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ME 515 - Computational Methods for Partial Differential Equations in Engineering and Science

Instructor:

Prof. John M. Sullivan, Jr.

HL 109, Ext. – 5199

Office Hours by Appointment,

Recommended Text: D. R. Lynch, “Numerical Partial Differential Equations for Environmental Scientists and Engineers”, Springer, 2005.

Meeting Time and Place:

Grading:

Homework (50%), Mid-Term (25%), and Final (25%)

Both Exams are take-home style.

This course is devoted to the numerical solution of partial differential equations encountered in engineering sciences. Finite difference and finite element methods are introduced and developed in a logical progression of complexity. These numerical strategies are used to solve actual problems in heat flow, diffusion, wave propagation, vibrations, fluid mechanics, hydrology and solid mechanics.

Weekly computer exercises are required to illustrate the concepts discussed in class.

Everyone must do a significant amount of computing. Each student is responsible for their computer skills and system access. I strongly recommend a version of MatLab, (C or FORTRAN can be used, but examples are presented in MatLab code) as your programming language. All electronic exchanges will occur via the MyWPI site or the associated MyWPI site for the course (which should be automatically listed on your MyWPI). I'll provide some source listings for routines to assist your programs, such as matrix solvers.

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