MA788 – Numerical Nonlinear Partial Differential Equations


MA788 – Numerical Nonlinear Partial Differential Equations


Dr. Alina Chertock
Office Location: SAS 4152
Phone: (919) 515-3200
Fax: (919) 515-0657
Web Page:
Office Hours: by appointment

Course Meetings

Days: Mondays and Wednesdays
Time: 3:00PM – 4:15PM
Campus: Main
Location: SAS 1218

Course Resourses

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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.


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

Alternate Reading:

Homework and Projects

  • No homework will be assigned.

Final Projects

Tests and Exams

There will be a final project.


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

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 Additional information relative to incomplete grades for graduate students can be found in the Graduate Administrative Handbook in Section 3.18.F at

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


  • Please check the course webpage regularly, as it will be continuously updated with announcements, any changes in the schedule, homework problems, solutions, review sheets, and other additional course materials.
  • Students will also be notified in class or via email of announcements associated with this course. The email address registered with the NCSU online directory will be used for this purpose. It is the student’s responsibility to maintain a valid email address and check the email sent to it.

End-of-semester class evaluation

  • Schedule: Online class evaluations will be available for students to complete during the last week of class (8:00AM April 22 through 8:00AM April 25)
  • Students will receive an email message directing them to a website where they can login using their Unity ID and complete evaluations.
  • All evaluations are confidential; instructors will never know how any one student responded to any question, and students will never know the ratings for any particular instructors.
  • Evaluation website:
  • Student help desk:
  • More information about ClassEval:

Academic Integrity

Academic Integrity: Students are required to comply with the university policy on academic integrity found in the Code of Student Conduct at

Academic Honesty: See 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 ( 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

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 or 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.