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Recent Advances in Industrial and Applied Mathematics.

Bibliographic Details
Main Author: Chacón Rebollo, Tomás.
Other Authors: Donat, Rosa., Higueras, Inmaculada.
Format: eBook
Language:English
Published: Cham : Springer International Publishing AG, 2022.
Edition:1st ed.
Series:SEMA SIMAI Springer Series
Subjects:
Electronic books.
Online Access:Click to View
Table of Contents:
  • Intro
  • Foreword
  • Preface
  • ICIAM Congresses
  • ICIAM Prize Winners
  • Organization of ICIAM 2019-Valencia
  • Opening Ceremony
  • Maria J. Esteban, President of ICIAM
  • ICIAM 2019 in Numbers
  • Contents
  • Editors and Contributors
  • Invited Lectures
  • Asteroid-Generated Tsunamis: A Review
  • 1 Introduction
  • 2 Simulations of Airburst-Generated Tsunamis
  • 2.1 Background
  • 2.2 Analytical and Computational Results for Shallow Water Equations
  • 3 The Linearized Euler Equations
  • 3.1 Analytical and Computational Results for Linearized Euler
  • 4 Conclusions
  • References
  • Some Case Studies in Environmental and Industrial Mathematics
  • 1 Introduction
  • 2 Environmental Flows. The Shallow Water Equations
  • 3 Gas Network Simulation
  • 3.1 Mathematical Modelling: Homogeneous Gas Flow in a Pipe
  • 3.2 Numerical Solution: One Single Pipe with Homogeneous Gas
  • 3.3 Network with Heterogeneous Gas
  • 3.4 Experimental Validation in a Real Small Network
  • 4 Non-destructive Testing: Magnetic Particle Inspection (MPI)
  • 4.1 Circular Magnetization. Axisymmetric Model
  • 4.2 Hysteresis Modelling
  • 5 Accelerated Simulation of Electric Machines
  • 5.1 Description of the New Methodology
  • 5.2 Numerical Experiments with Real Electric Machines
  • References
  • Modelling Our Sense of Smell
  • 1 Introduction
  • 1.1 Transduction of Olfactory Signals
  • 1.2 Kleene's Experimental Procedure
  • 1.3 An Integral Equation Model
  • 1.4 Non-diffusive Kernels
  • 2 A General Convolution Equation
  • 2.1 A Priori Estimates
  • 3 Observability of CNG Channels
  • 4 Unstable Identifiability, Non Existence of Observability Inequalities
  • References
  • State Estimation-The Role of Reduced Models
  • 1 Introduction
  • 2 Models and Data
  • 2.1 The Model
  • 2.2 The Data
  • 2.3 Optimality Criteria and Numerical Recovery
  • 3 The One-Space Method.
  • 3.1 Subspace Regularization
  • 3.2 Optimal Affine Recovery
  • 3.3 Rate-Optimal Reduced Bases
  • 4 Nonlinear Models
  • 4.1 Piecewise Affine Reduced Models
  • 4.2 Approximate Metric Projection and Parameter Estimation
  • 4.3 Concluding Remarks
  • References
  • Pattern Formation Inside Living Cells
  • 1 Introduction: Motile Cells and Their Inner Workings
  • 1.1 Actin Powers Cell Motility
  • 1.2 GTPases Are Master Regulators
  • 2 Mathematical Models
  • 2.1 How Wave-Pinning Works
  • 3 Recent Work: Analysis, Simulation, and Contact with Experiments
  • 3.1 Analysis of Slow-Fast Reaction Diffusion Systems: LPA
  • 3.2 Simulating the PDEs in Dynamic Cell-Shaped Domains
  • 3.3 Contact with Biological Experiments
  • 4 Extending the Minimal Model
  • 5 Discussion
  • References
  • Private AI: Machine Learning on Encrypted Data
  • 1 Motivation: Privacy in Artificial Intelligence
  • 1.1 Real-World Applications
  • 2 What Is Homomorphic Encryption?
  • 2.1 History
  • 2.2 Lattice-Based Solutions
  • 2.3 Encoding Data
  • 2.4 Brakerski/Fan-Vercauteren Scheme (BFV)
  • 2.5 Other Homomorphic Encryption Schemes
  • 2.6 Microsoft SEAL
  • 2.7 Standardization of Homomorphic Encryption ch6HES
  • 3 What Kind of Computation Can We Do?
