Mathematical And Computational Approaches In Advancing Modern Science And Engineering

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 42,9 Mb
Release : 2016-08-10
Category : Computers
ISBN : 9783319303796

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Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri Pdf

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.

Author : Ilias Kotsireas,Roderick Melnik,Brian West
Publisher : American Inst. of Physics
Page : 0 pages
File Size : 41,5 Mb
Release : 2012-01-20
Category : Science
ISBN : 0735409285

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Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society by Ilias Kotsireas,Roderick Melnik,Brian West Pdf

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.

Author : Grant B. Gustafson,Calvin H. Wilcox
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics by Grant B. Gustafson,Calvin H. Wilcox Pdf

This book focuses on the topics which provide the foundation for practicing engineering mathematics: ordinary differential equations, vector calculus, linear algebra and partial differential equations. Destined to become the definitive work in the field, the book uses a practical engineering approach based upon solving equations and incorporates computational techniques throughout.

Author : Ramakant Bhardwaj,Jyoti Mishra,Satyendra Narayan,Gopalakrishnan Suseendran
Publisher : John Wiley & Sons
Page : 452 pages
File Size : 50,9 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9781119777151

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Mathematics in Computational Science and Engineering by Ramakant Bhardwaj,Jyoti Mishra,Satyendra Narayan,Gopalakrishnan Suseendran Pdf

MATHEMATICS IN COMPUTATIONAL SCIENCE AND ENGINEERING This groundbreaking new volume, written by industry experts, is a must-have for engineers, scientists, and students across all engineering disciplines working in mathematics and computational science who want to stay abreast with the most current and provocative new trends in the industry. Applied science and engineering is the application of fundamental concepts and knowledge to design, build and maintain a product or a process, which provides a solution to a problem and fulfills a need. This book contains advanced topics in computational techniques across all the major engineering disciplines for undergraduate, postgraduate, doctoral and postdoctoral students. This will also be found useful for professionals in an industrial setting. It covers the most recent trends and issues in computational techniques and methodologies for applied sciences and engineering, production planning, and manufacturing systems. More importantly, it explores the application of computational techniques and simulations through mathematics in the field of engineering and the sciences. Whether for the veteran engineer, scientist, student, or other industry professional, this volume is a must-have for any library. Useful across all engineering disciplines, it is a multifactional tool that can be put to use immediately in practical applications. This groundbreaking new volume: Includes detailed theory with illustrations Uses an algorithmic approach for a unique learning experience Presents a brief summary consisting of concepts and formulae Is pedagogically designed to make learning highly effective and productive Is comprised of peer-reviewed articles written by leading scholars, researchers and professors AUDIENCE: Engineers, scientists, students, researchers, and other professionals working in the field of computational science and mathematics across multiple disciplines

Author : Johan Hoffman
Publisher : SIAM
Page : 425 pages
File Size : 46,9 Mb
Release : 2021-10-19
Category : Computers
ISBN : 9781611976724

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Methods in Computational Science by Johan Hoffman Pdf

Computational methods are an integral part of most scientific disciplines, and a rudimentary understanding of their potential and limitations is essential for any scientist or engineer. This textbook introduces computational science through a set of methods and algorithms, with the aim of familiarizing the reader with the field’s theoretical foundations and providing the practical skills to use and develop computational methods. Centered around a set of fundamental algorithms presented in the form of pseudocode, this self-contained textbook extends the classical syllabus with new material, including high performance computing, adjoint methods, machine learning, randomized algorithms, and quantum computing. It presents theoretical material alongside several examples and exercises and provides Python implementations of many key algorithms. Methods in Computational Science is for advanced undergraduate and graduate-level students studying computer science and data science. It can also be used to support continuous learning for practicing mathematicians, data scientists, computer scientists, and engineers in the field of computational science. It is appropriate for courses in advanced numerical analysis, data science, numerical optimization, and approximation theory.

