Recent Advances In Radial Basis Function Collocation Methods

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Recent Advances In Radial Basis Function Collocation Methods
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Author : Wen Chen
language : en
Publisher:
Release Date : 2013-11-30
Recent Advances In Radial Basis Function Collocation Methods written by Wen Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-30 with categories.
Recent Advances In Radial Basis Function Collocation Methods
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Author : Wen Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Recent Advances In Radial Basis Function Collocation Methods written by Wen Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Technology & Engineering categories.
This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.
Proceedings Of International Scientific Conference On Telecommunications Computing And Control
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Author : Nikita Voinov
language : en
Publisher: Springer Nature
Release Date : 2021-04-28
Proceedings Of International Scientific Conference On Telecommunications Computing And Control written by Nikita Voinov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-28 with Technology & Engineering categories.
This book provides a platform for academics and practitioners for sharing innovative results, approaches, developments, and research projects in computer science and information technology, focusing on the latest challenges in advanced computing and solutions introducing mathematical and engineering approaches. The book presents discussions in the area of advances and challenges of modern computer science, including telecommunications and signal processing, machine learning and artificial intelligence, intelligent control systems, modeling and simulation, data science and big data, data visualization and graphics systems, distributed, cloud and high-performance computing, and software engineering. The papers included are presented at TELECCON 2019 organized by Peter the Great St. Petersburg University during November 18–19, 2019.
Recent Numerical Advances In Fluid Mechanics
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Author : Omer San
language : en
Publisher: MDPI
Release Date : 2020-07-03
Recent Numerical Advances In Fluid Mechanics written by Omer San and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-03 with Technology & Engineering categories.
In recent decades, the field of computational fluid dynamics has made significant advances in enabling advanced computing architectures to understand many phenomena in biological, geophysical, and engineering fluid flows. Almost all research areas in fluids use numerical methods at various complexities: from molecular to continuum descriptions; from laminar to turbulent regimes; from low speed to hypersonic, from stencil-based computations to meshless approaches; from local basis functions to global expansions, as well as from first-order approximation to high-order with spectral accuracy. Many successful efforts have been put forth in dynamic adaptation strategies, e.g., adaptive mesh refinement and multiresolution representation approaches. Furthermore, with recent advances in artificial intelligence and heterogeneous computing, the broader fluids community has gained the momentum to revisit and investigate such practices. This Special Issue, containing a collection of 13 papers, brings together researchers to address recent numerical advances in fluid mechanics.
Computational Methods For Nonlinear Dynamical Systems
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Author : Xuechuan Wang
language : en
Publisher: Elsevier
Release Date : 2022-09-28
Computational Methods For Nonlinear Dynamical Systems written by Xuechuan Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Technology & Engineering categories.
Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. - Presents global methods for solving periodic nonlinear dynamical behaviors - Gives local methods for solving transient nonlinear responses - Outlines computational methods for linear, nonlinear, ordinary and partial differential equations - Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions - Reveals practical applications of methods through orbital mechanics and structural dynamics
Insights And Innovations In Structural Engineering Mechanics And Computation
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Author : Alphose Zingoni
language : en
Publisher: CRC Press
Release Date : 2016-11-25
Insights And Innovations In Structural Engineering Mechanics And Computation written by Alphose Zingoni and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Technology & Engineering categories.
Insights and Innovations in Structural Engineering, Mechanics and Computation comprises 360 papers that were presented at the Sixth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016, Cape Town, South Africa, 5-7 September 2016). The papers reflect the broad scope of the SEMC conferences, and cover a wide range of engineering structures (buildings, bridges, towers, roofs, foundations, offshore structures, tunnels, dams, vessels, vehicles and machinery) and engineering materials (steel, aluminium, concrete, masonry, timber, glass, polymers, composites, laminates, smart materials).
Advances In Meshfree Techniques
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Author : V.M.A. Leitao
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-26
Advances In Meshfree Techniques written by V.M.A. Leitao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Technology & Engineering categories.
The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.
Trefftz And Fundamental Solution Based Finite Element Methods
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Author : Qing-Hua Qin
language : en
Publisher: Bentham Science Publishers
Release Date : 2021-09-07
Trefftz And Fundamental Solution Based Finite Element Methods written by Qing-Hua Qin and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-07 with Mathematics categories.
This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
Proceedings Of The 5th International Symposium On Uncertainty Quantification And Stochastic Modelling
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Author : José Eduardo Souza De Cursi
language : en
Publisher: Springer Nature
Release Date : 2020-08-19
Proceedings Of The 5th International Symposium On Uncertainty Quantification And Stochastic Modelling written by José Eduardo Souza De Cursi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This proceedings book discusses state-of-the-art research on uncertainty quantification in mechanical engineering, including statistical data concerning the entries and parameters of a system to produce statistical data on the outputs of the system. It is based on papers presented at Uncertainties 2020, a workshop organized on behalf of the Scientific Committee on Uncertainty in Mechanics (Mécanique et Incertain) of the AFM (French Society of Mechanical Sciences), the Scientific Committee on Stochastic Modeling and Uncertainty Quantification of the ABCM (Brazilian Society of Mechanical Sciences) and the SBMAC (Brazilian Society of Applied Mathematics).
Hausdorff Calculus
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Author : Yingjie Liang
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-03-04
Hausdorff Calculus written by Yingjie Liang and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-04 with Mathematics categories.
This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.