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 ... 
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 ... 
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 ... 
ColumnSecant Update Technique for Solving Systems of Nonlinear Equations
(199110)This paper presents a QR update implementation of the successive column correction (SCC) method and a columnsecant modification of the SCC method, which is called the CSSCC method. The computational cost of the QR update ... 
Comparing Objective Functions for Velocity Inversion
(199310)The success of automatic velocity inversion is highly dependent on the numerical tractability of the optimization problem which defines the solution. The purpose of this paper is to compare the objective (cost) functions ... 
Comparing Problem Formulation for Coupled Sets of Component
(200711)In this paper several formulations and comparative test results are presented for problems involving the general paradigm of coupled sets of components. This paradigm is general enough to include systems of systems (SoS) ... 
A Comparison of High Order Interpolation Nodes for the Pyramid
(2015)The use of pyramid elements is crucial to the construction of efficient hexdominant meshes [M. Bergot, G. Cohen, and M. Duruflé, J. Sci. Comput., 42 (2010), pp. 345381]. For conforming nodal finite element methods with ... 
Comparison of Two Sets of Firstorder Conditions as Bases of InteriorPoint Newton Methods for Optimization with Simple Bounds
(200106)In this paper, we compare the behavior of two Newton interiorpoint methods derived from two different firstorder necessary conditions for the same nonlinear optimization problem with simple bounds. One set of conditions ... 
Computation of Eigenvalues for Starlike Domains
(1994)In this paper, we present a software tool for the computation of eigenvalues of starlike domains defined by polar boundary functions. We also offer and numerically test a conjecture on the monotonicity of the fundamental ... 
Computation of PseudoDifferential Operators
(199211)A simple algorithm is described for computing general pseudodifferential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the Fast Fourier Transform (FFT). The idea is motivated ...