Now showing items 1-6 of 6
Spectral Properties of Limit-Periodic Schrodinger Operators
We investigate spectral properties of limit-periodic SchrÃ¶dinger operators in [cursive l] 2 ([Special characters omitted.] ). Our goal is to exhibit as rich a spectral picture as possible. We regard limit-periodic potentials ...
Passivity preserving model reduction via interpolation of spectral zeros: Selection criteria and implementation
This thesis presents spectral zero selection criteria for a rigorous theory on passivity preserving model reduction via interpolation of spectral zeros. For linear time invariant systems in circuit simulation, passivity ...
Enhanced compressed sensing using iterative support detection
I present a new compressive reconstruction algorithm, which aims to simultaneously achieve low measurement requirement and fast reconstruction. This algorithm alternates between detecting partial support information of the ...
Numerical solutions of matrix equations arising in model reduction of large-scale linear -time -invariant systems
This thesis presents and analyzes new algorithms for matrix equations arising from model reduction of linear-time-invariant (LTI) systems. Such systems arise in a variety of areas, especially in circuit simulation. When ...
A C++ class supporting adjoint-state methods
The adjoint-state method is widely used for computing gradients in simulation-driven optimization problems. The adjoint-state evolution equation requires access to the entire history of the system states. There are instances, ...
A comparison of transcription techniques for the optimal control of the International Space Station
The numerical solution of Optimal Control Problems has received much attention over the past few decades. In particular, direct transcription methods have been studied because of their convergence properties for even ...