1 Simulation and modeling of updrain TMOS devices.- 1.1 Applications.- 1.2 Structure of a smart power device.- 1.3 Mathematical models.- 1.4 Solution to problem (1).- 1.5 Partial solution to problem (3).- 1.6 References.- 2 Strategic risk management using stochastic programming.- 2.1 Dynamic programming.- 2.2 Stochastic programming.- 2.3 Bundling.- 2.4 Epiconsistency.- 2.5 Future directions.- 2.6 References.- 3 Discrete fluids using lattice gas methods.- 3.1 Computational aeroacoustics.- 3.2 Lattice gas methods.- 3.3 Hypercubic lattice.- 3.3.1 Aerodynamic studies.- 3.3.2 Acoustic study.- 3.4 Open opportunities.- 3.5 References.- 4 Computer-aided design of developable surfaces.- 4.1 Developable surfaces.- 4.2 Properties of developable surfaces.- 4.3 Developable Bézier surfaces.- 4.4 Open problems.- 4.5 References.- 5 Modeling techniques for computation of coating flows.- 5.1 Coating configuration.- 5.2 The governing equations.- 5.3 Fluid flow in a slot.- 5.4 Inclined boundary.- 5.5 References.- 6 Measuring coalescence rates.- 6.1 The coalescence problem.- 6.2 Introducing chemiluminescent species.- 6.3 Results and open problems.- 6.4 Partial solutions.- 6.5 References.- 7 The light field for diffusely scattering media.- 7.1 The problem.- 7.2 Radiation transfer.- 7.3 Modulation transfer function.- 7.4 Solving for I.- 7.5 Further questions.- 7.6 References.- 8 The changing nature of network traffic analysis and modeling.- 8.1 Motivation.- 8.2 Changes and challenges.- 8.3 Self-similar processes.- 8.4 An example.- 8.5 Open problems.- 8.6 References.- 9 Stress-induced warpage in micro-accelerometers.- 9.1 Micro-accelerometers.- 9.2 Warping in micro-accelerometers.- 9.3 Buckling of micromachined structure.- 9.4 Solution to problem (1).- 9.5 References.- 10 Exchange energy representations in computational micromagnetics.- 10.1 Micromagnetic structure.- 10.2 The Landau-Lifshitz-Gilbert equation.- 10.3 Numerical methods.- 10.4 Open problem.- 10.5 References.- 11 Nonlinear effects in electrorheological fluids.- 11.1 Elect rorheological fluids.- 11.2 An integral equation approach.- 11.3 A time dependent model.- 11.4 Open problems.- 11.5 Solution to problems (1)(2).- 11.6 References.- 12 Modeling of a building cooling system.- 12.1 Cooling systems terminology.- 12.2 A cooling system diagram.- 12.3 Statement of the problem.- 12.4 Dynamic equations.- 12.5 Open problems.- 12.6 References.- 13 Mass transport and adsorption in particle-loaded beds.- 13.1 Adsorption measurements.- 13.2 A mathematical model.- 13.3 A simplified model.- 13.4 Numerical and experimental results.- 13.5 References.- 14 Growth instability in metal electrodeposition.- 14.1 The Hull cell.- 14.2 Model equations.- 14.3 Open problems.- 14.4 References.- 15 Simulation of production metal cutting processes.- 15.1 Metal cutting process.- 15.2 Model equations.- 15.3 Numerical results.- 15.4 References.- 16 Application of inverse scattering to oil field evaluation problems.- 16.1 Extended Born approximation.- 16.2 An inversion approach.- 16.3 Imaging pits in corroded steel casings.- 16.4 References.- 17 Solutions to problems from previous parts.- 17.1 Part 5.- 17.2 Part 7.- 17.3 Part 9.- 17.4 References.