Theoretical Aspects of the Method of Splitting and Artificial Boundary Conditions

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ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Theoretical Aspects of the Method of Splitting and Artificial Boundary Conditions by : Denis M. Filatov

Download or read book Theoretical Aspects of the Method of Splitting and Artificial Boundary Conditions written by Denis M. Filatov and published by . This book was released on 2018 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is dedicated to the development and analysis of a general methodology for constructing artificial boundary conditions (ABCs ) for numerical solution to differential problems in unbounded domains. Our approach is essentially based on the employment of the techniques of time and dimensional splitting coupled with spline approximations, which unlike all other ABCs-constructing methods allows to obtain exact, local, and geometrically uncritical artificial boundary conditions. The methodology is applied to and studied on the linear advection-diffusion-reaction equation.

Splitting as an Approach to Constructing Local Exact Artificial Boundary Conditions

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ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Splitting as an Approach to Constructing Local Exact Artificial Boundary Conditions by : Denis M. Filatov

Download or read book Splitting as an Approach to Constructing Local Exact Artificial Boundary Conditions written by Denis M. Filatov and published by . This book was released on 2018 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: We employ the technique of splitting for constructing artificial boundary conditions (ABCs) for the linear advection-diffusion-reaction equation when the computational domain is an D open set with a piecewise smooth artificial boundary. The splitting is performed both by the physical processes and by coordinates. The former permits to construct ABCs for each of the processes separately, which provides local exact boundary conditions; the latter leads to ABCs much less exigent to the shape of artificial boundary in comparison with many others. We also prove that the corresponding boundary value problems are well-posed, and present results of the numerical experiments that confirm the theoretical study.

Artificial Boundary Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3642354645
Total Pages : 434 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Artificial Boundary Method by : Houde Han

Download or read book Artificial Boundary Method written by Houde Han and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Hyperbolic Problems: Theory, Numerics, Applications

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Publisher : Birkhäuser
ISBN 13 : 3034887248
Total Pages : 514 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Michael Fey

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Michael Fey and published by Birkhäuser. This book was released on 2012-12-06 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics. ((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Artificial Boundary Conditions Based on the Difference Potentials Method

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Artificial Boundary Conditions Based on the Difference Potentials Method by :

Download or read book Artificial Boundary Conditions Based on the Difference Potentials Method written by and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma

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Publisher : CRC Press
ISBN 13 : 1000012190
Total Pages : 118 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma by : E.V. Chizhonkov

Download or read book Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma written by E.V. Chizhonkov and published by CRC Press. This book was released on 2019-04-08 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to research in the actual field of mathematical modeling in modern problems of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse. The author explores the hydrodynamic model of the wake wave in detail and from different points of view, within the framework of its regular propagation, a development suitable for accelerating electrons, and the final tipping effect resulting in unregulated energy transfer to plasma particles. Key selling features: Presents research directly related to the propagation of super-power short laser pulses (subject of the 2018 Nobel Prize in Physics). Presents mathematical modeling of plasma physics associated with vibrations and wake waves excited by a short high-power laser pulse. Includes studies of large-amplitude plasma oscillations. Most of the presented results are of original nature and have not appeared in the domestic and foreign scientific literature Written at a level accessible for researchers, academia, and engineers.

Domain Decomposition Methods in Scientific and Engineering Computing

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851713
Total Pages : 578 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Domain Decomposition Methods in Scientific and Engineering Computing by : David E. Keyes

Download or read book Domain Decomposition Methods in Scientific and Engineering Computing written by David E. Keyes and published by American Mathematical Soc.. This book was released on 1994 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains proceedings from the Seventh International Conference on Domain Decomposition Methods, held at Pennsylvania State University in October 1993. The term ``domain decomposition'' has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference. Noteworthy trends in the current volume include progress in dealing with so-called ``bad parameters'' in elliptic partial differential equation problems, as well as developments in partial differential equations outside of the elliptically-dominated framework. Also described here are convergence and complexity results for novel discretizations, which bring with them new challenges in the derivation of appropriate operators for coarsened spaces. Implementations and architectural considerations are discussed, as well as partitioning tools and environments. In addition, the book describes a wide array of applications, from semiconductor device simulation to structural mechanics to aerodynamics. Presenting many of the latest results in the field, this book offers readers an up-to-date guide to the many facets of the theory and practice of domain decomposition.

