ME 487 Numerical Methods for Mechanical Engineers
This class develops students' familiarity with numerical methods relevant to mechanical engineering. The class presents fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics include: integration; initial, eigenvalue, and boundary value problems; finite difference and finite volume discretizations; finite element discretizations; optimization; and direct and iterative solution methods. Examples are drawn from robotics, dynamics, structural analysis, and thermal-fluids applications. Assignments require MATLAB® programming, and assume a prior familiarity with approximation (interpolation, least squares and statistical regression) and root-finding.
Instructor
Somashekar