Quadrature Theory
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Author | : Helmut Brass |
Publisher | : American Mathematical Soc. |
Total Pages | : 376 |
Release | : 2011-10-12 |
Genre | : Mathematics |
ISBN | : 0821853619 |
Download Quadrature Theory Book in PDF, Epub and Kindle
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.
Author | : |
Publisher | : |
Total Pages | : 228 |
Release | : 1927 |
Genre | : Economics |
ISBN | : |
Download The Review of Economic Statistics Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 258 |
Release | : 1927 |
Genre | : Economics |
ISBN | : |
Download The Review of Economics and Statistics Book in PDF, Epub and Kindle
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.
Author | : Xinwei Wang |
Publisher | : Butterworth-Heinemann |
Total Pages | : 408 |
Release | : 2015-03-24 |
Genre | : Computers |
ISBN | : 0128031077 |
Download Differential Quadrature and Differential Quadrature Based Element Methods Book in PDF, Epub and Kindle
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
Author | : F. C. Khanna |
Publisher | : World Scientific |
Total Pages | : 482 |
Release | : 2009 |
Genre | : Science |
ISBN | : 9812818898 |
Download Thermal Quantum Field Theory Book in PDF, Epub and Kindle
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.
Author | : American Statistical Association |
Publisher | : |
Total Pages | : 650 |
Release | : 1924 |
Genre | : Statistics |
ISBN | : |
Download Journal of the American Statistical Association Book in PDF, Epub and Kindle
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.
Author | : |
Publisher | : |
Total Pages | : 426 |
Release | : 1929 |
Genre | : Economics |
ISBN | : |
Download The Review of Economic Statistics Book in PDF, Epub and Kindle
Author | : Ulf Leonhardt |
Publisher | : Cambridge University Press |
Total Pages | : 236 |
Release | : 1997-07-13 |
Genre | : Science |
ISBN | : 9780521497305 |
Download Measuring the Quantum State of Light Book in PDF, Epub and Kindle
Appendix A: Semiclassical approximation
Author | : Narayan Kovvali |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 65 |
Release | : 2011 |
Genre | : Technology & Engineering |
ISBN | : 1608457532 |
Download Theory and Applications of Gaussian Quadrature Methods Book in PDF, Epub and Kindle
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.
Author | : United States. National Bureau of Standards |
Publisher | : |
Total Pages | : 788 |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Publications of the National Bureau of Standards ... Catalog Book in PDF, Epub and Kindle