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Boundary element methods in engineering and eciences / M. H. Aliabadi, P. Wen
Singapore : World Scientific, 2010
viii, 402 pages. ; 25 cm.
Ký hiệu phân loại (DDC): 620
The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique which has enjoyed increasing popularity over the past two decades. It is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modeling effort. This book is designed to provide readers with a comprehensive and up-to-date account of the method and its application to problems in engineering
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Lectures on the theory of group properties of differential equations / L. V. Ovsyannikov; N. Kh Ibragimov, E. D. Avdonina (editor)
Beijing : World Scientific, 2013
xi, 141 pages. ; 25 cm.
Ký hiệu phân loại (DDC): 515.3
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models
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