Some Features Of The Concentration Oscillations In The Phenylacetylene Oxidative Carbonylation Reaction (In Russian), 2010 Moscow State Academy of Fine Chemical Thechnology

#### Some Features Of The Concentration Oscillations In The Phenylacetylene Oxidative Carbonylation Reaction (In Russian), Sergey N. Gorodsky

*Sergey N. Gorodsky*

Some modes of concentration oscillations in the homogeneous system KI-PdI2-CO-O2-CH3OH are described in this paper.

Existence Of Solutions For A Semilinear Wave Equation With Non-Monotone Nonlinearity, 2010 Harvey Mudd College

#### Existence Of Solutions For A Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro, Benjamin Preskill '09

*All HMC Faculty Publications and Research*

For double-periodic and Dirichlet-periodic boundary conditions, we prove the existence of solutions to a forced semilinear wave equation with asymptotically linear nonlinearity, no resonance, and non-monotone nonlinearity when the forcing term is not flat on characteristics. The solutions are in L^{∞} when the forcing term is in L^{∞} and continous when the forcing term is continuous. This is in contrast with the results in [4], where the non-enxistence of continuous solutions is established even when forcing term is of class C^{∞} but is flat on a characteristic.

A Class Of Discontinuous Petrov–Galerkin Methods. Part Iv: The Optimal Test Norm And Time-Harmonic Wave Propagation In 1d., 2010 University of Texas at Austin

#### A Class Of Discontinuous Petrov–Galerkin Methods. Part Iv: The Optimal Test Norm And Time-Harmonic Wave Propagation In 1d., Jeffrey Zitelli, Leszek Demkowicz, Jay Gopalakrishnan, D. Pardo, V. M. Calo

*Mathematics and Statistics Faculty Publications and Presentations*

The phase error, or the pollution effect in the finite element solution of wave propagation problems, is a well known phenomenon that must be confronted when solving problems in the high-frequency range. This paper presents a new method with no phase errors for one-dimensional (1D) time-harmonic wave propagation problems using new ideas that hold promise for the multidimensional case. The method is constructed within the framework of the discontinuous Petrov–Galerkin (DPG) method with optimal test functions. We have previously shown that such methods select solutions that are the best possible approximations in an energy norm dual to any selected ...

Deformation Waves In Microstructured Materials: Theory And Numerics, 2010 Tallinn University of Technology

#### Deformation Waves In Microstructured Materials: Theory And Numerics, Juri Engelbrecht, Arkadi Berezovski, Mihhail Berezovski

*Publications*

A linear model of the microstructured continuum based on Mindlin theory is adopted which can be represented in the framework of the internal variable theory. Fully coupled systems of equations for macro-motion and microstructure evolution are represented in the form of conservation laws. A modification of wave propagation algorithm is used for numerical calculations. Results of direct numerical simulations of wave propagation in periodic medium are compared with similar results for the continuous media with the modelled microstructure. It is shown that the proper choice of material constants should be made to match the results obtained by both approaches

Neural Extensions To Robust Parameter Design, 2010 Air Force Institute of Technology

#### Neural Extensions To Robust Parameter Design, Bernard Jacob Loeffelholz

*Theses and Dissertations*

Robust parameter design (RPD) is implemented in systems in which a user wants to minimize the variance of a system response caused by uncontrollable factors while obtaining a consistent and reliable system response over time. We propose the use of artificial neural networks to compensate for highly non-linear problems that quadratic regression fails to accurately model. RPD is conducted under the assumption that the relationship between system response and controllable and uncontrollable variables does not change over time. We propose a methodology to find a new set of settings that will be robust to moderate system degradation while remaining robust ...

Energetyka Niskoemisyjna, 2010 Wroclaw University of Technology

#### Energetyka Niskoemisyjna, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

New Bounds For Restricted Isometry Constants, 2010 University of Pennsylvania

#### New Bounds For Restricted Isometry Constants, T. Tony Cai, Lie Wang, Guangwu Xu

*Statistics Papers*

This paper discusses new bounds for restricted isometry constants in compressed sensing. Let Φ be an n × p real matrix and A; be a positive integer with k ≤ n. One of the main results of this paper shows that if the restricted isometry constant δ_{k} of Φ satisfies δ_{k} <; 0.307 then k-sparse signals are guaranteed to be recovered exactly via ℓ_{1} minimization when no noise is present and k-sparse signals can be estimated stably in the noisy case. It is also shown that the bound cannot be substantially improved. An explicit example is constructed in which δ_{k} = k-1/2k-1 <; 0.5, but it is impossible to recover certain k-sparse signals.

