NCSU

MA788 - Numerical Nonlinear Partial Differential Equations

Instructor

Dr. Alina Chertock
Office Location: SAS 3212
Phone: (919) 515-3200
Fax: (919) 513-7336
Email: chertock@math.ncsu.edu
Web Page: http://www4.ncsu.edu/~acherto
Office Hours: by appointment

Course Meetings

Days: Tuesdays and Thursdays
Time: 8:30AM - 9:45AM
Campus: Main
Location: SAS 1218

Course Resourses

To access your courses and project spaces, use WolfWare: https://wolfware.ncsu.edu/

Course Description

This course is intended as a review of modern numerical techniques for a vide range of time-dependent partial differential equations. Topics include: Finite Difference and Finite Volume Discretizations; Spectral, Particle and Splitting Methods; Hybrid Eulerian-Lagrangian Methods. A significant part of the course will be devoted to a variety of applications including compressible and incompressible fluids, flows in rivers and coastal areas, ocean and atmospheric currents, pollutant propagation models, various biological and traffic flow models, and others. The course will be offered as a balanced blend of analysis and computation and should be very useful for students in applied and computational mathematics, engineering and the sciences. The course is designed for students who are familiar with basic concepts of numerical analysis and scientific programming. The course grade will be determined by a final project and presentation to the class.

Requisites and Restrictions

Numerical analysis, ordinary and partial differential equations, scientific programming. Some programming experience (Matlab, Fortran, C, C++, ...). It is possible to participate in this class without part of the recommended background but this will require you to do a lot of extra reading. Students from all scientific and engineering departments are welcome.

Textbook

No textbook is required. The instructor will use her own notes.

Alternate Reading:

Homework and Projects

Final Projects

Tests and Exams

There will be a final project.

Grading

Final project and inclass presentation - 100%.

This Course uses the Following (Non-Standard) Letter Grading Scale: 86≤A≤100, 71≤B≤85, 61≤C≤70, 55≤D≤60, F≤55 (+ and - will also be used).

Requirements for Auditors (AU): Information about and requirements for auditing a course can be found at http://www.ncsu.edu/grad/handbook/sections/3.16-course-registration.html#H.

Policies on Incomplete Grades: If an extended deadline is not authorized by the Graduate School, an unfinished incomplete grade will automatically change to an F after either (a) the end of the next regular semester in which the student is enrolled (not including summer sessions), or (b) by the end of 12 months if the student is not enrolled, whichever is shorter. Incompletes that change to F will count as an attempted course on transcripts. The burden of fulfilling an incomplete grade is the responsibility of the student. The university policy on incomplete grades is located at http://policies.ncsu.edu/regulation/reg-02-50-03. Additional information relative to incomplete grades for graduate students can be found in the Graduate Administrative Handbook in Section 3.18.F at http://www.ncsu.edu/grad/handbook/table-of-contents.html

Attendance: Students are expected to arrive on time, to contribute to group work and class discussions, and to stay until the class ends. Attendance at all meetings of the class is expected.

Absences: NCSU policy, including what constitutes an 'Excused Absence,' is at http://policies.ncsu.edu/regulation/reg-02-20-03

Notifications

End-of-semester class evaluation

Academic Integrity

Academic Integrity: Students are required to comply with the university policy on academic integrity found in the Code of Student Conduct at http://policies.ncsu.edu/policy/pol-11-35-01

Academic Honesty: See http://policies.ncsu.edu/policy/pol-11-35-01 for a detailed explanation of academic honesty.

Honor Pledge: Your signature on any test or assignment indicates "I have neither given nor received unauthorized aid on this test or assignment."

Accommodations for Disabilities

Reasonable accommodations will be made for students with verifiable disabilities. In order to take advantage of available accommodations, student must register with the Disability Services Office (http://www.ncsu.edu/dso) located at 1900 Student Health Center, Campus Box 7509, 919-515-7653. For more information on NC State's policy on working with students with disabilities, please see the Academic Accommodations for Students with Disabilities Regulation at http://policies.ncsu.edu/regulation/reg-02-20-01

Non-Discrimination Policy

NC State University provides equality of opportunity in education and employment for all students and employees. Accordingly, NC State affirms its commitment to maintain a work environment for all employees and an academic environment for all students that is free from all forms of discrimination. Discrimination based on race, color, religion, creed, sex, national origin, age, disability, veteran status, or sexual orientation is a violation of state and federal law and/or NC State University policy and will not be tolerated. Harassment of any person (either in the form of quid pro quo or creation of a hostile environment) based on race, color, religion, creed, sex, national origin, age, disability, veteran status, or sexual orientation also is a violation of state and federal law and/or NC State University policy and will not be tolerated. Retaliation against any person who complains about discrimination is also prohibited. NC State's policies and regulations covering discrimination, harassment, and retaliation may be accessed at http://policies.ncsu.edu/policy/pol-04-25-05 or http://www.ncsu.edu/equal_op. Any person who feels that he or she has been the subject of prohibited discrimination, harassment, or retaliation should contact the Office for Equal Opportunity (OEO) at 919-515-3148.