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Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
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Book Description
"Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering. Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
"Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering. Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Author: Houde Han
Publisher:
ISBN:
Category : Burgers equation
Languages : en
Pages : 26
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: Semyon V. Tsynkov
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 31
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Book Description
Author: National Aeronautics and Space Adm Nasa
Publisher:
ISBN: 9781729111086
Category :
Languages : en
Pages : 36
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Book Description
While numerically solving a problem initially formulated on an unbounded domain, one typically truncates this domain, which necessitates setting the artificial boundary conditions (ABC's) at the newly formed external boundary. The issue of setting the ABC's appears to be most significant in many areas of scientific computing, for example, in problems originating from acoustics, electrodynamics, solid mechanics, and fluid dynamics. In particular, in computational fluid dynamics (where external problems present a wide class of practically important formulations) the proper treatment of external boundaries may have a profound impact on the overall quality and performance of numerical algorithms. Most of the currently used techniques for setting the ABC's can basically be classified into two groups. The methods from the first group (global ABC's) usually provide high accuracy and robustness of the numerical procedure but often appear to be fairly cumbersome and (computationally) expensive. The methods from the second group (local ABC's) are, as a rule, algorithmically simple, numerically cheap, and geometrically universal; however, they usually lack accuracy of computations. In this paper we first present a survey and provide a comparative assessment of different existing methods for constructing the ABC's. Then, we describe a relatively new ABC's technique of ours and review the corresponding results. This new technique, in our opinion, is currently one of the most promising in the field. It enables one to construct such ABC's that combine the advantages relevant to the two aforementioned classes of existing methods. Our approach is based on application of the difference potentials method attributable to V. S. Ryaben'kii. This approach allows us to obtain highly accurate ABC's in the form of certain (nonlocal) boundary operator equations. The operators involved are analogous to the pseudodifferential boundary projections first introduced by A. P. Calderon and then also...
Author: Pingwen Zhang
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.
Author: Houqun Chen
Publisher: Elsevier
ISBN: 0128036273
Category : Science
Languages : en
Pages : 638
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Book Description
Written for civil, structural and geotechnical engineers, this book presents the latest research and practical experience in the design of high-arch dams in seismically active regions, from an author team that is highly active and experienced in the design, development and construction of 300m high arch dams. The book covers the entire subject of dam design for seismic regions, including seismic input mechanisms and modeling, non-linear analysis techniques for dam structure and foundations, concrete material properties, and simulation techniques for dam design. Of particular value are the real-world experimental data and design case studies that enhance the book and ensure that readers can apply the theoretical content to their own projects. Break through the conventional concepts in civil engineering discipline and focus on applying new techniques from other subject fields to seismic safety on high-arch dam design in an innovative way Shows how to model and evaluate seismic safety of dams using seismic input, dam response and dynamic resistance Summarizes the methodology and approaches applied to high-arch dam design and construction in China, demonstrates the selection of site-specific seismic input parameters, and enables the reader to apply this to their own specific design challenge
Author: L. Tourrette
Publisher: Nova Publishers
ISBN: 9781560729402
Category : Mathematics
Languages : en
Pages : 396
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Book Description
CD-ROM contains: Sections omitted from printing of text.
Author: Daniel Heubes
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author:
Publisher: BoD – Books on Demand
ISBN: 1789239494
Category : Technology & Engineering
Languages : en
Pages : 336
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Book Description
An earthquake is the shaking of the surface of the Earth, resulting from the sudden release of energy in the Earth's lithosphere that creates seismic waves. Earthquakes can range in size from those that are so weak that they cannot be felt to those violent enough to toss people around and destroy the whole cities. At the Earth's surface, earthquakes manifest themselves by shaking and sometimes displacement of the ground. When the epicenter of a large earthquake is located offshore, the seabed may be displaced sufficiently to cause a tsunami. Earthquakes can also trigger landslides and occasionally volcanic activity. Earthquakes are caused not only by rupture of geological faults but also by other events such as volcanic activity, landslides, mine blasts, and nuclear tests. This book addresses the multidisciplinary topic of earthquake hazards and risk, one of the fastest growing, relevant, and applied fields of research and study practiced within the geosciences and environment. This book addresses principles, concepts, and paradigms of earthquakes, as well as operational terms, materials, tools, techniques, and methods including processes, procedures, and implications.
