Kernel Based Approximation Methods Using Matlab

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Kernel-based Approximation Methods using MATLAB

Gregory Fasshauer,Michael McCourt
Kernel based Approximation Methods using MATLAB Book PDF

Author : Gregory Fasshauer,Michael McCourt
Publisher : World Scientific Publishing Company
Page : 536 pages
File Size : 42,8 Mb
Release : 2015-07-30
Category : Mathematics
ISBN : 9789814630153

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Kernel-based Approximation Methods using MATLAB by Gregory Fasshauer,Michael McCourt Pdf

In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.

Meshfree Approximation Methods with MATLAB

Gregory E. Fasshauer
Meshfree Approximation Methods with MATLAB Book PDF

Author : Gregory E. Fasshauer
Publisher : World Scientific
Page : 520 pages
File Size : 54,9 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9789812706331

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Meshfree Approximation Methods with MATLAB by Gregory E. Fasshauer Pdf

Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.

Approximation Theory XV: San Antonio 2016

Gregory E. Fasshauer,Larry L. Schumaker
Approximation Theory XV San Antonio 2016 Book PDF

Author : Gregory E. Fasshauer,Larry L. Schumaker
Publisher : Springer
Page : 398 pages
File Size : 44,7 Mb
Release : 2017-07-19
Category : Mathematics
ISBN : 9783319599120

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Approximation Theory XV: San Antonio 2016 by Gregory E. Fasshauer,Larry L. Schumaker Pdf

These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22–25, 2016 in San Antonio, Texas. The conference was the fifteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 146 participants. The book contains longer survey papers by some of the invited speakers covering topics such as compressive sensing, isogeometric analysis, and scaling limits of polynomials and entire functions of exponential type. The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation.

Mathematical and Computational Methods for Modelling, Approximation and Simulation

Domingo Barrera,Sara Remogna,Driss Sbibih
Mathematical and Computational Methods for Modelling Approximation and Simulation Book PDF

Author : Domingo Barrera,Sara Remogna,Driss Sbibih
Publisher : Springer Nature
Page : 261 pages
File Size : 45,9 Mb
Release : 2022-05-08
Category : Mathematics
ISBN : 9783030943394

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Mathematical and Computational Methods for Modelling, Approximation and Simulation by Domingo Barrera,Sara Remogna,Driss Sbibih Pdf

This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. The book includes nine contributions, mostly related to quasi-interpolation. This is a topic that continues to register a high level of interest, both for those working in the field of approximation theory and for those interested in its use in a practical context. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on the notion of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of the solution of a Volterra equation), the use of smoothing splines to address an economic problem and, finally, the analysis of poverty measures, which is a topic of increased interest to society. The book is addressed to researchers interested in Applied Mathematics, with particular reference to the aforementioned topics.

Digital Twin Technologies and Smart Cities

Maryam Farsi,Alireza Daneshkhah,Amin Hosseinian-Far,Hamid Jahankhani
Digital Twin Technologies and Smart Cities Book PDF

Author : Maryam Farsi,Alireza Daneshkhah,Amin Hosseinian-Far,Hamid Jahankhani
Publisher : Springer
Page : 212 pages
File Size : 40,5 Mb
Release : 2019-07-22
Category : Technology & Engineering
ISBN : 9783030187323

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Digital Twin Technologies and Smart Cities by Maryam Farsi,Alireza Daneshkhah,Amin Hosseinian-Far,Hamid Jahankhani Pdf

This book provides a holistic perspective on Digital Twin (DT) technologies, and presents cutting-edge research in the field. It assesses the opportunities that DT can offer for smart cities, and covers the requirements for ensuring secure, safe and sustainable smart cities. Further, the book demonstrates that DT and its benefits with regard to: data visualisation, real-time data analytics, and learning leading to improved confidence in decision making; reasoning, monitoring and warning to support accurate diagnostics and prognostics; acting using edge control and what-if analysis; and connection with back-end business applications hold significant potential for applications in smart cities, by employing a wide range of sensory and data-acquisition systems in various parts of the urban infrastructure. The contributing authors reveal how and why DT technologies that are used for monitoring, visualising, diagnosing and predicting in real-time are vital to cities’ sustainability and efficiency. The concepts outlined in the book represents a city together with all of its infrastructure elements, which communicate with each other in a complex manner. Moreover, securing Internet of Things (IoT) which is one of the key enablers of DT’s is discussed in details and from various perspectives. The book offers an outstanding reference guide for practitioners and researchers in manufacturing, operations research and communications, who are considering digitising some of their assets and related services. It is also a valuable asset for graduate students and academics who are looking to identify research gaps and develop their own proposals for further research.

Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou
Recent Applications of Harmonic Analysis to Function Spaces Differential Equations and Data Science Book PDF

Author : Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou
Publisher : Birkhäuser
Page : 510 pages
File Size : 40,7 Mb
Release : 2017-08-09
Category : Mathematics
ISBN : 9783319555560

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Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science by Isaac Pesenson,Quoc Thong Le Gia,Azita Mayeli,Hrushikesh Mhaskar,Ding-Xuan Zhou Pdf

The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.

Numerical Mathematics and Advanced Applications ENUMATH 2019

Fred J. Vermolen,Cornelis Vuik
Numerical Mathematics and Advanced Applications ENUMATH 2019 Book PDF

Author : Fred J. Vermolen,Cornelis Vuik
Publisher : Springer Nature
Page : 1185 pages
File Size : 55,5 Mb
Release : 2021-04-30
Category : Mathematics
ISBN : 9783030558741

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Numerical Mathematics and Advanced Applications ENUMATH 2019 by Fred J. Vermolen,Cornelis Vuik Pdf

This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).

System- and Data-Driven Methods and Algorithms

Peter Benner,et al.
System and Data Driven Methods and Algorithms Book PDF

Author : Peter Benner,et al.
Publisher : Walter de Gruyter GmbH & Co KG
Page : 346 pages
File Size : 48,6 Mb
Release : 2021-11-08
Category : Mathematics
ISBN : 9783110497717

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System- and Data-Driven Methods and Algorithms by Peter Benner,et al. Pdf

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Mathematical Methods for Engineering Applications

Fatih Yilmaz,Araceli Queiruga-Dios,Jesús Martín Vaquero,Ion Mierluş-Mazilu,Deolinda Rasteiro,Víctor Gayoso Martínez
Mathematical Methods for Engineering Applications Book PDF

Author : Fatih Yilmaz,Araceli Queiruga-Dios,Jesús Martín Vaquero,Ion Mierluş-Mazilu,Deolinda Rasteiro,Víctor Gayoso Martínez
Publisher : Springer Nature
Page : 291 pages
File Size : 53,8 Mb
Release : 2023-03-08
Category : Mathematics
ISBN : 9783031217005

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Mathematical Methods for Engineering Applications by Fatih Yilmaz,Araceli Queiruga-Dios,Jesús Martín Vaquero,Ion Mierluş-Mazilu,Deolinda Rasteiro,Víctor Gayoso Martínez Pdf

This proceedings volume convenes selected, peer-reviewed papers presented at the 3rd International Conference on Mathematics and its Applications in Science and Engineering – ICMASE 2022, which was held on July 4–7, 2022 by the Technical University of Civil Engineering of Bucharest, Romania. Works in this volume cover new developments in applications of mathematics in science and engineering, with emphasis on mathematical and computational modeling of real-world problems. Topics range from the use of differential equations to model mechanical structures to the employ of number theory in the development of information security and cryptography. Educational issues specific to the acquisition of mathematical competencies by engineering and science students at all university levels are also touched on. Researchers and university students are the natural audiences for this book, which can be equally appealing to practitioners seeking up-to-date techniques in mathematical applications to different contexts and disciplines.

Numerical Mathematics and Advanced Applications ENUMATH 2017

Florin Adrian Radu,Kundan Kumar,Inga Berre,Jan Martin Nordbotten,Iuliu Sorin Pop
Numerical Mathematics and Advanced Applications ENUMATH 2017 Book PDF

Author : Florin Adrian Radu,Kundan Kumar,Inga Berre,Jan Martin Nordbotten,Iuliu Sorin Pop
Publisher : Springer
Page : 1070 pages
File Size : 48,6 Mb
Release : 2019-01-05
Category : Computers
ISBN : 9783319964157

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Numerical Mathematics and Advanced Applications ENUMATH 2017 by Florin Adrian Radu,Kundan Kumar,Inga Berre,Jan Martin Nordbotten,Iuliu Sorin Pop Pdf

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).

