Nonlinear Ocean Waves and the Inverse Scattering Transform

Alfred Osborne

ISBN 10: 0125286295 / ISBN 13: 9780125286299

Verlag: Elsevier Science Mär 2010, 2010

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. 944 pp. Englisch.

Bestandsnummer des Verkäufers 9780125286299

Bibliografische Details

• Titel: Nonlinear Ocean Waves and the Inverse Scattering Transform
• Verlag: Elsevier Science Mär 2010
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 0125286295
• ISBN-13: 9780125286299
• Einband: Buch
• Zustand: Neu
• Abmessungen: 238B x 162 H x 45 T Millimeter Breite: 238 mm, Höhe: 162 mm, Tiefe: 45 mm
• Gewicht: 1443 Gramm

Über diesen Titel

Inhaltsangabe

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book.

Über die Autorin bzw. den Autor

Alfred Osborne