• Svenska

# SF2520 Applied Numerical Methods 7.5 credits

### For course offering

Autumn 2023 Start 28 Aug 2023 programme students

### Target group

Available for all master program and engineering students from the 3rd study year as long as it can be included in your programme.

### Periods

P1 (3.0 hp), P2 (4.5 hp)

28 Aug 2023
15 Jan 2024

25%

Normal Daytime

English

KTH Campus

### Number of places

Places are not limited

## Application

### For course offering

Autumn 2023 Start 28 Aug 2023 programme students

50282

## Contact

### For course offering

Autumn 2023 Start 28 Aug 2023 programme students

### Contact

Olof Runborg (olofr@kth.se)

### Examiner

No information inserted

### Course coordinator

No information inserted

### Teachers

No information inserted
Headings with content from the Course syllabus SF2520 (Spring 2022–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

The course will give you knowledge about advanced computer methods based on numerical algorithms for solving mathematical models from scientific and engineering applications, in particular about how to formulate, analyze and implement them. More specifically, the course includes:

• numerical treatment of ordinary differential equations,
• finite difference methods and basic finite element methods for, mainly linear, partial differential equations,
• numerical solution of linear systems of equations by direct and iterative methods,

### Intended learning outcomes

For the mathematical models in the course contents (e.g. ordinary and partial differential equations, linear systems of equations) the student shall be able to:

• select suitable numerical algorithms,
• analyze numerical methods with respect to computational cost, accuracy and stability,
• apply and implement numerical algorithms in a suitable programming language,
• classify and characterize the mathematical models.

In addition, the student shall be able to:

• estimate the accuracy of numerical results,
• describe limitations of mathematical models and numerical methods,
• for a given numerical problem, present, discuss and summarize the problem, solution method and results in a clear way,
• work inteams to solve a numerical problem.

## Literature and preparations

### Specific prerequisites

• English B / English 6
• Completed basic course in numerical analysis (SF1544, SF1545or equivalent)
• Completed basic course in differential equations (SF1633, SF1683or equivalent).

### Recommended prerequisites

Completed basic courses in numerical analysis equivalent to SF1544 or similar, mathematical courses corresponding to linear algebra, calculus and differential equations, good handling with MATLAB.

### Equipment

No information inserted

### Literature

Lennart Edsberg: Introduction to computation and modeling for differential equations, Wiley 2008, ISBN 978-0-470-27085-1

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• LABA - Laboratory Work, 4.5 credits, grading scale: A, B, C, D, E, FX, F
• TEN1 - Written Examination, 3.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

### Main field of study

Mathematics, Technology

Second cycle