Now showing items 1-20 of 78

    • Direct Numerical Simulation For Flow Transition Over A Flat Plate 

      Deng, Shutian (Mathematics, 2007-08-23)
      In this paper, direct numerical simulation (DNS) of flow transition over a flat plate at a free stream Mach number of 0.5 and a Reynolds number of 1000 based on the free stream velocity and inflow displacement thickness ...
    • The Least-squares Finite Element Method For Grid Deformation And Meshfree Applications 

      Fleitas, Dionisio Laeber (Mathematics, 2007-08-23)
      Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ...
    • New Developments Of The Deformation Method 

      Liu, Jie (Mathematics, 2007-08-23)
      New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ...
    • On The Image Of The Totalling Functor 

      Beck, Kristen Ann (Mathematics, 2007-08-23)
      Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. ...
    • LES For Wing Tip Vortex Around An Airfoil 

      Cai, Jiangang (Mathematics, 2007-08-23)
      The wing tip vortex is very important because of its effects on the noise generation, blade/vortex interactions on helicopter blades, propeller cavitations on ships, and other fields. The objective of this work is to use ...
    • Qualitative Behavior Of Dynamical Vector Fields 

      Kirby, Roger Dale (Mathematics, 2007-09-17)
      Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ...
    • On Progenitively Koszul Commutative Rings 

      Stern, Paul Russell (Mathematics, 2008-04-22)
      This paper introduces and identifies classes of progenitively Koszul rings. A progenitively Koszul ring is a commutative ring that admits a Koszul complex A=K(R) that is formal, and such that the homology algebra H(A) ...
    • Uniform Weighted Compact / Non-compact Schemes For Shock / Boundary Layer Interaction 

      Xie, Peng (Mathematics, 2008-08-08)
      The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / non-compact scheme ...
    • Study Of Multiple Impacts Of A Rigid Body With A Flat Surface 

      Badiu, Florin Vasile (Mathematics, 2008-08-08)
      Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ...
    • Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory 

      Mo, Min (Mathematics, 2008-08-08)
      This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spike-in probes found on commercial microarrays, ...
    • Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation 

      Busse, Theresa Nicole (Mathematics, 2008-08-08)
      The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ...
    • Mathematical Analysis Of Allelopathy And Resource Competition Models 

      Martines, Ian Pablo (Mathematics, 2008-08-08)
      Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. ...
    • The Impact Of Vaccination And Multiple Types Of HPV On Cervical Cancer 

      Crawford, Britnee A. (Mathematics, 2008-09-17)
      Understanding the relationship between multiple strains of human papillomavirus and cervical cancer may play a key role in vaccination strategies for the virus. In this article we formulate a model with two strains of ...
    • High Order Weighted Compact Boundary Condition 

      Wang, Zhengjie (Mathematics, 2008-09-17)
      In multi-dimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact ...
    • A Study On The B Family Of Shallow Water Wave Equations 

      Saha, Snehanhsu (Mathematics, 2009-09-16)
      In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ...
    • A New Method For Non-rigid Registration Of 3d Images 

      Akinlar, Mehmet Ali (Mathematics, 2009-09-16)
      In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ...
    • Multiple Linear Regression Model Of Visceral Leishmaniasis In Bihar, India 

      Sheets, Darren (Mathematics, 2009-09-16)
      Visceral Leishmaniasis (VL) is one of the world's worst parasitic killers, second only to Malaria, claiming nearly 500,000 lives each year. The disease attacks the spleen, liver, and bone marrow, and if left untreated is ...
    • High-order Numerical Schemes For High-speed Flows 

      Oliveira, Maria Luisa Bambozzi (Mathematics, 2009-09-16)
      A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shock-boundary layer interaction, shock-acoustic ...
    • A Globally Convergent Numerical Method For Coefficient Inverse Problems 

      Pantong, Natee (Mathematics, 2009-09-16)
      In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ...
    • Large Deviation Principle For Functional Limit Theorems 

      Oprisan, Adina (Mathematics, 2009-09-16)
      We study a family of stochastic additive functionals of Markov processes with locally independent increments switched by jump Markov processes in an asymptotic split phase space. Based on an averaging limit theorem, we ...