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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2019/2020

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Numerical Partial Differential Equations (MATH11207)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 5 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis course introduces the numerical discretisation of partial differential equations. A number of different partial differential equations will be considered, and methods for yielding approximate numerical solutions will be studied. The course makes significant use of tools from linear algebra, and will include an extended piece of coursework which will apply principles developed in the course to write a numerical solver for a partial differential equations problem.
Course description Syllabus:

- Finite difference discretisation
- The method of lines
- Consistency, stability, and convergence
- Methods for proving numerical stability
- Boundary conditions
- Discretisation matrices
- Linear algebra solvers for matrix systems arising from discretisations
- Implementing numerical solvers for partial differential equations on a computer
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Honours Differential Equations (MATH10066)
Co-requisites
Prohibited Combinations Students MUST NOT also be taking Numerical Partial Differential Equations (MATH10044) AND Numerical Partial Differential Equations with Applications (MATH11191)
Other requirements None
Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Academic year 2019/20, Available to all students (SV1) Quota:  None
Course Start Semester 2
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 22, Seminar/Tutorial Hours 6, Summative Assessment Hours 2, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 68 )
Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 %
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S2 (April/May)MATH11207 Numerical Partial Differential Equations2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. Study solutions to partial differential equations using numerical methods
  2. Discretise partial differential equations via the finite difference method
  3. Understand the principles of discretisation, consistency, stability, and accuracy
  4. Learn techniques for solving matrix systems resulting from differential equations
  5. Implement numerical solvers for partial differential equations on a computer
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsNPDE,Partial Differential Equations
Contacts
Course organiserDr John Pearson
Tel: (0131 6)50 5049
Email: J.Pearson@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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