Iterative Methods for Linear and Nonlinear Equations

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Publisher : SIAM
ISBN 13 : 9781611970944
Total Pages : 179 pages
Book Rating : 4.9/5 (79 download)

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Book Synopsis Iterative Methods for Linear and Nonlinear Equations by : C. T. Kelley

Download or read book Iterative Methods for Linear and Nonlinear Equations written by C. T. Kelley and published by SIAM. This book was released on 1995-01-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and nonlinear systems of equations are the basis for many, if not most, of the models of phenomena in science and engineering, and their efficient numerical solution is critical to progress in these areas. This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods, incorporation of inexactness and noise into the analysis, new proofs and implementations of Broyden's method, and globalization of inexact Newton methods. Examples, methods, and algorithmic choices are based on applications to infinite dimensional problems such as partial differential equations and integral equations. The analysis and proof techniques are constructed with the infinite dimensional setting in mind and the computational examples and exercises are based on the MATLAB environment.

Advances in Numerical Simulation of Nonlinear Water Waves

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Author :
Publisher : World Scientific
ISBN 13 : 9812836500
Total Pages : 700 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advances in Numerical Simulation of Nonlinear Water Waves by : Qingwei Ma

Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by Qingwei Ma and published by World Scientific. This book was released on 2010 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Model for fully nonlinear ocean wave simulations derived using Fourier inversion of integral equations in 3D / J. Grue and D. Fructus -- ch. 2. Two-dimensional direct numerical simulations of the dynamics of rogue waves under wind action / J. Touboul and C. Kharif -- ch. 3. Progress in fully nonlinear potential flow modeling of 3D extreme ocean waves / S.T. Grilli [und weitere] -- ch. 4. Time domain simulation of nonlinear water waves using spectral methods / F. Bonnefoy [und weitere] -- ch. 5. QALE-FEM method and its application to the simulation of free-responses of floating bodies and overturning waves / Q.W. Ma and S. Yan -- ch. 6. Velocity calculation methods in finite element based MEL formulation / V. Sriram, S.A. Sannasiraj and V. Sundar -- ch. 7. High-order Boussinesq-type modelling of nonlinear wave phenomena in deep and shallow water / P.A. Madsen and D.R. Fuhrman -- ch. 8. Inter-comparisons of different forms of higher-order Boussinesq equations / Z.L. Zou, K.Z. Fang and Z.B. Liu -- ch. 9. Method of fundamental solutions for fully nonlinear water waves / D.-L. Young, N.-J. Wu and T.-K. Tsay -- ch. 10. Application of the finite volume method to the simulation of nonlinear water waves / D. Greaves -- ch. 11. Developments in multi-fluid finite volume free surface capturing method / D.M. Causon, C.G. Mingham and L. Qian -- ch. 12. Numerical computation methods for strongly nonlinear wave-body interactions / M. Kashiwagi, C. Hu and M. Sueyoshi -- ch. 13. Smoothed particle hydrodynamics for water waves / R.A. Dalrymple [und weitere] -- ch. 14. Modelling nonlinear water waves with RANS and LES SPH models / R. Issa [und weitere] -- ch. 15. MLPG_R method and Its application to various nonlinear water waves / Q.W. Ma -- ch. 16. Large Eddy simulation of the hydrodynamics generated by breaking waves / P. Lubin and J.-P. Caltagirone -- ch. 17. Recent advances in turbulence modeling for unsteady breaking waves / Q. Zhao and S.W. Armfield -- ch. 18. Freak waves and their interaction with ships and offshore structures / G.F. Clauss

Nonlinear Waves

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Author :
Publisher : CUP Archive
ISBN 13 : 9780521254687
Total Pages : 376 pages
Book Rating : 4.2/5 (546 download)

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Book Synopsis Nonlinear Waves by : Lokenath Debnath

Download or read book Nonlinear Waves written by Lokenath Debnath and published by CUP Archive. This book was released on 1983-12-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.

