Mathematical And Computational Models
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Mathematical And Computational Modeling And Simulation
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Author : Dietmar P.F. Möller
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical And Computational Modeling And Simulation written by Dietmar P.F. Möller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This introduction and textbook familiarizes engineers with the use of mathematical and computational modeling and simulation in a way that develops their understanding of the solution characteristics of a broad class of real-world problems. The relevant basic and advanced methodologies are explained in detail, with special emphasis on ill-defined problems. Some fifteen simulation systems are presented on the language and the logical level. Moreover, the reader also can accumulate an experiential overview by studying the wide variety of case studies spanning much of science and engineering. The latter are briefly described within the book but their full versions as well as some simulation software demos are available on the Web. The book can be used for courses on various levels as well as for self-study. Advanced sections are identified and can be skipped in a first reading or in undergraduate courses.
Mathematical And Computational Models
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Author : G. Arulmozhi
language : en
Publisher: Allied Publishers
Release Date : 2003
Mathematical And Computational Models written by G. Arulmozhi and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computer simulation categories.
Mathematical And Computational Modeling
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Author : Roderick Melnik
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-21
Mathematical And Computational Modeling written by Roderick Melnik and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-21 with Mathematics categories.
Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.
Introduction To Elementary Computational Modeling
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Author : Jose Garrido
language : en
Publisher: CRC Press
Release Date : 2011-10-26
Introduction To Elementary Computational Modeling written by Jose Garrido and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-26 with Mathematics categories.
With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are included that demonstrate the computation and visualization of the implemented models. The author provides case studies, along with an overview of computational models and their development. The first part of the text presents the basic concepts of models and techniques for designing and implementing problem solutions. It applies standard pseudo-code constructs and flowcharts for designing models. The second part covers model implementation with basic programming constructs using MATLAB®, Octave, and FreeMat. Aimed at beginning students in computer science, mathematics, statistics, and engineering, Introduction to Elementary Computational Modeling: Essential Concepts, Principles, and Problem Solving focuses on fundamentals, helping the next generation of scientists and engineers hone their problem solving skills.
Computational Models Of Complex Systems
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Author : Vijay Kumar Mago
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-31
Computational Models Of Complex Systems written by Vijay Kumar Mago and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-31 with Technology & Engineering categories.
Computational and mathematical models provide us with the opportunities to investigate the complexities of real world problems. They allow us to apply our best analytical methods to define problems in a clearly mathematical manner and exhaustively test our solutions before committing expensive resources. This is made possible by assuming parameter(s) in a bounded environment, allowing for controllable experimentation, not always possible in live scenarios. For example, simulation of computational models allows the testing of theories in a manner that is both fundamentally deductive and experimental in nature. The main ingredients for such research ideas come from multiple disciplines and the importance of interdisciplinary research is well recognized by the scientific community. This book provides a window to the novel endeavours of the research communities to present their works by highlighting the value of computational modelling as a research tool when investigating complex systems. We hope that the readers will have stimulating experiences to pursue research in these directions.
Computational Modeling In Cognition
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Author : Stephan Lewandowsky
language : en
Publisher: SAGE
Release Date : 2010-11-29
Computational Modeling In Cognition written by Stephan Lewandowsky and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-29 with Psychology categories.
Key Features --
Computational Mathematical Modeling
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Author : Daniela Calvetti
language : en
Publisher: SIAM
Release Date : 2013-03-21
Computational Mathematical Modeling written by Daniela Calvetti and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.
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.
Mathematical And Computational Methods For Modelling Approximation And Simulation
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Author : Domingo Barrera
language : en
Publisher: Springer Nature
Release Date : 2022-05-08
Mathematical And Computational Methods For Modelling Approximation And Simulation written by Domingo Barrera and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-08 with Mathematics categories.
This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. The book includes nine contributions, mostly related to quasi-interpolation. This is a topic that continues to register a high level of interest, both for those working in the field of approximation theory and for those interested in its use in a practical context. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on the notion of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of the solution of a Volterra equation), the use of smoothing splines to address an economic problem and, finally, the analysis of poverty measures, which is a topic of increased interest to society. The book is addressed to researchers interested in Applied Mathematics, with particular reference to the aforementioned topics.
Mathematical And Computational Models Of Flows And Waves In Geophysics
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Author : Gerardo Hernández-Dueñas
language : en
Publisher: Springer Nature
Release Date : 2022-11-03
Mathematical And Computational Models Of Flows And Waves In Geophysics written by Gerardo Hernández-Dueñas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Mathematics categories.
This volume proposes an integral approach to studying the geophysics of Earth. It is motivated by a variety of phenomena from nature with deep and direct impacts in our lives. Such events may evolve across a large range of spatial and time scales and may be observed in the ocean, the atmosphere, the volcanic surface as well as underground. The physical laws dictating the evolution of such phenomena lead to the unifying theme of this manuscript, that is, the mathematical and computational modeling of flows and waves. Consequently, the underlying models are given in terms of Partial Differential Equations (PDEs) whose solutions are approximated using numerical methods, thus providing simulations of the aforementioned phenomena, as well as the appropriate geophysical validation and interpretation.
Computational Models In Engineering
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Author : Konstantin Volkov
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-03-11
Computational Models In Engineering written by Konstantin Volkov and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Computers categories.
The accurate prediction of multi-physical and multi-scale physical/chemical/mechanical processes in engineering remains a challenging problem despite considerable work in this area and the acceptance of finite element analysis and computational fluid dynamics as design tools. This book intends to provide the reader with an overview of the latest developments in computational techniques used in various engineering disciplines. The book includes leading-edge scientific contributions of computational and applied mathematics, computer science and engineering focusing on the modelling and simulation of complex engineering systems and multi-physical/multi-scale engineering problems. The following topics are covered: numerical analysis and algorithms, software development, coupled analysis, multi-criteria optimization as they applied to all kinds of applied and emerging problems in energy systems, additive manufacturing, propulsion systems, and thermal engineering.