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The Resource Mathematical Models, Methods and Applications

Mathematical Models, Methods and Applications

Label
Mathematical Models, Methods and Applications
Title
Mathematical Models, Methods and Applications
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Industrial and Applied Mathematics Ser
Mathematical Models, Methods and Applications
Label
Mathematical Models, Methods and Applications
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4202062
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface -- Acknowledgments -- Contents -- About the Editors -- Summary -- Dr. Zakir Husain Memorial Lecture -- Smarter Societies: Cyber Physical System -- 1 Cryptography-Based Chaos via Geometric Undersampling of Ring-Coupled Attractors -- Abstract -- 1.1 Introduction -- 1.2 Recovering Chaotic Properties of Numerically Computed Chaotic Numbers -- 1.2.1 Numerical Approximation of Chaotic Numbers -- 1.2.2 Very Long Periodic Orbits for Ultra-weakly Coupled Tent Map -- 1.2.2.1 Two-Coupled Symmetric Tent Map -- 1.2.2.2 P-Coupled Symmetric Tent Map -- 1.2.2.3 Computation of Approximated Invariant Measure -- 1.3 The Route from Chaos to Pseudo-Randomness via Chaotic Undersampling -- 1.3.1 Chaotic Undersampling -- 1.3.2 Chaotic Mixing -- 1.3.3 Enhanced Chaotic Undersampling -- 1.3.4 A Window of Emergence of Randomness -- 1.4 Geometric Undersampling -- 1.4.1 Pseudo-Random Numbers Generated by Ring-Coupled Mapping -- 1.4.2 Ring Coupling of Two-Dimensional Symmetric Tent Map -- 1.4.2.1 Critical Lines -- 1.4.2.2 Markov Partition of the Square -- 1.4.2.3 Exact Computation of Invariant Measure Associated to M2 -- 1.4.3 Geometric Undersampling -- 1.4.3.1 Algorithm of Geometric Undersampling -- 1.4.3.2 Numerical Tests -- 1.5 Noise-Resisting Ciphering -- 1.5.1 Ciphering Principle -- 1.5.2 Transmission Principle -- 1.5.3 Decoding Principle -- 1.5.4 Numerical Illustration -- 1.6 Conclusion -- References -- 2 Soft Computing Techniques and Their Applications -- Abstract -- 2.1 Introduction -- 2.2 Wavelet Analysis -- 2.3 Generalized Neural Network -- 2.4 Adaptive GA with Fuzzy System (GA-F) -- 2.5 Short-Term Load Forecasting Using Generalized Neural Network-Wavelet-Genetic Algorithm-Fuzzy System (GNN-W-GA-F) -- 2.6 Results and Discussions -- 2.7 Conclusion -- References -- 3 Integral Geometry and Mathematical Problems of Image Reconstruction -- Abstract
  • 3.1 Introduction -- 3.2 Uniqueness -- 3.3 Inversion -- 3.4 Additional Remarks -- Acknowledgments -- References -- 4 Microlocal Analysis of Some Synthetic Aperture Radar Imaging Problems -- Abstract -- 4.1 Introduction -- 4.2 The Linearized Scattering Model -- 4.3 Common Offset SAR -- 4.3.1 Transmitter and Receiver in a Linear Trajectory -- 4.3.2 Image Reconstruction -- 4.4 Common Midpoint SAR -- 4.4.1 Preliminary Modifications on the Scattered Data -- 4.4.2 Analysis of the Operator {{\cal F}}_{cm} -- 4.4.3 Analysis of the Normal Operator {{\cal F}}_{cm}{̂*} {{\cal F}}_{cm} -- Acknowledgments -- References -- 5 Cubic Spline Approximation for Two-Dimensional Nonlinear Elliptic Boundary Value Problems -- Abstract -- 5.1 Introduction -- 5.2 Derivation of the Method -- 5.3 Application to Singular Problems -- 5.4 Numerical Illustrations -- 5.5 Conclusion and Observations -- References -- 6 Pricing of Path-Dependent European-Type Options Using Monte Carlo Simulation -- Abstract -- 6.1 Introduction -- 6.2 Model for Asset Price and Options -- 6.3 Pricing of Options Using Monte Carlo Simulation -- 6.4 Results and Discussion -- References -- 7 On the Finite Element Approximation of the Impulse Control Quasivariational Inequality -- Abstract -- 7.1 Introduction -- 7.2 Background -- 7.2.1 Assumptions and Definitions -- 7.2.2 Continuous Variational Inequality -- 7.2.3 Discrete Variational Inequality -- 7.3 The Impulse Control QVI -- 7.3.1 The Continuous QVI -- 7.3.2 The Discrete QVI -- 7.4 The Finite Element Error Analysis -- 7.4.1 The Discrete Regularity -- 7.4.2 Construction of Subsolutions -- References -- 8 The Periodic Petrol Station Replenishment Problem: An Overview -- Abstract -- 8.1 Introduction -- 8.2 Modeling Aspects Related to the PPSRP -- 8.2.1 Classification of the PPSRP -- 8.2.2 Periodicity Schedules Definition -- 8.2.2.1 Predetermined Schedules