Nonlinear Three-dimensional Waves on Water of Varying Depth

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Author :
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Nonlinear Three-dimensional Waves on Water of Varying Depth by : Joseph Mathew

Download or read book Nonlinear Three-dimensional Waves on Water of Varying Depth written by Joseph Mathew and published by . This book was released on 1990 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Water Waves

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Author :
Publisher : Springer Nature
ISBN 13 : 3030335364
Total Pages : 223 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Water Waves by : David Henry

Download or read book Nonlinear Water Waves written by David Henry and published by Springer Nature. This book was released on 2019-11-27 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.

Solitons and the Inverse Scattering Transform

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Publisher : SIAM
ISBN 13 : 089871477X
Total Pages : 433 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solitons and the Inverse Scattering Transform by : Mark J. Ablowitz

Download or read book Solitons and the Inverse Scattering Transform written by Mark J. Ablowitz and published by SIAM. This book was released on 2006-05-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.

Advances in Numerical Simulation of Nonlinear Water Waves

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Author :
Publisher : World Scientific
ISBN 13 : 9812836497
Total Pages : 700 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advances in Numerical Simulation of Nonlinear Water Waves by : Qingwei Ma

Download or read book Advances in Numerical Simulation of Nonlinear Water Waves written by Qingwei Ma and published by World Scientific. This book was released on 2010 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with numerical methods that have been employed to simulate nonlinear water waves. This book covers important applications, such as overturning waves, breaking waves, waves generated by landslides, freak waves, solitary waves, tsunamis, sloshing waves, interaction of extreme waves with beaches, and interaction with fixed structures.

Analytical Properties of Nonlinear Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031530748
Total Pages : 322 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Analytical Properties of Nonlinear Partial Differential Equations by : Alexei Cheviakov

Download or read book Analytical Properties of Nonlinear Partial Differential Equations written by Alexei Cheviakov and published by Springer Nature. This book was released on with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Waves in Geophysical Fluids

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Publisher : Springer Science & Business Media
ISBN 13 : 3211693564
Total Pages : 345 pages
Book Rating : 4.2/5 (116 download)

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Book Synopsis Waves in Geophysical Fluids by : John Grue

Download or read book Waves in Geophysical Fluids written by John Grue and published by Springer Science & Business Media. This book was released on 2007-08-03 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans. It presents stochastic Monte-Carlo simulations and focusing mechanisms for rogue waves, nonlinear wave models, breather formulas, and the kinematics of the Draupner wave. Coverage also reveals the full story about the discovery of the very large oceanic internal waves.

Water Wave Propagation Over Uneven Bottoms: Linear wave propagation

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Author :
Publisher : World Scientific
ISBN 13 : 9789810239947
Total Pages : 508 pages
Book Rating : 4.2/5 (399 download)

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Book Synopsis Water Wave Propagation Over Uneven Bottoms: Linear wave propagation by : Maarten W. Dingemans

Download or read book Water Wave Propagation Over Uneven Bottoms: Linear wave propagation written by Maarten W. Dingemans and published by World Scientific. This book was released on 2000 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rogue Waves 2004

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Author :
Publisher : Editions Quae
ISBN 13 : 9782844331502
Total Pages : 322 pages
Book Rating : 4.3/5 (315 download)

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Book Synopsis Rogue Waves 2004 by : Michel Olagnon

Download or read book Rogue Waves 2004 written by Michel Olagnon and published by Editions Quae. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Depuis le colloque Rogue Waves 2000, des avancées significatives ont été réalisées dans la description et la proposition de modèles susceptibles d'améliorer notre compréhension des vagues scélérates. Les questions qui se posent maintenant concernent l'influence que ces résultats doivent avoir sur les normes et pratiques de la construction navale et offshore, et s'ils apportent des possibilités d'amélioration pour les systèmes de prévision et d'alerte. Le colloque Rogue Waves 2004 de Brest a de nouveau rassemblé de nombreux scientifiques et ingénieurs qui ont pu y confronter et discuter leurs positions sur le sujet.

