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ACM30140

Academic Year 2024/2025

Numerical Methods for PDEs (ACM30140)

Subject:
Applied & Computational Maths
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Dr Graham Benham
Trimester:
Spring
Mode of Delivery:
On Campus
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

This module introduces the methods and underlying theory used in the numerical solution of partial differential equations (PDEs). The finite difference method will be used to find solutions to the heat equation (parabolic PDE), wave equation (hyperbolic PDE) and Laplace equation (elliptic PDE). Stability and convergence issues will be discussed. The module will end with a brief overview of the finite element method and finite volume method for finding approximate solutions to PDEs.

About this Module

Learning Outcomes:

On completion of this module, students should be able to:
- Apply the finite difference method to solve PDEs
- Ensure that PDEs are well-posed
- Ensure that FDE solution is stable
- Apply the finite element method to solve PDEs

Student Effort Hours:
Student Effort Type Hours
Lectures

24

Tutorial

12

Autonomous Student Learning

72

Total

108


Approaches to Teaching and Learning:
Lectures and tutorials.

Requirements, Exclusions and Recommendations
Learning Requirements:

The prerequisites for ACM30140 are:
- a course in PDEs
- knowledge of coding in Python with Jupyter notebook
- knowledge of linux commands, and using the terminal to connect to servers.


Module Requisites and Incompatibles
Not applicable to this module.
 

Assessment Strategy  
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Assignment(Including Essay): 6 Brightspace quizzes Week 1, Week 2, Week 3, Week 4, Week 5, Week 6, Week 7, Week 8, Week 9, Week 10, Week 11, Week 12 Alternative linear conversion grade scale 40% No

30

No
Exam (In-person): Class test Week 6, Week 7 Alternative linear conversion grade scale 40% No

20

No
Exam (In-person): End Of Semester Exam End of trimester
Duration:
2 hr(s)
Alternative linear conversion grade scale 40% No

50

No

Carry forward of passed components
No
 

Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment
• Online automated feedback

How will my Feedback be Delivered?

Not yet recorded.