Mathematical and Computational Approaches in Advancing Modern Science and Engineering 1st Edition by Jacques Bélair, Ian A Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J Spiteri ISBN 9783319303772 3319303775

Mathematical and Computational Approaches in Advancing Modern Science and Engineering 1st Edition by Jacques Bélair, Ian A. Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J. Spiteri – Ebook PDF Instant Download/Delivery: 9783319303772, 3319303775

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Product details:

ISBN 10: 3319303775

ISBN 13:  9783319303772

Author:  Jacques Bélair, Ian A. Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J. Spiteri

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: 

1. Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs

2. Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab

3. Homoclinic Structure for a Generalized Davey-Stewartson System

4. Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane

5. On the Problem of Similar Motions of a Chain of Coupled Heavy Rigid Bodies

6. On Stabilization of an Unbalanced Lagrange Gyrostat

7. Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity

8. Symmetry-Breaking Bifurcations in Laser Systems with All-to-All Coupling

9. Effect of Jet Impingement on Nano-aerosol Soot Formation in a Paraffin-Oil Flame

10. Normalization of Eigenvectors and Certain Properties of Parameter Matrices Associated with The Inverse Problem for Vibrating Systems

11. Computational Aspects of Solving Inverse Problems for Elliptic PDEs on Perforated Domains Using the Collage Method

12. Dynamic Boundary Stabilization of a Schrödinger Equation Through a Kelvin-Voigt Damped Wave Equation

13. Molecular-Dynamics Simulations Using Spatial Decomposition and Task-Based Parallelism

14. Modelling of Local Length-Scale Dynamics and Isotropizing Deformations: Formulation in Natural Coordinate System

15. Post-Newtonian Gravitation

16. A Quantitative Model of Cutaneous Melanoma Diagnosis Using Thermography

17. Time-Dependent Casual Encounters Games and HIV Spread

18. Modelling an Aquaponic Ecosystem Using Ordinary Differential Equations

19. A New Measure of Robust Stability for Linear Ordinary Impulsive Differential Equations

20. Coupled Lattice Boltzmann Modeling of Bidomain Type Models in Cardiac Electrophysiology

21. Dynamics and Bifurcations in Low-Dimensional Models of Intracranial Pressure

22. Persistent Homology for Analyzing Environmental Lake Monitoring Data

23. Estimating Escherichia coli Contamination Spread in Ground Beef Production Using a Discrete Probability Model

24. The Impact of Movement on Disease Dynamics in a Multi-city Compartmental Model Including Residency Patch

25. A Chemostat Model with Wall Attachment: The Effect of Biofilm Detachment Rates on Predicted Reactor Performance

26. Application of CFD Modelling to the Restoration of Eutrophic Lakes

27. On the Co-infection of Malaria and Schistosomiasis

28. A Discrete-Continuous Modeling Framework to Study the Role of Swarming in a Honeybee-Varroa destrutor-Virus System

29. To a Predictive Model of Pathogen Die-off in Soil Following Manure Application

30. Mathematical Modeling of VEGF Binding, Production, and Release in Angiogenesis

31. A Mathematical Model of Cytokine Dynamics During a Cytokine Storm

32. Examining the Role of Social Feedbacks and Misperception in a Model of Fish-Borne Pollution Illness

33. Stability Properties of Switched Singular Systems Subject to Impulsive Effects

34. Input-to-State Stability and H ∞ Performance for Stochastic Control Systems with Piece wise Constant Arguments

35. Switched Singularly Perturbed Systems with Reliable Controllers

36. Application of an Optimized SLW Model in CFD Simulation of a Furnace

37. Numerical Investigation on Periodic Simulation of Flow Through Ducted Axial Fan

38. Numerical Analysis of Turbulent Convective Heat Transfer in a Rotor-Stator Configuration

39. Determining Sparse Jacobian Matrices Using Two-Sided Compression: An Algorithm and Lower Bounds

40. An h-Adaptive Implementation of the Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws on Unstructured Meshes for Graphics Processing Units

41. Extending BACOLI to Solve the Monodomain Model

42. An Analysis of the Reliability of Error Control B-Spline Gaussian Collocation PDE Software

43. On the Simulation of Porous Media Flow Using a New Meshless Lattice Boltzmann Method

44. A Comparison Between Two and Three-Dimensional Simulations of Finite Amplitude Sound Waves in a Trumpet

45. A Dual-Rotor Horizontal Axis Wind Turbine In-House Code (DR_HAWT)

46. Numerical Study of the Installed Controlled Diffusion Airfoil at Transitional Reynolds Number

47. Financial Markets in the Context of the General Theory of Optional Processes

48. A Sufficient Condition for Continuous-Time Finite Skip-Free Markov Chains to Have Real Eigenvalues

49. Bifurcations in the Solution Structure of Market Equilibrium Problems

50. Pricing Options with Hybrid Stochastic Volatility Models

51. Delay Stochastic Models in Finance

52. Semi-parametric Time Series Modelling with Autocopulas

53. Optimal Robust Designs of Step-Stress Accelerated Life Testing Experiments for Proportional Hazards Models

54. Detecting Coalition Frauds in Online-Advertising

55. Circle Inversion Fractals

56. Computation of Galois Groups in magma

57. Global Dynamics and Periodic Solutions in a Singular Differential Delay Equation

58. Localized Spot Patterns on the Sphere for Reaction-Diffusion Systems: Theory and Open Problems

59. Continuous Dependence on Modeling in Banach Space Using a Logarithmic Approximation

60. Solving Differential-Algebraic Equations by Selecting Universal Dummy Derivatives

61. On a Topological Obstruction in the Reach Control Problem

62. Continuous Approaches to the Unconstrained Binary Quadratic Problems

63. Fixed Point Techniques in Analog Systems

64. A New Look at Dummy Derivatives for Differential-Algebraic Equations

65. New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control

66. Robust Synchronization of Distributed-Delay Systems via Hybrid Control

67. Regularization and Numerical Integration of DAEs Based on the Signature Method

68. Symbolic-Numeric Methods for Improving Structural Analysis of Differential-Algebraic Equation Systems

69. Pinning Stabilization of Cellular Neural Networks with Time-Delay Via Delayed Impulses

70. Convergence Analysis of the Spectral Expansion of Stable Related Semigroups

71. Erratum to: Examining the Role of Social Feedbacks and Misperception in a Model of Fish-Borne Pollution Illness

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Tags: Jacques Bélair, Ian A Frigaard, Herb Kunze, Roman Makarov, Roderick Melnik, Raymond J Spiteri, Mathematical, Computational Approaches, Advancing Modern, Science Engineering