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Integral Methods in Science and Engineering (Chapman & Hall/CRC Research Notes in Mathematics Series)
 
 
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Integral Methods in Science and Engineering (Chapman & Hall/CRC Research Notes in Mathematics Series) [Hardcover]

Christian Constanda (Author)


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Hardcover, December 12, 1994 --  
Paperback $105.00  

Book Description

December 12, 1994 0582239214 978-0582239210 1
Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.

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Editorial Reviews

Review

"The present book…focuses on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Actually, its aim is to show…research work in which integration, in one form or another, is the main investigative tool.

A lot of problems are solved in areas such as solid mechanics, fluid dynamics, thermoelasticity, plates and shells, liquid crystals, diffusion and diffraction theory, Hamiltonian systems, resonance, nonlinear waves, plasma, flight dynamics and structural networks.… Generally, this book provides new results in the study of various physical and mechanical models and offers illustrations of efficient methods with numerical results and analytical methods. It can be useful to researchers and practitioners in applied mathematics, mechanical engineering and theoretical physicists, interested in current research in ordinary and partial differential equations, integral equations and numerical analysis."

—Memoriile Sectiilor Stiintifice

--This text refers to the Paperback edition.

From the Back Cover

The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work. --This text refers to an alternate Hardcover edition.

Product Details

  • Hardcover: 264 pages
  • Publisher: Chapman and Hall/CRC; 1 edition (December 12, 1994)
  • Language: English
  • ISBN-10: 0582239214
  • ISBN-13: 978-0582239210
  • Product Dimensions: 9.4 x 6.6 x 0.7 inches
  • Shipping Weight: 15.5 ounces
  • Amazon Best Sellers Rank: #8,013,893 in Books (See Top 100 in Books)

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Inside This Book (learn more)
First Sentence:
We define Ha to be the integral operator with kernel |t - x|-a for 0 < x, t, a < 1 and consider the associated Fredholm integral equation f = g + Haf. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
maximum attack angle, vortex sheet element, discrete vortex method, corner equations, boundary integral formulation, high resolution schemes, dynamic stall, open separation, multipole method, movable boundaries, panel method, single layer potential, shear wind, shedding vortices, uniform wind, similarity parameters, singular integral equations, wing section, accurate scheme, auxiliary conditions, excellent capability, separated flows, vorticity field, normal flux
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fluid Mech, University of Texas, Academia Sinica, Cambridge University Press, Department of Mathematics, Computing Center, Fourth Internat, Marcel Dekker, Academic Press, Fifth Internat, Pineridge Press, Pure Appl, Russian Academy of Sciences, Summaries of Technical Papers, Technical Report
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