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COURSE SYLLABUS

Numerics and partial differential equations 7.5 Credits

Numerik och partiella differentialekvationer
Second cycle, C7004M
Version
Course syllabus valid: Autumn 2014 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.


Education level
Second cycle
Grade scale
G U 3 4 5
Subject
Scientific Computing
Subject group (SCB)
Mathematics

Entry requirements


More information about English language requirements


Selection

Selection C



Course Aim
After the  course the student should:

1. Knowledge and understanding
  • Understand how different  sources of errors affect the accuracy in computations.
  • Understand basic techniques, such as linearization and discretization, for numeric computing.

2. Skills and abilities
  • Be able use numerical methods for solving advanced computational problems, such as  e.g. partial differential equations.
  • Be able to implement different methods on a computer and to use existing software, e.g., matlab.

3. Assessment  and attitudes
  • Be able to judge different methods regarding strengths, weaknesses and usability.
  • Be able to judge the reliability of computed results.
  • Be oriented about current research in the areas.

Contents
Discretisation of differential equations. Numeric methods for  non-linear equations, linear systems of equations, liner least squares, eigenvalue problems, interpolation and approximation, differentiation and integration, optimisation, and ordinary and partial differential equations.

Realization
Lessons and supervision in connection to assignments and project.
Most part of the studies are performed, outside the scheduled lectures, by working with different assignments were different algorithms are implemented and analysed.
The students will here be trained in understanding and implementing different algorithms and to judge them. The students are also trained in structuring problems and to use written communication in order to discuss mathematical algorithms.
Groups are also working with small projects (which they choose themselves). The projects are presented orally to other students in the course. The students are trained to define and find boundaries for the problem. They are trained in searching for information, to interpret, analyse, and structure   this information, and to give presentations to non specialists.
By listening to other presentations they are also orientated about a broad spectrum of different problems.

Examination
Computer assignments, oral presentation of project, and a written exam.

Examiner
Inge Söderkvist

Literature. Valid from Autumn 2014 Sp 1 (May change until 10 weeks before course start)
Fundamentals of Scientific Computing, Bertil Gustafsson, 2011
Förlag: Springer

Course offered by
Department of Engineering Sciences and Mathematics

Items/credits
NumberTypeCreditsGrade
0001Written Exam2.5G U 3 4 5
0002Computer Assignments3.0U G#
0003Projects2.0U G#

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
by Dept. TVM Mats Näsström 14 Mar 2012

Last revised
by Mats Näsström 14 Feb 2014