
Mathematical Modelling and Scientific Computation
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Content
- Title
- Preface
- Organization
- Table of Contents
- Mathematical Modelling
- Degree of Approximation of Function f ? H(w)p Class in Generalized H¨older Metric by Matrix Means
- Introduction
- Known Results
- Main Result
- Lemmas
- Proof of Theorem 6
- Corollaries
- References
- Angle Change of Plane Curve
- Basic Concepts and Properties
- A Sufficient Condition
- Construction of Angle Change Function
- References
- On Faintly SP-? (Semi-Pre-?)-Continuous Functions
- Introduction
- Preliminaries
- Characterizations of Faintly SP-?(Semi-Pre-?)-Continuous Functions
- Comparison of Some Functions
- Some Basic Properties
- References
- On e-Closed Spaces and ?-e-Continuous Functions
- Introduction
- Preliminaries
- e-Closed Spaces
- Characterizations ?-e-Continuous Functions
- Some Basic Properties of ?-e-Continuous Functions
- Separation Axioms
- Comparison of Some Functions
- Graphs of ?-e-Continuous Functions
- References
- On ?-e-Irresolute Functions
- Introduction
- Preliminaries
- Characterizations of ?-e- Irresolute Functions
- Graphs of ?-e-Irresolute Functions
- References
- On the Strictness of a Bound for the Diameter of Cayley Graphs Generated by Transposition Trees
- Introduction
- Notations and Prior Work
- Summary of Our Results
- Strictness of the Diameter Upper Bound
- Concluding Remarks
- References
- Power Graphs of Finite Groups of Even Order
- Introduction
- Properties of G(Dn) and G(Sn)
- Power Graphs of Non-commutative Groups of Order Up to 14
- References
- Global Vertex-Edge Domination Sets in Total Graph and Product Graph of Path Pn Cycle Cn
- Introduction
- Global Vertex-Edge Domination
- Cartesian Product
- Total Graph
- Concatenation of Graphs
- Cartesian Product of Graphs
- Global v-e Domination of Total Graph
- Conclusion
- References
- Incomparability Graphs of Lattices
- Introduction
- Properties of '(L)
- Properties of Some Special Graphs
- References
- A New Characterization of Paired Domination Number of a Graph
- Introduction
- Main Result
- References
- Coding the Vertices of a Graph with Rosenbloom-Tsfasman Metric
- Introduction
- Codability of Graphs with RT Metric
- Comparison with the Hamming Metric Case
- References
- Application of Fuzzy Programming Method for Solving Nonlinear Fractional Programming Problems with Fuzzy Parameters
- Introduction
- Model Formulation
- Construction of Membership Functions
- QFGP Problem Formulation
- Linearization Technique for QFGP Model
- A Numerical Example
- Result and Discussion
- Conclusions and Scope for Future Studies
- References
- Solving Bottleneck Bi-criteria Transportation Problems
- Introduction
- Preliminaries
- Block-Dripping Method
- Numerical Example
- Conclusion
- References
- A Fuzzy Goal Programming Approach for Fuzzy Multiobjective Stochastic Programming through Expectation Model
- Introduction
- Problem Formulation
- Fuzzy E-Model of Objective Function
- FP Model Formulation
- Construction of FGP Model
- Numerical Example
- Conclusions
- References
- Economic Order Quantity for Fuzzy Inventory Model without or with Shortage
- Introduction
- Fuzzy Numbers
- Fuzzy Differentiation
- Inventory Models
- Fuzzy Inventory Model without Shortage
- Fuzzy Inventory Model with Shortage
- Conclusions
- References
- Improvement of Quality with the Reduction of Order Processing Cost by Just-In-Time Purchasing
- Introduction
- Literature Review
- Notations and Assumptions
- Notations
- Assumptions
- Mathematical Model
- Modeling Framework
- Solution Procedure
- Algorithm
- Numerical Example
- Conclusion
- References
- Using Genetic Algorithm to Goal Programming Model of Solving Economic-Environmental Electric Power Generation Problem with Interval-Valued Target Goals
- Introduction
- Problem Formulation
- Description of Interval-Valued Goals
- Construction of Flexible Goals
- Construction of Regret Function for Goal Achievement
- Model Formulation of EEPD Problem
- General EEPD Problems
- Description of Interval-Valued Goals
- Design of GA Scheme
- A Demonstrative Case Example
- Conclusions
- References
