470-8541/01 – Application of Integral Equations (AIR)

Gurantor departmentDepartment of Applied MathematicsCredits5
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation2013/2014
Intended for the facultiesHGFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The main goal of the course is to introduce integral equations to students. Students should be able to use integral equations for solution of some special engineering problems.

Teaching methods

Lectures
Tutorials

Summary

Compulsory literature:

E. Zeidler: Applied Functional Analysis, Springer, 1995 S. Rjasanow, O. Steinbach: The Fast Solution of Boundary Integral Equations, Springer, 2007

Recommended literature:

O. Steinbach: Numerical Approximation Methods for Elliptic Boundary Value Problems, Springer,2008

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Classification and examples of integral equations. Second order ordinary differential equations and integral equations. Banach fixed point theorem. Integral equations of the second kind. Fredholm's theorems. Boundary values problems in 2D and 3D. Green's formulas. The representation formula. Potentials and their properties. Introduction to BEM (indirect and direct method).

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30  10
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2012/2013 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner