Numerical Solution of Ordinary Differential Equations (AA5): Διαφορά μεταξύ των αναθεωρήσεων
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! Learning outcomes | ! Learning outcomes | ||
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Numerical methods for initial value problems for ordinary differential equations are studied in this course; an introduction to numerical methods for the two-point boundary value problem is also given. Learning Objectives: Understanding the basic facts for initial value problems and the two-point boundary value problem. Understanding the fundamental qualitative characteristics of numerical methods for initial value problems, like consistency, order of accuracy, stability and convergence. It is expected that after taking the course the student will have: | |||
* Understand the basic facts for initial value problems as well as for the two-point boundary value problem. | |||
* Know the basic numerical methods for initial value problems and are familiar with their advantages and drawbacks. | |||
* Understand the role of consistency, order of accuracy and stability of numerical methods for initial value problems. | |||
* Know the basic numerical methods for initial value problems. | |||
* Know the basic properties of finite difference and finite element methods for the two-point boundary value problem. | |||
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! General Competences | ! General Competences | ||
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* Production of free, creative and inductive thinking. | |||
* Consolidation, deepening and application of mathematical knowledge. | |||
* Familiarity with numerical methods for initial as well as for boundary value problems. | |||
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Αναθεώρηση της 10:36, 10 Νοεμβρίου 2022
Graduate Courses Outlines - Department of Mathematics
General
School | School of Science |
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Academic Unit | Department of Mathematics |
Level of Studies | Graduate |
Course Code | AA5 |
Semester | 1 |
Course Title | Numerical Solution of Ordinary Differential Equations |
Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
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) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
Numerical methods for initial value problems for ordinary differential equations are studied in this course; an introduction to numerical methods for the two-point boundary value problem is also given. Learning Objectives: Understanding the basic facts for initial value problems and the two-point boundary value problem. Understanding the fundamental qualitative characteristics of numerical methods for initial value problems, like consistency, order of accuracy, stability and convergence. It is expected that after taking the course the student will have:
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General Competences |
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Syllabus
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