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Course Overview

The course SF2521, Numerical Solutions of Differential Equations, is a 7.5-credit advanced course that focuses on modern numerical methods, with an emphasis on linear and nonlinear systems of partial differential equations.

Information per Course Offering

Please note that course offerings are missing for current or upcoming semesters.

Course Syllabus

The course syllabus for SF2521 is available in an accessible format on this page.

Content and Learning Outcomes

Course Contents

The course covers numerical treatment of initial value problems, boundary value problems, and eigenvalue problems for ordinary and partial differential equations. The emphasis on different parts may vary from year to year. Relevant topics include:

• Linear algebra
• Well-posedness
• Convergence
• Stability
• Error estimates
• Finite differences
• Finite elements
• Finite volumes
• Method of lines
• Modern iterative methods
• Problems with shocks
• Computer labs and application-oriented projects

Intended Learning Outcomes

The course aims to provide students with knowledge of problem classes, basic mathematical and numerical concepts and properties, modern numerical methods, and software for solution of engineering and scientific problems formulated as differential equations. After completing the course, students shall be able to:

• Design, implement, and use numerical methods for computer solution of scientific problems involving differential equations
• Follow specialized and application-oriented technical literature in the area
• Describe properties of different classes of differential equations and their impact on solutions and proper numerical methods
• Use commercial software with understanding of fundamental methods, properties, and limitations

Literature and Preparations

Specific Prerequisites

• English B / English 6
• Completed basic course in numerical analysis (SF1544, SF1545 or equivalent)
• Completed basic course in differential equations (SF1633, SF1683 or equivalent)

Literature

Information about course literature can be found in the course memo for the course offering or in the course room.

Examination and Completion

Grading Scale

The grading scale for the course is A, B, C, D, E, FX, F.

Examination

The course examination consists of:

• LABB - Laboratory Task, 3.0 credits, grading scale: P, F
• TEN1 - Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F
• LABA - Laboratory Task, 1.5 credits, grading scale: P, F

Further Information

Offered by

The course is offered by SCI/Mathematics.

Main Field of Study

The main field of study for this course is Mathematics, Technology.

Education Cycle

The course is part of the second cycle of education.

Discontinuation Notice

This course will be discontinued, with the last planned examination scheduled for Spring 2026. Students may request to be examined during the following two academic years.