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Quadrature Theory
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Download or read book Quadrature Theory written by Helmut Brass and published by American Mathematical Soc.. This book was released on 2011-10-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every book on numerical analysis covers methods for the approximate calculation of definite integrals. The authors of this book provide a complementary treatment of the topic by presenting a coherent theory of quadrature methods that encompasses many deep and elegant results as well as a large number of interesting (solved and open) problems. The inclusion of the word ``theory'' in the title highlights the authors' emphasis on analytical questions, such as the existence and structure of quadrature methods and selection criteria based on strict error bounds for quadrature rules. Systematic analyses of this kind rely on certain properties of the integrand, called ``co-observations,'' which form the central organizing principle for the authors' theory, and distinguish their book from other texts on numerical integration. A wide variety of co-observations are examined, as a detailed understanding of these is useful for solving problems in practical contexts. While quadrature theory is often viewed as a branch of numerical analysis, its influence extends much further. It has been the starting point of many far-reaching generalizations in various directions, as well as a testing ground for new ideas and concepts. The material in this book should be accessible to anyone who has taken the standard undergraduate courses in linear algebra, advanced calculus, and real analysis.
Book Synopsis Differential Quadrature and Differential Quadrature Based Element Methods by : Xinwei Wang
Download or read book Differential Quadrature and Differential Quadrature Based Element Methods written by Xinwei Wang and published by Butterworth-Heinemann. This book was released on 2015-03-24 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures. This book covers new developments and their applications in detail, with accompanying FORTRAN and MATLAB programs to help you overcome difficult programming challenges. It summarises the variety of different quadrature formulations that can be found by varying the degree of polynomials, the treatment of boundary conditions and employing regular or irregular grid points, to help you choose the correct method for solving practical problems. Offers a clear explanation of both the theory and many applications of DQM to structural analyses Discusses and illustrates reliable ways to apply multiple boundary conditions and develop reliable grid distributions Supported by FORTRAN and MATLAB programs, including subroutines to compute grid distributions and weighting coefficients
Book Synopsis The Review of Economic Statistics by :
Download or read book The Review of Economic Statistics written by and published by . This book was released on 1927 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Review of Economics and Statistics by :
Download or read book The Review of Economics and Statistics written by and published by . This book was released on 1927 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the Review is to promote the collection, criticism, and interpretation of economic statistics, with a view to making them more accurate and valuable than they are at present for business and scientific purposes.
Book Synopsis Thermal Quantum Field Theory by : F. C. Khanna
Download or read book Thermal Quantum Field Theory written by F. C. Khanna and published by World Scientific. This book was released on 2009 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the fundamental aspects in thermal quantum field theory and their applications, and is important to the field as a result, since it combines several diverse ideas that lead to a better understanding of different areas of physics.
Book Synopsis Journal of the American Statistical Association by : American Statistical Association
Download or read book Journal of the American Statistical Association written by American Statistical Association and published by . This book was released on 1924 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.
Book Synopsis The Review of Economic Statistics by :
Download or read book The Review of Economic Statistics written by and published by . This book was released on 1929 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Measuring the Quantum State of Light by : Ulf Leonhardt
Download or read book Measuring the Quantum State of Light written by Ulf Leonhardt and published by Cambridge University Press. This book was released on 1997-07-13 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appendix A: Semiclassical approximation
Book Synopsis Theory and Applications of Gaussian Quadrature Methods by : Narayan Kovvali
Download or read book Theory and Applications of Gaussian Quadrature Methods written by Narayan Kovvali and published by Morgan & Claypool Publishers. This book was released on 2011 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gaussian quadrature is a powerful technique for numerical integration that falls under the broad category of spectral methods. The purpose of this work is to provide an introduction to the theory and practice of Gaussian quadrature. We study the approximation theory of trigonometric and orthogonal polynomials and related functions, and examine the analytical framework of Gaussian quadrature. We discuss Gaussian quadrature for bandlimited functions, a topic inspired by some recent developments in the analysis of prolate spheroidal wave functions. Algorithms for the computation of the quadrature nodes and weights are described. Several applications of Gaussian quadrature are given, ranging from the evaluation of special functions to pseudospectral methods for solving differential equations. Software realization of select algorithms is provided.
Book Synopsis Publications of the National Bureau of Standards ... Catalog by : United States. National Bureau of Standards
Download or read book Publications of the National Bureau of Standards ... Catalog written by United States. National Bureau of Standards and published by . This book was released on 1978 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matrices, Moments and Quadrature with Applications by : Gene H. Golub
Download or read book Matrices, Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Book Synopsis The Journal of Political Economy by :
Download or read book The Journal of Political Economy written by and published by . This book was released on 1927 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with research and scholarship in economic theory. Presents analytical, interpretive, and empirical studies in the areas of monetary theory, fiscal policy, labor economics, planning and development, micro- and macroeconomic theory, international trade and finance, and industrial organization. Also covers interdisciplinary fields such as history of economic thought and social economics.
Book Synopsis Theory of Nonclassical States of Light by : V.V. Dodonov
Download or read book Theory of Nonclassical States of Light written by V.V. Dodonov and published by CRC Press. This book was released on 2003-03-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term 'nonclassical states' refers to the quantum states that cannot be produced in the usual sources of light, such as lasers or lamps, rather than those requiring more sophisticated apparatus for their production. Theory of Non-classical States of Light describes the current status of the theory of nonclassical states of light including many new and important results as well as introductory material and the history of the subject. The authors concentrate on the most important types of nonclassical states, namely squeezed, even/odd ('Schrodinger cat') and binomial states, including their generalizations. However, a review of other types of nonclassical is also given in the introduction, and methods for generating nonclassical states on various processes of light-matter interaction, their phase-space description, and the time evolution of nonclassical states in these processes is presented in separate chapters. This contributed volume contains all of the necessary formulae and references required to gain a good understanding of the principles and current status of the field. It will provide a valuable information resource for advanced students and researchers in quantum physics.
Book Synopsis Elements of the General Theory of Optimal Algorithms by : Ivan V. Sergienko
Download or read book Elements of the General Theory of Optimal Algorithms written by Ivan V. Sergienko and published by Springer Nature. This book was released on 2022-01-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.
Book Synopsis Theory and Application of Quantum Molecular Dynamics by : John Z. H. Zhang
Download or read book Theory and Application of Quantum Molecular Dynamics written by John Z. H. Zhang and published by World Scientific. This book was released on 1999 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an updated and detailed presentation of modern quantum-mechanical treatments and practical computational methods for dynamical processes of small molecular systems. The main emphasis is on the recent development of successful theories and computational methods for the reactive scattering process. Specific applications are given in detail for a number of benchmark chemical reaction systems in the gas phase and gas surface. Differing from traditional physics books focusing on abstract collision theory for elastic collisions, the book has been written in a fashion in which the development of general reactive or rearrangement scattering theory is accompanied by practical applications for realistic reaction systems.
Book Synopsis Computational Models for Polydisperse Particulate and Multiphase Systems by : Daniele L. Marchisio
Download or read book Computational Models for Polydisperse Particulate and Multiphase Systems written by Daniele L. Marchisio and published by Cambridge University Press. This book was released on 2013-03-28 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB® scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2003 with total page 1432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