- Using Fuzzy Goal Programming for Long-Term Water Resource Allocation Planning in Agricultural System: A Case Study
- Introduction
- FP Problem Formulations
- Construction of Membership Goals of Fuzzy Goals
- FGP Model Formulation
- Farm Planning Problem Formulation
- Definition of Decision Variables and Resource Parameters
- Description of Productive Resource Goals and Constraints
- An Illustrative Example: A Case Study
- Water Supply Goals and Constraints
- Land Utilization Constraints
- Farm Management Goals
- Conclusion
- References
- Dynamics of Julia Sets for Complex Exponential Functions
- Introduction
- Preliminaries
- Escape Criterion for Exponentials
- Algorithm to Generate Graphical Images of Julia Set
- Experimental Study Using Ishikawa Iteration
- Bifurcation Analysis
- Conclusions
- References
- Dynamics of Density-Dependent Closure Term in a Simple Plankton Model
- Introduction
- Stability Analysis
- Parameter Estimation for the Parameters and k3
- Numerical Investigation
- Bifurcation over Parameter
- Bifurcation over Parameter at Distinct Value of N0
- Discussions
- References
- Crisis-Limited Chaotic Dynamics in an Eco-epidemiological System of the Salton Sea
- Introduction
- Assumptions and Eco-epidemiological Model System
- Numerical Simulation Results
- Discussions and Conclusions
- References
- Delay-Dependent Stability Criteria for Uncertain Discrete-Time Lur'e Systems with Sector-Bounded Nonlinearity
- Introduction
- System Description and Problem Formulation
- Main Result
- Robust Stability Criteria
- Numerical Example
- Conclusion
- References
- Temporally Dependent Solute Dispersion in One-Dimensional Porous Media
- Introduction
- Mathematical Model and Analytical Solutions
- Uniform Input Source
- Increasing Input Source
- Numerical Examples and Discussion
- Conclusions
- References
- Instabilities and Patterns in Zooplankton-Phytoplankton Dynamics: Effect of Spatial Heterogeneity
- Introduction
- The Mathematical Model
- Spatiotemporal Model and Its Linear Stability Analysis
- Numerical Simulation
- Discussions and Conclusions
- References
- A Method for Estimating the Lyapunov Exponents of Chaotic Time Series Corrupted by Random Noise Using Extended Kalman Filter
- Introduction
- Methodology
- The Extended Kalman Filter
- Weight Estimation of Artificial Neural Network Using EKF
- Calculation of Lyapunov Exponents
- Results and Discussion
- Conclusions
- References
- Direct Delay Decomposition Approach to Robust Stability on Fuzzy Markov-Type BAM Neural Networks with Time-Varying Delays
- Introduction
- Problem Formulation and Preliminaries
- Stability Analysis
- Numerical Example
- Conclusion
- References
- Robust Stabilization Results for TS Fuzzy Nonlinear Stochastic Systems with Discrete and Distributed Time Delays
- Introduction
- Problem Formulation and Preliminaries
- State Feed Back
- Numerical Example
- Conclusion
- References
- Robust Passivity of Fuzzy Cohen-Grossberg Neural Networks with Time-Varying Delays
- Introduction
- Problem Formulation and Preliminaries
- Main Results
- Numerical Simulation
- References
- Asymptotic Stability Criterion for Fuzzy Recurrent Neural Networks with Interval Time-Varying Delay
- Introduction
- Problem Description and Preliminaries
- Main Results
- Numerical Example
- Conclusion
- References
- Stability of Uncertain Reaction-Diffusion Stochastic BAM Neural Networks with Mixed Delays and Markovian Jumping Parameters
- Introduction
- Model Descriptions
- Preliminaries
- Main Result
- Example
- Conclusion
- References
- Controllability of Semilinear Evolution Differential Systems in a Separable Banach Space
- Introduction
- Preliminaries
- Controllability Result
- References
- Approximate Controllability of Fractional Stochastic Integral Equation with Finite Delays in Hilbert Spaces
- Introduction
- Preliminaries
- Approximate Controllability
- Conclusion
- References
- Controllability of Semilinear Dispersion Equation
- Introduction
- Preliminaries and Basic Assumption
- Main Results
- References
- Estimation of Controllable Initial Fuzzy States of Linear Time-Invariant Dynamical Systems
- Introduction
- Preliminaries
- Main Results
- Fuzzy-Controllability
