Browsing Computational and Applied Mathematics by Title
Now showing items 392411 of 779

I Know It When I See It: Toward a Definition of Direct Search Methods
(199606)We discuss some ambiguities associated with the phrase "direct search method" and propose a formal definition. 
Identification of Regional Variation in the Constitutive Response of Axisymmetric Membranes
(200009)We demonstrate that the equilibrium equations for an axisymmetric, nonlinear, anisotropic membrane under hydrostatic pressure allow explicit representation of the longitudinal and azimuthal stresses in terms of the associated ... 
ImageBased Face Illumination Transferring Using Logarithmic Total Variation Models
(200909)In this paper, we present a novel imagebased technique that transfers illumination from a source face image to a target face image based on the Logarithmic Total Variation (LTV) model. Our method does not require any prior ... 
Imaging Complex Structures With Semirecursive Kirchhoff Migration
(200005)Attempting to image the subsurface in areas of complex geology and rapid lateral velocity variation is a challenging problem. In particular, using prestack Kirchhoff migration in conjunction with first arrival travel times ... 
Imaging Within Complex Velocity Structures with General Acquisition Geomtry
(199606)High frequency linearized inversion estimates a critical component of the earth's velocity field from measurements of scattered acoustic waves captured in various acquisition geometries. The method partitions the velocity ... 
Impact of Optimized Breastfeeding on the Costs of Necrotizing Enterocolitis in Extremely Low Birthweight Infants
(2016)Objective: To estimate risk of necrotizing enterocolitis (NEC) for extremely low birth weight (ELBW) infants as a function of preterm formula (PF) and maternal milk intake and calculate the impact of suboptimal feeding on ... 
Implementing Functionals in HCL
(199910) 
Implementing Nonlinear Operators in HCL
(199909) 
Implicit Application of Polynomial Filters in a kStep Arnoldi Method
(199010)The Arnoldi process is a well known technique for approximating a few eigenvalues and corresponding eigenvectors of a general square matrix. Numerical difficulties such as loss of orthogonality and assessment of the numerical ... 
Improved Spectral Calculations for Discrete Schroedinger Operators
(201305)This work details an O(n^2) algorithm for computing spectra of discrete Schroedinger operators with periodic potentials. Spectra of these objects enhance our understanding of fundamental aperiodic physical systems and ... 
Inaccuracy in QuasiNewton Methods: Local Improvement Theorems
(198303)In this paper, we consider the use of boundeddeterioration quasiNewton methods implemented in floatingpoint arithmetic to find solutions to F(x)=0 where only inaccurate Fvalues are available. Our analysis is for the ... 
Independence Systems and Stable Set Relaxations
(200808)Many fundamental combinatorial optimization problems involve the search for subsets of graph elements which satisfy some notion of independence. This thesis develops techniques for optimizing over a class of independence ... 
Inference for Time Series with Mixed Spectrum
(198705)The old and important problem of estimating the discontinuous (mixed) spectrum of a series containing periodic components was considered in this paper. Most nonparametric spectral estimation procedures were developed for ... 
Interface Error Analysis for Numerical Wave Propagation
(200810)The numerical error associated with finitedifference simulation of wave propagation in discontinuous media consists of two components. The first component is a higher order error that leads to grid dispersion; it can be ... 
InteriorPoint Algorithms for Semidefinite Programming Based on A Nonlinear Programming Formulation
(199912)Recently, the authors of this paper introduced a nonlinear transformation to convert the positive definiteness constraint on an n × n matrix function of a certain form into the positivity constraint on n scalar variables ... 
InteriorPoint Gradient Methods with DiagonalScalings for SimpleBound Constrained Optimization
(200404)In this paper, we study diagonally scaled gradient methods for simplebound constrained optimization in a framework almost identical to that for unconstrained optimization, except that iterates are kept within the interior ... 
Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates
(2016)We study the inverse boundary value problem for the Helmholtz equation using the DirichlettoNeumann map at selected frequencies as the data. A conditional Lipschitz stability estimate for the inverse problem holds in the ... 
Inverse Source Problems for TimeDependent Radiative Transport
(201405)In the first part of this thesis, I develop a time reversal method for the radiative transport equation to solve two problems: an inverse problem for the recovery of an initial condition from boundary measurements, and the ... 
Inversion of Reflection Seismograms by Differential Semblance Analysis: Algorithm Structure and Synthetic Examples
(199207)Seismograms predicted from acoustic or elastic earth models depend very nonlinearly on the long wavelength components of velocity. This sensitive dependence demands the use of special variational principles in waveformbased ...