Problems Ordered by Company

MATHEMATICS IN INDUSTRIAL PROBLEMS

BY AVNER FRIEDMAN

From the series The IMA Volumes in Mathematics and its Applications

Springer-Verlag, New York

Volume 16 (1988)

Volume 24, Part 2 (1989)

Volume 31, Part 3 (1990)

Volume 38, Part 4 (1991)

Volume 49, Part 5 (1992)

Volume 57, Part 6 (1993)

Volume 67, Part 7 (1994)

Volume 83, Part 8 (1997)

Volume 88, Part 9 (1997)

Volume 100, Part 10 (1998)

Title of Problem Presentation	Author	Presentation	Company	Broad Application Area	Specific Area of Application	Mathematical Disciplines	IMA Volume #
Unresolved mathematical issues in coating flow mechanics	Stephan Kistler	30-Oct-87	3M	mechanics and fluid mechanics	Coating flows	fluid mechanics	16
A close encounter problem of random walk in polymer physics	Young--Hwa Kim	13-Nov-87	3M	chemical processes	Polymer physics	Probability	16
Mathematical models for thermal imaging-an heuristic approach	Charles Rennolet	13-Jan-89	3M	photography	Thermal imaging	PDE	24
Modeling problems in magneto--optic recording	Roger J. Anderson	12-May-89	3M	data storage and retrieval	Magneto--optic recording	PDE	24
Mathematical modeling of dielectric waveguides	David K. Misemer	3-Nov-89	3M	circuits and communications	Optical dielectric waveguides	Maxwell equations	31
Theory of polymer melt viscoelasticity	Young-Hwa Kim	16-Feb-90	3M	materials	Polymers	Statistical mechanics	31
Orientation of colloidal magnetically switchable particles	Richard D. Olmsted	12-Oct-90	3M	data storage and retrieval	Magnetic media	Statistical mechanics	38
Mathematical problems in color visualization	Donald H. Singley	10-Jan-92	3M	sensing and imaging	Color imaging	Integral transforms	49
Kinetic models of photobleaching	David K. Misemer	8-May-92	3M	photography	Photochemical materials	Kinetic theory	49
Magnetization reversal in particulate recording media	T. R. Hoffend, Jr.	25-Sep-92	3M	data storage and retrieval	Magnetic recording	Classical mechanics	57
Simulation of magnetic recording and playback processes	Robert L. Brott	15-Jan-93	3M	data storage and retrieval	Magnetic recording	Maxwell equations	57
Sunglitter in oceanic remote detection	David G. Freier	22-Jan-93	3M	sensing and imaging	Signal processing	Probability	57
Track reconstruction and data fusion	William J. Satzer	26-Mar-93	3M	sensing and imaging	Navigation systems	Probability	57
Head-media interaction in magnetic recording	Hamid R. Mortazavi	13-Dec-93	3M	data storage and retrieval	Magnetic recording	Fluid mechanics	67
Propagation of highly scattered radiation in tissue	David K. Misemer	18-Mar-94	3M	sensing and imaging	Medical measurements	Maxwell equations	67
Chemical filtration modeling	David G. Freier	14-Apr-95	3M	chemical processes	Chemical filtration	PDE	83
A diffusion model of droplet absorption	Larry Carson	3-Nov-95	3M	materials	Drying times	Fluid mechanics	88
Modeling solvation properties of molecules	David K. Misemer	29-Mar-96	3M	mechanics and fluid mechanics	Dilute solutions of molecules	Quantum and fluid mechanics	88
The light field for diffusely scattering media	Robert L. Brott	8-Nov-96	3M	optics and scattering	Movie screens	Optics	100
Mass transport and adsorption in particle-loaded beds	Tom Hoffend	21-Feb-97	3M	materials	water purification, respirators, etc.	Fluid mechanics	100
Ideal forming theory	Russell L. Mallet	7-Feb-92	Alcoa	materials	Metal forming	Continuum mechanics	49
