Course - Numerical Solution of Differential Equations by Difference Methods - TMA4212
TMA4212 - Numerical Solution of Differential Equations by Difference Methods
About
Examination arrangement
Examination arrangement: Portfolio assessment
Grade: Letters
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
Skriftlig eksamen | 60/100 | 4 timer | ||
Arbeider | 40/100 |
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 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.
Learning methods and activities
Lectures and exercises. The exercises require the use of a computer. Portfolio assessment is the basis for the mark given in the course. This portfolio comprises a written final examination (60%) and a term project or selected exercises (40%). The results for the constituent parts are to be given in %-points, while the mark for the whole portfolio (course mark) is given by the letter grading system. Retake may be organized in the form of oral exam. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students.
Compulsory assignments
- Exersices
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 2014
Language of instruction: English, Norwegian
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- Mathematics
- Technological subjects
- Elena Celledoni
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Portfolio assessment
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Arbeider 40/100
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Room Building Number of candidates - Spring ORD Skriftlig eksamen 60/100 2014-06-03 15:00
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Room Building Number of candidates - Summer KONT Arbeider 40/100
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Room Building Number of candidates - Summer KONT Skriftlig eksamen 60/100 2014-08-08 09:00
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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"