Recent Progress And Modern Challenges In Applied Mathematics Modeling And Computational Science

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Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

Author : Roderick Melnik
Publisher : Springer
ISBN 13 : 1493969692
Total Pages : 444 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science by : Roderick Melnik

Download or read book Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science written by Roderick Melnik and published by Springer. This book was released on 2017-09-05 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

Advances in Applied Mathematics, Modeling, and Computational Science

Author : Roderick Melnik
Publisher : Springer Science & Business Media
ISBN 13 : 1461453895
Total Pages : 242 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Applied Mathematics, Modeling, and Computational Science by : Roderick Melnik

Download or read book Advances in Applied Mathematics, Modeling, and Computational Science written by Roderick Melnik and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author : Jacques Bélair
Publisher : Springer
ISBN 13 : 3319303791
Total Pages : 806 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical and Computational Approaches in Advancing Modern Science and Engineering by : Jacques Bélair

Download or read book Mathematical and Computational Approaches in Advancing Modern Science and Engineering written by Jacques Bélair and published by Springer. This book was released on 2016-08-10 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Applied Mathematics, Modeling, and Computational Science

Author : Roderick Melnik
Publisher : Springer
ISBN 13 : 9781461453901
Total Pages : 242 pages
Book Rating : 4.4/5 (539 download)

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Book Synopsis Advances in Applied Mathematics, Modeling, and Computational Science by : Roderick Melnik

Download or read book Advances in Applied Mathematics, Modeling, and Computational Science written by Roderick Melnik and published by Springer. This book was released on 2012-09-23 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society

Author : Ilias Kotsireas
Publisher : American Inst. of Physics
ISBN 13 : 9780735409286
Total Pages : 0 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society by : Ilias Kotsireas

Download or read book Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society written by Ilias Kotsireas and published by American Inst. of Physics. This book was released on 2012-01-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unique collection of in-depth technical discussions and exchange of ideas in mathematical and computational sciences, as well as their applications in natural and social sciences, engineering and technology, industry and finance. It aims at researchers, industrialists, engineers and students who want to foster interdisciplinary collaborations required to meet the challenges of modern science, technology, and society. Applied and computational mathematics plays a fundamental role in new discoveries in sciences and engineering. The methodology of mathematical modeling and computational experiment provides a primary and ubiquitous tool in such discoveries, as well as in the development of new theories and techniques for the solution of important problems arising from the sciences and engineering. The main goal of this book is to provide the reader with state-of-the-art achievements in the development of this methodology along with the associated theories and techniques in diverse areas of human knowledge, promoting interdisciplinary interactions between mathematicians, scientists and engineers. The book is a valuable source of the methods, ideas, and tools of applied and computational mathematics developed for other disciplines, including natural and social sciences, engineering and technology. Original results are presented on both fundamental and applied developments, with a wide range of examples emphasizing interdisciplinary nature and universality applied mathematics and mathematical modeling.This book has a number of unique features: -The book can serve as a reference to state-of-the-art original works on the applications of mathematical and computational methods and tools in disciplines from natural and social sciences to technology and engineering.

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Author : Monica G. Cojocaru
Publisher : Springer
ISBN 13 : 3319123076
Total Pages : 555 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science by : Monica G. Cojocaru

Download or read book Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science written by Monica G. Cojocaru and published by Springer. This book was released on 2015-07-03 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

Author : Elbert E. N. Macau
Publisher : Springer
ISBN 13 : 3319785125
Total Pages : 228 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems by : Elbert E. N. Macau

Download or read book A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems written by Elbert E. N. Macau and published by Springer. This book was released on 2018-06-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.

Recent Advances in Differential Equations and Applications

Author : Juan Luis García Guirao
Publisher : Springer
ISBN 13 : 3030003418
Total Pages : 244 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Recent Advances in Differential Equations and Applications by : Juan Luis García Guirao

Download or read book Recent Advances in Differential Equations and Applications written by Juan Luis García Guirao and published by Springer. This book was released on 2019-01-04 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models

Author : Roman M. Cherniha
Publisher : MDPI
ISBN 13 : 3038425265
Total Pages : 427 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models by : Roman M. Cherniha

Download or read book Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models written by Roman M. Cherniha and published by MDPI. This book was released on 2018-07-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Lie Theory and Its Applications" that was published in Symmetry

Arithmetic Geometry, Number Theory, and Computation

Author : Jennifer S. Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3030809145
Total Pages : 587 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Arithmetic Geometry, Number Theory, and Computation by : Jennifer S. Balakrishnan

Download or read book Arithmetic Geometry, Number Theory, and Computation written by Jennifer S. Balakrishnan and published by Springer Nature. This book was released on 2022-03-15 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Author : Hemen Dutta
Publisher : Springer Nature
ISBN 13 : 3030152421
Total Pages : 912 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Current Trends in Mathematical Analysis and Its Interdisciplinary Applications by : Hemen Dutta

Download or read book Current Trends in Mathematical Analysis and Its Interdisciplinary Applications written by Hemen Dutta and published by Springer Nature. This book was released on 2019-08-23 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.

