Spring 2014 Course Syllabus: Math 713
Course Title:
Textbook:
Prerequisites:
Advanced Scientific Computing: Multi-Dimensional FiniteDifference Schemes and Spectral Methods
Finite Difference Schemes and Partial Differential Equations
(2nd Edition) by John Strikwerda (optional); Spectral
methods in Matlab by Llloyd N. Trefethen (required)
Math 712 and proficiency in a computer programming language,
or instructors consent
Website:
Course Outline
Week
Sections
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Topic
Numerical methods for elliptic See course website
PDE: overview and theory
Linear iterative methods (e.g.
SOR)
Conjugate gradient
Preconditioning
Poisson’s equation in complex
geometries
Mayo’s method
Multigrid
Multigrid
Multigrid
Spectral methods: Fourier and
Chebychev spectral methods
Spectral methods cont’d
Spectral methods cont’d
Spectral methods cont’d
Spectral methods cont’d
Spectral methods cont’d
FIRST DAY OF SEMESTER
Common Exam I
LAST DAY TO WITHDRAW
Common Exam II
LAST DAY OF CLASSES
FINAL EXAM PERIOD
Grading Policy
Assignment
IMPORTANT DATES
January 21, 2014
March 31, 2014
May 6, 2014
May 8 - 15, 2014
Assignment Weighting
Homework
70%
Final Exam
30%
.
Important Departmental and University Policies
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Academic Integrity Code is Strictly Enforced
Prerequisites Requirements are Enforced
Attendance is Required in Lower-Division Courses
Exam Policies (No Make Up Exams and More)
Cell Phone and Pager Use Prohibited in Class
Drop Date (March 29, 2009) is Strictly Observed
Complete DMS Course Policies (math.njit.edu/students/undergraduate/policies_math)
Prepared by Prof. Michael Siegel, January 4, 2014