All Students should be aware that the
Department of Mathematical Sciences takes the NJIT Honor Code very seriously
and enforces it strictly. This means that there must not be any forms of
plagiarism, i.e., copying of homework, class projects, or lab assignments, or
any form of cheating in quizzes and exams. Under the Honor Code, students
are obligated to report any such activities to the Instructor.
Math 713: Advanced Scientific Computing: Multi-Dimensional Finite-Difference Schemes and Spectral Methods
Instructor (for specific
course-related information, follow the link below):
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Prerequisites:
Math 712 and
proficiency in a computer programming language (FORTRAN, C, or C++).
Number of Credits: 3
Course Description: Derivation and analysis of finite difference schemes for systems of partial differential equations in two spatial dimensions and time. Issues pertaining to efficient implementation of algorithms and to stability of physical and numerical boundary conditions. Pseudo-spectral and spectral methods to solve partial differential equations. Approximation properties of Fourier and Chebyshev series and techniques based on the Fast Fourier Transform (FFT) and on matrix multiplication to numerically compute partial derivatives. Time-discretization techniques suitable for use with pseudo-spectral and spectral methods. Model systems arising in wave propagation, fluid dynamics, and mathematical biology will be considered.
Departmental Policies:
Attendance: Students must attend all classes. Absences from
class will inhibit your ability to fully participate in class discussions and
problem solving sessions and, therefore, affect your grade. Tardiness to class
is very disruptive to the instructor and students and will not be tolerated.
Makeup Exam Policy: There will be no makeup exams, except in rare
situations where the student has a legitimate reason for missing an exam,
including illness, death in the family, accident, requirement to appear in
court, etc. The student must notify the Math office and the Instructor that
he/she will miss an exam. In all cases, the student must present proof for
missing the exam, e.g., a doctor's note, police report, court notice, etc.,
clearly stating the date AND times.
Cellular phones: All cellular phones and beepers must be switched off
during all class times.