| Restricted-Recourse Bounds for Stochastic Linear Programming |
01-Dec-1999 |
15 pages |
| Authors:
R K Wood; David P Morton; NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF OPERATIONS RESEARCH
|
 | This article considers the problem of bounding the expected value of a linear program (LP) containing random coefficients, with applications to solving two-stage stochastic programs. An upper bound for minimizations is derived from a restriction of an equivalent, penalty-based formulation of the primal stochastic LP, and a lower bound is obtained from a restriction of a reformulation of the dual. These "restricted-recourse bounds" are more general and more easily computed ... |
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| Proceedings of the Fourth Annual U.S. Army Conference on Applied Statistics, 21-23 October 1998 |
NOV 1999 |
227 pages |
| Authors:
Barry A. Bodt; ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD
|
| The fourth U.S. Army Conference on Applied Statistics was hosted by the U.S. Army Training and Doctrine Command (TRADOC) Analysis Center - White Sands Missile Range (TRAC-WSMR) during 21-23 October 1998. Two sites were used for the conference. The meeting began at the Corbett Center on the campus of New Mexico State University in Las Cruces and concluded at WSMR. me conference was cosponsored by the ... |
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| Application of Mathematical Signal Processing Techniques to Mission Systems. (l'Application des techniques mathematiques du traitement du signal auxsystemes de conduite des missions) |
NOV 1999 |
|
| Authors:
NATO RESEARCH AND TECHNOLOGY ORGANIZATION NEUILLY-SUR-SEINE (FRANCE)
|
 | Presents a whole range of perspectives for different levels of mathematical signal processing, based on some of the most promising techniques. Particular attention is paid to the following subjects: (1) Wavelet analysis: summary of the possibilities; application to detection in natural background radiation and extraction of primitive invariants. (2) The concept of Multirate Filter Banks in conjunction with the various transforms which this technique ... |
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| A Partial Differential Equation Approach to Robust Control Design of Smart Materials and Structures; Theoretical and Computational Aspects |
30 SEP 1999 |
9 pages |
| Authors:
Irena Lasiecka; Robert Triggiani; VIRGINIA UNIV CHARLOTTESVILLE DEPT OF APPLIED MATHEMATICS
|
| Our research efforts under the ARO Grant have developed a robust control design methodology for distributed interactive systems, such as they arise within the technology of smart materials and structures. The proposed approach is based on the Partial Differential Equations (PDE) that model the structures from first physical principles. As such, this methodology Covers the entire range of frequencies, and, moreover, accounts for new pathological ... |
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| Some Problems in Nonlinear Analysis |
14 SEP 1999 |
8 pages |
| Authors:
Paul H. Rabinowitz; Panagiotis E. Souganidis; WISCONSIN UNIV-MADISON
|
| Rabinowitz's research involved developing new methods in the calculus of variations and applying them to a variety of problems in the area of dynamical systems. Souganidis' research involved developing new methods in the area of hyperbolic nonlinear pde and applying them to a variety of problems in phase transitions, mechanics and turbulent combustion. |
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| Computational Methods for Image Reconstruction and Enhancement |
SEP 1999 |
18 pages |
| Authors:
Curtis R. Vogel; MONTANA STATE UNIV BOZEMAN DEPT OF MATHEMATICAL SCIENCES
|
| This project had two goals: (1) the development of new computational techniques for image restoration; and (2) the application of these techniques to problems of interest to the US Air Force. The primary application was the identification of space objects from image data collected with ground-based optical telescopes. The achievements of the project included: (1) the publication of a number of research papers in applied ... |
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| Developing and Understanding Methods for Large-Scale Nonlinear Optimization |
16 AUG 1999 |
8 pages |
| Authors:
Robert B. Schnabel; Richard H. Byrd; COLORADO UNIV AT BOULDER
|
| The most important contribution under this grant has been a vast improvement in the ability of large-scale global optimization methods to solve very difficult molecular configuration problems. The improvements are shown both in the size and in the complexity of the problems that can now be solved. At the beginning of this research period, we and others were just beginning to solve molecular cluster problems with up to hundreds of ... |
