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Numerical Methods for Partial Differential Equations

The course consists of two parts:

• Element 1 (5 credits): Theory. The course provides an overview of numerical methods for solving partial differential equations (PDE). The most common methods are derived in detail for various PDEs and basic numerical analyses are presented.
• Element 2 (2.5 credits): Computer lab work. Implementation of the main numerical methods for PDEs, such as finite element methods (FEM) and finite difference methods (FDM), as well as examples of applications in real problems are treated in mandatory computer sessions. The assignments include both practical and theoretical exercises.

Course Details

• Type: Course, second cycle
• Study pace: Half speed
• Study location: Umeå
• Type of studies: On campus

Eligibility

The course requires 90 ECTS including 22.5 ECTS in Calculus including a course in Multivariable Calculus, a course in Linear Algebra, a course in Programming Methodology, and a basic course in Numerical Methods. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies.

Selection

Guaranteed place

Application and Tuition Fees

• Application fee: SEK 900
• Tuition fee, first instalment: SEK 19,038
• Total fee: SEK 19,038

Course Schedule

• Starts: 3 November 2025
• Ends: 18 January 2026
• Number of credits: 7.5 credits
• Type of studies: On site
• Study pace: 50%
• Teaching hours: Daytime
• Study location: Umeå
• Language: English
• Application code: UMU-58013

About Umeå University

Join a vibrant academic community where high-quality education meets groundbreaking research in science, technology, humanities, and the arts. At Umeå University, you will learn from passionate, expert teachers and benefit from a close connection between research, education, collaboration, and innovation. The university is certified as a Healthy Campus, with many initiatives that promote health and well-being. Umeå University is ranked #1 globally in the main categories of Living, Support, and Overall Satisfaction.