Meshfree Approximation Methods with Matlab

Gregory E Fasshauer
Meshfree Approximation Methods with Matlab Book PDF

Author : Gregory E Fasshauer
Publisher : World Scientific Publishing Company
Page : 520 pages
File Size : 41,6 Mb
Release : 2007-04-17
Category : Mathematics
ISBN : 9789813101579

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Meshfree Approximation Methods with Matlab by Gregory E Fasshauer Pdf

Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.

Model Reduction of Complex Dynamical Systems

Peter Benner,Tobias Breiten,Heike Faßbender,Michael Hinze,Tatjana Stykel,Ralf Zimmermann
Model Reduction of Complex Dynamical Systems Book PDF

Author : Peter Benner,Tobias Breiten,Heike Faßbender,Michael Hinze,Tatjana Stykel,Ralf Zimmermann
Publisher : Springer Nature
Page : 415 pages
File Size : 55,6 Mb
Release : 2021-08-26
Category : Mathematics
ISBN : 9783030729837

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Model Reduction of Complex Dynamical Systems by Peter Benner,Tobias Breiten,Heike Faßbender,Michael Hinze,Tatjana Stykel,Ralf Zimmermann Pdf

This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.

Large-Scale Scientific Computing

Ivan Lirkov,Svetozar Margenov
Large Scale Scientific Computing Book PDF

Author : Ivan Lirkov,Svetozar Margenov
Publisher : Springer Nature
Page : 636 pages
File Size : 54,9 Mb
Release : 2020-02-13
Category : Computers
ISBN : 9783030410322

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Large-Scale Scientific Computing by Ivan Lirkov,Svetozar Margenov Pdf

This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers.

Digital Signal Processing with Kernel Methods

Jose Luis Rojo-Alvarez,Manel Martinez-Ramon,Jordi Munoz-Mari,Gustau Camps-Valls
Digital Signal Processing with Kernel Methods Book PDF

Author : Jose Luis Rojo-Alvarez,Manel Martinez-Ramon,Jordi Munoz-Mari,Gustau Camps-Valls
Publisher : John Wiley & Sons
Page : 665 pages
File Size : 47,9 Mb
Release : 2018-02-05
Category : Technology & Engineering
ISBN : 9781118611791

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Digital Signal Processing with Kernel Methods by Jose Luis Rojo-Alvarez,Manel Martinez-Ramon,Jordi Munoz-Mari,Gustau Camps-Valls Pdf

A realistic and comprehensive review of joint approaches to machine learning and signal processing algorithms, with application to communications, multimedia, and biomedical engineering systems Digital Signal Processing with Kernel Methods reviews the milestones in the mixing of classical digital signal processing models and advanced kernel machines statistical learning tools. It explains the fundamental concepts from both fields of machine learning and signal processing so that readers can quickly get up to speed in order to begin developing the concepts and application software in their own research. Digital Signal Processing with Kernel Methods provides a comprehensive overview of kernel methods in signal processing, without restriction to any application field. It also offers example applications and detailed benchmarking experiments with real and synthetic datasets throughout. Readers can find further worked examples with Matlab source code on a website developed by the authors: http://github.com/DSPKM • Presents the necessary basic ideas from both digital signal processing and machine learning concepts • Reviews the state-of-the-art in SVM algorithms for classification and detection problems in the context of signal processing • Surveys advances in kernel signal processing beyond SVM algorithms to present other highly relevant kernel methods for digital signal processing An excellent book for signal processing researchers and practitioners, Digital Signal Processing with Kernel Methods will also appeal to those involved in machine learning and pattern recognition.

Numerical Computations: Theory and Algorithms

Yaroslav D. Sergeyev,Dmitri E. Kvasov
Numerical Computations Theory and Algorithms Book PDF

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov
Publisher : Springer Nature
Page : 634 pages
File Size : 53,7 Mb
Release : 2020-02-13
Category : Computers
ISBN : 9783030390815

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Numerical Computations: Theory and Algorithms by Yaroslav D. Sergeyev,Dmitri E. Kvasov Pdf

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications; high performance computing in modelling and simulation; numbers, algorithms, and applications; optimization and management of water supply.