Mathematical and computational approaches in advancing modern science and engineering /

Mathematical and computational approaches in advancing modern science and engineering /

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Bibliographic Details
Imprint:Switzerland : Springer, 2016.
Description:1 online resource : color illustrations
Language:English
Subject:
Science -- Mathematics.
Engineering -- Mathematical models.
Engineering -- Mathematical models.
Science -- Mathematics.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11265552
Hidden Bibliographic Details
Other authors / contributors:Bélair, Jacques, editor.
Frigaard, Ian A., editor.
Kunze, Herb, editor.
Makarov, Roman N., editor.
Melnik, Roderick, editor.
Spiteri, Raymond J., editor.
ISBN:9783319303796
3319303791
9783319303772
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (EBSCO, viewed August 26, 2016).
Summary: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.
Other form:Printed edition: 9783319303772
Standard no.:10.1007/978-3-319-30379-6
Table of Contents:
  • Preface; Contents; Part I Theory and Applications of Mathematical Models in Physical and Chemical Sciences; Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs; 1 Introduction; 2 Physical Properties of Shale Gas Reservoirs; 3 Mathematical Formulation; 4 Model Validation Under Steady State Conditions; 5 Sensitivity Analysis and Estimation of Model Parameters; 6 Summary; References; Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab; 1 Introduction
  • 2 Fundamental Solution of Time Fractional Diffusion Equation3 Numerical Solutions; 3.1 Discretization of Boundary Conditions; 4 Matlab Codes; 5 Numerical Experiments; 6 Conclusions; References; Homoclinic Structure for a Generalized Davey-Stewartson System; 1 Introduction; 2 Linearized Stability Analysis; 3 Homoclinic Structure of the GDS System; 4 Conclusions; References; Numerical Simulations of the Dynamics of Vortex Rossby Waves on a Beta-Plane; 1 Introduction; 2 Configuration and Equations; 3 Results; 4 Concluding Remarks; References
  • On the Problem of Similar Motions of a Chain of Coupled Heavy Rigid Bodies1 Introduction; 2 Description of the Model; 3 Formulation of the Problem; 4 Structure of the Solution; 5 On Compatibility of the Conditions (9) and (16); 6 Geometry of the Motion of the Chain's Skeleton ; References; On Stabilization of an Unbalanced Lagrange Gyrostat; 1 Introduction; 2 Description of the Model; 3 The Problem of Interest; 4 Analysis of Necessary Stability Conditions; 5 Conclusion; Appendix; References; Approximate Solution of Some Boundary Value Problems of Coupled Thermo-Elasticity; 1 Introduction
  • 2 Fundamental and Singular Solutions3 Approximate Solutions; 4 Conclusion; References; Symmetry-Breaking Bifurcations in Laser Systems with All-to-All Coupling; 1 Introduction; 2 Laser Systems with All-to-All Coupling; 3 Symmetric CLMs; 4 Symmetry-Breaking Bifurcations; 5 Conclusion; References; Effect of Jet Impingement on Nano-aerosol Soot Formation in a Paraffin-Oil Flame; 1 Introduction; 2 The Governing Equations; 3 Computational Method; 4 The Benchmark Test Case and Validation; 5 The Results and Discussion; 6 Conclusion; References
  • Normalization of Eigenvectors and Certain Properties of Parameter Matrices Associated with The Inverse Problem for Vibrating Systems1 Introduction; 2 Preliminaries; 3 Eigenvector Normalization; 4 Consequences of Normalization; References; Computational Aspects of Solving Inverse Problems for Elliptic PDEs on Perforated Domains Using the Collage Method; 1 Introduction; 2 The Collage Theorem for Elliptic PDEs; 3 Theoretical Results; 4 Examples; References; Dynamic Boundary Stabilization of a Schrödinger Equation Through a Kelvin-Voigt Damped Wave Equation; 1 Introduction

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