It has since developed into a major and central part of mathematics and it now has applications to other parts of mathematics, to modern science, and to technology, including engineering, finance, medicine, and computer science. The advent of computers has made the field more important than ever because it facilitates the computation of numerical solutions to equations which before could be discussed only qualitatively. Researchers at Stony Brook are active in many areas of PDEs. A combined program in PDEs is offered by the Department of Applied Mathematics and Statistics and the Department of Mathematics for the preparation of students for advanced studies in partial differential equations. It also includes advanced courses as listed below.
Courses taken in the first year are part of the departmental qualifying exam syllabus.
Students who have interests related to but not precisely in partial differential equations may want to take some courses in this program, but not to complete it. Numerical simulation of the gravity driven unstable mixing of two fluids. Required course as part of the Ph.D. qualifying examinations syllabus for all students in the Department of Mathematics Ph.D. program. Ebin Assistant Professor Notre Dame Univ. Plohr Assistant Professor Mississippi State Univ.