| Quantitative Biofractual Feedback Parts 1-3 |
May-2008 |
76 pages |
| Authors:
Daniel W Repperger; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH
|
 | Many complex networks and systems from nature can be characterized as distributed systems. It is shown in this talk that the analysis of network performance can be related to the intersection of five areas: optimization theory, graph theory, information theory, fractional calculus, and bio-inspired design (fractals). |
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| Quantitative Biofractual Feedback Part I-'Overview - Biofractals' |
May-2008 |
4 pages |
| Authors:
Daniel W Repperger; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH
|
| Many complex networks and systems from nature can be characterized as distributed systems. It is shown in this talk that the analysis of network performance can be related to the intersection of five areas: optimization theory, graph theory, information theory, fractional calculus, and bioinspired design (fractals). |
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| Development of a Planning Tool to Guide Research Dissemination |
2005 |
10 pages |
| Authors:
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| Investigation in patient safety improvement is constantly yielding new research results, yet efforts to put the results into practice are inconsistent. Therefore, a pragmatic tool is needed. The Dissemination Planning Tool was developed to assist the Agency for Health care Research and Quality (AHRQ) Patient Safety grantees with disseminating their research results. It was designed to help researchers consider major areas in dissemination: packaging research results, identifying target users, engaging ... |
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| Laser Bioeffects Resulting from Non-Linear Interactions of Ultrashort Pulses with Biological Systems |
JUL 2004 |
65 pages |
| Authors:
Randolph D. Glickman; TEXAS UNIV HEALTH SCIENCE CENTER AT SANANTONIO
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| The original goal of this project was to determine the role of non- linear interactions underlying the bioeffects induced by ultrashort pulse laser pulses. As initially conceived, this line of investigation was to be principally directed at understanding the contribution of multiphoton absorption. This indeed was a major focus of the research project, but for various reasons the scope of the work was expanded to include identification of the intracellular ... |
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| Coming Full Circle with Boyd's OODA Loop Ideas: An Analysis of Innovation Diffusion and Evolution |
MAR 2004 |
141 pages |
| Authors:
William S. Angerman; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING AND MANAGEMENT
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| The Observe-Orient-Decide-Act (OODA) Loop ideas of Air Force Colonel John Boyd have impacted the Department of Defense (DoD), influenced military thought, paved the way for operational change, and helped to shape fighting doctrines. A wide variety of OODA Loop ideas and interpretations exist in the literature, but are unorganized and have not undergone holistic study to determine how Boyd's ideas have spread or changed over time. As such, this research ... |
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| Electromagnetic Propagation, Localization and Lasing in Random and Periodic Media |
30 DEC 2003 |
13 pages |
| Authors:
A. Z. Genack; CITY UNIV OF NEW YORK RESEARCH FOUNDATION
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| Our measurements of the frequency and spatial variation of the microwave field in ensembles of random samples have revealed the underlying structure of wave correlation and photon localization. The intensity correlation was found in terms of displacement and polarization shift of the source and detector can be expressed in terms of the square of the corresponding field correlation function. Nonexponential decay of pulsed transmission through disordered media was found in ... |
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| Physical Basis of Fragility |
18 JUN 2003 |
17 pages |
| Authors:
J. T. Bendler; J. J. Fontanella; M. F. Shlesinger; NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS
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| Fragility of glass-forming liquids in the supercooled region is considered in the context of a defect diffusion theory. It is shown that a necessary condition that a liquid be 'fragile' is that there is an attractive interaction between mobile defects i.e. that the defects cluster with falling temperature. The relationship between the model parameters and a widely used fragility index is described. Each of the model parameters provides a contribution ... |
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| Determination of a Quantitative Algorithm for the Measurement of Muscle Oxygenation Using CW Near-Infrared Spectroscopy Mean Optical Pathlength Without the Influence of Adipose Tissue |
JUL 2000 |
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| Authors:
Jun Shao; Ling Lin; Masatsugu Niwayama; Nobuki Kudo; Katsuynki Yamamoto; HOKKAIDO UNIV SAPPORO (JAPAN)
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 | Near-infrared spectroscopy (NIRS) is a useful technique for noninvasive measurement of oxygenation of the brain and muscle. However, no accurate, quantitative algorithms for continuous wave NIRS (CW-NIRS) have yet been presented dute to the following two problems. The first is that inhomogeneous tissue structure greatly affects measurement sensitivity. We previously reported on the influence of a fat layer on muscle oxygenation measurement and proposed a method for correcting the sensitivity. ... |
