Approximate Calculation of Multiple Integrals

Approximate Calculation of Multiple Integrals PDF Author: A. H. Stroud
Publisher: Prentice Hall
ISBN:
Category : Education
Languages : en
Pages : 454

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Book Description
Step-by-Step writing process instruction and the detailed concept modeling of Prentice Hall Writing and Grammar helps students improve their writing skills.

Numerical Quadrature and Cubature

Numerical Quadrature and Cubature PDF Author: Hermann Engels
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 462

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Book Description


Numerical Methods:

Numerical Methods: PDF Author: Ram
Publisher: Pearson Education India
ISBN: 8131743241
Category : Mathematics
Languages : en
Pages : 512

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Book Description
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

Computational Integration

Computational Integration PDF Author: Arnold R. Krommer
Publisher: SIAM
ISBN: 0898713749
Category : Mathematics
Languages : en
Pages : 449

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Book Description
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.

Numerical Integration

Numerical Integration PDF Author: Philip J. Davis
Publisher:
ISBN:
Category : Numerical integration
Languages : en
Pages : 250

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Book Description


Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature PDF Author: Yuan Xu
Publisher: CRC Press
ISBN: 9780582246706
Category : Mathematics
Languages : en
Pages : 140

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Book Description
Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.

Approximation with Quasi-Splines

Approximation with Quasi-Splines PDF Author: G.H Kirov
Publisher: CRC Press
ISBN: 9780750301817
Category : Mathematics
Languages : en
Pages : 266

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Book Description
In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem. Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis. The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature." This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics.

Higher-Order Finite Element Methods

Higher-Order Finite Element Methods PDF Author: Pavel Solin
Publisher: CRC Press
ISBN: 0203488040
Category : Mathematics
Languages : en
Pages : 404

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Book Description
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

Research and Technology Advances in Digital Libraries

Research and Technology Advances in Digital Libraries PDF Author:
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
ISBN:
Category : Computers
Languages : en
Pages : 236

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Book Description
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

Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering PDF Author: Chang Shu
Publisher: Springer Science & Business Media
ISBN: 9781852332099
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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.