Coarser Connected Metrizable Topologies, 2010 University of Dayton

#### Coarser Connected Metrizable Topologies, Lynne Yengulalp

*Mathematics Faculty Publications*

We show that every metric space, X, with w(⩾) c has a coarser connected metrizable topology.

Non-Classical Symmetry Solutions To The Fitzhugh Nagumo Equation., 2010 East Tennessee State University

#### Non-Classical Symmetry Solutions To The Fitzhugh Nagumo Equation., Arash Mehraban

*Electronic Theses and Dissertations*

In *Reaction-Diffusion* systems, some parameters can influence the behavior of other parameters in that system. Thus reaction diffusion equations are often used to model the behavior of biological phenomena. The Fitzhugh Nagumo partial differential equation is a reaction diffusion equation that arises both in population genetics and in modeling the transmission of action potentials in the nervous system. In this paper we are interested in finding solutions to this equation. Using Lie groups in particular, we would like to find symmetries of the Fitzhugh Nagumo equation that reduce this non-linear PDE to an Ordinary Differential Equation. In order to accomplish ...

G-Lattices For An Unrooted Perfect Phylogeny, 2010 Rose-Hulman Institute of Technology

#### G-Lattices For An Unrooted Perfect Phylogeny, Monica Grigg

*Mathematical Sciences Technical Reports (MSTR)*

We look at the Pure Parsimony problem and the Perfect Phylogeny Haplotyping problem. From the Pure Parsimony problem we consider structures of genotypes called g-lattices. These structures either provide solutions or give bounds to the pure parsimony problem. In particular, we investigate which of these structures supports an unrooted perfect phylogeny, a condition that adds biological interpretation. By understanding which g-lattices support an unrooted perfect phylogeny, we connect two of the standard biological inference rules used to recreate how genetic diversity propagates across generations.

A Spectral Approach To Protein Structure Alignment, 2010 Rose-Hulman Institute of Technology

#### A Spectral Approach To Protein Structure Alignment, Yosi Shibberu, Allen Holder

*Mathematical Sciences Technical Reports (MSTR)*

We present two algorithms that use spectral methods to align protein folds. One of the algorithms is suitable for database searches, the other for difficult alignments. We present computational results for 780 pairwise alignments used to classify 40 proteins as well as results for a separate set of 36 protein alignments used for comparison to four other alignment algorithms. We also provide a mathematically rigorous development of the intrinsic geometry underlying our spectral approach.

Bilinear Programming And Protein Structure Alignment, 2010 Rose-Hulman Institute of Technology

#### Bilinear Programming And Protein Structure Alignment, J. Cain, D. Kamenetsky, N. Lavine

*Mathematical Sciences Technical Reports (MSTR)*

Proteins are a primary functional component of organic life, and understanding their function is integral to many areas of research in biochemistry. The three-dimensional structure of a protein largely determines this function. Protein structure alignment compares the structure of a protein with known function to that of a protein with unknown function. A protein’s three-dimensional structure can be transformed through a smooth piecewise-linear sigmoid function to a real symmetric contact matrix that represents the functional significance of certain parts of the protein. We address the protein alignment problem as a minimization of the 2-norm difference of two proteins’ contact ...

Dtime: Discrete Topological Imaging For Multipath Environments, 2010 University of Pennsylvania

#### Dtime: Discrete Topological Imaging For Multipath Environments, Robert Ghrist, H. Owen, Michael Robinson

*Technical Reports (ESE)*

This report is presented to summarize work completed under a DARPA seedling project for the imaging of urban environments, using radio multipath measurements and topology extraction algorithms. This report provides an overview of the mathematical theory behind the work, as well as a description of the simulation and results that accompanies the theory.

Spatiotemporal Dynamics In A Lower Montane Tropical Rainforest, 2010 University of Tennessee - Knoxville

#### Spatiotemporal Dynamics In A Lower Montane Tropical Rainforest, Robert Michael Lawton

*Doctoral Dissertations*

Disturbance in a forest’s canopy, whether caused by treefall, limbfall, landslide, or fire determines not only the distribution of well-lit patches at any given time, but also the ways in which the forest changes over time. In this dissertation, I use a 25 year record of treefall gap formation find a novel and highly patterned process of forest disturbance and regeneration, providing a local mechanism by examining the factors that influence the likelihood of treefall. I then develop a stochastic cellular automaton for disturbance and regeneration based on the analysis of this long term data set and illustrate the ...

