Author | Friedman, Avner. author |
---|---|
Title | Mathematics in Industrial Problems [electronic resource] : Part 6 / by Avner Friedman |
Imprint | New York, NY : Springer New York, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8383-3 |
Descript | XVI, 229 p. online resource |
1 Magnetization reversal in particulate recording media -- 1.1 The physical system -- 1.2 The model -- 1.3 Results and open problems -- 1.4 References -- 2 Variable forgetting factors in Kalman filtering -- 2.1 The dynamic Kalman filtering -- 2.2 Variable forgetting factor -- 2.3 Modification of VFF -- 2.4 Applications -- 2.5 References -- 3 Modeling of dopant diffusion networks -- 3.1 Diffusion on networks -- 3.2 Random walks -- 3.3 Effects of grainsโ boundaries -- 3.4 Solution of Problems -- 3.5 References -- 4 Statistical optics and effective medium theories of color -- 4.1 Color -- 4.2 Calculating reflectivity -- 4.3 Effective medium theory (EMT) -- 4.4 Mathematical problems -- 4.5 References -- 5 Amorphous and polysilicon devices -- 5.1 Amorphous semiconductors -- 5.2 A mathematical model -- 5.3 Numerical results -- 5.4 Open problems and partial solution -- 5.5 References -- 6 Modeling the performance of a piezoelectric gyroscope -- 6.1 Vibrating gyroscope -- 6.2 Linear elasticity -- 6.3 Rotating disk -- 6.4 Rotating piezoelectric disk -- 6.5 Approximate solution -- 6.6 References -- 7 Particle simulations for xerographic development -- 7.1 The model -- 7.2 More on the particle motion -- 7.3 Open problems -- 7.4 References -- 8 A statistical dynamic theory of glassy polymers -- 8.1 Glassy state -- 8.2 Viscoelastic relaxation -- 8.3 Strain-stress behavior -- 8.4 Composite modulus -- 8.5 Open problems -- 8.6 References -- 9 Simulation of magnetic recording and playback processes -- 9.1 Magnetic tape and the recording process -- 9.2 Model of the record process -- 9.3 Record model implementation -- 9.4 The playback process -- 9.5 Open issues -- 9.6 References -- 10 Sunglitter in oceanic remote detection -- 10.1 Background noise -- 10.2 Signal processing -- 10.3 The model -- 10.4 Model/data comparison -- 11 Computer simulations of electrorheological fluids -- 11.1 Modeling ER fluids -- 11.2 Bulk polarization model -- 11.3 Numerical results -- 11.4 Optical probing -- 11.5 Areas for future work -- 11.6 References -- 12 Local flaws in permeation reducing barrier layers -- 12.1 Fluorinated fuel tanks -- 12.2 Mathematical model -- 12.3 Results for circular holes -- 12.4 Open problems -- 12.5 Partial results -- 12.6 References -- 13 Iterative solution methods on the Cray YMP/C90 -- 13.1 Iterative schemes -- 13.2 Preconditioning strategies -- 13.3 Computational results -- 13.4 References -- 14 Track reconstruction and data fusion -- 14.1 Data fusion -- 14.2 Data sources and model selection -- 14.3 Extended Kalman filter and smoothing -- 14.4 References -- 15 Approximation to Boltzmann transport in semiconductor devices -- 15.1 The Boltzmann transport equation -- 15.2 Approximation to B.T.E. -- 15.3 The f0-equation -- 15.4 References -- 16 Systematic data fusion using the theory of random conditional sets -- 16.1 Data fusion algorithms -- 16.2 Bayesian classification -- 16.3 The DempsterโShafer approach -- 16.4 Fuzzy logic -- 16.5 Random sets -- 16.6 Conditional set theory -- 16.7 References -- 17 Micromagnetic simulation -- 17.1 The magnetic head -- 17.2 The magnetic energy in film -- 17.3 The pole tip -- 17.4 Swirl points -- 17.5 References -- 18 Dissolution kinetics with feedback -- 18.1 The model -- 18.2 Fast kinetic limit -- 18.3 Numerical solution -- 18.4 Remarks -- 18.5 References -- 19 Wetting and adsorption at chemically heterogeneous surfaces -- 19.1 Wettability -- 19.2 Wettability on self-assembled monolayers -- 19.3 Mathematical model -- 19.4 References -- 20 Fluid and kinetic modeling for micromechanical structures -- 20.1 Modeling micromechanical structures -- 20.2 Fluid description -- 20.3 Accelerometer -- 20.4 References -- 21 Modeling exhaust-gas oxygen sensors -- 21.1 The sensor -- 21.2 Mathematical model -- 21.3 Open problems -- 21.4 References -- 22 3D modeling of a smart power device -- 22.1 The device -- 22.2 Thermal modeling -- 22.3 Solution to problem (1) -- 23 Solutions to problems from previous parts -- 23.1 Part 1 -- 23.2 Part 3 -- 23.3 Part 5 -- 23.4 References