Search results | J. Murrey Atkins Library

Title: Interfacial instabilities in reacting flows
Author: Attal, Nitesh
Date Created: 2016
Subjects--Topical: Mechanical engineering
Description: Fluid instabilities, particularly interfacial instabilities, have proven to be a powerful mechanism in driving and sustaining combustion processes in several devices of practical interest. Modern combustors are in fact designed to exploit the mixi...

Title: Neumann functions and image systems of the Laplacian in the spheroidal geometry
Author: Edmiston, Robert
Date Created: 2019
Subjects--Topical: Mathematics
Description: We apply the method of image charges from electrostatics to the study of the Neumannfunction for the Laplace operator, equivalent to the Green's function with a Neumannboundary condition imposed. Such an analysis has previously been given for the ...

Title: The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations.
Author: Hounkanli, Kokouvi
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation is mainly a study of the center problem in the context of a family of three dimensional systems of ordinary differential equations of the form· {u} = &minus v + P(u,v,w), · {v} = u+Q(u,v,w), · {w}=&minus &lambda...

Title: Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Author: Kim, Sinae
Date Created: 2016
Subjects--Topical: Mathematics
Description: The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed for...

Title: GLOBAL CONVERGENCE AND QUASI REVERSIBILITY FOR COEFFICIENT INVERSE PROBLEMS
Author: Kuzhuget, Andrey
Date Created: 2011
Subjects--Topical: Mathematics
Description: An inverse problem of the determination of an initial condition in ahyperbolic equation from the lateral Cauchy data is considered. Thisproblem has applications to the thermoacoustic tomography, as wellas to linearized coefficient inverse problems...

Title: SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Author: Palta, Birce
Date Created: 2019
Subjects--Topical: Mathematics
Description: We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...

Title: APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
Author: Semiyari, Hamid
Date Created: 2015
Subjects--Topical: Mathematics
Description: We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...

Title: A CONVERTIBLE-BOND-PRICING METHOD BASED ON BOND PRICES ON MARKETS
Author: Shi, Qiang
Date Created: 2011
Subjects--Topical: Mathematics
Description: ABSTRACTQIANG SHI. A convertible-bond-pricing method based on bond prices on markets.(Under the direction of DR. YOU-LAN ZHU)This thesis is devoted to evaluating two-factor convertible bonds. Different zero-coupon bond curves are inputted when eva...

Title: THEORETICAL AND COMPUTATIONAL ANALYSIS OF SPECTRALLY HYPERVISCOUS MODELS OF TURBULENT FLOW
Author: Xiao, Chang
Date Created: 2010
Subjects--Topical: Mathematics
Description: Computing turbulent flow is very difficult but forms the basis for computational experiments in Meteorology and Oceanography. To overcome the difficulty and complexity in turbulence computation, a spectrally hyperviscous version of Navier-Stokes e...