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| Stability of Stochastic Networks |
28 JUN 1999 |
6 pages |
| Authors:
Paul Dupuis; Harold J. Kushner; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
|
| The report is divided into two parts. The first concerns the work on:(1) numerical methods for first order nonlinear equations PDE, deterministic control and large deviations, (2) development of the Skorokhod Problem and related methods for analyzing and controlling queueing and service networks, and(3) variational and stochastic methods in image recognition, and the first was the main contributor. The second part, in which the second PI was the main contributor ... |
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| MAFELAP 1999: Conference on the Mathematics of Finite Elements and Applications. Summaries of Papers |
25 JUN 1999 |
197 pages |
| Authors:
BRUNEL UNIV UXBRIDGE (UNITED KINGDOM) INST OF COMPUTATIONAL MATHEMATICS
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| The Semismooth Algorithm for Large Scale Complementarity Problems |
JUN 1999 |
25 pages |
| Authors:
Todd S. Munson; Francisco Facchinei; Michael C. Ferris; Andreas Fischer; Christian Kanzow; WISCONSIN UNIV-MADISON DEPT OF COMPUTERSCIENCES
|
| Complementarity solvers are continually being challenged by modelers demanding improved reliability and scalability. Building upon a strong theoretical background the semismooth algorithm has the potential to meet both of these requirements. We briefly discuss relevant theory associated with the algorithm and describe a sophisticated implementation in detail. Particular emphasis is given to robust methods for dealing with singularities in the linear system and to large ... |
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| A MATLAB GUI for a Legendre Pseudospectral Algorithm for Optimal Control Problems |
JUN 1999 |
100 pages |
| Authors:
Andrew O. Hall; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| This implementation of a Legendre-Gauss-Lobatto Pseudospectral (LGLP) algorithm takes advantage of the MATLAB Graphical User Interface (GUI) and the Optimization Toolbox to allow an efficient implementation of a direct solution technique. Direct solutions techniques solve optimal control problems without solving for the optimality conditions. Using the LGLP method, an optimal control problem is discretized into a Nonlinear Program (NLP) and solved using an NLP solver, avoiding the problems of deriving ... |
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| Analysis of the Necklace Algorithm and Its Applications |
JUN 1999 |
53 pages |
| Authors:
Douglas M. Matty; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| A commonly studied problem in the field of cryptography is the Discrete Logarithm Problem. This problem is also referred to as the "distance" problem. Basically, one would like to know where a particular binary n-tuple is in a list combining all of them, represented as powers of some primitive element, or equivalently what is the distance between a given pair of n-tuples in a similar representation. A de Bruijn sequence ... |
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| Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition |
JUN 1999 |
61 pages |
| Authors:
Patrick M. Marshall; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| This thesis is a partial analysis of the Naval Space Command statistical orbit determination algorithms. Through a process called Differential Correction, data from space surveillance radar observation stations is synthesized with previously accumulated element sets to maintain accurate orbital object position information. Differential Correction is a nonlinear least squares process employing statistical techniques to minimize the residual measurement error thereby increasing relative position information accuracy. This study focuses specifically on ... |
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| A Note on the Asymptotic Behavior of the LSE's of the Parameters for Superimposed Exponential Signals in Presence of Stationary Noise |
07 MAY 1999 |
16 pages |
| Authors:
Debasis Kundu; Rameshwar D. Gupta; PENNSYLVANIA STATE UNIV UNIVERSITY PARK CENTER FOR MULTIVARIATE ANALYSIS
|
| Superimposed exponential signals play an important role in Statistical Signal Processing and Time series analysis. In this note, the asymptotic behavior of the least squares estimators of the parameters are obtained in presence of stationary noise for the undamped exponential model. It is well known that this model does not satisfy the sufficient conditions of Jennrich (1969), Wu (1981) or Kundu (1991) for the least squares estimators to be consistent ... |
