Wright State University
Department of Mathematics and
Statistics
MTH 7170/CS 7070 -- Numerical
Methods for Partial Differential Equations
Spring 2023
- Professor: Mohamed Sulman
- Office: room 234 MM
- Email: mohamed.sulman[at]wright.edu
- Lectures: MW 6:10 PM -- 8:00 PM in room
058 Rike Hall.
- Office hours: Monday 3:00 -- 4:00 or by
appointment or by appointment
- Recommended Texts:
- C. A. Hall and T. A. Porsching, Numerical Analysis of
Partial Differential Equations, Prentice Hall, 1990.
- R. J. LeVeque, Finite Difference Methods for Ordinary and
Partial Differential Equations, Steady State and Time
Dependent Problems, SIAM, 2007.
- J.W. Thomas, Introduction to Numerical Methods for Partial
Differential Equations, Springer, 1998.
- C. Johnson, Numerical Solution of Partial Differential
Equations by the Finite Element Method, Dover, 2009.
- Course Description:
- This course provides introduction to the
analysis and numerical methods for solving partial
differential equations. Topics covered include multi-step
methods for initial value problems for ODEs, introduction and
classification of partial differential equations (PDEs), finite difference and finite element
methods for solving PDEs.
- Syllabus:
- Introduction and Finite Difference Approximations (~1.5
week)
- Finite Difference Method for the Heat Equation (~1.5
weeks)
- Initial value problems for ordinary differential equations
(~1.5 weeks)
- Finite Difference Method of Elliptic and Parabolic
Equations (~2.5 weeks)
- Advection Equations and Hyperbolic Systems (~1.5 week)
- Finite element method for Elliptic and Parabolic Equations
(~3.5 weeks)
- Homework Assignments: There will be one homework
assignment roughly about every other week, to be submitted to
the professor at the beginning of the class by the due date.
- Midterm Exam: Monday March 20, 6:10--8:00 in room
04 Rike Hall.
-
-
Final Project:
Students are required to complete a final project for this course. The project final
presentations are on Wednesday April 19, 5:30 - 8:00 PM. The students are required to
write a detailed report on their project. The report is due
Wednesday, May 1, 3:30 PM.
- Grades: Final grade percentage is calculated as
follows:
- Class participation 5%
- Homework Assignments 25%
- Midterm Exam
40%
- Final Project
30%
- Grading Scale: A >= 90%; B
>= 80%; C >= 70%; D >= 60%; F less than 60% of
total points.
-
- Academic
Dishonesty: Academic
dishonesty will not
be tolerated throughout this course; academic
dishonesty of any kind is a violation of Wright State
University's Code of Student Conduct. All acts of
academic dishonesty will
be prosecuted according to the University's policy on
Academic Integrity. The policy can be found here http://www.wright.edu/students/judicial/integrity.html. Each student is
expected to familiarize him/herself with this policy.
- Students
with Disabilities: Students with disabilities
who believe that they may need accommodations for this class
are strongly encouraged to contact the Disability Services
Office (DSO), as soon as possible to ensure that such
accommodations are implemented in a timely fashion. The DSO is
located in room 180 University Hall, Tel: (937) 775-5680,
E-mail: [email protected]. If you are
eligible for course adaptations or accommodations because of a
disability (whether or not you choose to use these
accommodations), or if you have medical information that I
should know about please make an appointment with the professor
immediately.