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Professor S. Jon Chapman (Oxford): Asymptotics beyond all orders: the devil's invention?

Please enable cookies in your browser to get the full Trove experience. Skip to content Skip to search. Published New York : Plenum Press, c Language English View all editions Prev Next edition 3 of 3. Other Creators Segur, Harvey.

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Tanveer, Saleh. Physical Description xiii, p.

Series B, Physics ; Vol. Subjects Mathematical physics -- Asymptotic theory -- Congresses. Kassner, et al. Scheurle, et al. Added to basket. An Introduction to Quantitative Finance. Stephen Blyth.

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Principles of Systems Science. Franco Strocchi. A third theme involves the use of Chebyshev and Fourier numerical methods to compute solitary waves. Special emphasis is given to steadily-translating coherent structures, a difficult numerical problem even today. A fourth theme is the description of a large number of non-soliton problems in quantum physics, hydrodynamics, instability theory and others where beyond-all-order' corrections arise and where the perturbative and numerical methods described earlier are essential.

Later chapters provide a thorough examination of matched asymptotic expansions in the complex plane, the small denominator problem in PoincarA c -Linstead Stokes' expansions, multiple scale expansions in powers of the hyperbolic secant and tangent functions and hyperasymptotic perturbation theory.


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  • This book will be of special interest to applied mathematicians, fluid dynamicists in mechanical and aeronautical engineering, electrical engineers interested in fiber optics, quantum chemists and atomic and particle physicists. Help Centre. My Wishlist Sign In Join.

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    Be the first to write a review. Add to Wishlist. Ships in 15 business days. Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book! Part I: Overview.

    Part II: Analytical Methods. Hyperasymptotic Perturbation Theory. Matched Asymptotic Expansions in the Complex Plane.