Dispersive shallow water waves : theory, modeling, and numerical methods /
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| Author / Creator: | Khakimzyanov, Gayaz, author. |
|---|---|
| Imprint: | Cham : Birkhäuser, [2020] ©2020 |
| Description: | 1 online resource (296 pages). |
| Language: | English |
| Series: | Lecture notes in geosystems mathematics and computing Lecture notes in geosystems mathematics and computing. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12607701 |
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| 100 | 1 | |a Khakimzyanov, Gayaz, |e author. | |
| 245 | 1 | 0 | |a Dispersive shallow water waves : |b theory, modeling, and numerical methods / |c Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Oleg Gusev. |
| 264 | 1 | |a Cham : |b Birkhäuser, |c [2020] | |
| 264 | 4 | |c ©2020 | |
| 300 | |a 1 online resource (296 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in geosystems mathematics and computing | |
| 504 | |a Includes bibliographical references and author index. | ||
| 505 | 0 | |a Model Derivation on a Globally Flat Space -- Numerical Simulation on a Globally Flat Space -- Model Derivation on a Globally Spherical Geometry -- Numerical Simulation on a Globally Spherical Geometry. | |
| 520 | |a This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics. | ||
| 588 | |a Description based on online resource; title from PDF title page (SpringerLink, viewed on October 23, 2020). | ||
| 650 | 0 | |a Wave-motion, Theory of. |0 http://id.loc.gov/authorities/subjects/sh85145785 | |
| 650 | 0 | |a Mathematical models. |0 http://id.loc.gov/authorities/subjects/sh85082124 | |
| 650 | 0 | |a Fluid dynamics. |0 http://id.loc.gov/authorities/subjects/sh85049376 | |
| 650 | 0 | |a Numerical analysis. |0 http://id.loc.gov/authorities/subjects/sh85093237 | |
| 650 | 0 | |a Oceanography. |0 http://id.loc.gov/authorities/subjects/sh85093937 | |
| 650 | 7 | |a Numerical analysis. |2 bicssc | |
| 650 | 7 | |a Oceanography (seas). |2 bicssc | |
| 650 | 7 | |a Mathematical modelling. |2 bicssc | |
| 650 | 7 | |a Mathematics |x Number Systems. |2 bisacsh | |
| 650 | 7 | |a Science |x Earth Sciences |x Oceanography. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Applied. |2 bisacsh | |
| 650 | 7 | |a Fluid dynamics. |2 fast |0 (OCoLC)fst00927973 | |
| 650 | 7 | |a Mathematical models. |2 fast |0 (OCoLC)fst01012085 | |
| 650 | 7 | |a Numerical analysis. |2 fast |0 (OCoLC)fst01041273 | |
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| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Dutykh, Denys, |e author. | |
| 700 | 1 | |a Fedotova, Zinaida, |e author. | |
| 700 | 1 | |a Gusev, Oleg, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Khakimzyanov, Gayaz |t Dispersive shallow water waves : theory, modeling, and numerical methods |d Cham : Springer International Publishing AG,c2020 |z 9783030462666 |
| 830 | 0 | |a Lecture notes in geosystems mathematics and computing. | |
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