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Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science, Thomas Huckle, Tobias Neckel


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Автор: Thomas Huckle, Tobias Neckel
Название:  Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science
ISBN: 9781611975550
Издательство: Mare Nostrum (Eurospan)
Классификация:





ISBN-10: 1611975557
Обложка/Формат: Paperback
Страницы: 251
Вес: 0.56 кг.
Дата издания: 30.04.2019
Серия: Software, environments, and tools
Язык: English
Размер: 180 x 258 x 15
Читательская аудитория: Professional and scholarly
Ключевые слова: Computer science,Calculus & mathematical analysis,Differential calculus & equations,Numerical analysis,Maths for scientists,Applied mathematics
Подзаголовок: A scientific and historical review of software failures in computational science
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Поставляется из: Англии
Описание: In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyzes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchronization); and numerical data (such as input of data and design of control logic).Readers will find lists of related, interesting bugs, MATLAB examples, and excursions that provide necessary background, as well as an in-depth analysis of various aspects of the selected bugs. Illustrative examples of numerical principles such as machine numbers, rounding errors, condition numbers, and complexity are also included.This book is intended for students, teachers, and researchers in scientific computing, computer science, and applied mathematics. It is also an entertaining and motivating introduction for those with a minimum background in mathematics or computer science. Bits and Bugs can be used for courses in numerical analysis, numerical methods in linear algebra/ODEs/PDEs, introductory software engineering, introductory scientific computing, and parallel programming.
Дополнительное описание: Applied mathematics|Numerical analysis|Computer science|Maths for scientists|Differential calculus and equations


KAM Story

Автор: Dumas H. Scott
Название: KAM Story
ISBN: 9814556580 ISBN-13(EAN): 9789814556583
Издательство: World Scientific Publishing
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Цена: 65470.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a "breakthrough"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science.

First Course In Integral Equations, A (Second Edition)

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 42240.00 T
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Infinite-Dimensional Dynamical Systems In Atmospheric And Oceanic Science

Автор: Guo Boling Et Al
Название: Infinite-Dimensional Dynamical Systems In Atmospheric And Oceanic Science
ISBN: 9814590371 ISBN-13(EAN): 9789814590372
Издательство: World Scientific Publishing
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Цена: 114050.00 T
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Описание:

The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given.


Biomat 2015 - International Symposium on Mathematical and Computational Biology

Автор: Mondaini Rubem P.
Название: Biomat 2015 - International Symposium on Mathematical and Computational Biology
ISBN: 9813141905 ISBN-13(EAN): 9789813141902
Издательство: World Scientific Publishing
Цена: 166850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences. The chapters are related to selected papers on the research themes presented at BIOMAT 2015 International Symposium on Mathematical and Computational Biology which was held in the Roorkee Institute of Technology, in Roorkee, Uttarakhand, India, on November 02-06, 2015. The treatment is both pedagogical and advanced in order to motivate research students to fulfill the requirements of professional practitioners. As in other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups.

There are new results based on the state of art research in Population Dynamics, on Pattern Recognition of Biological Phenomena, the Mathematical Modelling of Infectious Diseases, Computational Biology, the Dynamic and Geometric Modelling of Biological Phenomena, the Modelling of Physiological Disorders, the Optimal Control Techniques in Mathematical Modelling of Biological Phenomena, the Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth and the Mathematical Morphology of Biological Structures. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.


Foundations of Complex Systems

Автор: Nicolis Gregoire
Название: Foundations of Complex Systems
ISBN: 9814366609 ISBN-13(EAN): 9789814366601
Издательство: World Scientific Publishing
Цена: 110880.00 T
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Описание: This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.

Biomat 2013: Proceedings of the International Symposium on Mathematical and Computational Biology Toronto, Ontario, Canada 4 8 Nove

Автор: Mondaini Rubem P.
Название: Biomat 2013: Proceedings of the International Symposium on Mathematical and Computational Biology Toronto, Ontario, Canada 4 8 Nove
ISBN: 9814602213 ISBN-13(EAN): 9789814602211
Издательство: World Scientific Publishing
Цена: 143610.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a book of a series on interdisciplinary topics on the Biological and Mathematical Sciences. The chapters correspond to selected papers on special research themes, which have been presented at BIOMAT 2013 International Symposium on Mathematical and Computational Biology which was held in the Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada, on November 04 - 08, 2013. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by prominent scientific leaders of famous research groups.

Navier-Stokes Equations in Planar Domains

Автор: Ben Artzi Matania
Название: Navier-Stokes Equations in Planar Domains
ISBN: 1848162758 ISBN-13(EAN): 9781848162754
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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Описание: Deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. This book describes various aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as `driven cavity` and `double-driven cavity`.

A First Course in Integral Equations: 2nd Edition

Автор: Wazwaz Abdul-Majid
Название: A First Course in Integral Equations: 2nd Edition
ISBN: 9814675113 ISBN-13(EAN): 9789814675116
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Complex Quantum Systems

Автор: Siedentop Heinz
Название: Complex Quantum Systems
ISBN: 9814460141 ISBN-13(EAN): 9789814460149
Издательство: World Scientific Publishing
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Цена: 96090.00 T
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Описание: This volume is based on lectures given during the program "Complex Quantum Systems" held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and -- the most complex -- semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.

Advanced Mathematical And Computational Tools In Metrology And Testing Ix

Автор: Pavese Franco Et Al
Название: Advanced Mathematical And Computational Tools In Metrology And Testing Ix
ISBN: 9814397946 ISBN-13(EAN): 9789814397940
Издательство: World Scientific Publishing
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Цена: 157350.00 T
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Описание: This volume contains original, refereed worldwide contributions. They were prompted by presentations made at the ninth AMCTM Conference held in G teborg (Sweden) in June 2011 on the theme of advanced mathematical and computational tools in metrology and also, in the title of this book series, in testing.The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also in keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards.

Oscillator And Pendulum With A Random Mass

Автор: Gitterman Moshe
Название: Oscillator And Pendulum With A Random Mass
ISBN: 9814630748 ISBN-13(EAN): 9789814630740
Издательство: World Scientific Publishing
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Цена: 71810.00 T
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Описание:

Stochastic descriptions of a harmonic oscillator can be obtained by adding additive noise, or/and three types of multiplicative noise: random frequency, random damping and random mass. The first three types of noise were intensively studied in many published articles. In this book the fourth case, that of random mass, is considered in the context of the harmonic oscillator and its immediate nonlinear generalization -- the pendulum. To our knowledge it is the first book fully dedicated to this problem.

Two interrelated methods, the Langevin equation and the Fokker-Planck equations, as well as the Lyapunov stability method are used for the mathematical analysis. After a short introduction, the two main parts of the book describe the different properties of the random harmonic oscillator and the random pendulum with random masses. As an example, the stochastic resonance is studied, where the noise plays an unusual role, increasing the applied weak periodic signal, and also the vibration resonance in dynamic systems, where the role of noise is played by the second high-frequency periodic signal.

First and second averaged moments have been calculated for a system with different types of additive and multiplicative noises, which define the stability of a system. The calculations have been extended to two multiplicative noises and to quadratic noise. This book is useful for students and scientists working in different fields of statistical physics.


Fractional Partial Differential Equations And Their Numerical Solutions

Автор: Guo Boling Et Al
Название: Fractional Partial Differential Equations And Their Numerical Solutions
ISBN: 9814667048 ISBN-13(EAN): 9789814667043
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание:

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear SchrOdinger equations, fractional Landau-Lifshitz equations and fractional Ginzburg-Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.



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