revolutionized the realm of science over recent years. It is known that for nonlinear systems new structures emerge that have their features and peculiar ways of interacting. Examples of such structures abound in nature and include, amongst others: vortices (like tornadoes), solitons (bits of information used in optical fiber communications, water waves, tsunamis, etc), and chemical reactions. This course is intended as an introduction to the theory and of Nonlinear Waves and their applications. By the end of the course students will be able to:
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General Competences |
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Syllabus
The linear wave theory, Burgers' equation, the Korteweg-de Vries (KdV) equation, travelling waves and the scattering problem for the KdV equation, the inverse scattering transform and solitons, the nonlinear Schrödinger equation, applications to water waves and optics.
Teaching and Learning Methods - Evaluation
Delivery |
Face to face | ||||||||||
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Use of Information and Communications Technology | Yes | ||||||||||
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:
- Solitons: an Introduction, P. G. Drazin and R. S. Johnson, Cambridge University Press, 1989.
- Γ. Δ. Ακρίβης και Ν .Δ. Αλικάκος, Μερικές Διαφορικές Εξισώσεις, Σύγχρονη Εκδοτική, 2012.
- Εφαρμοσμένα Μαθηματικά, D. J. Logan, Πανεπιστημιακές Εκδόσεις Κρήτης, 2010.