Homework 3 Fang Gong

Homework 3

• Fang Gong

• [e-mail]

Taylor series expansion: A=-G-1C, R=G-1B

• Taylor series expansion: A=-G-1C, R=G-1B

[3] Modify the PRIMA code with single frequency expansion to multiple points expansion. You should use a vector fspan to pass the frequency expansion points. Compare the waveforms of the reduced model between the following two cases:

• [3] Modify the PRIMA code with single frequency expansion to multiple points expansion. You should use a vector fspan to pass the frequency expansion points. Compare the waveforms of the reduced model between the following two cases:

• 1. Single point expansion at s=1e4.

• 2. Four-point expansion at s=1e3, 1e5, 1e7, 1e9.

Matlab Files

• We provide two matlab files:

• prima.m

• PRIMA on single point expansion

• demo2_11.m

• perform single-point MOR, calculate and compare corresponding time and frequency domain response between original matrix and MATLAB reduced matrix. prima function is called.