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Beyond Perturbation: Introduction to the Homotopy Analysis Method: 2 (Modern Mechanics and Mathematics) - Tapa dura

Liao, Shijun

 
9781584884071: Beyond Perturbation: Introduction to the Homotopy Analysis Method: 2 (Modern Mechanics and Mathematics)
Tapa dura
ISBN 10: 158488407X ISBN 13: 9781584884071
Editorial: Chapman and Hall/CRC, 2003

Sinopsis

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Kármán swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.

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Acerca del autor

Shijun Liao (Shanghai Jiao Tong University, Shanghai, China)

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Chapman and Hall/CRC
Año de publicación
2003
Idioma
Inglés
ISBN 10 
158488407X
ISBN 13 
9781584884071
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
334
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania