Mathematical and Computational Approaches in Advancing Modern Science and Engineering

✍ Scribed by Jacques Bélair, Ian A. Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J. Spiteri

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 777
• Edition: 1st ed. 2016
• Category: Library

✦ Synopsis

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines.

The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications.

The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology. 

✦ Table of Contents

Front Matter....Pages i-xv
Front Matter....Pages 1-1
Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs....Pages 3-13
Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab....Pages 15-25
Homoclinic Structure for a Generalized Davey-Stewartson System....Pages 27-33
Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane....Pages 35-46
On the Problem of Similar Motions of a Chain of Coupled Heavy Rigid Bodies....Pages 47-57
On Stabilization of an Unbalanced Lagrange Gyrostat....Pages 59-69
Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity....Pages 71-80
Symmetry-Breaking Bifurcations in Laser Systems with All-to-All Coupling....Pages 81-88
Effect of Jet Impingement on Nano-aerosol Soot Formation in a Paraffin-Oil Flame....Pages 89-99
Normalization of Eigenvectors and Certain Properties of Parameter Matrices Associated with The Inverse Problem for Vibrating Systems....Pages 101-112
Computational Aspects of Solving Inverse Problems for Elliptic PDEs on Perforated Domains Using the Collage Method....Pages 113-120
Dynamic Boundary Stabilization of a Schrödinger Equation Through a Kelvin-Voigt Damped Wave Equation....Pages 121-131
Molecular-Dynamics Simulations Using Spatial Decomposition and Task-Based Parallelism....Pages 133-140
Modelling of Local Length-Scale Dynamics and Isotropizing Deformations: Formulation in Natural Coordinate System....Pages 141-151
Post-Newtonian Gravitation....Pages 153-164
Front Matter....Pages 165-165
A Quantitative Model of Cutaneous Melanoma Diagnosis Using Thermography....Pages 167-175
Time-Dependent Casual Encounters Games and HIV Spread....Pages 177-187
Modelling an Aquaponic Ecosystem Using Ordinary Differential Equations....Pages 189-196
A New Measure of Robust Stablity for Linear Ordinary Impulsive Differential Equations....Pages 197-208
Coupled Lattice Boltzmann Modeling of Bidomain Type Models in Cardiac Electrophysiology....Pages 209-221
Front Matter....Pages 165-165
Dynamics and Bifurcations in Low-Dimensional Models of Intracranial Pressure....Pages 223-232
Persistent Homology for Analyzing Environmental Lake Monitoring Data....Pages 233-243
Estimating Escherichia coli Contamination Spread in Ground Beef Production Using a Discrete Probability Model....Pages 245-254
The Impact of Movement on Disease Dynamics in a Multi-city Compartmental Model Including Residency Patch....Pages 255-265
A Chemostat Model with Wall Attachment: The Effect of Biofilm Detachment Rates on Predicted Reactor Performance....Pages 267-276
Application of CFD Modelling to the Restoration of Eutrophic Lakes....Pages 277-287
On the Co-infection of Malaria and Schistosomiasis....Pages 289-298
A Discrete-Continuous Modeling Framework to Study the Role of Swarming in a Honeybee-Varroa destrutor-Virus System....Pages 299-308
To a Predictive Model of Pathogen Die-off in Soil Following Manure Application....Pages 309-317
Mathematical Modeling of VEGF Binding, Production, and Release in Angiogenesis....Pages 319-329
A Mathematical Model of Cytokine Dynamics During a Cytokine Storm....Pages 331-339
Examining the Role of Social Feedbacks and Misperception in a Model of Fish-Borne Pollution Illness....Pages 341-351
Front Matter....Pages 353-353
Stability Properties of Switched Singular Systems Subject to Impulsive Effects....Pages 355-365
Switched Singularly Perturbed Systems with Reliable Controllers....Pages 367-377
Application of an Optimized SLW Model in CFD Simulation of a Furnace....Pages 379-388
Numerical Investigation on Periodic Simulation of Flow Through Ducted Axial Fan....Pages 389-399
Numerical Analysis of Turbulent Convective Heat Transfer in a Rotor-Stator Configuration....Pages 401-411
Determining Sparse Jacobian Matrices Using Two-Sided Compression: An Algorithm and Lower Bounds....Pages 413-424
An h-Adaptive Implementation of the Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws on Unstructured Meshes for Graphics Processing Units....Pages 425-434
Front Matter....Pages 435-445
Extending BACOLI to Solve the Monodomain Model....Pages 353-353
An Analysis of the Reliability of Error Control B-Spline Gaussian Collocation PDE Software....Pages 447-457
On the Simulation of Porous Media Flow Using a New Meshless Lattice Boltzmann Method....Pages 459-468
A Comparison Between Two and Three-Dimensional Simulations of Finite Amplitude Sound Waves in a Trumpet....Pages 469-480
A Dual-Rotor Horizontal Axis Wind Turbine In-House Code (DR_HAWT)....Pages 481-492
Numerical Study of the Installed Controlled Diffusion Airfoil at Transitional Reynolds Number....Pages 493-503
Front Matter....Pages 505-515
Financial Markets in the Context of the General Theory of Optional Processes....Pages 517-517
A Sufficient Condition for Continuous-Time Finite Skip-Free Markov Chains to Have Real Eigenvalues....Pages 519-528
Bifurcations in the Solution Structure of Market Equilibrium Problems....Pages 529-536
Pricing Options with Hybrid Stochastic Volatility Models....Pages 537-548
Delay Stochastic Models in Finance....Pages 549-560
Semi-parametric Time Series Modelling with Autocopulas....Pages 561-571
Optimal Robust Designs of Step-Stress Accelerated Life Testing Experiments for Proportional Hazards Models....Pages 573-583
Detecting Coalition Frauds in Online-Advertising....Pages 585-594
Front Matter....Pages 595-605
Circle Inversion Fractals....Pages 607-607
Computation of Galois Groups in magma....Pages 609-619
Global Dynamics and Periodic Solutions in a Singular Differential Delay Equation....Pages 621-628
Localized Spot Patterns on the Sphere for Reaction-Diffusion Systems: Theory and Open Problems....Pages 629-639
Continuous Dependence on Modeling in Banach Space Using a Logarithmic Approximation....Pages 641-651
Solving Differential-Algebraic Equations by Selecting Universal Dummy Derivatives....Pages 653-663
Front Matter....Pages 665-676
On a Topological Obstruction in the Reach Control Problem....Pages 607-607
Continuous Approaches to the Unconstrained Binary Quadratic Problems....Pages 677-687
Fixed Point Techniques in Analog Systems....Pages 689-700
A New Look at Dummy Derivatives for Differential-Algebraic Equations....Pages 701-711
New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control....Pages 713-723
Robust Synchronization of Distributed-Delay Systems via Hybrid Control....Pages 725-736
Regularization and Numerical Integration of DAEs Based on the Signature Method....Pages 737-748
Symbolic-Numeric Methods for Improving Structural Analysis of Differential-Algebraic Equation Systems....Pages 749-761
Pinning Stabilization of Cellular Neural Networks with Time-Delay Via Delayed Impulses....Pages 763-773
Convergence Analysis of the Spectral Expansion of Stable Related Semigroups....Pages 775-785
Back Matter....Pages 787-797
....Pages 799-806

✦ Subjects

Computational Science and Engineering;Mathematical Modeling and Industrial Mathematics;Appl.Mathematics/Computational Methods of Engineering;Mathematical and Computational Biology;Simulation and Modeling;Numerical and Computational