- Examples
- References
- Fuzzy Modelling of S-Type Microbial Growth Model for Ethanol Fermentation Process and the Optimal Control Using Simulink
- Introduction
- Materials and Methods
- Fuzzy Optimal Control Problem
- Solution of MRDE
- Simulink Method
- Numerical Examples
- Conclusions
- References
- A Search for the Correlation Coefficient of Triangular and Trapezoidal Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making
- Introduction
- Basic Concepts of Intuitionistic Fuzzy Sets (IFSs)
- Correlation Coefficient of Triangular and Trapezoidal Intuitionistic Fuzzy Sets
- Aggregation Operators for Decision Making
- Proposed Method for the Decision Making Problem
- Numerical Illustration
- Conclusion
- References
- A Method for Reduction of Fuzzy Relation in Fuzzy Formal Context
- Introduction
- Fuzzy Formal Concept Analysis
- Proposed Method
- Illustration
- Conclusion
- References
- High-Order Method for a Singularly Perturbed Second-Order Ordinary Differential Equation with Discontinuous Source Term Subject to Mixed Type Boundary Conditions
- Introduction
- Solution Decomposition and Mesh Discretization
- Hybrid Difference Scheme (HDS)
- Error Estimates of Solution and Its Derivative
- Numerical Experiments
- References
- A Numerical Method for a Class of Linear Fractional Differential Equations
- Introduction
- Fractional Derivatives
- Preliminaries
- Numerical Approximation
- Trapezoidal Method
- Derivation of the Method
- Numerical Examples
- Example
- Example
- Conclusion
- References
- Oscillation of Second Order Nonlinear Ordinary Differential Equation with Alternating Coefficients
- Introduction
- Main Results
- Example 1
- References
- A Crack Arrest Study for Piezo-Electro-Magnetic Media under Mechanical, Electric and Magnetic Small-Scale-Yielding
- Introduction
- Fundamental Formulation
- Methodology
- The Problem
- The Solution of the Problem
- Case (i) When Saturation Zone Exceeds the Developed Zones nes ( d & c & b )
- Case (ii) When Developed Saturation and Induction Zones Are of EqualLengths (c=d &b)
- Case Study
- Conclusions
- References
- Solution and Stability of n-Dimensional Quadratic Functional Equation
- Introduction
- General Solution
- Stability Results
- References
- Monotone Iterative Scheme for System of Riemann-Liouville Fractional Differential Equations with Integral Boundary Conditions
- Introduction
- Preliminaries
- Main Results
- References
- Scientific Computation
- Some New Fractional Difference Inequalities
- Introduction
- Notations and Terminology
- Main Results
- Application
- References
- SaddleSURF: A Saddle Based Interest Point Detector
- Introduction
- Related Works
- Interest Point Detection
- Scale Space Images
- Deep Structure
- Saddle Interest Points
- Finding Saddle Points
- Finding Saddle Maxima Points
- SURF Descriptor
- Experiments and Results
- Image Blur
- Image Scale Change and Rotation
- View Point Variation
- Illumination Changes
- JPEG Compression
- Panorama Stitching
- Conclusion and Discussion
- References
- Modified Color Layout Descriptor for Gradual Transition Detection
- Introduction
- The Proposed Method
- Feature Extraction
- Similarity Metric
- Gradual Transition Identification
- Experimental Results and Discussions
- Conclusions
- References
- Personal ID Image Normalization Using ISO/IEC 19794-5 Standards for Facial Recognition Improvement
- Introduction
- ISO/IEC 19794-5 Standards for Digital Image Attributes
- Basic Image
- Frontal Image
- Pose Angles
- Normalization of Personal ID Image to Token Frontal
- Pre-processing
- Face Detection
- Eye Location
- Eye Localization
- Roll Angle Alignment
- Interpupillary Distance Adjustment
- Token Frontal Image Segmentation
- Experimental Results
- Conclusion
- References
- Skull Stripping Based on Clustering and Curve Fitting with Quadratic Equations
- Introduction
- Basic Principles Used in Skull Stripping
- Clustering
- K-Mean (KM) Algorithm
- The Proposed Method
- Fixing the Edges
- Extraction of the Brain Portion in the Middle Slice
- Results and Discussions
- Conclusions
- References
- Modified Otsu Thresholding Technique
- Introduction
- Thresholding Technique
- Results and Discussions
