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| Author | : Alfredo Deano |
| Publisher | : SIAM |
| Total Pages | : 207 |
| Release | : 2018-01-01 |
| Genre | : Mathematics |
| ISBN | : 1611975123 |
Download Computing Highly Oscillatory Integrals Book in PDF, ePub and Kindle
Highly oscillatory phenomena range across numerous areas in science and engineering and their computation represents a difficult challenge. A case in point is integrals of rapidly oscillating functions in one or more variables. The quadrature of such integrals has been historically considered very demanding. Research in the past 15 years (in which the authors played a major role) resulted in a range of very effective and affordable algorithms for highly oscillatory quadrature. This is the only monograph bringing together the new body of ideas in this area in its entirety. The starting point is that approximations need to be analyzed using asymptotic methods rather than by more standard polynomial expansions. As often happens in computational mathematics, once a phenomenon is understood from a mathematical standpoint, effective algorithms follow. As reviewed in this monograph, we now have at our disposal a number of very effective quadrature methods for highly oscillatory integrals--Filon-type and Levin-type methods, methods based on steepest descent, and complex-valued Gaussian quadrature. Their understanding calls for a fairly varied mathematical toolbox--from classical numerical analysis, approximation theory, and theory of orthogonal polynomials all the way to asymptotic analysis--yet this understanding is the cornerstone of efficient algorithms.
| Author | : Kwok-Chiu Chung |
| Publisher | : |
| Total Pages | : |
| Release | : 1998 |
| Genre | : |
| ISBN | : |
Download Computing Oscillatory Integrals by Complex Methods Book in PDF, ePub and Kindle
| Author | : Valeria V. Krzhizhanovskaya |
| Publisher | : Springer Nature |
| Total Pages | : 715 |
| Release | : 2020-06-18 |
| Genre | : Computers |
| ISBN | : 3030504174 |
Download Computational Science – ICCS 2020 Book in PDF, ePub and Kindle
The seven-volume set LNCS 12137, 12138, 12139, 12140, 12141, 12142, and 12143 constitutes the proceedings of the 20th International Conference on Computational Science, ICCS 2020, held in Amsterdam, The Netherlands, in June 2020.* The total of 101 papers and 248 workshop papers presented in this book set were carefully reviewed and selected from 719 submissions (230 submissions to the main track and 489 submissions to the workshops). The papers were organized in topical sections named: Part I: ICCS Main Track Part II: ICCS Main Track Part III: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Agent-Based Simulations, Adaptive Algorithms and Solvers; Applications of Computational Methods in Artificial Intelligence and Machine Learning; Biomedical and Bioinformatics Challenges for Computer Science Part IV: Classifier Learning from Difficult Data; Complex Social Systems through the Lens of Computational Science; Computational Health; Computational Methods for Emerging Problems in (Dis-)Information Analysis Part V: Computational Optimization, Modelling and Simulation; Computational Science in IoT and Smart Systems; Computer Graphics, Image Processing and Artificial Intelligence Part VI: Data Driven Computational Sciences; Machine Learning and Data Assimilation for Dynamical Systems; Meshfree Methods in Computational Sciences; Multiscale Modelling and Simulation; Quantum Computing Workshop Part VII: Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks and Machine Learning; Software Engineering for Computational Science; Solving Problems with Uncertainties; Teaching Computational Science; UNcErtainty QUantIficatiOn for ComputationAl modeLs *The conference was canceled due to the COVID-19 pandemic.
| Author | : H. M. Srivastava |
| Publisher | : MDPI |
| Total Pages | : 510 |
| Release | : 2019-11-20 |
| Genre | : Technology & Engineering |
| ISBN | : 303921618X |
Download Integral Transforms and Operational Calculus Book in PDF, ePub and Kindle
Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications
| Author | : R. Wong |
| Publisher | : Academic Press |
| Total Pages | : 561 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483220710 |
Download Asymptotic Approximations of Integrals Book in PDF, ePub and Kindle
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
| Author | : Jennifer S. Raj |
| Publisher | : Springer Nature |
| Total Pages | : 845 |
| Release | : 2020-11-30 |
| Genre | : Technology & Engineering |
| ISBN | : 303049795X |
Download International Conference on Mobile Computing and Sustainable Informatics Book in PDF, ePub and Kindle
Sustainability and mobile computing embraces a wide range of Information and Communication Technologies [ICT] in recent times. This book focuses more on the recent research and development works in almost all the facets of sustainable, ubiquitous computing and communication paradigm. The recent research efforts on this evolving paradigm help to advance the technologies for next-generation, where socio-economic growth and sustainability poses significant challenges to the computing and communication infrastructures. The main purpose of this book is to promote the technical advances and impacts of sustainability and mobile computing to the informatics research. The key strands of this book include green computing, predictive models, mobility, data analytics, mobile computing, optimization, Quality of Service [QoS], new communicating and computing frameworks, human computer interaction, Artificial Intelligence [AI], communication networks, risk management, Ubiquitous computing, robotics, smart city and applications. The book has also addressed myriad of sustainability challenges in various computing and information processing infrastructures.
| Author | : Bjorn Engquist |
| Publisher | : Cambridge University Press |
| Total Pages | : 254 |
| Release | : 2009-07-02 |
| Genre | : Mathematics |
| ISBN | : 0521134439 |
Download Highly Oscillatory Problems Book in PDF, ePub and Kindle
Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
| Author | : |
| Publisher | : |
| Total Pages | : 11 |
| Release | : 2009 |
| Genre | : |
| ISBN | : |
Download Experimental Computation with Oscillatory Integrals Book in PDF, ePub and Kindle
A previous study by one of the present authors, together with D. Borwein and I. Leonard [8], studied the asymptotic behavior of the p-norm of the sinc function: sinc(x) = (sin x)/x and along the way looked at closed forms for integer values of p. In this study we address these integrals with the tools of experimental mathematics, namely by computing their numerical values to high precision, both as a challenge in itself, and also in an attempt to recognize the numerical values as closed-form constants. With this approach, we are able to reproduce several of the results of [8] and to find new results, both numeric and analytic, that go beyond the previous study.
| Author | : Gradimir V. Milovanović |
| Publisher | : Springer |
| Total Pages | : 873 |
| Release | : 2014-07-08 |
| Genre | : Mathematics |
| ISBN | : 149390258X |
Download Analytic Number Theory, Approximation Theory, and Special Functions Book in PDF, ePub and Kindle
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
| Author | : Simon Sirca |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 724 |
| Release | : 2012-12-17 |
| Genre | : Science |
| ISBN | : 3642324789 |
Download Computational Methods for Physicists Book in PDF, ePub and Kindle
This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.