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| Wavelets for Compression of Image-Like Data |
22 APR 1999 |
11 pages |
| Authors:
Charles K. Chui; TEXAS A AND M UNIV COLLEGE STATION DEPT OF MATHEMATICS
|
| The objective of this report is to give a brief descriptive summary of the research findings on the research project under ARO Contract DAAH04-95-1- 0193, sponsored by SDIO/IST and managed by the U.S. Army Research Office. This is a three-year research grant with a one-year no-cost extension. Technical details are not included in this report, since most of the results have been reported semi-annually. The research findings can be divided ... |
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| Mathematical Prediction of the Physical Properties of Materials and Media |
10 MAR 1999 |
6 pages |
| Authors:
Oscar P. Bruno; CALIFORNIA INST OF TECH PASADENA DEPT OF APPLIED MATHEMATICS
|
| Application of the method of boundary variations to the calculation of electromagnetic scattering by three-dimensional bounded obstacles. Development of fast high-order integral methods for solution of problems of electromagnetic scattering involving surface and volume integrals. Description, based on homogenization and nonlinear elasticity theory, of conservative and dissipative mechanisms associated to the shape memory effect and hysteresis in Shape Memory Alloys. |
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| Linear Sampling Method |
05 MAR 1999 |
5 pages |
| Authors:
David Colton; Peter Monk; DELAWARE UNIV NEWARK DEPT OF MATHEMATICAL SCIENCES
|
| This project was concerned with the use and further development of the "linear sampling method" for determining the support of an anomaly in a piecewise constant background medium from measured electromagnetic scattering data. The main accomplishments were: (1) the development of the mathematical theory of the linear sampling method for Maxwell's equations in the three- dimensional anisotropic media; and (2) the numerical implementation of the linear sampling method for a ... |
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| Optimal Pulsed Pumping Schedule Using Calculus of Variation Methodology |
MAR 1999 |
160 pages |
| Authors:
Tay W. Johannes; AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
|
| Application of a variational optimization technique has demonstrated the potential strength of pulsed pumping operations for use at existing pump- and-treat aquifer remediation sites. The optimized pulsed pumping technique has exhibited notable improvements in operational effectiveness over continuous pumping. The optimized pulsed pumping technique has also exhibited an advantage over uniform time intervals for pumping and resting cycles. The most important finding supports the potential for managing and improving pumping ... |
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| High-Order Methods for Computational Physics |
MAR 1999 |
|
| Authors:
Timothy J. Barth; Herman Deconinck; NATO RESEARCH AND TECHNOLOGY ORGANIZATION NEUILLY-SUR-SEINE (FRANCE)
|
| Partial contents include: (1) High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes, (2) Discontinuous Galerkin Methods for Convection-Dominated Problems, (3) Adaptive Spectral Element Methods for Turbulence and Transition, (4) hp-FEM for Fluid Flow Simulation, and (5) High Order ENO and WENO Schemes for Computational Fluid Dynamics. |
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| Novel Mathematical/Computation Approaches to Image Exploitation |
17 FEB 1999 |
80 pages |
| Authors:
Richard Tolimieri; Myong An; Ta-Ming Fang; Bryant York; MASSACHUSETTS TECHNOLOGICAL LAB INC BELMONT
|
| A study of the harmonic analysis of finite abelian groups and a class of finite nonabelian groups is presented. The restriction to groups of the form G = A not B and their generalizations permit harmonic analysis to proceed by abelian group character theory. This results in: 1) a direct link with abelian group harmonic analysis and consequently with physical interpretation. 2) automatic procedures for constructing ... |
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| A Sensitivity-Based Design Environment |
31 JAN 1999 |
14 pages |
| Authors:
John A. Burns; VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG INTERDISCIPLINARY CENTERFOR APPLIED MATHEMATICS
|
| This report contains a summary and highlights of the work funded by the Air Force under AFOSR Grant F49620-98-1-0246, titled "A Sensitivity-Based Design Environment". This effort, funded under the Defense University Research Instrumentation Program (DURIP), was conducted by the Center for Optimal Design and Control (CODAC), at Virginia Tech during the period 1 February 1998-31 January 1999. The objective of the grant was to assemble ... |
