Browsing by Department "Computational Science, Engineering, and Mathematics Program"
Now showing items 120 of 36

Adaptive multiscale modeling of polymeric materials using goaloriented error estimation, Arlequin coupling, and goals algorithms
(200805)Scientific theories that explain how physical systems behave are described by mathematical models which provide the basis for computer simulations of events that occur in the physical universe. These models, being only ... 
An algorithm of a fully conservative volume corrected characteristicsmixed method for transport problems
(200912)A basic phenomenon modeled computationally is tracer transport in a flow field, such as in porous medium simulation. We analyze the stability and convergence of a fully conservative characteristic method, the Volume Corrected ... 
Analysis and numerical simulation of the diffusive wave approximation of the shallow water equations
(200808)In this dissertation, the quantitative and qualitative aspects of modeling shallow water flow driven mainly by gravitational forces and dominated by shear stress, using an effective equation often referred to in the ... 
Computational modeling and realtime control of patientspecific laser treatment of prostate cancer
(200805)Hyperthermia based cancer treatments delivered under various modalities have the potential to become an effective option to eradicate the disease, maintain functionality of infected organs, and minimize complications and ... 
A conservative deterministic spectral method for rarefied gas flows
(200808)The mathematical analysis of the Boltzmann equation for a wide range of important models is well developed. It describes physical phenomena which are often of great engineering importance (in aerospace industry, semiconductor ... 
Fast and accurate macromolecular solvation energy and force computations
(200812)This thesis reports a comprehensive study of the electrostatic solvation energy computation for macromolecules. In the molecular dynamics (MD) simulations it is important to be able to compute the free energy of the ... 
Fully automatic hpadaptivity for acoustic and electromagnetic scattering in three dimensions
(200705)We present an algorithm for fully automatic hpadaptivity for finite element approximations of elliptic and Maxwell boundary value problems in three dimensions. The algorithm automatically generates a sequence of coarse ... 
Indifference valuation in nonreduced incomplete models with a stochastic risk factor
(200712)This work contributes to the methodology of valuation of financial derivative contracts in an incomplete market. It focuses on a special type of incompleteness caused by the presence of a nontraded stochastic risk factor, ... 
Isogeometric analysis and numerical modeling of the fine scales within the variational multiscale method
(200708)This work discusses isogeometric analysis as a promising alternative to standard finite element analysis. Isogeometric analysis has emerged from the idea that the act of modeling a geometry exactly at the coarsest levels ...