NM00BD44 Scientific computing (5 cr)

Cooperation network course

Network: Education network on Inverse Problems

This course is offered through the Network for Inverse Problems. These studies are available for the following degree students:

  • Bachelor's Degree Programme in Mathematics
  • Bachelor's Degree Programme in Mathematics (Subject Teacher)
  • Master’s Degree Programme in Mathematics
  • Master's degree Programme in Mathematics (Subject Teacher)
  • Doctoral Degree Programme in Mathematics and Statistics

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Network: Cross-institutional studies in advanced courses in mathematics and statistics

This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:

  • Bachelor's Degree Programme in Mathematics
  • Master's Degree Programme in Mathematics
  • Bachelor's Degree Programme in Mathematics (Subject Teacher)
  • Master's Degree Programme in Mathematics (Subject Teacher)
  • Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
  • Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
  • Doctoral Programme in Mathematics and Statistics
  • Doctoral Programme in Mathematics and Science (Specialication in Mathematics)

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Description

The core of the course is numerical methods for partial differential equations. ODEs, and then Elliptic, Parabolic and hyperbolic PDEs.

Learning outcomes

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Description of prerequisites

The course requires the common linear algebra background. Matrices, linear systems, eigenvalues etc. There is also a need for interpolation theory depending on how much finite element is involved. However, beyond linear algebra, the rest of the course is self contained.