Advances In Mathematical And Computational Methods Addressing Modern Challenges Of Science Technology And Society

Author : Ilias Kotsireas,Roderick Melnik,Brian West
Publisher : American Inst. of Physics
Page : 0 pages
File Size : 43,7 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 : Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Publisher : Springer
Page : 555 pages
File Size : 46,6 Mb
Release : 2015-07-03
Category : Computers
ISBN : 9783319123073

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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science by Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev Pdf

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.

Author : D. Marc Kilgour,Herb Kunze,Roman Makarov,Roderick Melnik,Xu Wang
Publisher : Springer
Page : 646 pages
File Size : 55,8 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 : Johan Hoffman
Publisher : SIAM
Page : 425 pages
File Size : 46,8 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 : United States. Congress. House. Committee on Science, Space, and Technology (2011). Subcommittee on Energy
Publisher : Unknown
Page : 98 pages
File Size : 40,6 Mb
Release : 2015
Category : High performance computing
ISBN : STANFORD:36105050692883

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Supercomputing and American Technology Leadership by United States. Congress. House. Committee on Science, Space, and Technology (2011). Subcommittee on Energy Pdf

Author : Nikos Mastorakis,John Sakellaris
Publisher : Springer
Page : 434 pages
File Size : 45,9 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 0387567844

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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 : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 223 pages
File Size : 48,8 Mb
Release : 2013-06-13
Category : Mathematics
ISBN : 9780309284578

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The Mathematical Sciences in 2025 by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

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.

Author : Roderick Melnik,Roman Makarov,Jacques Belair
Publisher : Springer
Page : 0 pages
File Size : 42,8 Mb
Release : 2018-08-03
Category : Mathematics
ISBN : 1493983555

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Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science by Roderick Melnik,Roman Makarov,Jacques Belair Pdf

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.

Author : Daniela Calvetti,Erkki Somersalo
Publisher : SIAM
Page : 229 pages
File Size : 42,9 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9781611972474

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Computational Mathematical Modeling by Daniela Calvetti,Erkki Somersalo Pdf

Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.

Author : Frank Natterer,Frank Wuebbeling
Publisher : SIAM
Page : 226 pages
File Size : 49,5 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898716221

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Mathematical Methods in Image Reconstruction by Frank Natterer,Frank Wuebbeling Pdf

This book provides readers with a superior understanding of the mathematical principles behind imaging.

Author : A. J. Roberts
Publisher : SIAM
Page : 140 pages
File Size : 40,9 Mb
Release : 2009-03-12
Category : Mathematics
ISBN : 9780898716672

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Elementary Calculus of Financial Mathematics by A. J. Roberts Pdf

Financial mathematics and its calculus introduced in an accessible manner for undergraduate students.

Author : Khosrow Chadan,David Colton,William Rundell,Lassi P?iv?rinta
Publisher : SIAM
Page : 208 pages
File Size : 42,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0898719712

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An Introduction to Inverse Scattering and Inverse Spectral Problems by Khosrow Chadan,David Colton,William Rundell,Lassi P?iv?rinta Pdf

Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.

Author : Per Christian Hansen
Publisher : SIAM
Page : 259 pages
File Size : 44,6 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898714036

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Rank-Deficient and Discrete Ill-Posed Problems by Per Christian Hansen Pdf

Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, tomography, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are either exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of the given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about some interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and on the efficiency and reliability of the computations. The setting is that of numerical linear algebra rather than abstract functional analysis, and the theoretical development is complemented with numerical examples and figures that illustrate the features of the various algorithms.

Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
Publisher : SIAM
Page : 307 pages
File Size : 43,5 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898718256

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A Course in Mathematical Biology by Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch Pdf

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Author : John B. Drake
Publisher : SIAM
Page : 169 pages
File Size : 46,6 Mb
Release : 2014-08-26
Category : Mathematics
ISBN : 9781611973532

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Climate Modeling for Scientists and Engineers by John B. Drake Pdf

Climate modeling and simulation teach us about past, present, and future conditions of life on earth and help us understand observations about the changing atmosphere and ocean and terrestrial ecology. Focusing on high-end modeling and simulation of earth's climate, Climate Modeling for Scientists and Engineers presents observations about the general circulations of the earth and the partial differential equations used to model the dynamics of weather and climate, covers numerical methods for geophysical flows in more detail than many other texts, discusses parallel algorithms and the role of high-performance computing used in the simulation of weather and climate, and provides over 100 pages of supplemental lectures and MATLAB? exercises on an associated web page. This book is intended for graduate students in science and engineering. It is also useful for a broad spectrum of computational science and engineering researchers, especially those who want a brief introduction to the methods and capabilities of climate models and those who use climate model results in their investigations. Information on numerical methods used to solve the equations of motion and climate simulations using parallel algorithms on high-performance computers challenges researchers who aim to improve the prediction of climate on decadal to century time scales.