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EB

ONLINE

Cham : Springer International Publishing AG, 2022

1 online resource (276 pages)

ISBN 9783030862367 (electronic bk.)

ISBN 9783030862350

SEMA SIMAI Springer Ser. ; v.1

Print version: Chacon Rebollo, Tomas Recent Advances in Industrial and Applied Mathematics Cham : Springer International Publishing AG,c2022 ISBN 9783030862350

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 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.

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.

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