Now showing items 1-10 of 265
A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change
A domain decomposition technique is proposed for the computation of the acoustic wave equation, in which the bulk modulus and density fields are allowed to be discontinuous at the interfaces. Inside each subdomain, the ...
Modeling of in situ Biorestoration of Organic Compounds in Groundwater
A convergent numerical method for modeling in situ biorestoration of contaminated groundwater is outlined. This method treats systems of transport-biodegradation equations by operator splitting in time. Transport is ...
Analysis of an Upwind-Mixed Finite Element Method for Nonlinear Contaminant Transport Equations
In this paper, the numerical approximation of a nonlinear diffusion equation arising in contaminant transport is studied. The equation is characterized by advection, diffusion, and adsorption. Assuming the adsorption term ...
On the Quadratic Convergence of the Singular Newton's Method
The purpose of this essay is to describe a situation that we have found particularly exciting in our recent work in interior-point methods for linear programming. To our surprise, we have seen considerable theory developed ...
Interior-Point Algorithms for Semidefinite Programming Based on A Nonlinear Programming Formulation
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 ...
All Stationary Points of Differential Semblance Are Asymptotic Global Minimizers: Layered Acoustics
Differential semblance velocity estimators have well-defined and smooth high frequency asymptotics. A version appropriate for analysis of CMP gathers and layered acoustic models has no secondary minima. Its structure ...
RUF 1.0 User Manual
A Large-Scale Trust-Region Approach to the Regularization of Discrete Ill-Posed Problems
We consider the problem of computing the solution of large-scale discrete ill-posed problems when there is noise in the data. These problems arise in important areas such as seismic inversion, medical imaging and signal ...
A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
This work presents a global convergence theory for a broad class of trust-region algorithms for the smooth nonlinear programming problem with equality constraints. The main result generalizes Powell's 1975 result for ...