  • 8.2.2.2 Periodic Schedules -- 8.2.2.3 Multi-stage Network-Based Schedules -- 8.3 Mathematical Formulations -- 8.3.1 PVRP Versus PPSRP -- 8.3.2 Optimization Model -- 8.3.3 Solution Approaches -- 8.4 Conclusions -- References -- 9 Nanotechnology and Mathematics S̀̀tudy of Non-linear Dynamic Vibration in Single Walled Carbon Nanotubes (SWNTs)'' -- Abstract -- 9.1 Introduction -- Acknowledgments -- References -- 10 Generalized Monotone Mappings with Applications -- Abstract -- 10.1 Introduction -- 10.2 H(2219,2219)-Cocoercive Mapping -- 10.3 Generalized Variational Inclusions -- 10.4 System of Variational Inclusions -- 10.5 H(2219,2219)- eta -Cocoercive Mapping -- 10.6 Variational-Like Inclusions -- 10.7 Generalized Variational-like Inclusions -- References -- 11 Wavelet and Fractal Methods with Environmental Applications -- Abstract -- 11.1 Introduction -- 11.2 Methodology -- 11.2.1 Hurst Exponent (H) -- 11.2.2 Fractal Dimension (D) -- 11.2.3 Predictability Index (PI) -- 11.3 Results and Discussion -- 11.3.1 Air Pollutants -- 11.3.2 Time Series of Air Pollution Parameters -- 11.3.3 Water Pollutants -- 11.4 Conclusion -- Acknowledgments -- References -- 12 A Novel Algorithm by Context Modeling of Medical Image Compression with Discrete Wavelet Transform -- Abstract -- 12.1 Introduction -- 12.2 The Wavelet Transform-Based Coding -- 12.2.1 The Discrete Wavelet Transform -- 12.2.2 Algorithm for Wavelet-Based Coding -- 12.3 Selection Criterion of the Contextual Region -- 12.3.1 Interactive Approach -- 12.3.2 The Mathematical Approach -- 12.3.3 Segmentation Approach -- 12.3.3.1 Region-Based Segmentation -- 12.4 The Region of Interest (ROI) Coding Schemes -- 12.4.1 Generation of ROI Mask -- 12.4.2 EBCOT Coding -- 12.4.3 The General Scaling-Based Method -- 12.4.4 The Maxshift Method -- 12.4.5 Implicit ROI Coding
  • 12.5 The Proposed Context Based DWT (CBDWT) Compression Method -- 12.5.1 The Basic Steps of the Proposed CBDWT Algorithm -- 12.5.2 Image Quality Metrics (IQM) Indices -- 12.6 Results and Discussion -- 12.7 Conclusions -- References -- 13 Srinivasa Ramanujan: A Creative Genius -- Abstract -- 13.1 Introduction -- 13.2 CD ROMs on the Life and Work of Srinivasa Ramanujan -- Acknowledgments -- 14 Estimation of Longitudinal Diffusivity in Laminar/Turbulent Flow Through Curved Channels with Absorbing Boundaries Using Method of Moments -- Abstract -- 14.1 Introduction -- 14.2 Mathematical Formulation -- 14.2.1 Steady Laminar Flow in Curved Channel -- 14.2.2 Turbulent Flow in Shallow Curved Channel -- 14.2.3 Longitudinal Diffusivity Using Method of Moments -- 14.3 Numerical Scheme -- 14.4 Results and Discussion -- 14.4.1 Longitudinal Dispersion Coefficient Da in Laminar Flow -- 14.4.2 Longitudinal Dispersion Coefficient Da in Turbulent Flow -- 14.5 Conclusion -- References -- 15 Recent Advances in Compressive Sensing -- Abstract -- 15.1 Introduction -- 15.2 Historical Background -- 15.3 Methodology -- 15.4 Applications -- Acknowledgments -- References -- 16 Emergence of Shearlets and Its Applications -- Abstract -- 16.1 Introduction -- 16.1.1 Wavelets and Beyond -- 16.2 Geometric Transformations -- 16.2.1 Euclidean Transformation -- 16.2.2 Affine Transformation -- 16.3 Continuous Shearlet Transform -- 16.3.1 Introduction to Continuous Shearlet Transform -- 16.3.2 Properties of Continuous Shearlet Transform -- 16.3.3 3D Continuous Shearlet Transform -- 16.4 Discrete Shearlet Transform -- 16.4.1 Bandlimited Shearlets (Cartesian Grid) -- 16.4.2 Bandlimited Shearlets (Pseudopolar Grid) -- 16.4.2.1 Pseudopolar Fourier Transform -- 16.4.2.2 Weighting -- 16.4.2.3 Windowing -- 16.4.3 Introduction to Compactly Supported Shearlets
  • 16.4.3.1 Digital Separable Shearlet Transform (DSST) -- 16.4.3.2 Digital Non-separable Shearlet Transform (DNST) -- 16.5 Fast Finite Shearlet Transform -- 16.5.1 Finite Discrete Shearlets -- 16.6 Applications of Shearlets -- 16.6.1 Shearlets for Biomedical Images -- 16.6.2 Shearlets for Image Processing -- 16.6.3 Shearlets for Biometric Applications -- 16.6.4 Shearlets for Inverse Problems -- 16.7 Proposed Work -- 16.8 Implementation Steps -- 16.9 Results -- 16.10 Conclusion -- Acknowledgments -- 17 Application of Wavelets in Numerical Evaluation of Hankel Transform Arising in Seismology -- Abstract -- 17.1 Introduction -- 17.1.1 Hankel Transform -- 17.1.2 Mathematical Background -- 17.1.3 Historical Background of Numerical Transforms Techniques -- 17.1.4 Motivation of Present Work -- 17.2 Preliminaries -- 17.2.1 Wavelets -- 17.3 Function Approximation -- 17.4 Numerical Implementation -- 17.5 Summary and Conclusion -- 17.5.1 Future Work -- References
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{'f': 'http://opac.lib.rpi.edu/record=b4384661'}
Extent
1 online resource (309 pages)
Form of item
online
Isbn
9789812879738
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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