Author : Barry Koren,Kees Vuik
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 55,9 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9783642033872

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Advanced Computational Methods in Science and Engineering by Barry Koren,Kees Vuik Pdf

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

Author : Nikos Mastorakis,John Sakellaris
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 45,7 Mb
Release : 2009-07-09
Category : Mathematics
ISBN : 9780387764832

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Advances in Numerical Methods by Nikos Mastorakis,John Sakellaris Pdf

Recent Advances in Numerical Methods features contributions from distinguished researchers, focused on significant aspects of current numerical methods and computational mathematics. The increasing necessity to present new computational methods that can solve complex scientific and engineering problems requires the preparation of this volume with actual new results and innovative methods that provide numerical solutions in effective computing times. Each chapter will present new and advanced methods and modern variations on known techniques that can solve difficult scientific problems efficiently.

Author : Mangey Ram,João Paulo Davim
Publisher : River Publishers
Page : 250 pages
File Size : 40,5 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9788793609341

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Advanced Mathematical Techniques in Science and Engineering by Mangey Ram,João Paulo Davim Pdf

In recent years, mathematical techniques applied to novel disciplines within the science and engineering have experienced extraordinary growth. Advanced Mathematical Techniques in Science and Engineering focusses on a detailed range of mathematics applied within various fields of science and engineering for different tasks. Topics of focus include: Analysis of Consensus-Building Time in Social GroupsModeling of intersystem accidents in critical infrastructure systemsStochastic approaches to analysis and modeling of multi-sources and big dataPerformance evaluation of computational DoS attack on access point in Wireless LANsRanking methods for decision-making under uncertaintyUnderstanding time delay based Modeling & Diffusion of technological productsRole of soft computing in science and engineeringComplex system reliability analysis and optimizationTree growth models in forest ecosystems modelling This research book can be used as a reference for students in a final year undergraduate engineering course, such as mechanical, mechatronics, industrial, computer science, information technology, etc. Furthermore, the book can serve as a valuable reference for academics, engineers and researchers in these and related subject areas.

Author : Arvind Ramanathan,S. Chakra Chennubhotla,Nadine Kabbani,James Leland Olds,Shantenu Jha
Publisher : Frontiers Media SA
Page : 138 pages
File Size : 43,6 Mb
Release : 2022-02-28
Category : Science
ISBN : 9782889745456

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Computational Approaches to Understand Molecular Mechanisms of SARS-CoV-2 by Arvind Ramanathan,S. Chakra Chennubhotla,Nadine Kabbani,James Leland Olds,Shantenu Jha Pdf

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
Page : 710 pages
File Size : 50,8 Mb
Release : 2006-09-01
Category : Mathematics
ISBN : 9780470047415

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Mathematical Methods in Science and Engineering by Selcuk S. Bayin Pdf

An innovative treatment of mathematical methods for a multidisciplinary audience Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques. This book succeeds in not only being tuned in to the existing practical needs of this multidisciplinary audience, but also plays a role in the development of new interdisciplinary science by introducing new techniques to students and researchers. Mathematical Methods in Science and Engineering's modular structure affords instructors enough flexibility to use this book for several different advanced undergraduate and graduate level courses. Each chapter serves as a review of its subject and can be read independently, thus it also serves as a valuable reference and refresher for scientists and beginning researchers. There are a growing number of research areas in applied sciences, such as earthquakes, rupture, financial markets, and crashes, that employ the techniques of fractional calculus and path integrals. The book's two unique chapters on these subjects, written in a style that makes these advanced techniques accessible to a multidisciplinary audience, are an indispensable tool for researchers and instructors who want to add something new to their compulsory courses. Mathematical Methods in Science and Engineering includes: * Comprehensive chapters on coordinates and tensors and on continuous groups and their representations * An emphasis on physical motivation and the multidisciplinary nature of the methods discussed * A coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience * Exercises at the end of every chapter and plentiful examples throughout the book Mathematical Methods in Science and Engineering is not only appropriate as a text for advanced undergraduate and graduate physics programs, but is also appropriate for engineering science and mechanical engineering departments due to its unique chapter coverage and easily accessible style. Readers are expected to be familiar with topics typically covered in the first three years of science and engineering undergraduate programs. Thoroughly class-tested, this book has been used in classes by more than 1,000 students over the past eighteen years.