Nonlinear Acoustics Of Piston-Driven Gas-Column Oscillations, 2010 University of Tennessee Space Institute

#### Nonlinear Acoustics Of Piston-Driven Gas-Column Oscillations, Andrew William Wilson

*Masters Theses*

The piston-driven oscillator is traditionally modeled by directly applying boundary conditions to the acoustic wave equations; with better models re-deriving the wave equations but retaining nonlinear and viscous effects. These better models are required as the acoustic solution exhibits singularity near the natural frequencies of the cavity, with an unbounded (and therefore unphysical) solution. Recently, a technique has been developed to model general pressure oscillations in propulsion systems and combustion devices. Here, it is shown that this technique applies equally well to the piston-driven gas-column oscillator; and that the piston experiment provides strong evidence for the validity of the general ...

Propagation Of Periodic Waves Using Wave Confinement, 2010 University of Tennessee - Knoxville

#### Propagation Of Periodic Waves Using Wave Confinement, Paula Cysneiros Sanematsu

*Masters Theses*

This thesis studies the behavior of the Eulerian scheme, with "Wave Confinement" (WC), when propagating periodic waves. WC is a recently developed method that was derived from the scheme "vorticity confinement" used in fluid mechanics, and it efficiently solves the linear wave equation. This new method is applicable for numerous simulations such as radio wave propagation, target detection, cell phone and satellite communications.

The WC scheme adds a nonlinear term to the discrete wave equation that adds stability with negative and positive diffusion, conserves integral quantities such as total amplitude and wave speed, and it allows wave propagation over long ...

Dnagents: Genetically Engineered Intelligent Mobile Agents, 2010 University of Southern Mississippi

#### Dnagents: Genetically Engineered Intelligent Mobile Agents, Jeremy Otho Kackley

*Dissertations*

Mobile agents are a useful paradigm for network coding providing many advantages and disadvantages. Unfortunately, widespread adoption of mobile agents has been hampered by the disadvantages, which could be said to outweigh the advantages. There is a variety of ongoing work to address these issues, and this is discussed. Ultimately, genetic algorithms are selected as the most interesting potential avenue. Genetic algorithms have many potential benefits for mobile agents. The primary benefit is the potential for agents to become even more adaptive to situational changes in the environment and/or emergent security risks. There are secondary benefits such as the ...

Contaminant Flow And Transport Simulation In Cracked Porous Media Using Locally Conservative Schemes, 2010 Clemson University

#### Contaminant Flow And Transport Simulation In Cracked Porous Media Using Locally Conservative Schemes, Pu Song

*All Theses*

The purpose of this paper is to analyze some features of contaminant flow passing through cracked porous media, such as the influence of fracture network on the advection and diffusion of contaminant species, the adsorption impact of contaminant wastes on the overall transport flow and so on. In order to precisely describe the whole process, we firstly need to build the mathematical model to simulate this problem numerically. Taking into consideration of the characteristics of contaminant flow, we employ two partial differential equations to formulate the whole problem. One is flow equation, the other is reactive transport equation. The first ...

Quantum Codes From Two-Point Hermitian Codes, 2010 Clemson University

#### Quantum Codes From Two-Point Hermitian Codes, Justine Hyde-Volpe

*All Theses*

We explore the background on error-correcting codes, including linear codes and quantum codes from curves. Then we consider the parameters of quantum codes constructed from two-point Hermitian codes.

Numerical Modeling Of Contaminant Transport In Fractured Porous Media Using Mixed Finite Element And Finite Volume Methods, 2010 Clemson University

#### Numerical Modeling Of Contaminant Transport In Fractured Porous Media Using Mixed Finite Element And Finite Volume Methods, Chen Dong

*All Theses*

A mathematical model for contaminant species passing through fractured porous media is presented. In the numerical model, we combine two locally conservative methods, i.e. mixed finite element (MFE) and the finite volume methods. Adaptive triangle mesh is used for effective treatment of the fractures. A hybrid MFE method is employed to provide an accurate approximation of velocities field for both the fractures and matrix which are crucial to the convection part of the transport equation. The finite volume method and the standard MFE method are used to approximate the convection and dispersion terms respectively. Numerical examples in different fractured ...