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.

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

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