Linear analysis of megastructures	Carl A. Nelson	16-Apr-91	Alliant Techsystems	mechanics and fluid mechanics	Drift of tall buildings	Elasticity theory, PDE	38
The element-free Galerkin method in large deformations	Stephen Beissel	28-Apr-95	Alliant Techsystems	mechanics and fluid mechanics	Large deformations in solids	Numerical analysis	83
A selection of applied mathematics problems	James McKenna	22-Apr-88	AT&T	miscellaneous applications	Robotics, semiconductors, queuing	Geometry,PDE,probability	16
Applications of large deviations to communications	Alan Weiss	4-Nov-88	AT&T	circuits and communications	Communications	Probability	24
Optimal switching between a pair of Brownian motions	Robert J. Vanderbei	26-Apr-89	AT&T	miscellaneous applications	Multi-step decision making	Probability	24
Fluid models and other asymptotic limits with data and teletraffic applications	Debasis Mitra	16-Jun-89	AT&T	circuits and communications	Communications queuing networks	Probability	24
Topics in tomography	Larry Shepp	4-May-90	AT&T	sensing and imaging	Tomography	integral transforms	31
Terminally attached polymer chains	Sanjay S. Patel	28-Sep-90	AT&T	materials	Polymers, adhesion promotion and prevention	Field theory	38
Analysis of cellular mobile radio	Paul E. Wright	27-Jan-95	AT&T	circuits and communications	Cellular mobile radio	queuing theory	83
Sphere packing problems: from the obvious to the puzzling	Frank H. Stillinger	22-Sep-95	AT&T	miscellaneous applications	Atom and ion packing, etc.	Mechanics	88
The changing nature of network traffic analysis and modeling	Walter Willinger	10-Jan-97	AT&T	circuits and communications	Communication networks	Probability	100
Packing problems in data communications	Michael Honig	16-Oct-87	Bellcore	circuits and communications	Data communications	information theory, analysis	16
Combinatorial problems arising in network optimization	Fan R.K. Chung	26-Feb-88	Bellcore	circuits and communications	Communication networks	Combinatorics	16
Fundamental limits to digital syncronization	Bhashrpilla Gopinath	3-Jun-88	Bellcore	circuits and communications	Digital communications	analysis	16
Signal design problems in multi-channel data communication	Michael Honig	3-Oct-88	Bellcore	circuits and communications	Signal processing	Optimization	24
Graph spectra, connectivity, and spin glass models of associative memory	John Schotland	20-Jan-89	Bellcore	data storage and retrieval	Neural networks	Statistical mechanics	24
Conformation of random polymers	John Schotland	11-Apr-90	Bellcore	materials	Polymers	Statistical mechanics	31
Information, probability and learning from examples	Andrew T. Ogielski	26-Oct-90	Bellcore	algorithms	Information theory	Probability	38
Signal design with an amplitude constraint	Michael L. Honig	8-Mar-91	Bellcore	circuits and communications	Signal processing	Analysis	38
Stochastic analysis of a slotted communication channel	Shlomo Halfin	6-Dec-91	Bellcore	circuits and communications	Digital communications	Probability	49
Pulse optimization for multi-user data communications	Michael L. Honig	11-Mar-94	Bellcore	circuits and communications	Digital communications	Transform analysis	67
High speed coating of optical fibers	John Abbott	4-Oct-91	Corning Incorporated	optics and scattering	Coating flows, Optical fibers	Fluid mechanics	49
Numerical simulations for industrial chemical research	Erich Wimmer	24-May-91	Cray Research	chemical processes	Chemical modeling	Quantum mechanics	38
