Announcements


I'm afraid that I have had to change the date/time for 4 of the lectures for the last half of term due to clashes with meetings I must attend. Please look at the calendar on the MAGIC website for details.
Thank you and sorry for any inconvenience, Tim Phillips

Forum

General


This course is part of the MAGIC core.

Description

This course gives a broad introduction to Numerical Analysis and Scientific Computing. It is aimed to all PhD students in Mathematics.

Semester

Autumn 2016 (Monday, October 3 to Friday, December 9)

Timetable

  • Thu 11:05 - 11:55
  • Fri 12:05 - 12:55

Prerequisites

Standard undergraduate courses in real analysis and differential equations (ordinary and partial).

Syllabus

1. Introduction and general overview.
2. Approximation Theory, Polynomial Interpolation and Numerical quadrature.
3. Methods for solving systems of linear and nonlinear equations.
4. The Fast Fourier transform.
5. Numerical methods for ODEs. Taylor series methods. Runge-Kutta methods. Multi-step methods. Boundary value problems: shooting methods, finite difference methods, collocation. Methods for conservative and stiff problems.
6. Numerical methods for PDEs. Finite difference methods for elliptic equations. Parabolic equations: explicit, implicit and the Crank-Nicolson methods. The Galerkin, finite element and spectral methods.

Lecturers


Tim Phillips (main contact)
Email PhillipsTN@cardiff.ac.uk
Phone (029) 208 74194
Interests Non-Newtonian fluid mechanics, computational fluid dynamics, numerical analysis
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Photo of Tim Phillips
Agis Athanassoulis
Email agis.athanassoulis@le.ac.uk
Phone 07472475794
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Andrea Cangiani
Email Andrea.Cangiani@le.ac.uk
Phone (0116) 252 3889
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Students


Photo of Saeed Alamry
Saeed Alamry
(Leicester)
Photo of Hassan Alkhayuon
Hassan Alkhayuon
(Exeter)
Photo of Kevin Bolton
Kevin Bolton
(Exeter)
Photo of Matthew Charles
Matthew Charles
(East Anglia)
Photo of Adam Crowder
Adam Crowder
(Manchester)
Photo of Alex Diaz de la O
Alex Diaz de la O
(Liverpool)
Photo of Dario Domingo
Dario Domingo
(Leeds)
Photo of Steven Elsworth
Steven Elsworth
(Manchester)
Photo of Massimiliano Fasi
Massimiliano Fasi
(Manchester)
Photo of Jordan Gill
Jordan Gill
(Southampton)
Photo of Gareth Hawkes
Gareth Hawkes
(Exeter)
Photo of Alex Hiles
Alex Hiles
(Manchester)
Photo of Petar Hristov
Petar Hristov
(Liverpool)
Photo of Mousa Huntul
Mousa Huntul
(Leeds)
Photo of Ben Jones
Ben Jones
(Cardiff)
Photo of Thomas Kappas
Thomas Kappas
(Leicester)
Photo of Blaine Keetch
Blaine Keetch
(Nottingham)
Photo of Jennifer Lau
Jennifer Lau
(Manchester)
Photo of Amy Mallinson
Amy Mallinson
(Manchester)
Photo of Puneet Matharu
Puneet Matharu
(Manchester)
Photo of Mae Mesgarnezhad
Mae Mesgarnezhad
(Newcastle)
Photo of Chinedu Nwaigwe
Chinedu Nwaigwe
(*External)
Photo of Antonios Parasyris
Antonios Parasyris
(Loughborough)
Photo of Hayley Randall
Hayley Randall
(Cardiff)
Photo of Penpark Sirimark
Penpark Sirimark
(Reading)
Photo of Sittichoke som-am
Sittichoke som-am
(Leicester)
Photo of Thomas Stratton
Thomas Stratton
(Sheffield)
Photo of Luke Tait
Luke Tait
(Exeter)
Photo of Evan Turnill
Evan Turnill
(Southampton)
Photo of James Van Yperen
James Van Yperen
(Sussex)
Photo of Rawin Youngnoi
Rawin Youngnoi
(Birmingham)
Photo of Johnny Zhong
Johnny Zhong
(Loughborough)


Bibliography


An Introduction to Numerical AnalysisE Suli and D Mayers
Theory and Applications of Numerical AnalysisG M Phillips and P J Taylor
Numerical Mathematics and ComputingCheney and Kincaid
Numerical Linear AlgebraTrefethen and Bau


Note:

Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)

Assessment



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

Numerical Analysis

Files:Exam paper
Released: Monday 9 January 2017 (44.6 days ago)
Deadline: Sunday 22 January 2017 (30.6 days ago)


Recorded Lectures


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