Ebook: Applied and industrial mathematics in Italy II : selected contributions from the 8th SIMAI Conference : Baia Samuele (Regusa), Italy, 22-26 May 2006

An exposition of part of an important subject which goes under the general name of "inverse problems". The analogous problem for continuous media has been very much studied, with a great deal of difficult mathematics involved, especially partial differential equations. Some of the researchers working on the inverse conductivity problem for continuous media (the problem of recovering the conductivity inside from measurements on the outside) have taken an interest in the authors' analysis of this similar problem for resistor networks. The authors' treatment of inverse problems for electrical networks is at a fairly elementary level. It should be accessible to advanced undergraduates, and mathematics students at the graduate level. The topics should be of interest to mathematicians working on inverse problems, and possibly to electrical engineers. A few techniques from other areas of mathematics have been brought together in the treatment Numerical Approximation of a BGK-Type Relaxation Model for Reactive Mixtures / A. Aimi, M. Diligenti, M. Groppi, C. Guardasoni 1 -- Energy-Transport Models for Semiconductor Devices and Their Coupling with Electric Networks / G. Ali, M. Carini 13 -- Dimension Reduction for Discrete Systems / R. Alicandro, A. Braides, M. Cicalese 25 -- Rectangular Dualization of Biconnected Planar Graphs in Linear Time and Related Applications / M. Ancona, S. Drago, G. Quercini, A. Bogdanovych 37 -- Remarks on Contact Powers and Null Lagrangian Fluxes / L. Ansini, G. Vergara Caffarelli 49 -- Innovative Financial Products for Environmental Protection in an Evolutionary Context / A. Antoci, M. Galeotti, L. Geronazzo 54 -- Multiplicative Schwarz Algorithms for Symmetric Discontinuous Galerkin Methods / P. F. Antonietti, B. Ayuso 66 -- Topological Calculus: Between Algebraic Topology and Electromagnetic Fields / W. Arrighetti, G. Gerosa 78 -- Deterministic Solution of Boltzmann Equations Governing the Dynamics of Electrons and Phonons in Carbon Nanotubes / Ch. Auer, F. Schurrer, C. Ertler 89 -- Development of Curve-Based Cryptography / R. M. Avanzi 101 -- Model Order Reduction: An Advanced, Efficient and Automated Computational Tool for Microsystems / T. Bechtold, A. Verhoeven, E. J. W. Ter Maten, T. Voss 113 -- A New Finite Element Method for Kirchhoff Plates / L. B. da Veiga, J. Niiranen, R. Stenberg 125 -- A Two-Dimensional Trust-Region Method for Large Scale Bound-Constrained Nonlinear Systems / S. Bellavia, M. Macconi, B. Morini 137 -- An Adaptive Finite Element Semi-Lagrangian Runge-Kutta-Chebychev Method for Combustion Problems / R. Bermejo, J. Carpio 149 -- Active Infrared Thermography in Non-Destructive Evaluation of Surface Corrosion 2: Heat Exchange between Specimen and Environment / P. Bison, M. Ceseri, D. Fasino, G. Inglese 161 -- Lexsegment Ideals and Simplicial Cohomology Groups / V. Bonanzinga, L. Sorrenti 172 -- Nonlinear Electronic Transport in Semiconductor Superlattices / L. L. Bonilla, L. Barletti, R. Escobedo, M. Alvaro 184 -- Biomass Growth in Unsaturated Porous Media: Hydraulic Properties Changes / I. Borsi, A. Farina, A. Fasano, M. Primicerio 196 -- Recovering Trivariate Functions by Data on Tracks / M. Bozzini, M. Rossini 208 -- On the Use of an Approximate Constraint Preconditioner in a Potential Reduction Algorithm for Quadratic Programming / S. Cafieri, M. D'Apuzzo, V. De Simone, D. di Serafino 220 -- Option Hedging for High Frequency Data Models / C. Ceci 231 -- Mathematical Models and Methods in Micro-Nano-Technologies / C. Cercignani, M. Lampis, S. Lorenzani 247 -- A General Model for Wax Diffusion in Crude Oils under Thermal Gradient / E. Comparini, F. Talamucci 259 -- Wax Diffusion and Deposition in the Pipelining of Waxy Oils / S. Correra, D. Merino-Garcia, A. Fasano, L. Fusi 271 -- Inverse Modeling in Geophysical Applications / G. Currenti, R. Napoli, D. Carbone, C. del Negro, G. Ganci 279 -- Proteomic Multiple Sequence Alignments: Refinement Using an Immunological Local Search / V. Cutello, G. Nicosia, M. Pavone, I. Prizzi 291 -- Convergence to Self-Similarity in an Addition Model with Power-Like Time-Dependent Input of Monomers / F. P. da Costa, J. T. Pinto, R. Sasportes 303 -- Living Shell-Like Structures / A. Di Carlo, V. Varano, V. Sansalone, A. Tatone 315 -- Dynamics of Materials with a Deformability Threshold / A. Farina, A. Fasano, L. Fusi, K. R. Rajagopal 327 -- On the Stability of Semi-Lagrangian Advection Schemes under Finite Element Interpolations / R. Ferretti, G. Perrone 339 -- A Method to Test Ballasted High-Speed Railway Tracks / G. Franceschini, A. Garinei 351 -- A Simple Variational Derivation of Slender Rods Theory / L. Freddi, A. Londero, R. Paroni 363 -- Kinetic Models for Nanofluidics / A. Frezzotti 375 -- Thermodynamics of Piezoeletric Media with Dislocations / D. Germano, L. Restuccia 387 -- Estimating the Diffusion Part of the Covariation between Two Volatility Models with Jumps of Levy Type / F. Gobbi, C. Mancini 399 -- Modeling Horizontal Coastal Flows: Assessing the Role of Viscous Contributions / G. Grosso, M. Brocchini, A. Piattella 410 -- Electronic Transport Calculation of Finite Single-Walled Carbon Nanotube Systems in the Two-Terminal Geometry / A. La Magna, I. Deretzis 422 -- Multilevel Gradient Method with Bezier Parametrisation for Aerodynamic Shape Optimisation / M. Martinelli, F. Beux 432 -- Nonlinear Exact Closure for the Hydrodynamical Model of Semiconductors Based on the Maximum Entropy Principle / G. Mascali, V. Romano 444 -- A Thermodynamical Model of Inhomogeneous Superfluid Turbulence / M. S. Mongiovi, D. Jou 456 -- Convergence of Finite Elements Adapted for Weaker Norms / P. Morin, K. G. Siebert, A. Veeser 468 -- ENO/WENO Interpolation Methods for Zooming of Digital Images / R. M. Pidatella, F. Stanco, C. Santaera 480 -- Finite Element Discretizations for the Density Gradient Equation / R. Pinnau, V. J. M. Ruiz 492 -- A Numerical Approach to the Dynamics of Magnetoelastic Materials / F. Pistella, V. Valente 501 -- Constellations of Repeating Satellites for Local Telecommunication and Monitoring Services / M. Pontani 513 -- Monomial Orders in the Vast World of Mathematics / G. Restuccia 525 -- Geometric Multiscale Approach by Optimal Control for Shallow Water Equations / F. Saleri, E. Miglio 537 -- Polar Sitter Mission for Continuous Observation of the Poles / S. Sgubini, S. Porfili, C. Circi 549 -- Phase Equilibria of Polydisperse Hydrocarbons: Moment Free Energy Method Analysis / A. Speranza, F. Dipatti, A. Terenzi 561 -- Optimization of Electronic Circuits / E. J. W. Ter Maten, T. G. A. Heijmen, C. Lin, A. El Guennouni 573 -- Transmission Phenomena Across Highly Conductive Interfaces / L. Teresi, E. Vacca 585 -- Some Exact Formulas for the Post-Gelation Mass of the Coagulation Equation with Product Kernel / H. Van Roessel, M. Shirvani 597 -- Motif Discovery Fixing Mismatch Positions / M. Zantoni, A. Policriti, E. Dalla, C. Schneider 609