Overview

An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. Accordingly, the solutions of these equations are of great interest to practitioners and to science in general. Presenting a wealth of cutting-edge research by a diverse group of experts in the field, Integral Methods in Science and Engineering: Computational and Analytical Aspects gives a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. This book will be valuable for researchers in applied mathematics, physics, and mechanical and electrical engineering. It will likewise be a useful study guide for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work.

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9780817671464

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The present booka ]focuses on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Actually, its aim is to showa ]research work in which integration, in one form or another, is the main investigative tool. <p>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.a ] 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. <p>a Memoriile Sectiilor Stiintifice

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