Recent developments in mathematical, statistical and computational sciences : the V AMMCS International Conference, Waterloo, Canada, August 18-23, 2019 / / D. Marc Kilgour [and four others] editors

• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (728 pages)
• Disciplina: 511.8
• Soggetto topico: Mathematical models; Models matemàtics; Estadística; Informàtica
• Soggetto genere / forma: Congressos; Llibres electrònics
• Persona (resp. second.): KilgourD. Marc
• Nota di contenuto: Intro -- Preface -- Contents -- Advances in Mathematical Modelling and Theory -- A Moving Horizon State Estimator for Real-Time Stabilization of a Double Inverted Pendulum -- 1 Introduction -- 2 A Proximal Point Moving Horizon Estimator for Linear Time Invariant Systems -- 2.1 Centered Proximal Point Observer -- 3 Mathematical Model of the Double Inverted Pendulum -- 4 Power Series Stabilization Controller -- 5 Real Time Stabilization of a Double Inverted Pendulum -- References -- Spontaneous Symmetry-Breaking in Deterministic Queueing Models with Delayed Information -- 1 Introduction -- 2 Preliminaries -- 3 Results -- 3.1 Local Stability of the Fully Symmetric Equilibrium -- 3.2 Symmetry-Breaking Hopf Bifurcations -- 3.3 Numerical Simulations -- 4 Summary and Conclusions -- References -- Algebraic Structure of the Varikon Box -- 1 Introduction -- 2 Review of the 15-Puzzle -- 3 Reachable Configurations of the Varikon Box -- 4 Group Structure of the 2 times 2 times 2 Varikon Box -- 5 The A5 and A6 Shortest Word Problem -- 6 Conclusion and Future Work -- References -- A Bestiary of Transformation Semigroups for the Holonomy Decomposition -- 1 Introduction -- 2 The Holonomy Method -- 3 Bestiary of Examples for Image Sets in the Skeleton -- 4 Bestiary of Examples for Holonomy Groups -- 5 Conclusion -- References -- Spatial Iterated Prisoner's Dilemma as a Transformation Semigroup -- 1 Introduction -- 2 Spatial Algebraic Model -- 3 Complexity Regimes -- 3.1 Regime A -- 3.2 Regime B -- 3.3 Regime C -- 3.4 Regime D -- 4 Conclusion -- References -- Oscillations and Periodic Solutions in a Two-Dimensional Differential Delay Model -- 1 Introduction -- 2 Preliminaries -- 2.1 Assumptions and Basics -- 2.2 Linearization and Characteristic Equation -- 2.3 Oscillation -- 2.4 Ejective Fixed Point Theorem -- 3 Main Results. ; 3.1 Invariant Cone, Slow Oscillation, and Nonlinear Mapping -- 3.2 Ejectivity -- 4 Conclusion -- References -- Exploring Tetris as a Transformation Semigroup -- 1 Introduction -- 2 Tetris as a Transformation Semigroup -- 3 Analysis -- 3.1 Tri-Tris -- 3.2 Aperiodicity -- 4 Periodic Tri-Tris -- 4.1 Periodic Tri-Tris: 3 times3 Case -- 4.2 Periodic Tri-Tris: 3 times4 Case with Reduced Generating Set -- 5 SNAGs and Computation in Tetris -- 6 Conclusion -- References -- Differential Equations Using Generalized Derivatives on Fractals -- 1 Introduction: Derivatives with Respect to a Fractal Measure -- 2 The Weak Formulation and H1µ(K) -- 3 Some Basics of Iterated Function Systems -- 4 Convergence of Solutions -- 5 Conclusion -- References -- Revisiting Path-Following to Solve the Generalized Nash Equilibrium Problem -- 1 The Generalized Nash Equilibrium Problem -- 2 A Pathway to the GNEP -- 3 Examples of Pathways -- 3.1 Smoothing of C-Functions -- 3.2 Interior-Point Method -- 4 How to Follow the Path -- References -- Properties of the Zeros of the Scale-Delay Equation and Its Time-Variant ODE Realization -- 1 Introduction -- 2 Time-Variant Differential Annihilators -- 3 General Results -- 4 Extensions: From (α,β) to mathbbR -- 5 Application: Scale-Delay Equation -- References -- Advances in Statistical Modelling and Data Analysis -- Covering Large Complex Networks by Cliques-A Sparse Matrix Approach -- 1 Introduction -- 2 Compact Representation and Edge Clique Cover -- 2.1 Intersection Matrix -- 2.2 A Heuristic for Clique Cover -- 3 Numerical Testing -- 4 Conclusion -- References -- Comparing Regularization Techniques Applied to a Perceptron -- 1 Introduction -- 2 Background -- 2.1 The Simple Perceptron Model -- 3 Finding Weights and Biases -- 3.1 The Loss Function -- 3.2 Gradient Descent -- 4 Overfitting and Regularization -- 5 Results and Discussion. ; References -- Key Performance Indicators and Individual Factors on Penalty Kicks -- 1 Introduction -- 2 Data Set and Variables Definition -- 2.1 Variable Clarification -- 3 Methodology -- 4 Key Performance Factors in Penalty Kick -- 4.1 Global Analysis -- 4.2 Individual Players -- 5 Conclusion -- References -- Sparse Covariance and Precision Random Design Regression -- 1 Introduction -- 2 Estimator Construction -- 2.1 Replacing XTX -- 3 Numerical Results -- 3.1 Simulated Data -- 3.2 Forest Fire Data -- 3.3 Arizona Crime Data -- 4 Discussion -- References -- Applying Neural Networks to a Fractal Inverse Problem -- 1 Introduction -- 2 Mathematical Background -- 3 Neural Network Background -- 4 Fractal Databases -- 5 Results -- 6 Conclusions and Future Work -- References -- Solving Parameter Identification Problems using the Collage Distance and Entropy -- 1 Introduction -- 2 Inverse Problems Using the Generalized Collage Theorem -- 3 Entropy -- 4 Multicriteria Optimization and Our Scalarized Problem -- 5 Numerical Results -- 6 Conclusions -- References -- Mean-Square Stability of Stochastic System with Impulse and Unbounded Delay -- 1 Introduction -- 2 Problem Formulation -- 3 Main Results -- References -- BOLD.R: A Software Package to Interface with BOLD Through R -- 1 Introduction -- 2 Methods and Implementation -- 3 Results and Discussion -- 4 Conclusions -- References -- Analysis of Cortical Spreading Depression in Brain with Multiscale Mathematical Models -- 1 Introduction -- 2 Mathematical Modeling of CSD -- 2.1 Reaction-Diffusion Model of CSD in Two-Space Dimensions -- 2.2 One-Dimensional Neuronal Model of CSD -- 3 Results and Discussion -- 3.1 Reaction-Diffusion Model of CSD in Two-Space Dimensions -- 3.2 One-Dimensional Neuronal Model of CSD -- 4 Conclusions -- References. ; Impulsive Consensus of Complex-Valued Multi-agent Systems with Hybrid Protocols -- 1 Introduction -- 2 Preliminaries -- 3 Consensus Results -- 4 Numerical Simulations -- 5 Conclusion -- References -- Input-to-State Stability for Delayed Hybrid Systems and Hinfty Control -- 1 Inroduction -- 2 Problem Formulation -- 3 Main Results -- 3.1 Linear Systems -- 4 Numerical Examples -- References -- Impulsive Distance-Based Formation Tracking Control of Multi-agent Systems -- 1 Introduction -- 2 Preliminaries and Problem Formulation -- 2.1 Graph Theory and Some Useful Lemmas -- 2.2 Problem Statement -- 3 Main Results -- 3.1 Undirected Formations of Double Integrators -- 4 Numerical examples -- 5 Conclusions -- References -- Exponential Stabilization for Markov Jump Neural Networks with Additive Time-Varying Delays via Event-Triggered Impulsive Control -- 1 Introduction -- 2 Description of problem and preliminaries -- 3 Main Results -- 4 Numerical Example -- 5 Conclusion -- References -- Computational Methods for Differential Equations -- Development of a Lattice Boltzmann Model for the Solution of Partial Differential Equations, A Performance Comparison Study with that of the Finite Difference Method -- 1 Introduction -- 2 Description of the Numerical Methods -- 3 Results -- 4 Conclusion -- References -- Using Shooting Approaches to Generate Initial Guesses for ODE Parameter Estimation -- 1 Introduction -- 1.1 Definitions and Notation -- 1.2 Least Squares Parameter Estimation -- 1.3 Shooting Approaches -- 1.4 Obtaining a suitable po -- 2 Proposed method -- 3 Numerical Experiments -- 3.1 Comparison to random sampling -- 4 Conclusions -- References -- A Computational Study for Solving Inverse Problems for Mixed Variational Equations on Perforated Domains -- 1 Introduction. ; 2 Basics on Inverse problems for Variational Equations using the Generalized Collage Theorem -- 3 Mixed Variational Equations -- 4 Inverse Problems on Perforated Domains: A Computational Study -- 5 Conclusion -- References -- bacoli_py-A Python Package for the Error Controlled Numerical Solution of 1D Time-Dependent PDEs -- 1 Introduction -- 2 Overview of BACOLI and BACOLRI -- 3 Description of bacoli_py -- 3.1 Basic Usage -- 4 Examples -- 4.1 One Layer Burgers Equation-Python Callback Functions -- 4.2 Two Layer Burgers Equation-Callback Functions as Compiled Fortran Subroutines -- References -- Solving Cardiac Bidomain Problems with B-spline Adaptive Collocation -- 1 Introduction -- 2 The Bidomain Model in -- 2.1 B-spline Basis Expansion -- 2.2 Collocation Equations -- 2.3 Error Control -- 3 Numerical Experiments -- 3.1 Initiation of Pulse Solutions -- 3.2 Reference Solution and Error -- 3.3 Numerical Solutions -- 4 Results -- 5 Conclusions -- References -- A Computational Comparison of Three Methods for Solving a 1D Boundary Value Inverse Problem -- 1 Introduction -- 2 Regularization Methods -- 2.1 Tikhonov Regularization -- 2.2 An Example Problem -- 3 Iteration Schemes -- 3.1 Landweber-Fridman Iteration -- 3.2 Revisited: An Example Problem -- 4 Collage-Coding Methods -- 4.1 Revisited: An Example Problem -- 5 Conclusions and Future Work -- References -- A Comparison of Turbulence Generated by 3DS Sparse Grids with Different Blockage Ratios and Different Co-frame Arrangements -- 1 Introduction -- 2 Direct Numerical Simulations -- 3 Results on Turbulence Intensity -- 4 Conclusions -- References -- Mathematical Modelling in Engineering, Physical and Chemical Sciences -- An Extended Pseudo Potential Multiphase Lattice Boltzmann Model with Variable Viscosity Ratio -- 1 Introduction -- 2 Pseudopotential Model -- 3 Model Validation -- 3.1 Static Droplet. ; 3.2 Immiscible Two-Phase Poiseuille Flow.
• Titolo autorizzato: Recent developments in mathematical, statistical and computational sciences
• ISBN: 3-030-63591-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910495249003321
• Lo trovi qui: Univ. Federico II
• Serie: Springer proceedings in mathematics & statistics ; ; Volume 343.