Course - Numerical Solution of Differential Equations by Difference Methods - TMA4212
TMA4212 - Numerical Solution of Differential Equations by Difference Methods
About
Examination arrangement
Examination arrangement: Aggregate score
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Project | 40/100 | |||
| School exam | 60/100 | 4 hours | C |
Course content
Difference schemes for different types of partial differential equations. Analysis of consistency, order, stability and convergence. Solution of linear systems by iterative methods and preconditioning. Finite element method.
Learning outcome
1. Knowledge. The student understands the basic theory underlying the numerical solution of partial differential equations. The student masters error analysis of difference methods, and understands the concepts consistency, stability and convergence. The student has a basic understanding of the finite element method and iterative solution techniques for systems of equations.
2. Skills. The student is able to choose suitable methods for elliptic, parabolic and hyperbolic partial differential equations. The student is able to set up, implement and analyze discretization methods for selected partial differential equations. The student is able to design numerical experiments serving the purpose to verify if a PDE-solver is implemented correctly. The student is able to choose and apply suitable iterative methods for equation solving.
3. General competence. The student masters written and oral presentation of scientific problems and of the results obtained in the project work. The student is able to apply aquired mathematical knowledge in linear algebra and calculus to achieve the other goals of the course.
Learning methods and activities
Lectures, project, exercises seminars and/or presentations. The exercises require the use of a computer. Some of the exercises will be compulsory.
Compulsory assignments
- Exercises
Further on evaluation
Retake may be organized in the form of oral exam. The retake exam is in August. Students are free to choose Norwegian or English for written assessments.
Recommended previous knowledge
TMA4215 Numerical Mathematics or similar.
Course materials
Will be announced at the start of the course.
Version: 1
Credits:
7.5 SP
Study level: Third-year courses, level III
Term no.: 1
Teaching semester: SPRING 2025
Language of instruction: English
Location: Trondheim
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Aggregate score
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 60/100 C INSPERA
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Room Building Number of candidates - Spring ORD Project 40/100 INSPERA
-
Room Building Number of candidates - Summer UTS School exam 60/100 C INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"