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Scientific Computing Scientific Computing Option PDF Document

Scientific Computing

The scientific computing option is available to any student in an approved Rackham doctoral program at the University of Michigan. This option is based on the notion that scientific computing requires a firm knowledge of the specific discipline being studied, and the use of computers and computing methods is simply a tool, albeit a sophisticated and powerful tool, to develop new methods and obtain solutions to complex problems which arise in the scientific discipline. Accordingly, the scientific computing option is combined with an existing doctoral degree program in the student's "home" department.

The PhD degree name is changed by appending "and Scientific Computing",e.g., "Nuclear Engineering and Radiological Sciences and Scientific Computing." The graduation and examination requirements for students in the scientific computing option are different and the following section summarizes the requirements for NERS students, including sample schedules for students in the fission or fusion options. Although the sample schedules have been put together for the fission and fusion options, students in other options can also elect the scientific computing option.Students who are interested in the scientific computing option are encouraged to contact either Professors Martin, Larsen, or Holloway, or Pam Derry, for more information.

Course Requirements for Scientific Computing Option

The course requirements are divided into three categories - courses in nuclear engineering and radiological sciences, courses in basic numerical analysis, and courses in computer science and applied computation outside the home department (extra-departmental applications).

Division I: Home Department Requirements (24 credits)

Students must satisfy the course requirements for the Ph.D. program in NERS and prospective students should refer to the detailed requirements for the appropriate NERS graduate option.

Division II: Numerical Analysis (9 credits)

Nine credit hours must be elected in basic graduate level numerical analysis, and students should refer to the Scientific Computing Option document, Courses in Scientific Computing, available from Pam Derry in 1919 Cooley. The following courses are representative of what students might take to fulfill this requirement.

Math 571

Numerical Methods for Scientific Computing I

3

Math 572

Numerical Methods for Scientific Computing II

3

Math 671

Analysis of Numerical Methods I

3

Division III: Computer Science and Extra-Departmental Applications (9 credits)

As with Division II courses, nine credit hours must be elected in computer science or computational applications areas outside nuclear engineering and radiological sciences. Some example courses might include:

Aero 523

Numerical Methods in Fluid Dynamics I

3

Aero 623

Numerical Methods in Fluid Dynamics II

3

EECS 587

Parallel Computing

3

Preliminary/Candidacy Examination Requirements

In addition to the standard written NERS written and oral examinations, students who elect the Scientific Computing Option will need to take an additional two hour exam that will cover fundamental numerical analysis and scientific computing methods and techniques, with applications to the student's option, such as fission or fusion..