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Problems Ordered by Application

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 #
Synergy in parallel algorithms Willard Miranker 5-Feb-88 IBM algorithms Computer algorithms Parallel algorithms 16
Scaling and optimization for list-matching Keith Kastella 17-Apr-90 UNISYS algorithms List matching Statistical mechanics 31
Information, probability and learning from examples Andrew T. Ogielski 26-Oct-90 Bellcore algorithms Information theory Probability 38
Analytical and heuristic modeling of distributed algorithms Charles L. Rennolet 13-Nov-90 FMC algorithms Distributed algorithms Probability 38
Iterative solution methods on the Cray YMP/C90 Qasim Sheikh 12-Mar-93 Cray Research algorithms Solving large linear systems Numerical analysis 57
Randomized algorithms in industrial problems Prabhakar Raghavan 14-Oct-94 IBM algorithms Logical arrays, printed circuit boards Randomized algorithms 83
A mini-max pursuit evasion algorithm Michael Elgersma 5-Jan-96 Honeywell algorithms Missle-control algorithms Differential games 88
A close encounter problem of random walk in polymer physics Young--Hwa Kim 13-Nov-87 3M chemical processes Polymer physics Probability 16
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
Simulated annealing in protein folding Keith Kastella 31-Jan-92 Paramax chemical processes Protein folding Simulated annealing 49
Dissolution kinetics with feedback David Ross 7-May-93 Eastman Kodak chemical processes Chemical dissolution PDE 57
Chemical filtration modeling David G. Freier 14-Apr-95 3M chemical processes Chemical filtration PDE 83
Packing problems in data communications Michael Honig 16-Oct-87 Bellcore circuits and communications Data communications information theory, analysis 16
Mathematical models for manufacturable Josephson junction circuitry Roger Hastings 20-Nov-87 UNISYS circuits and communications Circuits, superconductors ODE 16
Combinatorial problems arising in network optimization Fan R.K. Chung 26-Feb-88 Bellcore circuits and communications Communication networks Combinatorics 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
Fundamental limits to digital syncronization Bhashrpilla Gopinath 3-Jun-88 Bellcore circuits and communications Digital communications analysis 16
Solitons in non-homogeneous medium David Garret 2-Oct-88 UNISYS circuits and communications Fiber optics Maxwell equations 24
Signal design problems in multi-channel data communication Michael Honig 3-Oct-88 Bellcore circuits and communications Signal processing Optimization 24
Applications of large deviations to communications Alan Weiss 4-Nov-88 AT&T circuits and communications Communications 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
Mathematical modeling of dielectric waveguides David K. Misemer 3-Nov-89 3M circuits and communications Optical dielectric waveguides Maxwell equations 31
Signal design with an amplitude constraint Michael L. Honig 8-Mar-91 Bellcore circuits and communications Signal processing Analysis 38
An adaptive feedforward approach to robot control Robert M. Goor 7-Jun-91 General Motors circuits and communications Robotics Control theory, PDE 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
Analysis of cellular mobile radio Paul E. Wright 27-Jan-95 AT&T circuits and communications Cellular mobile radio queuing theory 83
Synchronization for chaotic dynamical systems Charles Tresser 5-Jun-95 IBM circuits and communications Secret message transmission Dynamical systems 83
Mathematical problems in high-precision interferometric GPS Craig Poling 5-Apr-96 Lockheed Martin circuits and communications Global positioning Algebra 88
The changing nature of network traffic analysis and modeling Walter Willinger 10-Jan-97 AT&T circuits and communications Communication networks Probability 100
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
Modeling problems in magneto--optic recording Roger J. Anderson 12-May-89 3M data storage and retrieval Magneto--optic recording PDE 24
Orientation of colloidal magnetically switchable particles Richard D. Olmsted 12-Oct-90 3M data storage and retrieval Magnetic media Statistical mechanics 38
Head-disk interface in magnetic storage device Claude Greengard 5-Apr-91 IBM data storage and retrieval Magnetic storage devices Fluid mechanics 38
Interprocessor memory contention Robert Numrich 21-Feb-92 Cray Research data storage and retrieval Shared computer memory Dimensional analysis, probability 49
Micromagnetics James L. Blue 21-May-92 NIST data storage and retrieval Magnetic recording Nonlinear PDE 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
Systematic data fusion using the theory of random conditional sets Ron Mahler 9-Apr-93 Paramax data storage and retrieval Data fusion Fuzzy logic 57
Micromagnetic simulation Michael E. Henderson 16-Apr-93 IBM data storage and retrieval Magnetic recording Maxwell equations 57
Head-media interaction in magnetic recording Hamid R. Mortazavi 13-Dec-93 3M data storage and retrieval Magnetic recording Fluid mechanics 67