Sparse matrix methods for chemical process simulation	Stephen E. Zitney	27-Sep-91	Cray Research	chemical processes	Chemical process simulation	Numerical analysis	49
Interprocessor memory contention	Robert Numrich	21-Feb-92	Cray Research	data storage and retrieval	Shared computer memory	Dimensional analysis, probability	49
Iterative solution methods on the Cray YMP/C90	Qasim Sheikh	12-Mar-93	Cray Research	algorithms	Solving large linear systems	Numerical analysis	57
Conservation laws in crystal precipitation	Peter E. Castro	6-Nov-87	Eastman Kodak	materials	Crystal precipitation	PDE, conservation laws	16
Mathematical modeling of semiconductor lasers	John Spence	6-Apr-90	Eastman Kodak	environment and energy	Semiconductor lasers	Maxwell equations	31
A limited coalescence problem	David Ross	8-Feb-91	Eastman Kodak	photography	Photographic films	Nonlinear PDE	38
Parameter identification in a reaction diffusion model	Kam Chuen Ng	12-Apr-91	Eastman Kodak	photography	Photographic films	Control theory, PDE	38
Imaging by random coverage	Peter Castro	19-Oct-91	Eastman Kodak	sensing and imaging	Photography	Statistical mechanics	49
Mathematics of blood analysis	David S. Ross	13-Mar-92	Eastman Kodak	life sciences	Blood testing	ODE	49
Brownian dynamics simulations of colloidal dispersion	Dennis R. Perchak	24-Apr-92	Eastman Kodak	mechanics and fluid mechanics	Colloidal dispersions	Probability	49
Variable forgetting factors in Kalman filtering	John P. Spence	2-Oct-92	Eastman Kodak	manufacturing and control	Color photocopying	Probability	57
Dissolution kinetics with feedback	David Ross	7-May-93	Eastman Kodak	chemical processes	Chemical dissolution	PDE	57
Wetting and adsorption at chemically heterogeneous surfaces	Yitzhak Shnidman	13-May-93	Eastman Kodak	materials	Wetting of surfaces	Statistical mechanics	57
Mass transport in colloidal dispersions	David S. Ross	8-Oct-93	Eastman Kodak	photography	Photographic films	PDE	67
A short random walk through polymer material behavior	Dennis Perchak	29-Apr-94	Eastman Kodak	materials	Polymers	Probability	67
Maxwell's equations and the analysis of electromagnetic devices	Edward P. Furlani	27-May-94	Eastman Kodak	manufacturing and control	Electromagnetic devices	Maxwell equations	67
A mathematical model of a crystallizer	David S. Ross	7-Oct-94	Eastman Kodak	materials	Abrasives	PDE	83
Fluid flow in a porous medium	John Hamilton	24-Feb-95	Eastman Kodak	mechanics and fluid mechanics	Blood testing	Fluid mechanics	83
Nonlinear diffusion in coating flows	David Ross	1-Dec-95	Eastman Kodak	mechanics and fluid mechanics	Coating flows	Fluid mechanics	88
Formation of photographic images	Peter Castro	18-Jan-96	Eastman Kodak	photography	Photographic films	Probability theory	88
Convective-diffusive lattice-gas models for flow under shear	Yitzhak Shnidman	9-Feb-96	Eastman Kodak	mechanics and fluid mechanics	Photographic films	Quantum mechanics	88
Modeling techniques for computation of coating flows	Steven J. Weinstein	25-Oct-96	Eastman Kodak	mechanics and fluid mechanics	Photographic films	Computational fluid dynamics	100
Measuring coalescence rates	David S. Ross	1-Nov-96	Eastman Kodak	mechanics and fluid mechanics	Photographic films	Integral equations	100
A conservation law model for ion etching for semiconductor fabrication	David S. Ross	12-Feb-88	Eastman Kodak	semiconductors	Semiconductor devices	analysis, conservation laws	16
A reaction--diffusion model of color negative film development	David S. Ross	3-Feb-89	Eastman Kodak	photography	Photographic films	PDE	24
