Course ID: | CSCI 8150. 4 hours. |
Course Title: | Advanced Numerical Methods and Scientific Computing |
Course Description: | Advanced numerical methods for solving problems in science and
engineering. Computationally-oriented course guiding students by
modeling, choosing appropriate numerical methods, implementing
the methods and analyzing the numerical results by visualization
tools. Topics include computer architectures, interconnection
networks, basic concepts in parallel computing, parallel
algorithms, matrix multiplications, solving systems of equations,
parallel direct and iterative methods, programming on different
parallel architectures, and applications. |
Oasis Title: | Adv Numerical Methods Sci Comp |
Prerequisite: | CSCI 4140/6140 or CSCI 4150/6150 |
Semester Course Offered: | Not offered on a regular basis. |
Grading System: | A-F (Traditional) |
|
Course Objectives: | This is a computationally oriented course for solving scientific
problems that arise in science and engineering. Students will
learn different numerical techniques for solving differential
equations. They will learn how to design and implement efficient
sequential and parallel algorithms for solving important problems
in their field of study. In addition, students will learn how to
use visualization tools to study and evaluate the numerical
results. |
Topical Outline: | This course is computationally oriented. Topics to be covered
are:
1. Numerical methods for solving ordinary and partial
differential equations: finite difference, iterative, finite
element, pseudo spectral, method of lines and multigrid methods;
2. Introduction to high performance computing and parallel
algorithms;
3. Grid computing;
4. Visualization tools. |