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| Gallium Nitride Static Induction Power Transistors |
30 JUN 2000 |
21 pages |
| Authors:
Charles R. Eddy Jr.; Theodore D. Moustakas; BOSTON UNIV MA DEPT OF COMPUTER SCIENCE
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| This report summarizes a one year program to investigate issues related to fabrication and performance of III-V nitride static induction power transistors. To understand vertical conduction mechanisms in this device a nearly ideal, vertical Schottky barrier diode was fabricated and analyzed. By applying the diffusion theory of Schottky barriers, a vertical mobility of ^950 sq cm/Vs was measured which, when compared to a lateral mobility ... |
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| A Comparison of VLSTRACK (and Limited SCIPUFF) Predictions with Crystal Mist Experiment Results |
2000 |
19 pages |
| Authors:
Graham C. Killough; ITT SYSTEMS AND SCIENCES CORP HUNTSVILLE AL
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| Theoretical Studies of Energetic Materials |
06 DEC 1999 |
6 pages |
| Authors:
Donald L. Thompson; OKLAHOMA STATE UNIV STILLWATER DEPT OFCHEMISTRY
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| The research supported by AFOSR-AASERT grant F49620-95-L-0411 (parent grant F49620-95-L-0310) for the period 1 June 1995 to 31 May 1999 is described. The purpose of the research is the formulation of methods and realistic models for studying the fundamental properties and behavior of insensitive energetic materials. The work performed during this grant focused on the development of intramolecular potentials to describe the vibrational dynamics of the ... |
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| Modeling of Optical Beam Spread in Sea Ice |
MAY 1998 |
43 pages |
| Authors:
Curtis D. Mobley; SEQUOIA SCIENTIFIC INC MERCER ISLAND WA
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| This two year theoretical investigation of the optical properties of first year sea ice yielded several important results: (1) beam spread function measurements provide an important constraint on inversion of optical data to obtain ice scattering properties; (2) several hundred optical path lengths can be required to approach the asymptotic radiance distribution for point light sources, even though the ice is highly scattering; (3) photon diffusion theory gives a reasonably ... |
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| Analysis of Linear and Monoclinal River Wave Solutions |
JAN 1998 |
32 pages |
| Authors:
Michael G. Ferrick; Nicholas J. Goodman; COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
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| Linear dynamic wave and diffusion wave analytical solutions are obtained for a small, abrupt flow increase from an initial to a higher steady flow. Equations for the celerities of points along the wave profiles are developed from the solutions and related to the kinematic wave and dynamic wave celerities. The linear solutions are compared systematically in a series of case studies to evaluate the differences caused by inertia. These comparisons ... |
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| Analytic Transfer Function of the Forward Propagation of Diffuse Photon Density Waves in Turbid Media with an Embedded Spherical Inhomogeneity |
DEC 1997 |
126 pages |
| Authors:
Deborah L. Lasocki; AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
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| Diffusing photons can be used to detect and localize optical inhomogeneities embedded in turbid media such as clouds, fog, paint and human tissue. This thesis shows that a transfer function derived from an analytic solution of the Helmholtz equation can completely characterize in three dimensions the perturbations in the forward propagation phenomena caused by a spherical defect object in a multiple-scattering medium. Two models of the forward propagation behavior of ... |
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| Chemical Dynamics Studies of Reactions in Energetic Materials |
06 OCT 1997 |
17 pages |
| Authors:
Donald L. Thompson; OKLAHOMA STATE UNIV STILLWATER DEPT OFCHEMISTRY
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| A theoretical/computational research program to develop methods, simulate complex reactions, and investigate the fundamental chemical dynamics of reactions of nitramine energetic materials occurring under various experimental conditions has been carried out. The focus of the research was on RDX (hexahydro-1,3,3-trinitro-s-triazine), however, the reactions of several related systems were studied. While the goal of the research was to develop accurate models for and a better understanding of the reactions of cyclic ... |
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| Research on Self-Generated Stochastic Motion |
11 MAY 95 |
9 pages |
| Authors:
Allan J. Lichtenberg; CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
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| The purpose of the research was to study the processes by which stochastic motion is self-generated in deterministic systems, and the consequences of the resulting stochasticity. |
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| Integration of the Design and Manufacture of Gradient-Index Optical Systems |
95 |
326 pages |
| Authors:
Julie L. Bentley; ROCHESTER UNIV NY INST OF OPTICS
