MAD 5745: Spectral Methods for PDEs

Time and Place: MWF 200 Lov 9:05-9:55

Instructor: David A. Kopriva
Contact Info: 112 Lov; 645-0185 (office); 644-2202 (front desk, math)
email: 
kopriva@math.fsu.edu; webpage: www.math.fsu.edu/~kopriva

Office Hours: MWF 11:00-12:00, also by appointment.Email, call or just come by otherwise.

Eligibility: Numerical methods for PDEs or equivalent + Programming ability with a compiled language suitable for scientific computation.

Textbooks: 

D.A. Kopriva, Implementing Spectral Methods: Algorithms for Scientists and Engineers, Springer, 2009. (Online version available at  http://www.springer.com/mathematics/dynamical+systems/book/978-90-481-2260-8). Required. For errata, go to here.

C.Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang, “Spectral Methods: Fundamentals in Single Domains”, Springer 2007, and “Spectral Methods:Evolution to Complex Geometries and Applications to Fluid Dynamics” (Recommended)

Course Content:

I. Fourier Approximation and Spectral Methods
II. Polynomial Approximation and Spectral Methods
III. Spectral Element Methods

Homework: Graded homework will be given periodically and will often require computer programming. There are typically 6-8 (time intensive) homework problems so each is rather important. (Translation: Do not skip an assignment.) The format for computer homework can be found in the section How to Write Up Computer Problem Homework.

Attendance: I strongly advise you to attend class regularly. A student absent from class bears the full responsibility for all subject matter and procedural information discussed in class.

Grading: There will be periodic, graded homework projects, plus a final presentation, which will form the basis for the final grade. There will be no exams, final or quizzes. Both analytical and computational problems will be assigned.

Honor Code: A copy of the University Academic Honor Code can be found in the current Student Handbook. You are bound by this in all of your academic work. It is based on the premise that each student has the responsibility 1) to uphold the highest standards of academic integrity in the student's own work, 2) to refuse to tolerate violations of academic integrity in the University community, and 3) to foster a high sense of integrity and social responsibility on the part of the University community. You have successfully completed many mathematics courses and know that on a ``test'' you may not give or receive any help from a person or written material except as specifically designed acceptable. Out of class you are encouraged to work together on assignments but plagiarizing of the work of others or study manuals is academically dishonest.

ADA Statement: Students with disabilities needing academic accommodations should: 1) register with and provide documentation to the Student Disability Resource Center (SDRC); 2) bring a letter to the instructor from SDRC indicating you need academic accommodations. This should be done within the first week of class. This and other class materials are available in alternative format upon request.

ALL SYLLABI ARE REQUIRED TO INCLUDE THE FOLLOWING STATEMENTS:

University Attendance Policy:
Excused absences include documented illness, deaths in the family and other documented crises, call to active military duty or jury duty, religious holy days, and official University activities. These absences will be accommodated in a way that does not arbitrarily penalize students who have a valid excuse. Consideration will also be given to students whose dependent children experience serious illness.

Academic Honor Policy:
The Florida State University Academic Honor Policy outlines the University’s expectations for the integrity of students’ academic work, the procedures for resolving alleged violations of those expectations, and the rights and responsibilities of students and faculty members throughout the process. Students are responsible for reading the Academic Honor Policy and for living up to their pledge to “. . . be honest and truthful and . . . [to] strive for personal and institutional integrity at Florida State University.” (Florida State University Academic Honor Policy, found at 
http://fda.fsu.edu/Academics/Academic-Honor-Policy.)

Americans With Disabilities Act:
Students with disabilities needing academic accommodation should:
(1) register with and provide documentation to the Student Disability Resource Center; and
(2) bring a letter to the instructor indicating the need for accommodation and what type. This should be done during the first week of class.

This syllabus and other class materials are available in alternative format upon request.

For more information about services available to FSU students with disabilities, contact the:

Student Disability Resource Center
874 Traditions Way
108 Student Services Building
Florida State University
Tallahassee, FL 32306-4167 
(850) 644-9566 (voice)
(850) 644-8504 (TDD)
sdrc@admin.fsu.edu
http://www.disabilitycenter.fsu.edu/

RECOMMENDED LANGUAGE FOR SYLLABI:

Free Tutoring from FSU

On-campus tutoring and writing assistance is available for many courses at Florida State University. For more information, visit the Academic Center for Excellence (ACE) Tutoring Services’ comprehensive list of on-campus tutoring options - see http://ace.fsu.edu/tutoring or contact tutor@fsu.edu. High-quality tutoring is available by appointment and on a walk-in basis. These services are offered by tutors trained to encourage the highest level of individual academic success while upholding personal academic integrity.  

Syllabus Change Policy

"Except for changes that substantially affect implementation of the evaluation (grading) statement, this syllabus is a guide for the course and is subject to change with advance notice.”

© David Kopriva 2013-2016