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

Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society PDF Author: Ilias Kotsireas
Publisher: American Inst. of Physics
ISBN: 9780735409286
Category : Science
Languages : en
Pages : 0

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Book Description
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.

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

Advances In Mathematical And Computational Methods: Addressing Modern Challenges of Science, Technology, and Society PDF Author: Ilias Kotsireas
Publisher: American Inst. of Physics
ISBN: 9780735409286
Category : Science
Languages : en
Pages : 0

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Book Description
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

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science PDF Author: Monica G. Cojocaru
Publisher: Springer
ISBN: 3319123076
Category : Computers
Languages : en
Pages : 555

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Book Description
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.

The Mathematical Sciences in 2025

The Mathematical Sciences in 2025 PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309284570
Category : Mathematics
Languages : en
Pages : 223

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Book Description
The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Advances in Numerical Methods

Advances in Numerical Methods PDF Author: Nikos Mastorakis
Publisher: Springer
ISBN: 9780387567846
Category : Mathematics
Languages : en
Pages : 434

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Book Description
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.

Recent Advances in Mathematical and Statistical Methods

Recent Advances in Mathematical and Statistical Methods PDF Author: D. Marc Kilgour
Publisher: Springer
ISBN: 331999719X
Category : Computers
Languages : en
Pages : 646

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Book Description
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.

Methods in Computational Science

Methods in Computational Science PDF Author: Johan Hoffman
Publisher: SIAM
ISBN: 1611976723
Category : Computers
Languages : en
Pages : 425

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Book Description
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.

Supercomputing and American Technology Leadership

Supercomputing and American Technology Leadership PDF Author: United States. Congress. House. Committee on Science, Space, and Technology (2011). Subcommittee on Energy
Publisher:
ISBN:
Category : High performance computing
Languages : en
Pages : 98

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Book Description


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

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science PDF Author: Roderick Melnik
Publisher: Springer
ISBN: 9781493983551
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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.

Computational Science

Computational Science PDF Author: Giorgino Mondo
Publisher:
ISBN: 9781681179582
Category :
Languages : en
Pages : 400

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Book Description
"Computational Science is a swiftly growing multi- and interdisciplinary field that uses advanced computing and data analysis to understand and solve complex problems. Computational science refers to the use of computers, networks, storage devices, software, and algorithms to solve problems, the development of models, systems, algorithms, do simulations, or create new knowledge. Since the advent of the computer, its latent to advance scientific investigation has been recognized. From the design and application of early computers to aid in the cracking of codes during WWII and the simulations leading to the hydrogen bomb in 1952, the use of computers and the development of algorithms and systems in the service of computational science were born. Since that time, the computer has become a crucial appliance of business and an essential facet of science. Computational simulation is being accepted as a third methodology in scientific research, complementing the traditional approaches of theory and experiment. Computer simulations provide both qualitative and quantitative insights into many phenomena that are too complex to be dealt with by analytical methods or too expensive or dangerous to study by experiments. Many experiments and investigations that have traditionally been performed in a laboratory, a wind tunnel, or the field are being augmented or replaced by computer simulations. Some studies, such as nuclear repository integrity and global climate change, involve time scales that preclude the use of realistic physical experiments. The availability of high performance computers, graphic workstations, and high speed networks, coupled with major advances in algorithms and software, has brought about a revolution in the way scientific and engineering investigations are carried out. Computational Science is aimed to provide important research in different areas covering all aspects of mathematical and computational science, such as numerical analysis, optimization, linear and nonlinear programming, and theory of computation, theory of algorithms, computational logic, and applied combinatorics. It combines computational thinking, modern computational methods, devices and collateral technologies to address problems far beyond the scope of traditional numerical methods. It also presents original research in simulation based science across all scientific disciplines and advanced innovative, interdisciplinary research where complex multi-scale, multi-domain problems in science and engineering are solved, integrating sophisticated numerical methods and computation."

Trends and Perspectives in Modern Computational Science

Trends and Perspectives in Modern Computational Science PDF Author: George Maroulis
Publisher: CRC Press
ISBN: 9004155414
Category : Mathematics
Languages : en
Pages : 605

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Book Description
This volume contains a collection of the lectures of the invited speakers and symposium organizers presented at the International Conference of Computational methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The content of the papers bears upon new developments of Computational Science pertinent to Physics, Chemistry, Biology, Medicine, Mathematics and Engineering. Molecular Science is a privileged ground for the application and evaluation of new mathematical tools and computational methods. In recent years, novelty and progress with greatest conceivable speed is common experience. This flavor of research findings carrying many consequences for distant fields is easily evidenced in the lectures collected in this volume.