Browsing Computational and Applied Mathematics by Title
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Analysis of Two Mathematical Models for the Coupled NavierStokes/Darcy Problem
(200904)This paper introduces and analyzes two models coupling of incompressible NavierStokes equations with the porous media flow equations. A numerical method that uses continuous finite elements in the incompressible flow ... 
Analysis of Weak Solutions For the Fully Coupled StokesDarcyTransport Problem
(200911)This paper analyzes the surface/subsurface flow coupled with transport. The flow is modeled by the coupling of Stokes and Darcy equations. The transport is modeled by a convectiondominated parabolic equation. The twoway ... 
Analyzing SingleMolecule Manipulation Experiments
(200810)Singlemolecule manipulation studies can provide quantitative information about the physical properties of complex biological molecules without ensemble artifacts obscuring the measurements. We demonstrate computational ... 
Angola Cameia Development CasingSettlement Calculations
(2017)The amount of axial settlement of casings supported by regions of axial elastic foundations is computed. The differential equation of axial equilibrium, including the foundation stiffnesses, is solved by use of cubic axial ... 
Anomalous Reflections Near a Caustic
(199507)We consider scattering associated to the reduced scalar wave equation. High frequency asymptotic solutions of this equation leads to the theory of geometrical optics. In this theory energy is transported along rays (orthogonal ... 
Application of Harmonic Coordinates to 2D Interface Problems on Regular Grids
(201206)Finite difference and finite element methods exhibit first order convergence when applied to static interface problems where the grid and interface are not aligned. Although modified and unstructured grid methods would ... 
Application of POD and DEIM to Dimension Reduction of Nonlinear Miscible Viscous Fingering in Porous Media
(200907)A Discrete Empirical Interpolation Method (DEIM) is applied in conjunction with Proper Orthogonal Decomposition (POD) to construct a nonlinear reducedorder model of finite difference discretized system used in the simulation ... 
Applying the ShortTime Direct Directed Transfer Function to Human Electrocorticographic Recordings from a Language Task
(201302)This thesis applied the shorttime direct directed transfer function (SdDTF) to time series data recordings from intracranial electrodes that measure the brain's electrical activity to determine the causal influences that ... 
Approximate Constant Density Acoustic Inverse Scattering Using DipDependent Scaling
(200904)This abstract presents a computationally efficient method to approximate the inverse of the Hessian or normal operator arising in a linearized inverse problem for constant density acoustics model of reflection seismology. ... 
Approximate Inverse Scattering Using Pseudodifferential Scaling
(200904)This thesis proposes a computationally efficient method for approximating the inverse of the normal operator arising in the linearized inverse problem for reflection seismology. The inversion of the normal operator using ... 
An approximate inverse to the extended Born modeling operator
(2015)Given a correct (dataconsistent) velocity model, reverse time migration (RTM) correctly positions reflectors but generally with incorrect amplitudes and wavelets. Iterative leastsquares migration (LSM) corrects the ... 
Approximate MultiParameter Inverse Scattering Using Pseudodifferential Scaling
(201104)I propose a computationally efficient method to approximate the inverse of the normal operator arising in the multiparameter linearized inverse problem for reflection seismology in two and three spatial dimensions. Solving ... 
Approximation of largescale dynamical systems: An Overview
(200102)In this paper we review the state of affairs in the area of approximation of largescale systems. We distinguish among three basic categories, namely the SVDbased, the Krylovbased and the SVDKrylovbased approximation ... 
Asymptotic Analysis of Differential Semblance for Layered Acoustics
(2001)Differential semblance velocity estimators have welldefined and smooth high frequency asymptotics. A version appropriate for analysis of CMP gathers and layered acoustic models has no secondary minima within a sublevel ... 
Augmented L1 and NuclearNorm Models with a Globally Linearly Convergent Algorithm
(201201)This paper studies the models of minimizing $x_1+1/(2\alpha)x_2^2$ where $x$ is a vector, as well as those of minimizing $X_*+1/(2\alpha)X_F^2$ where $X$ is a matrix and $X_*$ and $X_F$ are the ... 
Augmented Lagrangian Alternating Direction Method for Matrix Separation Based on LowRank Factorization
(201101)The matrix separation problem aims to separate a lowrank matrix and a sparse matrix from their sum. This problem has recently attracted considerable research attention due to its wide range of potential applications. ... 
Automatic Differentiation of Polymorphic Fortran 77 Programs Using Adifor 3.0
(200311)Adifor 3.0 is a sourcetosource transformation tool used to augment programs that compute derivatives. As part of the transformation process, Adifor analyzes certain aspects of program behaviour. Furthermore, that analysis ... 
Automatic Differentiation: Overview and Application to Systems of Parameterized Nonlinear Equations
(199210)Automatic Differentiation is a computational technique that allows the evaluation of derivatives of functions defined by computer programs. Derivatives are calculated by applying the chain rule of differential calculus to ... 
Automatic Discrete Empirical Interpolation for Nonlinear Model Reduction
(201208)The Discrete Empirical Interpolation Method (DEIM) is a technique for model reduction of nonlinear dynamical systems. It is based upon a modification to proper orthogonal decomposition which is designed to reduce the ...