Integration And Cubature Methods PDF Download
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Author | : Willi Freeden |
Publisher | : CRC Press |
Total Pages | : 501 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351764764 |
Download Integration and Cubature Methods Book in PDF, ePub and Kindle
In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.
Author | : Willi Freeden |
Publisher | : CRC Press |
Total Pages | : 513 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351764756 |
Download Integration and Cubature Methods Book in PDF, ePub and Kindle
In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.
Author | : Philip J. Davis |
Publisher | : Academic Press |
Total Pages | : 628 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483264289 |
Download Methods of Numerical Integration Book in PDF, ePub and Kindle
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers.
Author | : Joseph Oscar Irwin |
Publisher | : |
Total Pages | : 100 |
Release | : 1923 |
Genre | : Curves |
ISBN | : |
Download On Quadrature and Cubature Book in PDF, ePub and Kindle
Author | : S.L. Sobolev |
Publisher | : Springer |
Total Pages | : 418 |
Release | : 2014-03-14 |
Genre | : Mathematics |
ISBN | : 9789401589147 |
Download The Theory of Cubature Formulas Book in PDF, ePub and Kindle
This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics.
Author | : Philip J. Davis |
Publisher | : |
Total Pages | : 0 |
Release | : 1960 |
Genre | : Numerical integration |
ISBN | : |
Download Numerical Integration Book in PDF, ePub and Kindle
Author | : Arnold R. Krommer |
Publisher | : SIAM |
Total Pages | : 449 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 0898713749 |
Download Computational Integration Book in PDF, ePub and Kindle
This survey covers a wide range of topics fundamental to calculating integrals on computer systems and discusses both the theoretical and computational aspects of numerical and symbolic methods. It includes extensive sections on one- and multidimensional integration formulas, like polynomial, number-theoretic, and pseudorandom formulas, and deals with issues concerning the construction of numerical integration algorithms.
Author | : Ram |
Publisher | : Pearson Education India |
Total Pages | : 512 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 8131743241 |
Download Numerical Methods: Book in PDF, ePub and Kindle
Numerical Methods is a mathematical tool used by engineers and mathematicians to do scientific calculations. It is used to find solutions to applied problems where ordinary analytical methods fail. This book is intended to serve for the needs of co
Author | : Jan S. Hesthaven |
Publisher | : Springer Science & Business Media |
Total Pages | : 502 |
Release | : 2007-12-20 |
Genre | : Mathematics |
ISBN | : 0387720677 |
Download Nodal Discontinuous Galerkin Methods Book in PDF, ePub and Kindle
This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
Author | : Terje O. Espelid |
Publisher | : Springer Science & Business Media |
Total Pages | : 394 |
Release | : 1992 |
Genre | : Computers |
ISBN | : |
Download Numerical Integration Book in PDF, ePub and Kindle
This volume contains the proceedings of the NATO Advanced Research Workshop on Numerical Integration that took place in Bergen, Norway, in June 1991. It includes papers for all invited talks and a selection of contributed talks.