Mathematical models of latent image formation	Peter E. Castro	5-May-89	Eastman Kodak	photography	Photographic films	Probability	24
Electrophotographic system models	John P. Spence	9-Jun-89	Eastman Kodak	photography	Copying machines	Maxwell equations	24
Diffusion in swelling media: modeling and applications	David S. Ross	2-Mar-90	Eastman Kodak	photography	Thermal dye transfer	PDE, diffusion	31
A three-state model for gel electrophoresis	Yitzhak Shnidman	25-Jan-91	Eastman Kodak	miscellaneous applications	DNA mapping	Nonlinear PDE	38
Global geodesic coordinates on a G0 continuous surface	Emmanuel T. Tsimis	18-Nov-94	Electronic Data Systems	sensing and imaging	Global positioning	Differential geometry	83
Interdisciplinary computational fluid dynamics	Wendell H. Mills	23-Sep-94	Engineering Computer Corporation	mechanics and fluid mechanics	Oil refinery	Computational fluid dynamics	83
Pulse reflection from a randomly stratified medium	Benjamin S. White	9-Feb-90	Exxon	sensing and imaging	Radar	Stochastic PDE	31
Image reconstruction in oil refinery	Brian Flannery	4-Dec-87	Exxon, Annadale, N.J	sensing and imaging	Oil refinery	integral transforms	16
Analytical and heuristic modeling of distributed algorithms	Charles L. Rennolet	13-Nov-90	FMC	algorithms	Distributed algorithms	Probability	38
Aerodynamic design with cfd	Gary S. Strumolo	3-May-91	Ford	mechanics and fluid mechanics	Vehicle aerodynamics	Computational fluid dynamics	38
Kinetic swelling of crosslinked polymer	Giuseppe Rossi	22-Nov-91	Ford	materials	Polymers, swollen rubber	Continuum mechanics	49
Micromechanics effects in creep metal-matrix composites	L. Craig Davis	2-Dec-94	Ford	materials	Metal creep	Continuum mechanics	83
Aeroacoustic research in the automotive industry	Gary S. Strumolo	26-May-95	Ford	environment and energy	Engine noise reduction	Fluid mechanics	83
Problems and applications in density-functional theory	Bill Schneider	17-Nov-95	Ford	materials	Rational design of chemicals/materials	Quantum mechanics	88
A phenomenological model for case--II diffusion in polymers	Giuseppe Rossi	20-May-96	Ford	materials	Plastic fuel tanks	PDE	88
Nonlinear elastic-viscoelastic correspondence	Kenneth N. Morman, Jr.	21-Jun-96	Ford	materials	Rubber-like polymers	Continuum mechanics	88
Discrete fluids using lattice gas methods	Gary Strumolo	4-Oct-96	Ford	mechanics and fluid mechanics	Automotive aerodynamics	PDE	100
Nonlinear effects in electrorheological fluids	L. Craig Davis	7-Feb-97	Ford	mechanics and fluid mechanics	Electrorheological fluids	Computational fluid dynamics	100
The advection equation in air quality modeling	David Chock	23-Feb-90	Ford	environment and energy	Air quality	Fluid mechanics	31
Stress-assisted diffusion in glassy polymers	Kenneth N. Morman	8-Nov-91	Ford	materials	Polymers	Continuum mechanics	49
Predicting properties of composite materials	L. Craig Davis	14-Feb-92	Ford	materials	Composite materials	Continuum mechanics	49
Computer simulations of electrorheological fluids	Kenneth C. Hass	19-Feb-93	Ford	mechanics and fluid mechanics	Electrorheological fluids, automotive products	Fluid mechanics	57
Local flaws in permeation reducing barrier layers	Giuseppe Rossi	5-Mar-93	Ford	materials	Plastic fuel tanks	Fluid mechanics	57
Modeling of electrostatic bell sprayers	Kevin R. J. Ellwood	5-Nov-93	Ford	mechanics and fluid mechanics	Electrostatic painting	Fluid mechanics	67
