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Math 767, Topics in Numerical Analysis
Discontinuous Galerkin Methods
for Solving Partial Differential Equation
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Theory and Implementation
Fall 2012
(8/27/2012-12/8/2012)
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Time and Venue: |
TuTh
11:30AM - 12:45PM, CBC-C117 |
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Instructor: |
Dr. Pengtao Sun |
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Office Hours: |
Tu Th 10:30AM-11:00AM, 1:00PM -
1:30PM or by
appointment @ SEB-2129 |
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Email: |
pengtao.sun@unlv.edu |
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URL: |
http://faculty.unlv.edu/sun |
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Phone: |
(702) 895-5175 |
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Textbook: |
Discontinuous Galerkin
Methods for Solving Elliptic and Parabolic Equations, by Bétrice Rivière, SIAM
(ISBN: 978-0-898716-56-6) |
COURSE DESCRIPTION:
This course is aimed to both practical users and researchers who are interest in
discontinuous Galerkin methods for scientific and engineering
computing. We shall focus on the numerical solutions for the elliptic, parabolic
and wave equations by means of discontinuous Galerkin methods. In addition, we
may also pay attention to finite
element/finite volume algorithm abstraction and software development by virtue
of an automated finite element/finite volume program generation. Some classical
and modern engineering problems such as fluid dynamics and fuel cell dynamics
will be demonstrated as well.
PREREQUISITE:
MATH 466/MAT 665 or the
equivalence are the minimum, MATH 765/766 are the optimal.
TEST AND GRADING POLICY:
Homework are assigned on the biweekly
basis, and the final grade is based on the performance of the routine
homework, as well as the final research paper of which the topic will be
assigned to the student two weeks before the semester ends.
Final course letter grades will be assigned as follows:
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A |
95-100 |
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A- |
90-94 |
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B+ |
86-89 |
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B |
80-85 |
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C+ |
76-79 |
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C |
70-75 |
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D |
60-69 |
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F |
0-59 |
NOTE: Your grade will be based EXCLUSIVELY
on the homework as well as the performance of research paper.
CLASS POLICIES:
HOMEWORK:
The homework problems that you should
work after each lecture are on the assignment list. You are required to do
the homework outside of class for each section after we have
completed the lesson. Homework are collected on a biweekly basis.
ATTENDANCE:
You are required to attend class
regularly. If you miss a class for any reason, you are responsible for all
missed lectures, materials and announcements made in class.
ACADEMIC INTEGRITY:
Academic integrity is the pursuit of scholarly
activity in an open, honest and responsible manner. Academic integrity is a
basic guiding principle for all academic activity at
University of Nevada, Las Vegas, and all members of the University community are expected to act in
accordance with this principle. Consistent with this expectation, the
University's Code of Conduct states that all students should act with personal
integrity, respect other students' dignity, rights and property, and help create
and maintain an environment in which all can succeed through the fruits of their
efforts.
Academic integrity includes a commitment not to engage in or
tolerate acts of falsification, misrepresentation or deception. Such acts of
dishonesty violate the fundamental ethical principles of the University
community and compromise the worth of work completed by others.
Based on the University's
Student
Academic Misconduct Policy, a range of academic sanctions may be
taken against a student who engages in academic dishonesty.
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