Dimensionality hyper-reduction and machine learning for dynamical systems with varying parameters

Thesis (Ph.D.)--University of Washington, 2016-08

Stochastic Modeling of Reversible Biochemical Reaction-Diffusion Systems and High-Resolution Shock-Capturing Methods for Fluid Interfaces

Thesis (Ph.D.)--University of Washington, 2016-08

Fluctuations in and out of equilibrium: Thermalization, quantum measurements and Coulomb disorder

This purely theoretical thesis covers aspects of two contemporary research fields: the non-equilibrium dynamics in quantum systems and the electronic properties of three-dimensional topological insulators. In the first part we investigate the non-equilibrium dynamics in closed quantum systems. Thanks to recent technologies, especially from the field of ultracold quantum gases, it is possible to realize such systems in the laboratory. The focus is on the influence of hydrodynamic slow modes on the thermalization process. Generic systems in equilibrium, either classical or quantum, in equilibrium are described by thermodynamics. This is characterized by an ensemble of maximal entropy, but constrained by macroscopically conserved quantities. We will show that these conservation laws slow down thermalization and the final equilibrium state can be approached only algebraically in time. When the conservation laws are violated thermalization takes place exponential in time. In a different study we calculate probability distributions of projective quantum measurements. Newly developed quantum microscopes provide the opportunity to realize new measurement protocols which go far beyond the conventional measurements of correlation functions. The second part of this thesis is dedicated to a new class of materials known as three-dimensional topological insulators. Also here new experimental techniques have made it possible to fabricate these materials to a high enough quality that their topological nature is revealed. However, their transport properties are not fully understood yet. Motivated by unusual experimental results in the optical conductivity we have investigated the formation and thermal destruction of spatially localized electron- and hole-doped regions. These are caused by charged impurities which are introduced into the material in order to make the bulk insulating. Our theoretical results are in agreement with the experiment and can explain the results semi-quantitatively. Furthermore, we study emergent lengthscales in the bulk as well as close to the conducting surface.

Quasi-a priori truncation error estimation in the DGSEM

In this paper we show how to accurately perform a quasi-a priori estimation of the truncation error of steady-state solutions computed by a discontinuous Galerkin spectral element method. We estimate the spatial truncation error using the ?-estimation procedure. While most works in the literature rely on fully time-converged solutions on grids with different spacing to perform the estimation, we use non time-converged solutions on one grid with different polynomial orders. The quasi-a priori approach estimates the error while the residual of the time-iterative method is not negligible. Furthermore, the method permits one to decouple the surface and the volume contributions of the truncation error, and provides information about the anisotropy of the solution as well as its rate of convergence in polynomial order. First, we focus on the analysis of one dimensional scalar conservation laws to examine the accuracy of the estimate. Then, we extend the analysis to two dimensional problems. We demonstrate that this quasi-a priori approach yields a spectrally accurate estimate of the truncation error.

Vereda and Murundu wetlands and changes in Brazilian environmental laws: challenges to conservation

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Candidate Conservation Agreements to Minimize Military Conflicts with Wildlife Laws: The Gopher Tortoise (Gopherus polyphemus)

The proposed Endangered Species Act listing of the gopher tortoise has the potential to impact the military mission at installations in the southeastern United States. Candidate Conservation Agreements with the U.S. Fish and Wildlife Service could be a tool to promote conservation and potentially preclude listing. This project identified military activities that could be affected and determined that military natural resources managers are unsure if such an agreement would prevent impacts to the military mission or impose the same restrictions as federal listing. This project found that if a gopher tortoise Candidate Conservation Agreement can be developed such that it benefits the species as well as the military, it should be used as a model for other species.

Laws relating to conservation and planning.

Mode of access: Internet.

Laws relating to forestry, game conservation, flood control and related subjects.

Description based on: 1938.

Laws relating to conservation.

Mode of access: Internet.

Federal laws affecting national banks, including provisions of U. S. Revised statutes, Federal reserve act, Deposit insurance law, Emergency banking act, Bank conservation act, Banking act of 1933, Banking act of 1935 and other laws affecting the national banking system as of January 1, 1950.

"Compiled to supersede and bring up to date the previous edition, published in 1940."

Federal laws affecting national banks, including provisions of U. S. Revised statutes, Federal reserve act, Deposit insurance law, Emergency banking act, Bank conservation act, Banking act of 1933, Banking act of 1935 and other laws affecting, directly or indirectly, the national banking system, as of January 1, 1936.

On cover: National bank laws as of Jan. 1, 1936

Compilation of Federal laws relating to the conservation and development of our Nation's fish and wildlife resources.

Mode of access: Internet.

A compilation of Federal laws relating to conservation and development of our nation's fish and wildlife resources, environmental quality, and oceanography [microform].

Reuse of record except for individual research requires license from Congressional Information Service, Inc.

Using Video Analysis to Investigate Conservation Impulse and Mechanical Energy Laws

Video analysis provides an educational, motivating, and cost-effective alternative to traditional course- related activities in physics education. Our paper presents results from video analysis of experiments “Collision of balls” and “Motion of a ball rolled on inclined plane” as examples to illustrate the laws of conservation of impulse and mechanical energy.

Static laws in dynamic environments (bridging science to legislation)

Proceedings of the First International Conference on Coastal Conservation and Management in the Atlantic and Mediterranean, p. 193-200