Neural networks as controllers	Lee A. Feldkamp	12-Nov-93	Ford	manufacturing and control	Auto engine operation	Control theory, dynamical systems	67
Causal modeling in diagnosing complex industrial equipment	Mahesh Morjaria	26-Apr-96	General Electric	manufacturing and control	Equipment monitoring	Probability theory	88
Multiple solutions in semiconductor device modeling	Daniel Baker	2-Dec-89	General Motors	semiconductors	Semiconductor devices	Maxwell equations	24
Mass flow sensing with heat waves	David K. Lambert	1-Oct-93	General Motors	environment and energy	Catalytic converters	PDE	67
Computer-aided design of developable surfaces	William Frey	18-Oct-96	General Motors	manufacturing and control	Automotive design	Differential geometry	100
The mathematical treatment of cavitation in elastohydrodynamic lubrication	Edward Bissett	29-Apr-88	General Motors	mechanics and fluid mechanics	Lubrication	Fluid mechanics	16
An inverse problem arising in the evolution of combustion aerosols	Samuel P. Marin	9-Feb-89	General Motors	environment and energy	combustion aerosols	PDE, integral equations	24
Polymer-dispersed liquid crystal films for light control	G. Paul Montgomery	12-Jan-90	General Motors	optics and scattering	Liquid crystal films	Maxwell equations	31
Current-voltage relations for electrolytic solutions	Daniel Baker	20-Apr-90	General Motors	mechanics and fluid mechanics	Electrolytic solutions	Fluid mechanics	31
Modeling catalytic converter performance	Edward J. Bissett	20-Nov-90	General Motors	environment and energy	Catalytic converters	Nonlinear PDE	38
An adaptive feedforward approach to robot control	Robert M. Goor	7-Jun-91	General Motors	circuits and communications	Robotics	Control theory, PDE	38
Modeling the performance of a piezoelectric gyroscope	W. Weston Meyer	13-Nov-92	General Motors	mechanics and fluid mechanics	Piezoelectric gyroscopes	Linear elasticity	57
Modeling exhaust-gas oxygen sensors	Daniel Baker	21-May-93	General Motors	environment and energy	Automotive exhausts	Nonlinear PDE	57
Robots, mechanisms and polynomial continuation	Charles Wampler	3-Mar-95	General Motors	Robotics	Robotics	Algebraic geometry	83
Surface modeling: impacts of design and manufacturing	James Cavendish	7-Apr-95	General Motors	manufacturing and control	Automotive design	Elasticity theory	83
High resolution sonar waveform synthesis	Craig Poling	29-Jan-88	Honeywell	sensing and imaging	Sonar	integral transforms	16
Dynamic inversion and control of nonlinear systems	Blaise Morton	1-Apr-88	Honeywell	manufacturing and control	Control systems	ODE	16
Some problems associated with secure information flows in computer systems	Tom Haigh	13-May-88	Honeywell	circuits and communications	Computer security	Graph theory	16
Applications and Modeling of Diffractive optics	J. Allen Cox	10-Jun-88	Honeywell	optics and scattering	Diffractive optics	Maxwell equations	16
Adaptive focused beamforming (AFB)	Craig Poling	8-Mar-89	Honeywell	sensing and imaging	Signal processing	Signal processing	24
Fundamental problems in the theory of shaped-charged jets	Carl A. Nelson	27-Oct-89	Honeywell	mechanics and fluid mechanics	Armor penetration	Fluid mechanics	31
Applications and modeling of diffractive optical elements	Allen Cox	17-Nov-89	Honeywell	optics and scattering	Diffractive optics	Maxwell equations	31
Structured singular values and invariant theory	Blaise Morton	1-Mar-91	Honeywell	manufacturing and control	Flight control systems	Control theory	38
A mini-max pursuit evasion algorithm	Michael Elgersma