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| Modern manufacturing incorporates fabrication constraints and quality control into the initial product design to create competitive, cost effective products. This research offers a design for manufacture approach to gradient index lens production. Fabrication parameters are coupled to a lens design program to eliminate the traditional trial and error manufacturing process. The new approach allows a lens designer to design a gradient index optical system in terms of the actual fabrication ... |
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| Multi-Ion Ambipolar Diffusion |
JUL 92 |
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| Authors:
Thomas E. Gist; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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| The continuity and momentum equations for electrons and multiple ion species are solved analytically and numerically using a new model for ambipolar diffusion. The general form of the model is valid for any quasi-neutral plasma for which the diffusion approximation is appropriate, including positive or negative ions, arbitrary geometries, and time dependence. The model provides criteria for determining when single ion diffusion theory is appropriate for describing multi-ion discharges, when ... |
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| Multidimensional Deterministic Electron Transport Calculations |
MAY 92 |
96 pages |
| Authors:
W. L. Filippone; B. D. Ganapol; S. P. Monahan; ARIZONA UNIV TUCSON DEPT OF NUCLEAR AND ENERGY ENGINEERING
|
| Fast and accurate techniques for determining electron fluxes and energy deposition profile in complex multidimensional microcircuits have been developed. The multidimensional Spencer-Lewis Transport equation is solved deterministically using several special numerical techniques. We begin with the derivation of the Spencer-Lewis equation. Then we discuss SMART scattering theory that enables us to replace the highly anisotropic electron scattering kernal by one that is more amenable to numerical treatment. Next, we describe ... |
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| Electrochemistry Using Nanometer-Sized Electrodes |
29 MAY 90 |
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| Authors:
Reginald M. Penner; Michael J. Heben; Teresa L. Longin; Nathan S. Lewis; CALIFORNIA INST OF TECH PASADENA DEPT OF CHEMISTRY
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| Electrodes with dimensions as small as 10 A have been fabricated and used for electrochemical studies. Remarkably large current densities are generated by these ultra small electrodes, as predicted by conventional radial diffusion theory. These large current densities have enabled the measurement of electron transfer rate constants, k sub het, which are two orders of magnitude faster than k sub het values accessible using any other electrochemical method. |
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| Time Evolution of the Electron Swarm Energy Distribution Function |
28 JUN 89 |
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| Authors:
N. J. Carron; MISSION RESEARCH CORP SANTA BARBARA CA
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| The approximate theory of the Boltzmann Equation for the energy distribution function of swarm electrons is reviewed. The L, M approximation (essentially the Fokker-Planck approximation) is developed, being valid when average fractional energy loss per energy transfer collision is small, as is approximately the case in N2 and O2. A summary comparison with N2 and O2 swarm transport coefficients is presented showing excellent agreement over more than four orders of ... |
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| A Nonlinear Constitutive Behavior for Diffusion in Polymers |
24 FEB 87 |
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| Authors:
D. R. Lefebvre; T. C. Ward; D. A. Dillard; H. F. Brinson; VIRGINIA TECH CENTER FOR ADHESION SCIENCE BLACKSBURG
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| Non-linear diffusion is defined within the framework of Fick's laws where the diffusion coefficient, D, is a function of penetrant concentration, temperature and stress. It is also recognized that these same parameters are contained in a memory dependent free volume description of polymers. Combining the Stokes-Einstein equation for diffusion with a WLF shift function allows the Doolittle equation for free volume to be interpreted in terms of diffusion of penetrant. ... |
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| On the Calculation of the Electron Energy Spectrum in a Weakly Ionized Gas |
30 JAN 87 |
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| Authors:
N. J. Carron; MISSION RESEARCH CORP SANTA BARBARA CA
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| We study an approximate solution of the Boltzmann Equation for the distribution of electrons in a weakly ionized gas in the presence of an electric field E, momentum transfer collisions, and inelastic energy transfer collisions. Except when E = O, we work in the swarm regime where V sub drift < V sub thermal. The mean energy gain rate in the electric field, and mean energy loss rate to collisions ... |
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| Formulation and Analysis of Some Combat-Logistics Problems |
SEP 86 |
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| Authors:
Abdul-Latif R. Al-Zayani; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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| Models are developed to study the readiness and subsequent combat performance of an air-interceptor squadron facing sudden attack. These models necessarily link combat with logistics. The models are mainly analytical and not a Monte Carlo simulation, and can be used to indicate the optimal weapon system to be procured and to study the effect of peacetime decisions on combat outcomes. The logistics models use the matrix-geometric approach to study the ... |