Finite set statistics with applications to data fusion Ronald Mahler 9-May-94 UNISYS data storage and retrieval Data fusion Probability 67
Exchange energy representations in computational micromagnetics Michael J. Donahue 31-Jan-97 NIST data storage and retrieval Magnetic recording Quantum mechanics 100
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
A diffusion problem from rock porosity measurements Jeffrey S. Saltzman 10-Nov-89 Los Alamos National Laboratories environment and energy Nuclear waste disposal Fluid mechanics 31
The advection equation in air quality modeling David Chock 23-Feb-90 Ford environment and energy Air quality Fluid mechanics 31
Mathematical modeling of semiconductor lasers John Spence 6-Apr-90 Eastman Kodak environment and energy Semiconductor lasers Maxwell equations 31
Modeling exhaust-gas oxygen sensors Daniel Baker 21-May-93 General Motors environment and energy Automotive exhausts Nonlinear PDE 57
Mass flow sensing with heat waves David K. Lambert 1-Oct-93 General Motors environment and energy Catalytic converters PDE 67
A pseudo non-time-splitting scheme in air quality modeling Pu Sun 17-Feb-94 North Carolina Supercomputing Center environment and energy Air quality Nonlinear PDE 83
Electromigration modeling for smart power applications Leonard Borucki 13-May-94 Motorola environment and energy Fuel injection Nonlinear PDE 67
Engineering modeling of batteries Zhenhua Mao 10-Jun-94 Motorola environment and energy Batteries PDE 67
Aeroacoustic research in the automotive industry Gary S. Strumolo 26-May-95 Ford environment and energy Engine noise reduction Fluid mechanics 83
Modeling catalytic converter performance Edward J. Bissett 20-Nov-90 General Motors environment and energy Catalytic converters Nonlinear PDE 38
Mathematics of blood analysis David S. Ross 13-Mar-92 Eastman Kodak life sciences Blood testing ODE 49
Dynamic inversion and control of nonlinear systems Blaise Morton 1-Apr-88 Honeywell manufacturing and control Control systems ODE 16
An approach to optimal classification Dale Fixsen 1-Dec-89 UNISYS manufacturing and control Faulty component identification Probability 31
Structured singular values and invariant theory Blaise Morton 1-Mar-91 Honeywell manufacturing and control Flight control systems Control theory 38
Variable forgetting factors in Kalman filtering John P. Spence 2-Oct-92 Eastman Kodak manufacturing and control Color photocopying Probability 57
Neural networks as controllers Lee A. Feldkamp 12-Nov-93 Ford manufacturing and control Auto engine operation Control theory, dynamical systems 67
Geometric path planning in rapid prototyping Rida T. Farouki 14-Jan-94 IBM manufacturing and control Rapid prototyping Algebraic geometry 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
Dealing with geometric variations in manufacturing Vijay Srinivasan 16-Sep-94 IBM manufacturing and control Manufacturing Optimization theory 83
Surface modeling: impacts of design and manufacturing James Cavendish 7-Apr-95 General Motors manufacturing and control Automotive design Elasticity theory 83
The value of performance improvements at constant price/performance Bernie Rudin 16-Oct-95 IBM manufacturing and control Computer price/performance Algebra 88
Causal modeling in diagnosing complex industrial equipment Mahesh Morjaria 26-Apr-96 General Electric manufacturing and control Equipment monitoring Probability theory 88
Strategic risk management using stochastic programming Alan King 27-Sep-96 IBM manufacturing and control Risk management Stochastic programming 100
Computer-aided design of developable surfaces William Frey 18-Oct-96 General Motors manufacturing and control Automotive design Differential geometry 100
Modeling of a building cooling system Blaise Morton 14-Feb-97 Honeywell manufacturing and control Chilled-water cooling systems Thermodynamics 100
Conservation laws in crystal precipitation Peter E. Castro 6-Nov-87 Eastman Kodak materials Crystal precipitation PDE, conservation laws 16
Internal oxidation of binary alloys Patric S. Hagan 6-Oct-89 Los Alamos National Laboratories materials Oxidation of alloys PDE 31
Theory of polymer melt viscoelasticity Young-Hwa Kim 16-Feb-90 3M materials Polymers Statistical mechanics 31
Conformation of random polymers John Schotland 11-Apr-90 Bellcore materials Polymers Statistical mechanics 31
Terminally attached polymer chains Sanjay S. Patel 28-Sep-90 AT&T materials Polymers, adhesion promotion and prevention Field theory 38
Stress-assisted diffusion in glassy polymers Kenneth N. Morman 8-Nov-91 Ford materials Polymers Continuum mechanics 49
Kinetic swelling of crosslinked polymer Giuseppe Rossi 22-Nov-91 Ford materials Polymers, swollen rubber Continuum mechanics 49
Ideal forming theory Russell L. Mallet 7-Feb-92 Alcoa materials Metal forming Continuum mechanics 49
Predicting properties of composite materials L. Craig Davis 14-Feb-92 Ford materials Composite materials Continuum mechanics 49
