Credit:
6
Number:
0112/Բ44
7th term
Contact hours - 4 hours/week
Lectures – 2 hour/week, Practical work – 2 hour/week, Individual work- 8 hours/week
Եզրափակիչ գնահատումով դասընթաց
Description
· introduce variational methods for solving differential equations.
. apply these methods for solving operator equations.
. apply these methods for solving operator equations.
Purpose of the Course
· introduce variational methods for solving differential equations.
. apply these methods for solving operator equations.
. apply these methods for solving operator equations.
Educational Outcomes
a. Professional knowledge and understanding
· present Ritz and Galyorkin methods for solving differential equations.
b. Practical professional skills
· apply variational methods in theoretical and production problems,
· apply the methods of the theory of monotonic operators,
. build mathematical models for problems arising in various fields.
· present Ritz and Galyorkin methods for solving differential equations.
b. Practical professional skills
· apply variational methods in theoretical and production problems,
· apply the methods of the theory of monotonic operators,
. build mathematical models for problems arising in various fields.
Teaching and Learning Styles and Methods
lectures,
practice work,
individual work.
practice work,
individual work.
Evaluation Methods and Criteria
The course is valued at a maximum of 20 points.
· Midterm exams and reasearch work a total value 8 points (40%)
· Tests - maximum 3 points (15%)
· Participation - 1 point (5%)
. Final oral exam maximum 8 points (40%)
· Midterm exams and reasearch work a total value 8 points (40%)
· Tests - maximum 3 points (15%)
· Participation - 1 point (5%)
. Final oral exam maximum 8 points (40%)
Main sections of the course
Functional spaces, Symmetric and positive definite operators, Construction of functional minimum and minimizing sequence.
Basic Bibliography
- В.П.Михайлож-дифференциальные уравнения в частных производных, 1979.
- С.Г.Михлин- линейные уравнения в частных производных, 1977.
- Дубинский-Квазилинейные элиптические и параболические уравнения любого порядка.
- Michiaki Onodera . Variational Methods in Differential Equations. Published in: A Mathematical Approach to Research Problems of Science and Technology Publisher: Springer Japan, 2014.
