Smoothed Point Interpolation Methods
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Smoothed Point Interpolation Methods
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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2013
Smoothed Point Interpolation Methods written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail.
Smoothed Point Interpolation Methods G Space Theory And Weakened Weak Forms
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Author : Gui-rong Liu
language : en
Publisher: World Scientific
Release Date : 2013-08-16
Smoothed Point Interpolation Methods G Space Theory And Weakened Weak Forms written by Gui-rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Technology & Engineering categories.
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations — one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds.The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development.
A Method Of Bivariate Interpolation And Smooth Surface Fitting Based On Local Procedures
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Author : Hiroshi Akima
language : en
Publisher:
Release Date : 1973
A Method Of Bivariate Interpolation And Smooth Surface Fitting Based On Local Procedures written by Hiroshi Akima and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Interpolation categories.
Smoothed Finite Element Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Smoothed Finite Element Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve mo
A Method Of Bivariate Interpolation And Smooth Surface Fitting For Values Given At Irregularly Distributed Points
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Author : Hiroshi Akima
language : en
Publisher:
Release Date : 1975
A Method Of Bivariate Interpolation And Smooth Surface Fitting For Values Given At Irregularly Distributed Points written by Hiroshi Akima and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Interpolation categories.
Curve And Surface Fitting With Matlab Interpolation Smoothing And Spline Fitting
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Author : A Ramirez
language : en
Publisher:
Release Date : 2019-07-24
Curve And Surface Fitting With Matlab Interpolation Smoothing And Spline Fitting written by A Ramirez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with categories.
The Curve Fitting Toolbox software supports these nonparametric fitting methods: -"Interpolation Methods" - Estimate values that lie between known data points.-"Smoothing Splines" - Create a smooth curve through the data. You adjust the level of smoothness by varying a parameter that changes the curve from a least-squares straight-line approximation to a cubic spline interpolant.-"Lowess Smoothing" - Create a smooth surface through the data using locally weighted linear regression to smooth data.Interpolation is a process for estimating values that lie between known data points. There are several interpolation methods: - Linear: Linear interpolation. This method fit a different linear polynomial between each pair of data points for curves, or between sets of three points for surfaces.- Nearest neighbor: Nearest neighbor interpolation. This method sets the value of an interpolated point to the value of the nearest data point. Therefore, this method does not generate any new data points.- Cubic spline: Cubic spline interpolation. This method fit a different cubic polynomial between each pair of data points for curves, or between sets of three points for surfaces.After fitting data with one or more models, you should evaluate the goodness of fit A visual examination of the fitte curve displayed in Curve Fitting app should be your firs step. Beyond that, the toolbox provides these methods to assess goodness of fi for both linear and nonlinear parametric fits-"Goodness-of-Fit Statistics" -"Residual Analysis" -"Confidence and Prediction Bounds" The Curve Fitting Toolbox spline functions are a collection of tools for creating, viewing, and analyzing spline approximations of data. Splines are smooth piecewise polynomials that can be used to represent functions over large intervals, where it would be impractical to use a single approximating polynomial. The spline functionality includes a graphical user interface (GUI) that provides easy access to functions for creating, visualizing, and manipulating splines. The toolbox also contains functions that enable you to evaluate, plot, combine, differentiate and integrate splines. Because all toolbox functions are implemented in the open MATLAB language, you can inspect the algorithms, modify the source code, and create your own custom functions. Key spline features: -GUIs that let you create, view, and manipulate splines and manage and compare spline approximations-Functions for advanced spline operations, including differentiation integration, break/knot manipulation, and optimal knot placement-Support for piecewise polynomial form (ppform) and basis form (B-form) splines-Support for tensor-product splines and rational splines (including NURBS)- Shape-preserving: Piecewise cubic Hermite interpolation (PCHIP). This method preserves monotonicity and the shape of the data. For curves only.- Biharmonic (v4): MATLAB 4 grid data method. For surfaces only.- Thin-plate spline: Thin-plate spline interpolation. This method fit smooth surfaces that also extrapolate well. For surfaces only.If your data is noisy, you might want to fit it using a smoothing spline. Alternatively, you can use one of the smoothing methods. The smoothing spline s is constructed for the specified smoothing parameter p and the specified weights wi.
Particle Methods For Multi Scale And Multi Physics
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Author : Moubin E. T. Al LIU
language : en
Publisher: World Scientific
Release Date : 2015-12-28
Particle Methods For Multi Scale And Multi Physics written by Moubin E. T. Al LIU and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Science categories.
Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH). This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences --
Quantitative Methods Of Data Analysis For The Physical Sciences And Engineering
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Author : Douglas G. Martinson
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-20
Quantitative Methods Of Data Analysis For The Physical Sciences And Engineering written by Douglas G. Martinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Computers categories.
Provides thorough and comprehensive coverage of new and important quantitative methods in data science, for graduate students and practitioners.
Numerical Methods In Geotechnical Engineering Ix
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Author : António S. Cardoso
language : en
Publisher: CRC Press
Release Date : 2018-06-19
Numerical Methods In Geotechnical Engineering Ix written by António S. Cardoso and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-19 with Technology & Engineering categories.
Numerical Methods in Geotechnical Engineering IX contains 204 technical and scientific papers presented at the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2018, Porto, Portugal, 25—27 June 2018). The papers cover a wide range of topics in the field of computational geotechnics, providing an overview of recent developments on scientific achievements, innovations and engineering applications related to or employing numerical methods. They deal with subjects from emerging research to engineering practice, and are grouped under the following themes: Constitutive modelling and numerical implementation Finite element, discrete element and other numerical methods. Coupling of diverse methods Reliability and probability analysis Large deformation – large strain analysis Artificial intelligence and neural networks Ground flow, thermal and coupled analysis Earthquake engineering, soil dynamics and soil-structure interactions Rock mechanics Application of numerical methods in the context of the Eurocodes Shallow and deep foundations Slopes and cuts Supported excavations and retaining walls Embankments and dams Tunnels and caverns (and pipelines) Ground improvement and reinforcement Offshore geotechnical engineering Propagation of vibrations Following the objectives of previous eight thematic conferences, (1986 Stuttgart, Germany; 1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands), Numerical Methods in Geotechnical Engineering IX updates the state-of-the-art regarding the application of numerical methods in geotechnics, both in a scientific perspective and in what concerns its application for solving practical boundary value problems. The book will be much of interest to engineers, academics and professionals involved or interested in Geotechnical Engineering.
Numerical Methods In Geotechnical Engineering Ix Volume 1
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Author : Manuel de Matos Fernandes
language : en
Publisher: CRC Press
Release Date : 2018-06-22
Numerical Methods In Geotechnical Engineering Ix Volume 1 written by Manuel de Matos Fernandes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-22 with Technology & Engineering categories.
NUMGE 2018 is the ninth in a series of conferences on Numerical Methods in Geotechnical Engineering organized by the ERTC7 under the auspices of the International Society for Soil Mechanics and Geotechnical Engineering (ISSMGE). The first conference was held in 1986 in Stuttgart, Germany and the series continued every four years (1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands). The conference provides a forum for exchange of ideas and discussion on topics related to numerical modelling in geotechnical engineering. Both senior and young researchers, as well as scientists and engineers from Europe and overseas, are invited to attend this conference to share and exchange their knowledge and experiences. This work is the first volume of NUMGE 2018.