  • 3.1 Statistical Computations
  • 3.2 Heart Attack Risk
  • 3.3 Cancer Patient Statistics
  • 3.4 Genomic Privacy
  • 3.5 Machine Learning: Training and Prediction
  • 4 How Do We Assess Security?
  • 5 Conclusion
  • References
  • Mathematical Approaches for Contemporary Materials Science: Addressing Defects in the Microstructure
  • 1 Introduction
  • 1.1 Contemporary Materials Science
  • 1.2 Basics of Homogenization Theory
  • 2 A Mathematical Toolbox for ``Weakly'' Random Problems
  • 2.1 Random Deformations of the Periodic Setting
  • 2.2 Small Random Perturbations of the Periodic Setting
  • 2.3 Rare but Possibly Large Random Perturbations.
  • 3 Deterministic Defects Within an Otherwise Periodic Structure
  • 4 Multi-scale Finite Element Approaches and Nonperiodicity
  • 5 Homogenization Under Partial Information
  • References
  • Hyperbolic Model Reduction for Kinetic Equations
  • 1 Historical Overview
  • 2 Theoretical Framework
  • 2.1 Review of Globally Hyperbolic Moment System
  • 2.2 Hyperbolic Regularization Framework
  • 2.3 Further Progress
  • 3 Numerical Validation
  • 3.1 Shock Structure
  • 3.2 Fourier Flow
  • 3.3 A Summary of Numerical Experiments
  • 4 Conclusion
  • References
  • Cryptography and Digital Transformation
  • 1 Digital Transformation
  • 2 Cryptographic Foundations
  • 2.1 Encryption Schemes
  • 2.2 Digital Signature Schemes
  • 2.3 Interactive Proofs
  • 3 Digitalizing Voting
  • 3.1 Requirements for Voting
  • 3.2 Designing Voting Protocol
  • 3.3 Shuffling Encrypted Data Using Probabilistic Encryption
  • 4 Bitcoin Blockchain
  • 4.1 Modeling Blockchain
  • 4.2 Crypto Puzzle for Synchronization
  • 4.3 Incentives for Data Managers
  • 5 Concluding Remarks
  • References
  • Efficient Algorithms for Tracking Moving Interfaces in Industrial Applications: Inkjet Plotters, Electrojetting, Industrial Foams, and Rotary Bell Painting
  • 1 Modeling Interface Evolution Using Level Set Methods
  • 1.1 Equations of Motion
  • 1.2 Computational Advances
  • 2 Industrial Printing
  • 2.1 Physical Problem and Modeling Goals
  • 2.2 Equations of Motion and Computational Challenges
  • 3 Droplet Formation and Electro-jetting
  • 3.1 Physical Problem and Modeling Goals
  • 3.2 Equations of Motion
  • 3.3 Computational Challenges
  • 3.4 Example Results
  • 3.5 Charged Droplet Separation
  • 3.6 Equations of Motion and Computational Challenges
  • 3.7 Example Results
  • 4 Industrial Foams
  • 4.1 Physical Problem and Modeling Goals
  • 4.2 Computational Challenges
  • 4.3 Voronoi Implicit Interface Methods.
  • 4.4 Application of VIIM to Foam Dynamics
  • 4.5 Example Results
  • 5 Rotary Bell Painting in the Automotive Industry
  • 5.1 Computational Challenges
  • 5.2 Level Set Methods and High-Order Multiphase Flow
  • 6 Conclusions and Summary
  • References
  • Numerical Study for Blood Flows in Thoracic Aorta
  • 1 Introduction
  • 2 Numerical Methods and Results
  • 2.1 Governing Equations
  • 2.2 Finite Difference Approximation
  • 2.3 Finite Element Approximation
  • 3 Conclusions
  • References
  • An Iterative Thresholding Method for Topology Optimization for the Navier-Stokes Flow
  • 1 Introduction
  • 2 Derivation of the Method
  • 2.1 The Mathematical Model
  • 2.2 The Relaxation and Approximation of the Problem
  • 2.3 Derivation of the Method
  • 3 Numerical Implementation
  • 4 Numerical Experiments
  • 4.1 Two Dimensional Results
  • 4.2 Three Dimensional Results
  • 5 Conclusion
  • References
  • Dynamics of Complex Singularities of Nonlinear PDEs
  • 1 Introduction
  • 2 The Inviscid Burgers Equation
  • 3 The Viscous Burgers Equation
  • 4 The Benjamin-Ono Equation
  • 5 The Korteweg-De Vries Equation
  • 6 Recurrence
  • 7 Numerical Tools
  • References
  • Author Index.

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