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On Quadrature And Cubature
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Book Synopsis Approximate Calculation of Multiple Integrals by : A. H. Stroud
Download or read book Approximate Calculation of Multiple Integrals written by A. H. Stroud and published by Prentice Hall. This book was released on 1971 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step-by-Step writing process instruction and the detailed concept modeling of Prentice Hall Writing and Grammar helps students improve their writing skills.
Book Synopsis Numerical Quadrature and Cubature by : Hermann Engels
Download or read book Numerical Quadrature and Cubature written by Hermann Engels and published by . This book was released on 1980 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Quadrature and Its Application in Engineering by : Chang Shu
Download or read book Differential Quadrature and Its Application in Engineering written by Chang Shu and published by Springer Science & Business Media. This book was released on 2000-01-14 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, it is shown in the book that the weighting coefficients of the polynomial-based, Fourier expansion-based, and exponential-based differential quadrature methods can be computed explicitly. It is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relationship between differential quadrature and conventional spectral collocation is analysed. The book contains material on: - Linear Vector Space Analysis and the Approximation of a Function; - Polynomial-, Fourier Expansion- and Exponential-based Differential Quadrature; - Differential Quadrature Weighting Coefficient Matrices; - Solution of Differential Quadrature-resultant Equations; - The Solution of Incompressible Navier-Stokes and Helmholtz Equations; - Structural and Vibrational Analysis Applications; - Generalized Integral Quadrature and its Application in the Solution of Boundary Layer Equations. Three FORTRAN programs for simulation of driven cavity flow, vibration analysis of plate and Helmholtz eigenvalue problems respectively, are appended. These sample programs should give the reader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.
Book Synopsis Computational Integration by : Arnold R. Krommer
Download or read book Computational Integration written by Arnold R. Krommer and published by SIAM. This book was released on 1998-01-01 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Methods: written by Ram and published by Pearson Education India. This book was released on 2010 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Higher-Order Finite Element Methods by : Pavel Solin
Download or read book Higher-Order Finite Element Methods written by Pavel Solin and published by CRC Press. This book was released on 2003-07-28 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and
Book Synopsis Research and Technology Advances in Digital Libraries by :
Download or read book Research and Technology Advances in Digital Libraries written by and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1999 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a May 1999 forum on current issues in digital library research and technology. Papers are divided in sections on ontology and structure, database querying and mining, video, mathematics and musical applications, text and information retrieval, and metadata. Discussion encompasses area
Book Synopsis Numerical Integration by : Philip J. Davis
Download or read book Numerical Integration written by Philip J. Davis and published by . This book was released on 1960 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclidean Design Theory by : Masanori Sawa
Download or read book Euclidean Design Theory written by Masanori Sawa and published by Springer. This book was released on 2019-07-23 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs. The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results. Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research fields.
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 Springer Nature. This book was released on 2022-05-31 with total page 57 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. Table of Contents: Introduction / Approximating with Polynomials and Related Functions / Gaussian Quadrature / Applications / Links to Mathematical Software
Download or read book Numerical Integration IV written by BRASS and published by Birkhäuser. This book was released on 2013-11-09 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Giesela Engeln-Müllges Publisher :Springer Science & Business Media ISBN 13 :3642610749 Total Pages :610 pages Book Rating :4.6/5 (426 download)
Book Synopsis Numerical Algorithms with C by : Giesela Engeln-Müllges
Download or read book Numerical Algorithms with C written by Giesela Engeln-Müllges and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and provides support in choosing the appropriate method for a given task. Topics given special emphasis include converging methods for solving nonlinear equations, methods for solving systems of linear equations for many special matrix structures, and the Shepard method for multidimensional interpolation. The CD contains C-programs for almost all the algorithms given in the book and a compiler, together with software for graphical printing.
Book Synopsis COMPUTATIONAL MODELS - Volume I by : Shaidurov Vladimir Viktorovich
Download or read book COMPUTATIONAL MODELS - Volume I written by Shaidurov Vladimir Viktorovich and published by EOLSS Publications. This book was released on 2009-04-10 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. Modern Computational Mathematics arises in a wide variety of fields, including business, economics, engineering, finance, medicine and science. The Theme on Computational Models provides the essential aspects of Computational Mathematics emphasizing Basic Methods for Solving Equations; Numerical Analysis and Methods for Ordinary Differential Equations; Numerical Methods and Algorithms; Computational Methods and Algorithms; Numerical Models and Simulation. These two volumes are aimed at those seeking in-depth of advanced knowledge: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
Book Synopsis Numerical Integration by : Terje O. Espelid
Download or read book Numerical Integration written by Terje O. Espelid and published by Springer Science & Business Media. This book was released on 1992 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Book Synopsis Mathematical Inequalities by : Pietro Cerone
Download or read book Mathematical Inequalities written by Pietro Cerone and published by CRC Press. This book was released on 2010-12-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.The authors
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.