A statistical dynamic theory of glassy polymers T. S. Chow 8-Jan-93 Xerox materials Polymers Statistical dynamics 57
Local flaws in permeation reducing barrier layers Giuseppe Rossi 5-Mar-93 Ford materials Plastic fuel tanks Fluid mechanics 57
Wetting and adsorption at chemically heterogeneous surfaces Yitzhak Shnidman 13-May-93 Eastman Kodak materials Wetting of surfaces Statistical mechanics 57
Coping with complex boundaries Jack F. Douglas 15-Apr-94 NIST materials Boundary phenomena Probability 67
A short random walk through polymer material behavior Dennis Perchak 29-Apr-94 Eastman Kodak materials Polymers Probability 67
A mathematical model of a crystallizer David S. Ross 7-Oct-94 Eastman Kodak materials Abrasives PDE 83
Micromechanics effects in creep metal-matrix composites L. Craig Davis 2-Dec-94 Ford materials Metal creep Continuum mechanics 83
Failure times in metal lines Leonard Borucki 17-Mar-95 Motorola materials Metal failure in chips Continuum mechanics 83
A diffusion model of droplet absorption Larry Carson 3-Nov-95 3M materials Drying times Fluid mechanics 88
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
Stress-induced warpage in micro-accelerometers Gary Li 17-Jan-97 Motorola materials Micro-Electro Mechanical Systems Elasticity theory, PDE 100
Mass transport and adsorption in particle-loaded beds Tom Hoffend 21-Feb-97 3M materials water purification, respirators, etc. Fluid mechanics 100
Simulation of production metal cutting processes Troy D. Marusich 25-Apr-97 Third Wave Systems materials Metal cutting Continuum mechanics 100
Unresolved mathematical issues in coating flow mechanics Stephan Kistler 30-Oct-87 3M mechanics and fluid mechanics Coating flows fluid mechanics 16
Some fluid mechanics problems in U.K. industry John Ockendon 15-Jan-88 U.K. industry mechanics and fluid mechanics Turbine blades,fiber optics,ship slamming Fluid mechanics 16
Phase change problems with void George Wilson 19-Feb-88 Oak Ridge National Laboratory mechanics and fluid mechanics Thermal energy storage PDE 16
The stability of rapid stretching plastic jets Louis A. Romero 15-Apr-88 Sandia National Laboratories mechanics and fluid mechanics Plastic jets Fluid mechanics, PDE 16
The mathematical treatment of cavitation in elastohydrodynamic lubrication Edward Bissett 29-Apr-88 General Motors mechanics and fluid mechanics Lubrication Fluid mechanics 16
The smallest scale for incompressible Navier-Stokes equations Luis G. Reyna 20-May-88 IBM mechanics and fluid mechanics Incompressible flow Fluid mechanics 16
Foam Rheology Andrew Kraynik 26-Oct-88 SANDIA mechanics and fluid mechanics Foams PDE 24
Shaped charge jets and subsonic free--surface flow theory Allen C. Robinson 19-May-89 Sandia National Laboratories mechanics and fluid mechanics Armor penetration Fluid mechanics 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
Current-voltage relations for electrolytic solutions Daniel Baker 20-Apr-90 General Motors mechanics and fluid mechanics Electrolytic solutions Fluid mechanics 31
Linear analysis of megastructures Carl A. Nelson 16-Apr-91 Alliant Techsystems mechanics and fluid mechanics Drift of tall buildings Elasticity theory, PDE 38
Aerodynamic design with cfd Gary S. Strumolo 3-May-91 Ford mechanics and fluid mechanics Vehicle aerodynamics Computational fluid dynamics 38
Averaged equations for layered and blocky media Boris A. Shoykhet 3-Apr-92 Lord Corporation mechanics and fluid mechanics Underground construction Elasticity theory, PDE 49
Brownian dynamics simulations of colloidal dispersion Dennis R. Perchak 24-Apr-92 Eastman Kodak mechanics and fluid mechanics Colloidal dispersions Probability 49
Modeling the performance of a piezoelectric gyroscope W. Weston Meyer 13-Nov-92 General Motors mechanics and fluid mechanics Piezoelectric gyroscopes Linear elasticity 57
Particle simulations for xerographic development Meng H. Lean 19-Nov-92 Xerox mechanics and fluid mechanics Color photocopying Fluid mechanics 57
Computer simulations of electrorheological fluids Kenneth C. Hass 19-Feb-93 Ford mechanics and fluid mechanics Electrorheological fluids, automotive products Fluid mechanics 57
Fluid and kinetic modeling for micromechanical structures Daniel N. Koury Jr 19-May-93 Motorola mechanics and fluid mechanics Semiconductor devices Fluid mechanics 57
Crack propagation modeling Leonard J. Gray 15-Oct-93 Oak Ridge National Laboratory mechanics and fluid mechanics Crack propagation, fracture damage Integral equations 67
Modeling of electrostatic bell sprayers Kevin R. J. Ellwood 5-Nov-93 Ford mechanics and fluid mechanics Electrostatic painting Fluid mechanics 67
Interdisciplinary computational fluid dynamics Wendell H. Mills 23-Sep-94 Engineering Computer Corporation mechanics and fluid mechanics Oil refinery Computational fluid dynamics 83
Fluid flow in a porous medium John Hamilton 24-Feb-95 Eastman Kodak mechanics and fluid mechanics Blood testing Fluid mechanics 83
The element-free Galerkin method in large deformations Stephen Beissel 28-Apr-95