Instructor: Dr. Theodore Tachim Medjo, Office: DM 413B
E-mail: tachimt@fiu.edu
Text: Finite Difference schemes and Partial Differential equations (by John C. Strikwerda)
Class schedule: MW 18:25-19:40 in PC 447
Office Hours: MW 17:00-18:00 (other times by appointments)
Course descriptions: We will study the finite difference methods for approximating partial differential equations, including in particular hyperbolic, parabolic and elliptic differential equations. We will also address some important aspects in techniques for discretized systems, including the general iterative methods, conjugate-gradient methods, multilevel methods, etc for linear systems. The basic material to be covered in this semester is contained in Chapter 1 to 6. Spetial topics, time permitting will also be included.
Chapter 1: Hyperbolic partial differential equations. This chapter introduces a prototype of hyperbolic equation studied this semester and presents the method of charateristics for solving initila-values problem of hyperbolic type (first-order equations). The sections are 1.1, 1.3, 1.4 and 1.5
Chapter 2: Analysis of finite difference schemes
Chapter 3: Order of accuracy of finite difference schemes
Chapter 4: Stability for multistep schemes
Chapter 5: Dissipation and Dispertions
Chapter 6: Parabolic partial differential equations
Grades: Grades will be assigned on the basis of 400 points distributions as follows:
Exam 1
100 points 02/13/2008
Exam 2 100
points
03/26/2008
Homeworks 50
points
Final Exam 150 points (See official final exam schedule)
Final course grades will be assigned as follows:
376-400
A
360-375
A-
340-359 B+
320-339
B
308-319
B-
296-307 C +
280-295
C
268-279
C-
256-267 D+
240-255
D
232-239
D-
Less than 231 F
After the final examination, the cut-offs may be
lowered.
REMINDER: There is
never
a penalty for asking. There is no shame in trying and
not succeeding; however, there is shame in not trying
at all. NO MAKE UP EXAM.
Academic Misconduct
Florida International University is a community dedicated to generating and imparting knowledge through excellent teaching and research, the rigorous and respectful exchange of ideas, and community service. All students should respect the right of others to have an equitable opportunity to learn and honestly demonstrate the quality of their learning. Therefore, all students are expected to adhere to a standard of academic conduct, which demonstrates respect for themselves, their fellow students, and the educational mission of the University. All students are deemed by the University to understand that if they are found responsible for academic misconduct, they will be subject to the Academic Misconduct procedures and sanctions, as outlined in the Student Handbook.