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Syllabus:

Numerical Methods for Partial Differential Equations, 7.5 credits

The course is discontinued

Swedish name: Numeriska metoder för partiella differentialekvationer
This syllabus is valid: 2017-06-26 and until further notice
Course code: 5MA038
Credit points: 7.5
Education level: Second cycle
Main Field of Study and progress level: No main field: Second cycle, in-depth level of the course cannot be classified
Grading scale: Pass with distinction, Pass with merit, Pass, Pass with distinction, Pass, Fail
Responsible department: Department of Mathematics and Mathematical Statistics
Revised by: Faculty Board of Science and Technology, 2017-10-02

Contents

This course treats the basic numerical methods, such as finite differences, and finite elements for solution of partial differential equations together with several relevant applications. The theoretical parts of the course includes, discretization methods in space and time, numerical
Fourier transforms, piecewise linear interpolation and approximation properties, and various error estimates. Computer assignments, using Matlab and other software packages, gives practical application of the theory.

Required Knowledge

Univ: Courses in Multi Variable Calculus, Linear Algebra, introductory programming methodology, introductory numerical methods.
Proficiency in English equivalent to Swedish upper secondary course English A (IELTS (Academic) with a minimum overall score of 5.5 and no individual score below 5.0. TOEFL PBT
(Paper-based Test) with a minimum total score of 530 and a minimum TWE score of 4. TOEFL iBT (Internet-based Test) with a minimum total score of 72 and a minimum score of 17 on the Writing Section).
Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.

Literature

Valid from: 2014 week 35

The finite element method : theory, implementation, and practice
Larson Mats G., Bengzon Fredrik
New York : Springer : 2012 : 385 p. :
ISBN: 9783642332869 (hard cover : alk. paper)
Mandatory
Search the University Library catalogue

Annat material (tillhandahålles av inst.)
Matematik och Matematisk statistik :
Mandatory