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Advanced Numerical Simulation and Modelling: EECS 290A, Spring 2010

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This is a second course on the principles and practicalities of numerical simulation and modelling (following the first course EECS 219A, "Numerical Simulation"). Topics are related to current research in electronic circuit and system design, nanodevice modelling, and biosystem analysis/synthesis. Theory and techniques for model reduction (reduced order modelling) and stochastic analysis/simulation are two of the main focusses of the course. Time permitting, building-block models in systems biology will be discussed as well. All programming will be in MATLAB.

Topics covered include: moment matching; Krylov subspace methods; balanced realization methods; Volterra series analysis; distortion and intermodulation; numerical continuation; harmonic balance; shooting; multi-time partial differential equation and envelope methods; numerical solution of stochastic differential equations; Ito and Stratonovich calculus; ))Fokker-Planck(( equations; adjoints of differential equations; cyclostationary noise analysis; Floquet theory; oscillator phase response curve (PRC) macromodels; phase noise and jitter in oscillators/phase locked loops; describing function methods for nonlinear harmonic oscillators; injection locking, Adler's method and synchronization in oscillators.

Course format
  • Grades will be based largely on performance in projects and on class attendance/participation. There may also be a few homeworks and a midterm.
Credits
  • 3 credits.
Class location and times
Prerequisites
  • EECS 219A/equivalent (or permission of instructor).
Textbook and Materials
  • Slides/notes will be made available to the students.
Instructor
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