A Primer on Radial Basis Functions with Applications to the Geosciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Primer on Radial Basis Functions with Applications to the Geosciences write by Bengt Fornberg. This book was released on 2015-09-30. A Primer on Radial Basis Functions with Applications to the Geosciences available in PDF, EPUB and Kindle. ?Adapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro- and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous approaches on some large benchmark problems. Using examples and heuristic explanations to create a practical and intuitive perspective, the authors address how, when, and why RBF-based methods work.? The authors trace the algorithmic evolution of RBFs, starting with brief introductions to finite difference (FD) and pseudospectral (PS) methods and following a logical progression to global RBFs and then to RBF-generated FD (RBF-FD) methods. The RBF-FD method, conceived in 2000, has proven to be a leading candidate for numerical simulations in an increasingly wide range of applications, including seismic exploration for oil and gas, weather and climate modeling, and electromagnetics, among others.? This is the first survey in book format of the RBF-FD methodology and is suitable as the text for a one-semester first-year graduate class.
Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science
Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science write by Isaac Pesenson. This book was released on 2017-08-09. Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science available in PDF, EPUB and Kindle. 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.
System- and Data-Driven Methods and Algorithms
System- and Data-Driven Methods and Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook System- and Data-Driven Methods and Algorithms write by Peter Benner. This book was released on 2021-11-08. System- and Data-Driven Methods and Algorithms available in PDF, EPUB and Kindle. 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.
Computational Partial Differential Equations Using MATLAB®
Computational Partial Differential Equations Using MATLAB® - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Partial Differential Equations Using MATLAB® write by Jichun Li. This book was released on 2019-09-26. Computational Partial Differential Equations Using MATLAB® available in PDF, EPUB and Kindle. In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.
Encyclopedia of Geology
Encyclopedia of Geology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Encyclopedia of Geology write by . This book was released on 2020-12-16. Encyclopedia of Geology available in PDF, EPUB and Kindle. Encyclopedia of Geology, Second Edition presents in six volumes state-of-the-art reviews on the various aspects of geologic research, all of which have moved on considerably since the writing of the first edition. New areas of discussion include extinctions, origins of life, plate tectonics and its influence on faunal provinces, new types of mineral and hydrocarbon deposits, new methods of dating rocks, and geological processes. Users will find this to be a fundamental resource for teachers and students of geology, as well as researchers and non-geology professionals seeking up-to-date reviews of geologic research. Provides a comprehensive and accessible one-stop shop for information on the subject of geology, explaining methodologies and technical jargon used in the field Highlights connections between geology and other physical and biological sciences, tackling research problems that span multiple fields Fills a critical gap of information in a field that has seen significant progress in past years Presents an ideal reference for a wide range of scientists in earth and environmental areas of study
