MAGIC100: Numerical Analysis of Partial Differential Equations

Course details

A specialist MAGIC course

Semester

Spring 2020
Monday, January 20th to Friday, March 27th

Hours

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

Timetable

Tuesdays
12:05 - 12:55 (UK)
Fridays
09:05 - 09:55 (UK)

Announcements

IMPORTANT: PLEASE NOTE THAT THERE IS A TYPO IN THE EXAM: Problem 3(a), the function
f(r) = log( log( - r - ) )
is incorrect. It should read
f(r) = log( - log( - r - ) - )
instead. - .. - denotes Euclidean distance.

Description

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

Prerequisites

Familiarity with basic undergraduate numerical analysis and partial differential equations are assumed. Also, basic concepts from real analysis (Inner product space, normed spaces, Banach and Hilbert spaces) are also needed.

Related courses

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

    Professor Emmanuil (Manolis) Georgoulis

    University
    University of Leicester

Bibliography

No bibliography has been specified for this course.

Assessment

The assessment for this course will be released on Monday 20th April 2020 at 00:00 and is due in before Monday 4th May 2020 at 11:00.

The assessment for this course will be via a single take-home paper in May with 2 weeks to complete and submit online. There will be 4 questions and you will need the equivalent of 50

Please note that you are not registered for assessment on this course.

Files

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Lectures

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