- Conclusion
- References
- A Brain Extraction Method Using Contour and Morphological Operations
- Introduction
- Methods Used
- Thresholding
- Head Contour
- Head Mask
- Rough Brain Region
- Connected Components
- Results and Discussion
- Conclusion
- References
- Image Data Hiding in Images Based on Interpolative Absolute Moment Block Truncation Coding
- Introduction
- Absolute Moment Block Truncation Coding
- Interpolative AMBTC Method (IAMBTC)
- Proposed Data Hiding Method
- Results and Discussion
- Conclusion
- References
- A Novel Self Initiating Brain Tumor Boundary Detection for MRI
- Introduction
- Methods
- Extended Maxima (ExM) Transform
- Parametric Deformable Model (Snakes)
- Geometric Deformable Model (Level Set Function)
- Distance Regularized Level Set Evolution (DRLSM)
- Williams Index
- Results and Discussions
- Conclusion
- References
- An Integrated Framework for Mixed Data Clustering Using Growing Hierarchical Self-Organizing Map (GHSOM)
- Introduction
- Methodology
- Modified Self-Organizing Map
- Growing Hierarchical Self-Organizing Map (GHSOM)
- Training Algorithm
- Extended Attribute-Oriented Induction
- Experimental Results
- Conclusion
- References
- Design of Efficient Objective Function for Stochastic Search Algorithm
- Introduction
- System Overview
- Proposed Method
- Cross over and Mutation Process
- Algorithm for N Queen Problem
- Analysis of Experimental Results
- Conclusion
- References
- Mining of Quantitative Association Rule on Ozone Database Using Fuzzy Logic
- Introduction
- Related Work
- Design Concept for Mining Fuzzy Association Rules
- Architecture of the Proposed System
- Dataset Used
- Measures Used
- Algorithmic Design Concept
- Search Tree Technique
- Experimental Analysis
- Analysis of Search Space Complexity
- Conclusion and Future Work
- References
- JNLP Based Secure Software as a Service Implementation in Cloud Computing
- Introduction
- Background
- Preliminaries and Design
- Java Network Launching Protocol
- Proposed Method
- Secure JNLP Real Time Implementation and Performance Evaluation
- Conclusion
- References
- Inter-journal Citations and Ranking Top Journals in Financial Research
- Introduction
- Data and Methodology
- Inter-journal Citation Patterns: 1990-2006
- Financial Management
- Journal of Banking and Finance
- Journal of Business
- Journal of Finance
- Journal of Financial Economics
- Journal of Financial and Quantitative Analysis
- Review of Financial Studies
- Concluding Remarks
- References
- A Key Sharing Scheme over GF(25) to Use in ECC
- Introduction
- Mathematical Background
- The Finite Field GF(2m)
- Elliptic Curves over GF(2m)
- The Finite Field GF(25) Arithmetic Operations
- A Vector Space Secret Sharing Scheme
- A Publicly Verifiable Vector Space Secret Sharing Scheme
- Dealing Sub Key
- Key Recovery
- Key Verification
- Update of Secret Key
- Conclusion
- References
- Construction of Highly Nonlinear Plateaued Resilient Functions with Disjoint Spectra
- Introduction
- Preliminaries
- Main Results
- Conclusion
- References
- An Extended RELIEF-DISC for Handling of Incomplete Data to Improve the Classifier Performance
- Introduction
- Review of the Previous Work
- RELIEF-DISC
- Proposed System
- Imputation Using Discretization
- Pseudocode for Extended RELIEF-DISC
- Experimental Analysis
- Conclusion and Discussion
- References
- Prime Factorization without Using Any Approximations
- Introduction
- Overview of Existing Prime Factorization Methods
- Trail and Error Method
- Fermat's Method
- Euler's Method
- Recent Factorization Methods
- The Proposed Prime Factorization Method
- Program for Proposed Method
- Numerical Examples
- Disadvantages of Factorization Algorithm Based on Square Root Approximation
- The Major Advantages of the Proposed Method
- Conclusion
- References
- Coding and Capacity Calculation for the T -User F-Adder Channel
- Introduction
- Preliminary Ideas
- Coding for the Noisy T-User F-Adder Channel
- Capacity Calculation
- Capacity for the Noiseless 2-User F-Adder Channel
- Capacity for the Noisy 2-User F-Adder Channel
- Conclusion
- References
- Author Index
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