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DRPS : Course Catalogue : School of Informatics : EPCC on-campus

Postgraduate Course: Numerical Algorithms for High Performance Computing (EPCC11006)

Course Outline
SchoolSchool of Informatics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
Summary The development of High Performance Computing (HPC) systems has been largely driven by the requirements of Computational Scientists running large-scale numerical simulations such as global weather forecasting or studying new materials at the atomic scale. This course covers some of the basic numerical algorithms and computational patterns used in HPC and how they are implemented and used in practice, including the use of standard packages and libraries. Where appropriate, reference will be made to parallel implementations.

All these algorithms operate on real-valued variables, not integers, so it is important to understand the issues around storing and working with floating-point numbers, including the errors that this can introduce. This is an applied course and running the algorithms in practical situations is a key component.
Course description The course will cover:
- Computational science as the third methodology
- Basic numerics, floating-point representation, errors and exceptions
- Simple ordinary differential equations
- N-body / particle methods
- Dense linear algebra, algorithms and libraries
- Partial differential equations and boundary value problems
- Sparse linear algebra
- Initial value problems and implicit methods
- Spectral methods - Fast Fourier Transforms (FFTs) and applications
- Monte Carlo methods
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Other requirements None
Information for Visiting Students
Pre-requisitesStudents are required to be familiar with C, C++ or Fortran for practical exercises. Basic mathematical knowledge is assumed but only at final-year school level.
Course Delivery Information
Academic year 2024/25, Available to all students (SV1) Quota:  52
Course Start Semester 1
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 20, Supervised Practical/Workshop/Studio Hours 20, Feedback/Feedforward Hours 1, Formative Assessment Hours 1, Revision Session Hours 1, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 55 )
Assessment (Further Info) Written Exam 75 %, Coursework 25 %, Practical Exam 0 %
Additional Information (Assessment) Written Exam 75%
Coursework 25% (1 Class Test).

Written examination comprised of compulsory questions (equally weighted).

Coursework (class test) is an examination question presented to the students mid-Semester
Feedback Provided via practical classes, formative class test, and following examination.
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S1 (December)Numerical Algorithms for HPC2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. Explain why computer simulation is an essential technique in many areas of science, and understand its advantages and limitations.
  2. Describe how real-valued quantities are represented on a computer and understand the various sources and types of error.
  3. Understand how physical problems are represented in a discrete form suitable for computer simulation.
  4. Discuss the appropriate choice of algorithm for different problems.
  5. Use standard numerical libraries in their own applications.
Reading List
Provided via Learn/Leganto
Additional Information
Graduate Attributes and Skills Solution Exploration, Evaluation and Prioritisation.
Computational Science Techniques.
KeywordsNAHPC,Numerical Algorithms,HPC,EPCC,Algebra,Algorithms,Monte Carlo,Computational Science
Course organiserDr William Lucas
Tel: (0131 6)51 3586
Course secretaryMr James Richards
Tel: 90131 6)51 3578
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