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Course Criteria
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3.00 Credits
No course description available.
Prerequisite:
Separate File
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3.00 Credits
No course description available.
Prerequisite:
Separate File
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3.00 Credits
Formulation of the finite element method using variational and weighted residual methods. Element types and interpolation functions. Application to elasticity problems, thermal conduction, and other problems of engineering and physics. Offered: W.
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3.00 Credits
Advanced concepts of the finite element method. Hybrid and boundary element methods. Nonlinear, eigenvalue, and time-dependent problems. Offered: Sp.
Prerequisite:
A A 540 or permission of instructor
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3.00 Credits
No course description available.
Prerequisite:
Separate File
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3.00 Credits
Numerical approximation of the inviscid compressible equations of fluid dynamics. Analysis of numerical accuracy, stability, and efficiency. Use of explicit, implicit, and flux split methods. Discussion of splitting, approximate factorization, discrete point, and finite volume approaches. Applications to the solution of simple hyperbolic systems of equations and the Euler equations. Offered: W.
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3.00 Credits
Topics of current interest for advanced graduate students with adequate preparation in linear and nonlinear system theory. Offered: when adequate enrollment develops prior to close of advance registration.
Prerequisite:
permission of instructor
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4.00 Credits
Linearity, linearization, finite dimensionality, time-varying vs. time-invariant linear systems, interconnection of linear systems, functional/structural descriptions of linear systems, system zeros and invertibility, linear system stability, system norms, state transition, matrix exponentials, control lity and observability, realization theory. Offered: jointly with E E 547/M E 547; A.
Prerequisite:
either A A 447, E E 447 or M E 471
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3.00 Credits
Introduction to MIMO systems, successive single loop design comparison, Lyapunov stability theorem, full state feedback controller design, observer design, LQR problem statement, design, stability analysis, and tracking design. LQG design, separation principle, stability robustness. Offered: jointly with M E 548/E E 548.
Prerequisite:
A A 547/E E 547/M E 547
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3.00 Credits
Fundamentals of state estimation for linear and nonlinear systems. Discrete and continuous systems. Probability and stochastic systems theory. Models with noise. Kalman-Bucy filters, extended Kalman filters, recursive estimation. Numerical issues in filter design and implementation. Offered: jointly with M E 549/E E 549.
Prerequisite:
E E 505 or AMATH 506 or STAT 506; recommended: 548 or A A 548
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