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| Control, Stabilization and Dynamics of Mechanical Systems |
31 DEC 1998 |
11 pages |
| Authors:
Anthony M. Bloch; MICHIGAN UNIV ANN ARBOR
|
| This project involved the study of control and dynamics of various physical and engineering systems. The Principal Investigator analyzed the stability of mechanical systems in the presence of dissipation, as well as the stabilization of mechanical systems by using nonlinear controls. He studied in particular a method of control that involves matching a feedback controlled system by an autonomous controlled Lagrangian system by adjusting parameters. ... |
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| Fast Multipole Methods for Electromagnetic Circuit Computations |
31 DEC 1998 |
74 pages |
| Authors:
Vladimir Rohklin; FAST MATHEMATICAL ALGORITHMS AND HARDWARE CORP HAMDEN CT
|
| During the existence of the project, we designed Fast Multipole algorithms for the solution of the Laplace and Helmholtz equations, the latter predominately in the low-frequency regime. The principal analytical apparatus used were the new diagonal forms of translation operators for the Laplace and Helmholtz equation; such diagonal forms in turn required the use of Generalized Gaussian Quadratures, which we have also designed. In addition, ... |
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| High Order Accuracy Computational Methods for Long Time Integration of Nonlinear PDEs in Complex Domains |
30 NOV 1998 |
20 pages |
| Authors:
David Gottlieb; C. W. Shu; P. F. Fischer; W. S. Don; J. Hesthaven; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
|
| The overarching goal of this research was to construct stable, robust and efficient high order accurate computational methods for long time integration of nonlinear partial differential equations. High order accuracy methods (Spectral, Finite Difference and Finite Elements) for the numerical simulations of flows with discontinuities, in complex geometries were developed. In particular applications in supersonic combustion were emphasized. Specific research subjects included: Robust high order ... |
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| On Hybrid Systems and the Modal Mu-Calculus |
NOV 1998 |
35 pages |
| Authors:
J. M. Davoren; CORNELL UNIV ITHACA NY CENTER FOR FOUNDATIONS OF INTELLIGENT SYSTEMS
|
| Much of the contemporary work in logics for the formal verification of hybrid systems (notably the work of Henzinger at UC Berkeley and Manna at Stanford) builds directly on the framework of temporal logic verification of discrete systems. The core computational model is that of a hybrid automaton, which is represented formally as a transition system over a hybrid state space Xsubset contained in Q x IR(n), where Q is ... |
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| Future Location Prediction using Hidden Markov Modeling |
26 OCT 1998 |
133 pages |
| Authors:
Matthew A. Schnoor; COLORADO UNIV AT COLORADO SPRINGS
|
| Mobility of mobile SCUD launchers in Desert Storm produced a need for improved methods of tracking and location. Without ways to track SCUD launchers, great amounts of time and resources will continue to be wasted on search and destroy in future conflicts. Hidden Markov modeling provides a novel approach to predicting future movements of mobile SCUD launchers and other types of vehicles. The power of the hidden Markov model lies ... |
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| Nonlinear Wave Motion |
OCT 1998 |
3 pages |
| Authors:
John W. Miles; CALIFORNIA UNIV SAN DIEGO LA JOLLA INST OF GEOPHYSICS AND PLANETARY PHYSICS
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| Space-Time Adaptive Processing of Electromagnetic Waves: A First- Principles Approach Based on Extended Physical Wavelets |
30 SEP 1998 |
23 pages |
| Authors:
Gerald Kaiser; VIRGINIA CENTER FOR SIGNALS AND WAVES GLEN ALLEN
|
| The objectives of this research are (1) to formulate mathematically a class of electromagnetic wavelets, defined in spacetime, possessing good directivity and capable of being focused, and (2) to apply such wavelets to radar imaging and target recognition. |
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| Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation |
17 SEP 1998 |
141 pages |
| Authors:
Feng Zhao; OHIO STATE UNIV COLUMBUS DEPT OF COMPUTER AND INFORMATION SCIENCE
|
