MAGIC100: Numerical Analysis of Partial Differential Equations

Course details

Semester

Spring 2019
Monday, January 21st to Friday, March 29th

Hours

Live lecture hours
20
Recorded lecture hours
0
Total advised study hours
80

Timetable

Tuesdays
12:05 - 12:55
Fridays
13:05 - 13:55

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Description

For course description and justification, please see Syllabus and Comments.

Prerequisites

No prerequisites information is available yet.

Syllabus

Review of relevant topics from PDEs and Analysis. Motivation and showcasing of applications from various branches of mathematics.
Divided differences. Finite difference methods for parabolic and hyperbolic PDEs.
Weak derivatives and function spaces. Variational formulation of PDEs.
Galerkin projection and the construction of finite element methods for elliptic problems.
Error analysis for finite element methods.
Finite element methods for parabolic problems.
Discontinuous Galerkin methods and basic finite volume concepts for hyperbolic PDEs.
Numerical methods for nonlinear PDEs.
A brief excursion to linear and nonlinear solvers.
Applications.

Lecturer

  • EG

    Prof Emmanuil (Manolis) Georgoulis

    University
    University of Leicester

Bibliography

No bibliography has been specified for this course.

Assessment

Description

Examination at the end of the module via a take home examination. The mode of the take-home examination will be the standard 2-week period. The examination will appear under Assignment.

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Lectures

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