LS00DE09 Numerical Approximations of Conservation Laws (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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Grading scale:
0-5
Language:
English

Description

Conservation laws. Linear systems. Non-linear systems. Riemann problems. Finite difference method. Finite volume method. Discontinuous Galerkin method.

Learning outcomes

After completing the course, the student knows how to develop, analyze, and apply computational methods applicable to solving systems of conservation laws. We discuss the fundamental properties of conservation laws, and from the wide variety of numerical methods, we focus on finite difference, finite volume, and discontinuous Galerkin methods. Throughout the course, the emphasis will be on understanding both mathematical and computational aspects of the selected numerical methods. The course develops the following generic skills: critical thinking, identification and development of one's own expertise, and interaction and communication.

Additional information

Time: - The course will be held only every second academic year. You can see the course implementations in Study guide, under "Course Units" or "Show past courses". This course is intended for the following student groups: - Undergraduate students in Technical Physics (MSc) - Undergraduate students in Applied Physics (MSc) - Other undergraduate or graduate students in technology, physics and mathematics, or equivalent international students, lifelong learners and Open University students provided that the pre-requisites are met.

Description of prerequisites

Recommended: Finite Element Methods (LS00EN04), Numerical Methods (LS00DB67), Partial Differential Equations (LS00EO63) or equivalent knowledge.

Completion methods

No completion methods