| The goal of this research is to develop high-performance computational tools for designing control systems for a class of complex physical systems. (1) Developed a verification algorithm for verifying control laws using phase-space geometric modeling of dynamical systems. The algorithm evolves a hierarchically-refined bound of system nonlinear dynamics and can address practical concerns such as sensor, actuator, and modeling uncertainties in a systematic ... |
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| High Frequency Electromagnetic Propagation/Scattering Codes |
15 SEP 1998 |
16 pages |
| Authors:
Vladimir Oliker; Bjorn Engquist; Stanley Osher; MATIS INC ATLANTA GA
|
| Two directions of work have been pursued. The first direction is concerned both extensions and generalizations of geometric technique for spatial and surface ray tracing and applications of these techniques to problems in high-frequency electromagnetics. The second direction is concerned with development of generalized eikonal and transport equations which can represent multiphase solutions and diffraction effects. |
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| Mathematical Nonlinear Optics |
11 SEP 1998 |
25 pages |
| Authors:
David W. McLaughlin; NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
|
| The general goal of this research is to develop the modern mathematical theory of nonlinear dispersive waves, and to apply this theory to applications in nonlinear optics. Aspects of the work also study fundamental properties of nonlinear materials, such as liquid crystals and polymers. These foundational studies provide basic understanding of nonlinear processes which are important for technological applications relevant to the Air Force, ... |
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| Lattice-Algebraic Morphology |
SEP 1998 |
64 pages |
| Authors:
Dennis W. McGuire; ARMY RESEARCH LAB ADELPHI MD SENSORS AND ELECTRON DEVICES DIRECTORATE
|
| The relations between two abstract lattice-algebraical approaches to mathematical morphology are investigated. One approach, developed by Heijmans and Ronse, entails the use of an abelian automorphism group, G, acting transitively on a sup-generating subset of the lattice, in order to abstract the translation invariance present in concrete morphology theories. The other, developed by Banon and Barrera, analyzes general mappings between complete lattices and develops morphological ... |
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| Mathematical Problems in Micromechanics and Composite Materials |
12 AUG 1998 |
14 pages |
| Authors:
Robert V. Kohn; Marco Avellaneda; NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
|
| This is the final technical report on ARO contract DAAH04-95-1-0100, which began March 1, 1995 and ended June 30, 1998. This project's scientific focus was at the frontier where mathematics meets materials science. Physically, it was concerned with issues such as the effective behavior of composites and the formation of microstructure due to coherent phase transformation. Mathematically, it brought to bear a variety of tools including homogenization, the calculus of ... |
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| High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI |
AUG 1998 |
50 pages |
| Authors:
Datta V. Gaitonde; Miguel R. Visbal; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH AIR VEHICLES DIRECTORATE
|
| A spectrum of higher-order schemes is developed to solve the Navier- Stokes equations in finite-difference formulations. Pade type formulas of up to sixth order with a five-point stencil are developed for the difference scheme. Viscous terms are treated by successive applications of the first derivative operator. However, formulas are also derived for use in a mid-point interpolation-differentiation strategy. For numerical stability, up to tenth- order filtering schemes are developed. The ... |
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| Complex Driving of Nonlinear Systems: Theory and Experiment |
29 JUL 1998 |
7 pages |
| Authors:
William L. Ditto; GEORGIA INST OF TECH ATLANTA SCHOOL OFPHYSICS
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| High Frequency Electromagnetic Propagation/Scattering Codes |
15 JUL 1998 |
34 pages |
| Authors:
Vladimir Rokhlin; Paolo Barbano; FAST MATHEMATICAL ALGORITHMS AND HARDWARE CORP HAMDEN CT
|
| Whenever band-limited signals are measured and generated, different distributions of a fixed number of receivers and transducers lead to very different resolutions. A closely related set of issues is encountered in the numerical solution of scattering problems; given a scatterer, one would like to find nodes on its surface leading to most efficient discretizations. During Phase 1 of the STTR project F49629-97-C-0052, we discovered (somewhat ... |
