SHPC5001 Advanced Scientific Computation
- 6 points
Availability Location Mode Not available in 2019 UWA (Perth) Face to face
- Efficient algorithms for numerical analysis and optimisation are the basis for high performance computing (HPC) in many scientific fields. This unit provides the mathematics and algorithms needed to implement such efficient algorithms for HPC applications in Physics, Chemistry and the Geosciences, illustrated by examples from these fields. The laboratory component emphasises the implementation of these algorithms from scratch, as well as the use of pre-written programs and packages commonly used in HPC.
Specific topics are selected from (1) linear algebra, eigensystems, singular value decomposition, and sparse methods for dealing with them; (2) single and multidimensional quadrature; (3) function approximation; (4) pseudorandom numbers and monte carlo; (5) Newton-Raphson, conjugate gradient, least squares; (6) fourier transforms, wavelets and filters; (7) modelling data—least squares, maximum likelihood, inverse problems and regularisation, and compressive sensing; and (8) multimensional partial differential equations. Except for laboratory sessions, the unit involves significant self-study with lectures partly used as tutorials or as assessment periods.
- Students are able to (1) be familiar with numerical analysis techniques as described above, their implementation, cost and accuracy and (2) demonstrate mastery of programming of numerical techniques in Fortran or C taking advantage of the above techniques.
- Indicative assessments in this unit are as follows: (1) quizzes; (2) laboratories; and (3) examination. Further information is available in the unit outline.
Supplementary assessment is not available in this unit.
- Unit Coordinator(s)
- Professor Jingbo Wang
- Unit rules
- SHPC4001 Principles of Scientific Computation
or equivalent as approved by the Faculty
- Contact hours
- lectures: 26 hours per semester (2 hours per week from week 1); practical classes/labs: 36 hours per semester (3 hours per week from week 2)
- The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
- All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
- Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.