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| Effects of Whistler-Mode and Other Waves in the Magnetosphere |
20 JUN 85 |
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| Authors:
M. Schultz; A. L. Vampola; D. J. Boucher Jr; AEROSPACE CORP EL SEGUNDO CA SPACE SCIENCES LAB
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| This report covers progress on three research topics related to the dynamics of natural and artificial radiation belts, with emphasis on the consequences of interactions between geomagnetically trapped electrons and waves that propagate in the magnetospheric plasma. Part I includes a review of the Kennel-Petschek saturation concept and a solution of the model nonlinear differential equation that describes the evolution of charged-particle intensities above, near, and below saturation level. Part ... |
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| Close-Spaced High Temperature Knudsen Flow |
15 JUN 85 |
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| Authors:
J. B. McVey; RASOR ASSOCIATES INC SUNNYVALE CA
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| This work continued to investigate thermionic energy conversion in the Knudsen (collisionless) operating mode. A SAVTEC-type converter with an interelectrode spacing of 18-22 microns was tested over a range of emitter temperatures up to about 1700 K. Maximum performance followed the predictions of vacuum-mode analysis for emitter temperatures below 1580 K. Above that temperature the converter operated in the unignited mode, with partial space- charge neutralization by surface ionization of ... |
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| A Model for Atomic Mixing and Preferential Sputtering Effects in SIMS depth Profiling |
DEC 84 |
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| Authors:
B. V. King; I. S. T. Tsong; ARIZONA STATE UNIV TEMPE DEPT OF PHYSICS
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| The development of altered surface layers due to preferential sputtering can be modeled by an algorithm based on the diffusion theory of atomic mixing using a depth-dependent diffusion coefficient. Application of the model to typical SIMS depth profiles of buried layers indicates that the effects of atomic mixing and preferential sputtering can be separated by analysis of the shift and broadening of the measured peaks. Additional keywords: reprints; targets; interfaces; ... |
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| Nonlinear Problems in Continuum Mechanics |
OCT 84 |
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| Authors:
H. B. Keller; D. S. Cohen; CALIFORNIA INST OF TECH PASADENA
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| The theory and application of bifurcation has been advanced in a wide array of problems in fluid dynamics and in reaction-diffusion systems. New models for diffusion in glassy polymers have been proposed and analyzed. New methods, both numerical and analytical, have been developed and applied to solving and analyzing bifurcation and other nonlinear problems. Keywords include: Glassy Polymers, Nonlinear Problems, Continuum Mechanics, Bifurcation, Fluid Dynamics, Reaction-Diffusion Systems. |
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| Environmental Impact Research Program. An Implicit, Wiggle-Free, and Accurate Upstream Finite-Difference Algorithm for the One-Dimensional Transport- Diffusion Equation |
JUN 1984 |
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| Authors:
D. R. Basco; TEXAS A AND M UNIV COLLEGE STATION DEPT OF CIVIL ENGINEERING
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| A stable, accurate, and robust finite-difference algorithm has been successfully developed for engineering solution of the one-dimensional transport-diffusion equation. It is implicit and accurate to a higher order through removal of truncation errors, and uses quadratic upstream weighted differencing of the advection term to eliminate wiggle instabilities. Patterned after the explicit scheme, the implicit method essentially doubles the useful, stable range of application with comparable accuracy. Because of these significant ... |
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| The Depth Resolution of Sputter Profiling |
84 |
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| Authors:
B. V. King; I. S. T. Tsong; ARIZONA STATE UNIV TEMPE DEPT OF PHYSICS
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| Depth profiles of impurity markers and overlayers obtained by sputter-sectioning techniques such as secondary ion mass spectrometry (SIMS) and Auger electron spectroscopy (AES) are modeled by a diffusion theory incorporating atomic mixing and preferential sputtering effects. The model explains very well broadening and shifts frequently observed in experimental depth profiles. Originator supplied keywords: Interfaces; multilayer structures; ion-bombardment; sputtering; SIMS; depth-profiles; depth resolution; ballistic mixing; cascade mixing; preferential sputtering; radiation-enhanced diffusion. ... |
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| The Effect of Atomic Mixing on the Depth Profiles of Metal Markers in Silicon |
84 |
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| Authors:
B. V. King; D. G. Tonn; I. S. T. Tsong; J. A. Leavitt; ARIZONA STATE UNIV TEMPE DEPT OF PHYSICS
