RELIABILITY EVALUATION OF STRUCTURAL SYSTEMS USING HIGHER-ORDER MOMENT STANDARDIZATION TECHNIQUE : A study on reliability-based design using higher-order moment part 3

Moment characterization of higher-order risk preferences

Moment Matching Theorems for Dimension Reduction of Higher-Order Dynamical Systems via Higher-Order Krylov Subspaces

Moment matching theorems for Krylov subspace based model reduction of higherorder linear dynamical systems are presented in the context of higher-order Krylov subspaces. We introduce the definition of a nth-order Krylov subspace Kn k ({Ai} n i=1;u) based on a sequence of n square matrices {Ai}i=1 and vector u. This subspace is a generalization of Krylov subspaces for higher-order systems, incor...

Formal Reliability Analysis using Higher-Order Logic Theorem Proving

Formal Reliability Analysis using Higher-Order Logic Theorem Proving Naeem Ahmad Abbasi, Ph. D. Concordia University, 2012 Traditional techniques used in the reliability analysis of engineering systems have limitations. Paper-and-pencil based analysis is prone to human error and simulation based techniques cannot be computationally one hundred percent accurate. An alternative to these two tradi...

A Hierarchy of Diffuse Higher-order Moment Equations for Semiconductors

A hierarchy of diffusive partial differential equations is derived by a moment method and a Chapman-Enskog expansion from the semiconductor Boltzmann equation assuming dominant collisions. The moment equations are closed by employing the entropy maximization principle of Levermore. The new hierarchy contains the well-known drift-diffusion model, the energy-transport equations, and the six-momen...

A Hierarchy of Diffusive Higher-Order Moment Equations for Semiconductors

A hierarchy of diffusive partial differential equations is derived by a moment method and a Chapman-Enskog expansion from the semiconductor Boltzmann equation assuming dominant collisions. The moment equations are closed by employing the entropy maximization principle of Levermore. The new hierarchy contains the well-known drift-diffusion model, the energy-transport equations, and the six-momen...