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This 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 tool in all areas of applications of mathematics. The articles cover both fundamental and applied research, and provide the reader with state-of-the-art achievements in the development and application of new theories at the interfaces of applied mathematics, modeling, and computational science. The book can serve as a reference on several important current topics in modern applied mathematics and modeling, including random matrix theory with its innovative applications, and dynamic blocking problems. Other important areas covered include: energy stable weighted essentially non-oscillatory schemes with applications in fluid dynamics and aerospace sciences; elliptic curves over finite fields and their applications in cryptography; multiple scale methods coupling network and continuum models and their applications in various areas involving porous media; new and efficient finite difference schemes for hyperbolic equations; statistical geometric  and topological techniques and their applications in the life sciences; optimal control applications combining discrete and continuous features. The material presented in 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 a variety of applications ranging from engineering to life sciences, and provide a rich source for graduate student projects.

Computer science -- Mathematics. --- Mathematical models. --- Mathematics. --- Mathematics --- Mathematical models --- Computer science --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematical Theory --- Mathematics - General --- Computer simulation. --- Computer science. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Informatics --- Models, Mathematical --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Math --- Applied mathematics. --- Engineering mathematics. --- Biomathematics. --- Mathematical Modeling and Industrial Mathematics. --- Applications of Mathematics. --- Mathematical and Computational Biology. --- Simulation methods --- Science --- Biology --- Engineering --- Engineering analysis --- Mathematical analysis --- Electromechanical analogies --- Model-integrated computing

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This 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 tool in all areas of applications of mathematics. The articles cover both fundamental and applied research, and provide the reader with state-of-the-art achievements in the development and application of new theories at the interfaces of applied mathematics, modeling, and computational science. The book can serve as a reference on several important current topics in modern applied mathematics and modeling, including random matrix theory with its innovative applications, and dynamic blocking problems. Other important areas covered include: energy stable weighted essentially non-oscillatory schemes with applications in fluid dynamics and aerospace sciences; elliptic curves over finite fields and their applications in cryptography; multiple scale methods coupling network and continuum models and their applications in various areas involving porous media; new and efficient finite difference schemes for hyperbolic equations; statistical geometric  and topological techniques and their applications in the life sciences; optimal control applications combining discrete and continuous features. The material presented in 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 a variety of applications ranging from engineering to life sciences, and provide a rich source for graduate student projects.

Mathematics --- Mathematics --- Biology --- Planning (firm) --- Computer science --- toegepaste wiskunde --- biologie --- informatica --- mathematische modellen --- wiskunde --- wiskunde

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This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description. Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale. The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified. The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.

Mathematics. --- Mathematical physics. --- Computer mathematics. --- Biomathematics. --- Mathematical Applications in the Physical Sciences. --- Computational Science and Engineering. --- Statistical Physics and Dynamical Systems. --- Physiological, Cellular and Medical Topics. --- Biotechnology --- Nanotechnology --- Mathematical models --- Molecular technology --- Nanoscale technology --- High technology --- Chemical engineering --- Genetic engineering --- Computer science. --- Statistical physics. --- Physiology --- Animal physiology --- Animals --- Biology --- Anatomy --- Physics --- Mathematical statistics --- Informatics --- Science --- Statistical methods --- Computer mathematics --- Electronic data processing --- Mathematics --- Physical mathematics

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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.

Planning (firm) --- Computer science --- computers --- informatica --- mathematische modellen --- informaticaonderzoek --- computerkunde

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In July 1998 the first NEMACOM (NEw Methods in Applied and COmputational Mathematics) workshop was held at the campus of the University of Southern Queensland at Hervey Bay on the Wide-Bay-Burnett coast of Queensland. At the workshop a number of different topics in applied and computational mathematics were presented ranging from computational statistics and stochastic processes, through optimization, optimal control, graph theoretic methods in computational mathematics, the use of dynamical systems techniques for meteorology, modelling the solar atmosphere and geo-hydrological processes, simulating rigid-body dynamics, and the future of the Fast Fourier Transform.

Mathematical analysis