Tentative Schedule of Lectures ())Continuous-Time(( Topics): EECS 144/244, Fall 2015
September 2015
2015/09/02 (Wed):
- 2:30-4: Modelling continuous-time systems using differential-algebraic equations. What a circuit is. KCL, KVL and BCRs with simple linear examples. Linearity.
- 2:30-4: NO CLASS (academic holiday)
2015/09/09 (Wed):
- 2:30-4: Linearity (contd.). A simple circuit with a nonlinear element (diode). Nonlinear circuits.
- 2:30-4: Nodal and modified nodal analysis with examples. Writing circuit equations in standard DAE form. Jacobian matrices and their importance. Mechanical equation example in standard DAE form.
- SORRY, NO VIDEO (recording error)
- class scribbles (PDF)
2015/09/16 (Wed):
- 2:30-4: Chemical reactions as reaction-rate differential equations. Standard DAE form with inputs and outputs. Glimpse of parsing and equation setup.
- 2:30-4: DC analysis and the ))Newton-Raphson(( method. Solving linear equations (Ax=b) numerically. Sparsity and its importance.
2015/09/23 (Wed):
- 2:30-4: Linear equation solution contd.: Gaussian Elimination and LU factorization. Sparsity during LU factorization.
- 2:30-4: Numerical solution of differential equations (transient simulation). Existence and uniqueness of ODE solutions.
2015/09/30 (Wed):
- 2:30-4: Transient: Lipschitz condition. Discretization via local polynomial approximations. FE, BE and TRAPezoidal methods. Stability of FE, BE and TRAP. Stability regions.
October 2015
2015/10/05 (Mon):
- 2:30-4: Eigendecomposition. Stiff systems; the need for stable methods. Linear multi-step (LMS) methods. Use of ODE methods for DAEs. Accuracy and truncation error.
2015/10/07 (Wed):
- 2:30-4: Timestep control; ODE/DAE packages. The periodic steady state problem. Linear DAEs. linearization of nonlinear systems.
2015/10/12 (Mon):
- 2:30-4: Eigenanalysis of linear(ized) systems; AC analysis.