Theory and Applications of Dynamic Games

Author : Elena Parilina
Publisher : Springer Nature
ISBN 13 : 3031164555
Total Pages : 263 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Theory and Applications of Dynamic Games by : Elena Parilina

Download or read book Theory and Applications of Dynamic Games written by Elena Parilina and published by Springer Nature. This book was released on 2022-11-23 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive overview of noncooperative and cooperative dynamic games involving uncertain parameter values, with the stochastic process being described by an event tree. Primarily intended for graduate students of economics, management science and engineering, the book is self-contained, as it defines and illustrates all relevant concepts originally introduced in static games before extending them to a dynamic framework. It subsequently addresses the sustainability of cooperative contracts over time and introduces a range of mechanisms to help avoid such agreements breaking down before reaching maturity. To illustrate the concepts discussed, the book provides various examples of how dynamic games played over event trees can be applied to environmental economics, management science, and engineering.

Symmetries and Applications of Differential Equations

Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 981164683X
Total Pages : 287 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Symmetries and Applications of Differential Equations by : Albert C. J. Luo

Download or read book Symmetries and Applications of Differential Equations written by Albert C. J. Luo and published by Springer Nature. This book was released on 2021-12-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include: -- Approximate symmetry in nonlinear physical problems -- Complex methods for Lie symmetry analysis -- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.

Structured Dependence between Stochastic Processes

Author : Tomasz R. Bielecki
Publisher : Cambridge University Press
ISBN 13 : 1108895379
Total Pages : 280 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Structured Dependence between Stochastic Processes by : Tomasz R. Bielecki

Download or read book Structured Dependence between Stochastic Processes written by Tomasz R. Bielecki and published by Cambridge University Press. This book was released on 2020-08-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relatively young theory of structured dependence between stochastic processes has many real-life applications in areas including finance, insurance, seismology, neuroscience, and genetics. With this monograph, the first to be devoted to the modeling of structured dependence between random processes, the authors not only meet the demand for a solid theoretical account but also develop a stochastic processes counterpart of the classical copula theory that exists for finite-dimensional random variables. Presenting both the technical aspects and the applications of the theory, this is a valuable reference for researchers and practitioners in the field, as well as for graduate students in pure and applied mathematics programs. Numerous theoretical examples are included, alongside examples of both current and potential applications, aimed at helping those who need to model structured dependence between dynamic random phenomena.

Contagion! Systemic Risk in Financial Networks

Author : T. R. Hurd
Publisher : Springer
ISBN 13 : 3319339303
Total Pages : 139 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Contagion! Systemic Risk in Financial Networks by : T. R. Hurd

Download or read book Contagion! Systemic Risk in Financial Networks written by T. R. Hurd and published by Springer. This book was released on 2016-05-25 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a unified mathematical framework for the transmission channels for damaging shocks that can lead to instability in financial systems. As the title suggests, financial contagion is analogous to the spread of disease, and damaging financial crises may be better understood by bringing to bear ideas from studying other complex systems in our world. After considering how people have viewed financial crises and systemic risk in the past, it delves into the mechanics of the interactions between banking counterparties. It finds a common mathematical structure for types of crises that proceed through cascade mappings that approach a cascade equilibrium. Later chapters follow this theme, starting from the underlying random skeleton graph, developing into the theory of bootstrap percolation, ultimately leading to techniques that can determine the large scale nature of contagious financial cascades.

Noether's Theorem and Symmetry

Author : P.G.L. Leach
Publisher : MDPI
ISBN 13 : 3039282344
Total Pages : 186 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Noether's Theorem and Symmetry by : P.G.L. Leach

Download or read book Noether's Theorem and Symmetry written by P.G.L. Leach and published by MDPI. This book was released on 2020-03-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables.

Economics, Game Theory And International Environmental Agreements: The Ca' Foscari Lectures

Author : Henry Tulkens
Publisher : World Scientific
ISBN 13 : 9813141247
Total Pages : 459 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Economics, Game Theory And International Environmental Agreements: The Ca' Foscari Lectures by : Henry Tulkens

Download or read book Economics, Game Theory And International Environmental Agreements: The Ca' Foscari Lectures written by Henry Tulkens and published by World Scientific. This book was released on 2019-05-29 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The science and management of environmental problems is a vast area, comprising both the natural and social sciences, and the multidisciplinary links often make these issues challenging to comprehend. Economics, Game Theory and International Environmental Agreements: The Ca' Foscari Lectures aims to introduce students to the multidimensional character of international environmental problems in general, and climate change in particular.Ecology, economics, game theory and diplomacy are called upon and brought together in the common framework of a basic mathematical model. Within that framework, and using tools from these four disciplines, the book develops a theory that aims to explain and promote cooperation in international environmental affairs.Other books on the topic tend to be research-oriented volumes of various papers. Instead, this is a book that offers a reasonably-sized synthesis of the multidimensional societal problems of transfrontier pollution, particularly of climate change. It uses mathematical modeling of economic and game theory concepts to examine these environmental issues and demonstrate many results in an accessible fashion. Readers interested in understanding the links between ecology and economics, as well as the connection between economics and institutional decision-making, will find in this text not only answers to many of their queries but also questions for further thinking.