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| Computational Methods for Control in Partial Differential Equations |
13 JUL 1998 |
7 pages |
| Authors:
H. T. Banks; NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
|
| Research efforts and achievements in the area of modeling and computational methods in distributed parameter physical systems are summarized. Significant progress is reported on projects involving: (1) modeling of hepatic uptake and elimination of dioxin, (2) modeling and parameter estimation in electromagnetic field/solid interactions, and (3) radio frequency bonding of adhesives. |
|
| Semiannual Report. October 1, 1997 through March 31 1998 |
JUL 1998 |
51 pages |
| Authors:
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
|
| This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1997 through March 31, 1998. |
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| Application of a Nystrom Method to Solving 3-D Electromagnetic Interior Scattering Problems |
JUL 1998 |
19 pages |
| Authors:
Sherwood Samn; AIR FORCE RESEARCH LAB BROOKS AFB TX HUMAN EFFECTIVENESS DIRECTORATE
|
| In studying interior scattering problems of electromagnetic waves in biological systems, it is natural to consider finite inhomogeneous models in 3- space. With the advent of ever-increasing computing power and noval computer architecture for parallel processing, integral equation formulations of the problem have become viable alternatives to more traditional finite difference or finite element approaches. This report describes a generalization of the classical Nystrom Method ... |
|
| Proceedings of the Third Annual U.S. Army Conference on Applied Statistics, 22-24 October 1997 |
JUL 1998 |
154 pages |
| Authors:
Barry A. Bodt; ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD
|
| The third U.S. Army Conference on Applied Statistics was hosted by George Mason University (GMU) during 22-24 October 1997 at the recently opened Johnson Center on campus. The conference was cosponsored by the U.S. Army Research Laboratory (ARL), the U.S. Army Research Office (ARO), the U.S. Military Academy (USMA), the U.S. Army Training and Doctrine Command (ADOC) analysis Center-White Sands Missile Range, the Walter Reed ... |
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| Control Systems Analysis and Design via Matrix Inequalities and InteriorPoint Methods |
30 JUN 1998 |
9 pages |
| Authors:
Stephen P. Boyd; STANFORD UNIV CA
|
| During the contract period we made considerable progress, developing new families of convex optimization problems for use in control engineering, forging new areas of control applications, and improvements in algorithms. Two new families of convex optimization problems studied are determinant maximization with LMI constraints, and second order cone programming. Interior point code has been developed and tested for both of these, that are already ... |
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| Numerical Studies of Rough Surface Scattering Models |
29 JUN 1998 |
6 pages |
| Authors:
Shira L. Broschat; WASHINGTON STATE UNIV PULLMAN WA SCHOOL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE
|
| This final technical report summarizes the results of work performed between 1 Sep 89 and 31 Mar 97 or accomplishments achieved as a result of this work. Finite-Difference Time-Domain code was developed for rough surface scattering. The phase perturbation, small slope approximation, local parabolic approximation, and nonlocal small slope approximation models for rough surface scattering were developed and examined for a number of different spectra and surface types. |
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| Numerical Methods for Accurate Computation of Design Sensitivities |
10 JUN 1998 |
133 pages |
| Authors:
Dawn L. Stewart; VIRGINIA POLYTECHNIC INST BLACKSBURG
|
| This work is concerned with the development of computational methods for approximating sensitivities of solutions to boundary value problems. We focus on the continuous sensitivity equation method and investigate the application of adaptive meshing and smoothing projection techniques to enhance the basic scheme. The fundamental ideas are first developed for a one dimensional problem and then extended to 2-D flow problems governed by the incompressible Navier-Stokes equations. Numerical experiments are ... |
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| Homomorphic-Like Random Set Representation for Fuzzy Logic Models Using Exponentiation With Applications to Data Fusion |
JUN 1998 |
9 pages |
| Authors:
I. R. Goodman; SPACE AND NAVAL WARFARE SYSTEMS CENTER SAN DIEGO CA
