Home
Student Pages
Postgraduate course

Numerical Solution of Differential Equations

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeMAT260
  • Number of semesters1
  • LanguageEnglish
  • Resources

Teaching semester

Spring

Objectives and Content

Objectives:

The course deals with the numerical solution of differential equations and systems of non-linear equations.

Content:

Multistep methods as well as Runge-Kutta method for timedependent problem will be examined. Covergence, order and stability properties will be analysed. For boundary value problems we will have a look at finite difference, finite element and spectral methods.

For solving system of non-linear equations we will study fixpoint iteration and Newton's method, and discusse their convergence properties.

Learning Outcomes

On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The student

  • has knowledge of state-of-the-art numerical methods in the field.
  • Knows the convergence conditions for the different methods.
  • Knows which order the different methods have and what exactly the term order means.
  • Understands the concept of stiff differential equations, A-stability and stability domain for the different numerical schemes.
  • Knows different spatial discretization schemes, such as: finite differences, finite elements and spectral methods.

Skills

The student

  • is able to used the methods in numerical calculations. That is; to be able to implement them on a computer.
  • is able to analyse the order of a numerical method.
  • Understands the possibilities and the limitations of the different methods.

General competence

The student

  • is able to make intelligent choices of method for specific problems
  • converses easily and unforced about topics such as pros and cons in explicit vs implicit methods


Required Previous Knowledge

MAT131 and MAT160

Recommended Previous Knowledge

MAT160 Scientific computing I

Compulsory Assignments and Attendance

Excercises

Forms of Assessment

Due to coronavirus situation the exam spring semester 2020 will be digital oral examination. Exercises might be graded and included in the final grade. Grading scale Pass/Fail instead of A-F

Examination Support Material

Non- programmable calculator, according to model listed in faculty regulations.

Grading Scale

The grading scale used is passed/fail.

Contact

Contact Information

advice@math.uib.no

Exam information

  • Type of assessment: Oral examination

    Exam period
    25.05.2020–27.05.2020
    Withdrawal deadline
    12.05.2020
    Additional information
    Grunna koronavirus situasjonen Vert eksamen våren 2020 gjennomført som digital munnleg eksamen