Author : D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang
Publisher : Springer Nature
Page : 728 pages
File Size : 42,5 Mb
Release : 2021-08-29
Category : Mathematics
ISBN : 9783030635916

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Recent Developments in Mathematical, Statistical and Computational Sciences by D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang Pdf

This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines. Based on a highly successful meeting, the International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2019, held from August 18 to 23, 2019, on the main campus of Wilfrid Laurier University, Waterloo, Canada, the contributions are the results of submissions from the conference participants. They provide readers with a broader view of the methods, ideas and tools used in mathematical, statistical and computational sciences.

Author : Alyson Deines,Daniela Ferrero,Erica Graham,Mee Seong Im,Carrie Manore,Candice Price
Publisher : Springer
Page : 270 pages
File Size : 44,6 Mb
Release : 2018-10-31
Category : Mathematics
ISBN : 9783319986845

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Advances in the Mathematical Sciences by Alyson Deines,Daniela Ferrero,Erica Graham,Mee Seong Im,Carrie Manore,Candice Price Pdf

Featuring research from the 2017 research symposium of the Association for Women in Mathematics, this volume presents recent findings in pure mathematics and a range of advances and novel applications in fields such as engineering, biology, and medicine. Featured topics include geometric group theory, generalized iterated wreath products of cyclic groups and symmetric groups, Conway-Coxeter friezes and mutation, and classroom experiments in teaching collegiate mathematics. A review of DNA topology and a computational study of learning-induced sequence reactivation during sharp-wave ripples are also included in this volume. Numerous illustrations and tables convey key results throughout the book. This volume highlights research from women working in academia, industry, and government. It is a helpful resource for researchers and graduate students interested in an overview of the latest research in mathematics.

Author : T. Ananth Kumar,E. Golden Julie,Y. Harold Robinson,S. M. Jaisakthi
Publisher : John Wiley & Sons
Page : 370 pages
File Size : 43,7 Mb
Release : 2021-08-16
Category : Mathematics
ISBN : 9781119785507

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Simulation and Analysis of Mathematical Methods in Real-Time Engineering Applications by T. Ananth Kumar,E. Golden Julie,Y. Harold Robinson,S. M. Jaisakthi Pdf

SIMULATIONS AND ANALYSIS of Mathematical Methods Written and edited by a group of international experts in the field, this exciting new volume covers the state of the art of real-time applications of computer science using mathematics. This breakthrough edited volume highlights the security, privacy, artificial intelligence, and practical approaches needed by engineers and scientists in all fields of science and technology. It highlights the current research, which is intended to advance not only mathematics but all areas of science, research, and development, and where these disciplines intersect. As the book is focused on emerging concepts in machine learning and artificial intelligence algorithmic approaches and soft computing techniques, it is an invaluable tool for researchers, academicians, data scientists, and technology developers. The newest and most comprehensive volume in the area of mathematical methods for use in real-time engineering, this groundbreaking new work is a must-have for any engineer or scientist’s library. Also useful as a textbook for the student, it is a valuable contribution to the advancement of the science, both a working handbook for the new hire or student, and a reference for the veteran engineer.

Author : D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang
Publisher : Springer
Page : 646 pages
File Size : 47,5 Mb
Release : 2018-11-04
Category : Computers
ISBN : 9783319997193

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Recent Advances in Mathematical and Statistical Methods by D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang Pdf

This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

Author : Bourama Toni
Publisher : Springer Nature
Page : 150 pages
File Size : 54,6 Mb
Release : 2021-12-06
Category : Science
ISBN : 9783030845964

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The Mathematics of Patterns, Symmetries, and Beauties in Nature by Bourama Toni Pdf

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.