|
| The primary goal of this extended abstract is to show how a relatively new mathematical tool, relational event algebra, an extension of conditional event algebra, can be utilized, in conjunction with one-point random set coverages, to represent a class of fuzzy logic models which uses exponentiation to model modifiers. |
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| Extension of Relational and Conditional Event Algebra to Random Sets With Applications to Data Fusion |
JUN 1998 |
36 pages |
| Authors:
I. R. Goodman; G. F. Kramer; SPACE AND NAVAL WARFARE SYSTEMS CENTER SAN DIEGO CA
|
| Conditional event algebra (CEA) was developed in order to represent conditional probabilities with differing antecedents by the probability evaluation of well-defined individual "conditional" events in a single larger space extending the original unconditional one. These conditional events can then be combined logically before being evaluated. A major application of CEA is to data fusion problems, especially the testing of hypotheses concerning the similarity or redundancy among inference rules through use ... |
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| Extension of Relational Event Algebra to a General Decision Making Setting |
JUN 1998 |
11 pages |
| Authors:
I. R. Goodman; G. F. Kramer; SPACE AND NAVAL WARFARE SYSTEMS CENTER SAN DIEGO CA
|
| Relational Event Algebra (REA) is a new mathematical tool which provides all explicit algebraic reconstruction of events (appropriately designated as relational events) when initially only the formal probability values of such events are given as functions of known contributing event probabilities. In turn, once such relational events are obtained, one call then determine the probability of any finite logical combination, and in particular, various probabilistic distance measures among the events. ... |
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| Matrix Algebra |
JUN 1998 |
127 pages |
| Authors:
Anthony R. Delatorre; William K. Cooke; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| This thesis is designed to act as an instructor's supplement for refresher matrix algebra courses at the Naval Postgraduate School (NPS). The need for a beginning matrix algebra supplement is driven by the unique circumstances of most NPS students. Most military students attend XPS several years after receiving their undergraduate degrees. This supplement, unlike most college textbooks, bridges the gap between the student's educational lay-off ... |
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| Graph Embeddings and Laplacian Eigenvalues |
JUN 1998 |
20 pages |
| Authors:
Stephen Guattery; Gary L. Miller; INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
|
| Graph embeddings are useful in bounding the smallest nontrivial eigenvalues of Laplacian matrices from below. For an n X n Laplacian, these embedding methods can be characterized as follows: The lower bound is based on a clique embedding into the underlying graph of the Laplacian. An embedding can be represented by a matrix GAMMA (G); the best possible bound based on this embedding is n/lambda(max)(GTG). However, the ... |
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| Continuous Lattices and Mathematical Morphology |
JUN 1998 |
51 pages |
| Authors:
Dennis W. McGuire; ARMY RESEARCH LAB ADELPHI MD SENSORS AND ELECTRON DEVICES DIRECTORATE
|
| I generalize the topological structure of the concrete forms of mathematical morphology to the lattice-algebraical framework using the theory of continuous lattices. I show that when a complete lattice, fl, exhibits the dual of the property that defines a continuous lattice, then fl together with a certain intrinsic lattice topology, m(fl), which is related by duality to the Lawson topology, has almost all the familiar properties, suitably generalized, of the ... |
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| High Order Accuracy Computational Methods in Aerodynamics Using ParallelArchitectures |
JUN 1998 |
6 pages |
| Authors:
David Gottlieb; Chi-Wang Shu; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
|
| This is an AASERT grant associated with AFOSR grant F49620-93-1-0090, with principal investigator David Gottlieb. This grant has supported one graduate student over three years. The research topic is parallel spectral methods for complex geometries. The Ph.D. thesis of Gerald W. Kruse was prepared under this grant. In the last year, after the graduation of Kruse, the work was continued by another graduate student, Henry Tufo. One ... |
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Reports by Keyword(s)
APPLIED MATHEMATICS
