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General


Description

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

Semester

Spring 2019 (Monday, January 21 to Friday, March 29)

Hours

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

Timetable

  • Tue 12:05 - 12:55
  • Fri 13:05 - 13:55

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


Emmanuil (Manolis) Georgoulis
Email Emmanuil.Georgoulis@le.ac.uk
Phone (0116) 252 3603


Bibliography


No bibliography has been specified for this course.

Assessment



Examination at the end of the module

No assignments have been set for this course.

Files


Files marked L are intended to be displayed on the main screen during lectures.

Week(s)File
Lecture_1.pdf
Lecture_2.pdf
Lecture_3.pdf
Lecture_4.pdf
Lecture_5.pdf
Lecture_6.pdf


Recorded Lectures


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