Wave Dynamics and Radio Probing of the Ocean Surface

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Publisher : Springer Science & Business Media
ISBN 13 : 1468489801
Total Pages : 677 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Wave Dynamics and Radio Probing of the Ocean Surface by : O. M. Phillips

Download or read book Wave Dynamics and Radio Probing of the Ocean Surface written by O. M. Phillips and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1960, Dr. George Deacon ofthe National Institute ofOceanography in England organized a meeting in Easton, Maryland that summarized the state of our understanding at that time of ocean wave statistics and dynamics. It was a pivotal occasion: spectral techniques for wave measurement were beginning to be used, wave-wave interactions hadjust been discovered, and simple models for the growth of waves by wind were being developed. The meeting laid the foundation for much work that was to follow, but one could hardly have imagined the extent to which new techniques of measurement, particularly by remote sensing, new methods of calculation and computation, and new theoretical and laboratory results would, in the following twenty years, build on this base. When Gaspar Valenzuela of the V. S. Naval Research Laboratory perceived that the time was right for a second such meeting, it was natural that Sir George Deacon would be invited to serve as honorary chairman for the meeting, and the entire waves community was delighted at his acceptance. The present volume contains reviewed and edited papers given at this second meeting, held this time in Miami, Florida, May 13-20, 1981, with the generous support of the Office of Naval Research, the National Aeronautics and Space Administration, and the National Oceanic and Atmospheric Administration.

Summaries of Projects Completed

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Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Summaries of Projects Completed by : National Science Foundation (U.S.)

Download or read book Summaries of Projects Completed written by National Science Foundation (U.S.) and published by . This book was released on with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Naval Research Reviews

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Naval Research Reviews by :

Download or read book Naval Research Reviews written by and published by . This book was released on 1996 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Internal Gravity Waves in the Shallow Seas

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Publisher : Springer
ISBN 13 : 3319189085
Total Pages : 175 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Internal Gravity Waves in the Shallow Seas by : Stanisław R. Massel

Download or read book Internal Gravity Waves in the Shallow Seas written by Stanisław R. Massel and published by Springer. This book was released on 2015-07-07 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive study of the internal ocean waves, which play a very important role in ocean physics providing mechanisms for ocean water mixing and circulation, as well as the transportation of gases, nutrients, and a very large number of marine organisms in the ocean body. In contrast to surface waves, the literature on internal waves is not so numerous, mainly due to the difficulties in experimental data collection and in the mathematical description of internal wave propagation. In this book, the basic mathematical principles, a physical description of the observed phenomena, and practical theoretical methods of determination of wave parameters as well as the original method of observation using moving sensors are presented. Special attention is paid to internal wave propagation over changing bottom topographies in shallow seas such as the Baltic Sea. The book is supplemented with an extended list of relevant and extended bibliographies, a subject index, and an author index.

Sir James Lighthill and Modern Fluid Mechanics

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Publisher : Imperial College Press
ISBN 13 : 184816114X
Total Pages : 350 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Sir James Lighthill and Modern Fluid Mechanics by : Lokenath Debnath

Download or read book Sir James Lighthill and Modern Fluid Mechanics written by Lokenath Debnath and published by Imperial College Press. This book was released on 2008 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is perhaps the first book containing biographical information of Sir James Lighthill and his major scientific contributions to the different areas of fluid mechanics, applied mathematics, aerodynamics, linear and nonlinear waves in fluids, geophysical fluid dynamics, biofluiddynamics, aeroelasticity, boundary layer theory, generalized functions, and Fourier series and integrals. Special efforts is made to present Lighthill's scientific work in a simple and concise manner, and generally intelligible to readers who have some introduction to fluid mechanics. The book also includes a list of Lighthill's significant papers.Written for the mathematically literate reader, this book also provides a glimpse of Sir James' serious attempt to stimulate interest in mathematics and its diverse applications among the general public of the world, his profound influence on teaching of mathematics and science with newer applications, and his deep and enduring concern on enormous loss of human lives, economic and marine resources by natural hazards. By providing detailed background information and knowledge, sufficient to start interdisciplinary research, it is intended to serve as a ready reference guide for readers interested in advanced study and research in modern fluid mechanics.