This thesis presents a set of tools and methodologies that perform fast stochastic characterization and simulation of uncertainties in electromagnetic and circuit systems. Background information on polynomial chaos and fast stochastic numerical techniques is reviewed, and discussion is offered on comparison of different approaches to stochastic simulations. The formulation for Stochastic LIM, a Stochastic Galerkin Method-based time-domain circuit solver, is presented, and some simulation results are shown comparing the new solver to Monte Carlo techniques using a commercial circuit solver. The simulator is then used to simulate several transmission line problems, including single- and multi-conductor, crosstalk, and coupled-line on a printe...
This work described in this thesis develops a computationally efficient approach to performing elect...
This letter presents a novel methodology for the stochastic simulation of interconnects illuminated ...
This paper presents a numerical procedure for the calculation of the polynomial chaos (PC)-expansion...
This thesis presents a set of tools and methodologies that perform fast stochastic characterization ...
The stochastic computation of electromagnetic (EM) problems is a relatively new topic, yet very impo...
This thesis presents methodologies for the efficient assessment of the impact of statistical variabi...
As speed and density of electronic systems continue to increase, uncertainties are becoming signific...
Polynomial chaos (PC)-based techniques recently became popular alternatives for the stochastic analy...
This paper presents an alternative modeling strategy for the stochastic analysis of high-speed inter...
This paper delivers a considerable improvement in the framework of the statistical simulation of hig...
In the process of design and fabrication of electronic products, numerical simulation plays a fundam...
Variations in material properties, boundary conditions, or the geometry can be expected in most elec...
This paper presents a systematic approach for the statistical simulation of nonlinear networks with ...
Abstract—A fast and parallel Stroud-based stochastic collocation method for statistically characteri...
This paper presents an alternative modeling strategy for the stochastic analysis of high-speed inter...
This work described in this thesis develops a computationally efficient approach to performing elect...
This letter presents a novel methodology for the stochastic simulation of interconnects illuminated ...
This paper presents a numerical procedure for the calculation of the polynomial chaos (PC)-expansion...
This thesis presents a set of tools and methodologies that perform fast stochastic characterization ...
The stochastic computation of electromagnetic (EM) problems is a relatively new topic, yet very impo...
This thesis presents methodologies for the efficient assessment of the impact of statistical variabi...
As speed and density of electronic systems continue to increase, uncertainties are becoming signific...
Polynomial chaos (PC)-based techniques recently became popular alternatives for the stochastic analy...
This paper presents an alternative modeling strategy for the stochastic analysis of high-speed inter...
This paper delivers a considerable improvement in the framework of the statistical simulation of hig...
In the process of design and fabrication of electronic products, numerical simulation plays a fundam...
Variations in material properties, boundary conditions, or the geometry can be expected in most elec...
This paper presents a systematic approach for the statistical simulation of nonlinear networks with ...
Abstract—A fast and parallel Stroud-based stochastic collocation method for statistically characteri...
This paper presents an alternative modeling strategy for the stochastic analysis of high-speed inter...
This work described in this thesis develops a computationally efficient approach to performing elect...
This letter presents a novel methodology for the stochastic simulation of interconnects illuminated ...
This paper presents a numerical procedure for the calculation of the polynomial chaos (PC)-expansion...