Computational Mathematics Methods Models And Analysis
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Computational Mathematics
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Author : Robert E. White
language : en
Publisher: CRC Press
Release Date : 2003-09-17
Computational Mathematics written by Robert E. White and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-17 with Mathematics categories.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white. This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.
Computational Mathematics
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Author : Robert E. White
language : en
Publisher: CRC Press
Release Date : 2015-11-11
Computational Mathematics written by Robert E. White and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-11 with Mathematics categories.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requirin
Computational Mathematics Methods Models And Analysis
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Author : Lawrence Grattan
language : en
Publisher:
Release Date : 2020-09-22
Computational Mathematics Methods Models And Analysis written by Lawrence Grattan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-22 with Mathematics categories.
The field of computational mathematics deals with two different aspects of relations between mathematics and computing. Firstly, it is concerned with using mathematics for the improvement of computer computation in applied mathematics. Secondly, it focuses on the use of computers for mathematical computations. Computational mathematics focuses on mathematical research in those areas of science where computing plays an important role. There are several significant areas of computational mathematics such as numerical methods for scientific computation, computational algebraic geometry, computational linguistics, computational group theory, computational complexity, mathematical economics, among others. This book traces the progress of this field and highlights some of its key concepts and applications. It strives to provide a fair idea about this discipline and to help develop a better understanding of the models and methods of computational mathematics. It is a vital tool for all researching and studying this field.
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.
Modelling Mathematical Methods And Scientific Computation
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Author : Nicola Bellomo
language : en
Publisher: CRC Press
Release Date : 1994-12-22
Modelling Mathematical Methods And Scientific Computation written by Nicola Bellomo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-22 with Mathematics categories.
Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.
Computational Mathematics
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Author : ROBERT E. WHITE
language : en
Publisher:
Release Date : 2023
Computational Mathematics written by ROBERT E. WHITE and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with 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.
Complex Models And Computational Methods In Statistics
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Author : Matteo Grigoletto
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-26
Complex Models And Computational Methods In Statistics written by Matteo Grigoletto 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 2013-01-26 with Mathematics categories.
The use of computational methods in statistics to face complex problems and highly dimensional data, as well as the widespread availability of computer technology, is no news. The range of applications, instead, is unprecedented. As often occurs, new and complex data types require new strategies, demanding for the development of novel statistical methods and suggesting stimulating mathematical problems. This book is addressed to researchers working at the forefront of the statistical analysis of complex systems and using computationally intensive statistical methods.
Advances In Mathematical Methods And High Performance Computing
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Author : Vinai K. Singh
language : en
Publisher: Springer
Release Date : 2019-02-14
Advances In Mathematical Methods And High Performance Computing written by Vinai K. Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-14 with Computers categories.
This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.
Multiscale Modeling And Analysis For Materials Simulation
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Author : Weizhu Bao
language : en
Publisher: World Scientific
Release Date : 2011-09-13
Multiscale Modeling And Analysis For Materials Simulation written by Weizhu Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-13 with Mathematics categories.
The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on “Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design” from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers.This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models.This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.