Browsing Computational and Applied Mathematics by Title
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Balancing NeumannNeumann Methods for Elliptic Optimal Control Problems
(200312)We present NeumannNeumann domain decomposition (DD) preconditioners for the solution of elliptic linear quadratic optimal control problems. The preconditioner is applied to the optimality system. A Schur complement ... 
Best Symmetric Low Rank Approximation Via the Symmetry Preserving Singular Value Decomposition
(200712)The symmetry preserving singular value decomposition (SPSVD) produces the best symmetric (low rank) approximation to a set of data. These symmetric approximations are characterized via an invariance under the action of a ... 
Biased and Unbiased CrossValidation in Density Estimation
(198702)Non parametric density estimation requires the specification of smoothing parameters. The demand of statistical objectivity make it highly desirable to base the choice on properties of the data set. In this paper we ... 
Bilevel Clique Interdiction and Related Problems
(201705)I introduce a formulation of the bilevel clique interdiction problem. Interdiction, a military term, describes the removal of enemy resources. The single level clique interdiction problem describes the attempt of an attacker ... 
Black Oil Simulation Utilizing a Central Finite Volume Scheme
(201605)Blackoil simulation is a valuable tool in predicting the multiphase multicomponent flow of fluids in reservoirs. This research validates the use of a central high resolution finite volume scheme developed by Kurganov ... 
Block Algorithms with Augmented RayleighRitz Projections for LargeScale Eigenpair Computation
(201506)Most iterative algorithms for eigenpair computation consist of two main steps: a subspace update (SU) step that generates bases for approximate eigenspaces, followed by a RayleighRitz (RR) projection step that extracts ... 
Block Stochastic Gradient Iteration for Convex and Noncovex Optimization
(201408)The stochastic gradient (SG) method can minimize an objective function composed of a large number of differentiable functions or solve a stochastic optimization problem, very quickly to a moderate accuracy. The block ... 
Born Waveform Inversion in Shot Coordinate Domain
(201605)The goal of this thesis is to integrate Born waveform inversion, variable projection algorithm and model extension concept to get a method that can improve the long scale background model updates reliably and efficiently ... 
Bounds on Eigenvalue Decay Rates and Sensitivity of Solutions to Lyapunov Equations
(200206)Balanced model reduction is a technique for producing a low dimensional approximation to a linear time invariant system. An important feature of balanced reduction is the existence of an error bound that is closely related ... 
Branch Decompositions and their Applications
(200004)Many reallife problems can be modeled as optimization or decision problems on graphs. Also, many of those reallife problems are NPhard. One traditional method to solve these problems is by branch and bound while another ... 
C++ and Fortran 77 Timing Comparisons
(199301)Recently there has been considerable debate within the scientific computation community over the suitability of C++ for large scale numerical computation. This note reports on timing studies of Fortran 77 and C++ conducted ... 
Calculation and Implementation of the Gradient of the DSO Objective Function for the General Acoustic Model
(199303)We present in this paper the computation of the DSO objective function in the general acoustic case. In this model, the density and the velocity are functions of the space variables. We use a perturbational approach, ... 
Cardinal Interpolating Multiresolutions
(199011) 
Case Studies For a FirstOrder Fobust Nonlinear Programming
(200606)In this paper, we conduct three case studies to assess the effectiveness of a recently proposed firstorder method for robust nonlinear programming (Ref. 1). Three robust nonlinear programming problems were chosen from the ... 
Characteristic Shape Sequences for Measures on Images
(200611)Researchers in many fields often need to quantify the similarity between images using metrics that measure qualities of interest in a robust quantitative manner. We present here the concept of image dimension reduction ... 
CharacteristicGalerkin Methods for Contaminant Transport with NonEquilibrium Adsorption Kinetics
(199208)A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, we consider equations modeling contaminant ... 
ClientServer Component Architecture for Scientific Computing
(200306)In a Distributed Computing Environment software components dispersed on a variety of computer platforms communicate transparently with each other to emulate a single computer platform. One distributed component framework ... 
Clique Generalizations and Related Problems
(201605)A large number of realworld problems can be model as optimization problems in graphs. The clique model was introduced to aid the study of network structure for social interaction. Each vertex represented an actor and the ... 
Coherent Interferometric Imaging, Time Gating and Beamforming
(201012)Coherent interferometric imaging is based on the backpropagation of local spacetime cross correlations of array data and was introduced in order to improve images when the medium between the array and the object to be ... 
Coherent Noise Suppression in Velocity Inversion
(1999)Data components with welldefined moveout other than primary reflections are sometimes called coherent noise. Coherent noise makes velocity analysis ambiguous, since no single velocity function explains incompatible moveouts ...