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| Atomic mixing effects of sputter depth-profiles are modeled by a diffusion theory with a depth-dependent diffusion constant D. The model is compared to SIMS depth profiles, using 5 keV Ar+ bombardment of dilute thin-film multilayers of Al, Ag, Ti and Mo in silicon. The experimental values of D can be explained by cascade mixing and radiation enhanced diffusion within the cascade for Al, Ag and Ti markers but not for ... |
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| On the Plasma Physics on the Beam Plasma Discharge |
23 DEC 1983 |
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| Authors:
K. Papadopoulos; MARYLAND UNIV COLLEGE PARK DEPT OF PHYSICS AND ASTRONOMY
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| The scaling for the ignition of beam plasma discharge observed in many laboratory experiments is consistent with the requirement for triggering an absolute instability near the plasma frequency (omega sub e). The transition in the scaling with pressure can be attributed to transition from Bohm to classical diffusion losses. (Author) |
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| Fallout Fractionation in Silicate Soils |
DEC 1983 |
166 pages |
| Authors:
Charles R. Martin; AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
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| The existing models for treating fractionation in nuclear weapon debris are discussed and compared. A method which extends the existing theory for the case of surface bursts over silicate soils is developed and validated with weapons test data. Fission product uptake is modeled as follows: The weapon debris and some soil is fully vaporized. Some soil is merely melted. As the fireball cools, the refractory fission products are absorbed by ... |
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| Corrected Diffusion Approximations and Their Applications |
DEC 1983 |
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| Authors:
D. Siegmund; STANFORD UNIV CA DEPT OF STATISTICS
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| The current state of development of corrected diffusion approximations for first passage times to linear boundaries is reviewed. Some new results and several applications are described. Corrected diffusion approximations and large deviation approximations to the power function of a repeated significance test for a normal mean (known variance) are compared and contrasted. (Author) |
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| Effect of Pressure on Conductivity in Poly(Ethylene Oxide) Complexed with Alkali Metal Salts |
MAY 1983 |
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| Authors:
John J. Fontanella; Mary C. Wintersgill; NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS
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| Audio frequency complex admittance measurements at a number of temperatures have been performed on PEO complexed with various alkali metal perchlorates and thiocyanates at pressures up to 0.2 GPa. In general, the activation volumes tend to increase with the size of both the cation and anion. The trend is best explained if the ion transport mechanism involves both anions and cations. The results are in good agreement with the predictions ... |
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| Spatially Inhomogeneous Polymerization in Unstirred Bulk |
APR 1983 |
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| Authors:
Meira S. Falkovitz; Lee A. Segel; RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MATHEMATICAL SCIENCES
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| Optimal Control of Markov Processes |
MAR 1983 |
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| Authors:
Wendell H. Fleming; BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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| The purpose of this article is to give an overview of some recent developments in optimal stochastic control theory. Broadly speaking, stochastic control theory deals with models of systems whose evolution is affected both by certain random influences and also by certain inputs chosen by a controller. The authors are concerned here only with state-space formulations of control problems in continuous time. Moreover, the authors consider only markovian control problems ... |
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| Traveling Wave Solutions of Multistable Reaction-Diffusion Equations |
83 |
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| Authors:
D. Terman; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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| A new method for proving the existence of traveling wave solutions for equations is presented. The results describe when, for a given function F, there must exist zero, exactly one, a finite number, or an infinite number of waves which connect two fixed, stable rest points. Author keywords include: Reaction-diffusion equation; Traveling wave solution. ANNOTATION: Reprint: Traveling Wave Solutions of Multistable Reaction-Diffusion Equations. |
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| CARS Diagnostics of High Pressure Combustion |
NOV 1982 |
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| Authors:
John H. Stufflebeam; John A. Shirley; Robert J. Hall; UNITED TECHNOLOGIES RESEARCH CENTER EAST HARTFORD CT
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| Under Contract DAAG29-79-C-0008 sponsored by the Army Research Office, the United Technologies Research Center (UTRC) has conducted basic research investigations into coherent anti-Stokes Human spectroscopy (CARS). CARS is a remote laser diagnostic technique for temperature and species measurements in hostile combustion environments. As such it possesses considerable relevance to the Army in the general areas of ballistics, propulsion and internal combustion engines. This final report describes the results of the ... |