Proceedings of the 2nd International Conference on Mechanical System Dynamics

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Publisher : Springer Nature
ISBN 13 : 9819980488
Total Pages : 4383 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Proceedings of the 2nd International Conference on Mechanical System Dynamics by : Xiaoting Rui

Download or read book Proceedings of the 2nd International Conference on Mechanical System Dynamics written by Xiaoting Rui and published by Springer Nature. This book was released on with total page 4383 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Theoretical Introduction to Numerical Analysis

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Publisher : CRC Press
ISBN 13 : 9781584886075
Total Pages : 564 pages
Book Rating : 4.8/5 (86 download)

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Book Synopsis A Theoretical Introduction to Numerical Analysis by : Victor S. Ryaben'kii

Download or read book A Theoretical Introduction to Numerical Analysis written by Victor S. Ryaben'kii and published by CRC Press. This book was released on 2006-11-02 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

Godunov Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1461506638
Total Pages : 1050 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Godunov Methods by : E.F. Toro

Download or read book Godunov Methods written by E.F. Toro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.

Lattice Boltzmann And Gas Kinetic Flux Solvers: Theory And Applications

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Publisher : World Scientific
ISBN 13 : 9811224706
Total Pages : 379 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Lattice Boltzmann And Gas Kinetic Flux Solvers: Theory And Applications by : Liming Yang

Download or read book Lattice Boltzmann And Gas Kinetic Flux Solvers: Theory And Applications written by Liming Yang and published by World Scientific. This book was released on 2020-07-13 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) has been widely applied in a wide variety of industrial applications, including aeronautics, astronautics, energy, chemical, pharmaceuticals, power and petroleum.This unique compendium documents the recent developments in CFD based on kinetic theories, introducing flux reconstruction strategies of kinetic methods for the simulation of complex incompressible and compressible flows, namely the lattice Boltzmann and the gas kinetic flux solvers (LBFS or GKFS). LBFS and GKFS combine advantages of both Navier-Stokes (N-S) solvers and kinetic solvers.Detailed derivations, evaluations and applications of LBFS and GKFS, and their advantages over conventional flux reconstruction strategies are analyzed and discussed in the volume.The must-have reference text is useful for scholars, researchers, professionals and students who are keen in CFD methods and numerical simulations.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation

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Publisher : SIAM
ISBN 13 : 9780898714708
Total Pages : 1062 pages
Book Rating : 4.7/5 (147 download)

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Book Synopsis Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation by : Alfredo Berm?dez

Download or read book Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation written by Alfredo Berm?dez and published by SIAM. This book was released on 2000-01-01 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.

Cities and Their Vital Systems

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Publisher : National Academies Press
ISBN 13 : 9780309037860
Total Pages : 1298 pages
Book Rating : 4.0/5 (378 download)

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Book Synopsis Cities and Their Vital Systems by : Advisory Committee on Technology and Society

Download or read book Cities and Their Vital Systems written by Advisory Committee on Technology and Society and published by National Academies Press. This book was released on 1989 with total page 1298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cities and Their Vital Systems asks basic questions about the longevity, utility, and nature of urban infrastructures; analyzes how they grow, interact, and change; and asks how, when, and at what cost they should be replaced. Among the topics discussed are problems arising from increasing air travel and airport congestion; the adequacy of water supplies and waste treatment; the impact of new technologies on construction; urban real estate values; and the field of "telematics," the combination of computers and telecommunications that makes money machines and national newspapers possible.

Photonic Crystals, Theory, Applications and Fabrication

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Publisher : John Wiley & Sons
ISBN 13 : 047027803X
Total Pages : 417 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis Photonic Crystals, Theory, Applications and Fabrication by : Dennis W Prather

Download or read book Photonic Crystals, Theory, Applications and Fabrication written by Dennis W Prather and published by John Wiley & Sons. This book was released on 2009-05-26 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Only Source You Need for Understanding the Design and Applications of Photonic Crystal-Based Devices This book presents in detail the fundamental theoretical background necessary to understand the unique optical phenomena arising from the crystalline nature of photonic-crystal structures and their application across a range of disciplines. Organized to take readers from basic concepts to more advanced topics, the book covers: Preliminary concepts of electromagnetic waves and periodic media Numerical methods for analyzing photonic-crystal structures Devices and applications based on photonic bandgaps Engineering photonic-crystal dispersion properties Fabrication of two- and three-dimensional photonic crystals The authors assume an elementary knowledge of electromagnetism, vector calculus, Fourier analysis, and complex number analysis. Therefore, the book is appropriate for advanced undergraduate students in physics, applied physics, optics, electronics, and chemical and electrical engineering, as well as graduate students and researchers in these fields.

Artificial boundary conditions based on the difference potentials method

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ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (965 download)

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Book Synopsis Artificial boundary conditions based on the difference potentials method by : Semyon V. Tsynkov

Download or read book Artificial boundary conditions based on the difference potentials method written by Semyon V. Tsynkov and published by . This book was released on 1996 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 654 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 1965 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: