INF-MAT9390 – Splines for Geometry and PDE's

Course content

Piecewise polynomials on box partitions, local refinable splines.

Learning outcome

After completing the course:

  • you have learned about polynomial splines over locally refined box-partitions
  • you can practice a new technique that can be used for numerical solution of partial differential equations.
  • you have learned about the dimension of spline spaces on box partitions, and the mathematical theory behind.

Admission

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Prerequisites

Recommended previous knowledge

No obligatory prerequisites beyond the minimum requirements for entrance to higher education in Norway. It is recommended to have taken INF-MAT4350 – Numerical linear algebra (discontinued) and INF-MAT5340 – Spline methods (discontinued). Some knowledge of partial differential equations will be assumed. The first part of the course does not require INF-MAT5340 so this course can be taken in parallel.

Teaching

2 hours of lectures each week.

Candidates on the PhD version of this course will be given additional curriculum compared to the master version of the course INF-MAT5390 – Splines for Geometry and PDE's (discontinued).

Examination

An oral exam.

Examination support material

No examination support material is allowed.

Language of examination

You may submit your response in Norwegian, Swedish, Danish or English. If you would prefer to have the exam text in English, you may apply to the course administrators.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

External Course Auditor: Trond Steihaug

Explanations and appeals

Resit an examination

This course offers both postponed and resit of examination. Read more:

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course

Credits
10
Level
PhD
Teaching
Every autumn
Examination
Every autumn
Teaching language
Norwegian (English on request)