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| On Optimal Control of a Brownian Motion |
JUN 1982 |
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| Authors:
Yu-Chung Liao; BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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| This report discusses a controlled diffusion process which evolves as a reflected Brownian motion under each control action. A switching cost is incurred when the control action is switched. The control problem turns out to be a sequential decision problem, i.e., to find a sequence of optimal stopping times to switch control. The dynamic programming equation for a discounted cost criterion is a quasi-variational inequality. By allowing the discount factors ... |
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| Advanced Silicon Material Development for LADIR |
DEC 1981 |
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| Authors:
H. Kimura; M. H. Young; G. D. Robertson; O. J. Marsh; HUGHES RESEARCH LABS MALIBU CA
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| Results from several float-zoned Si:Ga crystals show that the uniformity of Ga distribution improves as the growth rate is decreased and the rotation rate during growth is increased, in agreement with diffusion theory. For 2-in. diameter crystals, the lowest growth rate that will yield dislocation- free crystals in our equipment is about 3 mm/min. The onset of mechanical resonance and vibration of the growing crystal supported on its slender seed ... |
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| Hot Electron Diffusion in Fine Line Semiconductor Devices |
23 OCT 1981 |
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| Authors:
W. T. Jones; K. Hess; G. J. Iafrate; ILLINOIS UNIV AT URBANA
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| Numerical Methods and Approximation and Modelling Problems in Stochastic Control Theory |
20 AUG 1981 |
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| Authors:
Harold J. Kushner; Wendell H. Fleming; BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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| This report summarizes the results of research produced under this grant, and lists titles of papers produced. (Author) |
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| Waiting-Time Behavior in a Nonlinear Diffusion Equation |
13 AUG 1981 |
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| Authors:
William L. Kath; Donald S. Cohen; CALIFORNIA INST OF TECH PASADENA
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| Effects of Mass Diffusion on the Burning Rate of Non-Dilute Mixtures |
1981 |
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| Authors:
Asok K. Sen; G. S. S. Ludford; NORTHWESTERN UNIV EVANSTON IL DEPT OF ENGINEERING SCIENCE AND APPLIED MATHEMATICS
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| An Inhomogeneous Quasilinear Hyperbolic System. |
NOV 1980 |
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| Authors:
Ching-hua Wang; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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| We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time. Our analysis is based on the random choice method which generalizes the Glimm scheme for hyperbolic conservation laws. (Author) |
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| The Singularly Perturbed Turning Point Problem: A Spectral Approach. |
NOV 1980 |
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| Authors:
Pieter DE Groen; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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| Consider the two-point boundary value problem -Epsilon u'' + xu prime - lambda u = 0, u(-1) = A, u(1) = B, with 0 < Epsilon |
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| Eigenvalues of the Fokker-Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields |
03 MAR 1980 |
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| Authors:
B. J. Matkowsky; Z. Schuss; NORTHWESTERN UNIV EVANSTON IL DEPT OF ENGINEERING SCIENCE AND APPLIED MATHEMATICS
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| Numerical Methods and Approximation and Modelling Problems in Stochastic Control Theory. |
15 AUG 1979 |
|
| Authors:
Wendell H. Fleming ; Harold J. Kushner; BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
|
| Many areas of stochastic control were studied in this period. Monte-Carlo algorithms of type appearing in adaptive systems were studied and stability, convergence and rate of convergence results obtained. The analytical techniques developed for this purpose have a wide applicability in the study of similar algorithms. Robust computationally oriented approximations to optimal non-linear filters were developed. A deep study of how to find the Markov system that best approximates a ... |
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| Asymptotic Theory for Process Least Squares Estimators for Diffusion Processes. |
JUL 1979 |
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| Authors:
B. L. S. Prakasa Rao; Herman Rubin; PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS
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| Strong consistency and asymptotic normality of an estimator related to least squares estimator for parameters involved in nonlinear stochastic differential equations are investigated by studying families of stochastic integrals using Fourier analytic methods. (Author) |
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Reports by Keyword(s)
DIFFUSION THEORY
