ELEC 5508
Advanced Methods for Simulation of Large-Scale Circuits and Systems
Formulation of circuit equations. Sparse matrix techniques. Frequency and time-domain solutions. Relaxation techniques and timing analysis. Noise and distortion analysis. Transmission line effects. Interconnect analysis and crosstalk simulation. Numerical inversion techniques. Asymptotic waveform estimation. Mixed frequency/time domain techniques. Sensitivity analysis.
2026
Topics
- to be covered in this course
- Frequency-Domain (weeks 1-3)
- Modified-Nodal Analysis
- LU decomposition, Sparse techniques
- Stability and Passivity
- Linear Time-Domain (weeks 4-7)
- Solution of Large-Scale Differential Equations
- Multistep methods - Fundamentals, FE, BE and TR Methods
- Numerical stability
- Sensitivity Analysis
- Nonlinear Time-Domain (weeks 8-9)
- Jacobian matrix
- Newton’s iterations
- Model-Order Reduction, AI (weeks 10-12)
- Moment matching
- Padé approximation
- Asymptotic Waveform Evaluation
- Projection Techniques
- QR decomposition
- Krylov subspace