A Primer On Fourier Analysis For The Geosciences

Author : Robin Crockett
Publisher : Cambridge University Press
ISBN 13 : 1107142881
Total Pages : 191 pages
Book Rating : 4.86/5 ( download)

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Download or read book A Primer on Fourier Analysis for the Geosciences written by Robin Crockett and published by Cambridge University Press. This book was released on 2019-02-14 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive introduction to basic Fourier theory, with numerous practical applications from the geosciences and worked examples in R.

Author : Bengt Fornberg
Publisher : SIAM
ISBN 13 : 1611974046
Total Pages : 221 pages
Book Rating : 4.41/5 ( download)

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Download or read book A Primer on Radial Basis Functions with Applications to the Geosciences written by Bengt Fornberg and published by SIAM. This book was released on 2015-09-30 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : B. S. Daya Sagar
Publisher : Springer Nature
ISBN 13 : 3030850404
Total Pages : 1744 pages
Book Rating : 4.01/5 ( download)

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Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.

Author : Meng Wang
Publisher : Frontiers Media SA
ISBN 13 : 2832537693
Total Pages : 214 pages
Book Rating : 4.95/5 ( download)

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Download or read book Tectono-Magmatism, Metallogenesis, and Sedimentation at Convergent Margins written by Meng Wang and published by Frontiers Media SA. This book was released on 2023-10-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergent plate margins are important places for material and energy recycling of the Earth, in particular major sites for continental growth, reworking, and recycling. They exhibit as narrow belt structure in the rigid outer layer of the Earth, corresponding to subduction zones at lithospheric mantle depths and orogenic belts at crustal depths. The type, geometry, and thermal structure of subduction zones have critical impacts on subduction processes and nature of products, resulting in a variety of magmatic rocks and ore deposits at convergent margins. Identification and classification of the physical structure and chemical variation at convergent margins as well as confirming their correlation with specific subduction types and stages are of pivotality to understand the spatiotemporal interaction between asthenosphere and lithosphere in orogenic belts. For places where magmatic arcs get partially or entirely destroyed by surface and/or subduction erosion, adjacent sedimentary rocks are ideal geological records for paleotectonic reconstruction.

Author : E. Chandrasekhar
Publisher : Taylor & Francis
ISBN 13 : 1466553596
Total Pages : 308 pages
Book Rating : 4.90/5 ( download)

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Download or read book Wavelets and Fractals in Earth System Sciences written by E. Chandrasekhar and published by Taylor & Francis. This book was released on 2013-11-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications with significant impact in several branches of earth system sciences. Wavelets and Fractals in Earth System Sciences highlights the role of advanced data processing techniques in present-day research in various fields of earth system sciences. The book consists of ten chapters, providing a well-balanced blend of information about the role of wavelets, fractals, and multifractal analyses with the latest examples of their application in various research fields. By combining basics with advanced material, this book introduces concepts as needed and serves as an excellent introductory material and also as an advanced reference text for students and researchers.

Author : Michael Burianyk
Publisher : SEG Books
ISBN 13 : 1560803576
Total Pages : 94 pages
Book Rating : 4.77/5 ( download)

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Download or read book Understanding Signals written by Michael Burianyk and published by SEG Books. This book was released on 2019-05-15 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for students as well as professionals who work with and support geophysicists, this book presents a simple and informal discussion of fundamental concepts which underlie the quantitative part of geophysical analysis and interpretation. These general concepts are applicable for an analytical approach to any phenomena that can be measured and recorded. With examples and figures created using Microsoft Excel®, this book is accessible and insightful. Topics covered include: the concept of signals based on the sine function; the summation of sine waves as a more complicated signal; the notion of Fourier series and the spectral representation of signals; digital sampling and discrete representation of signals; the discrete Fourier transform and inverse transform; the concept of filtering in the spectral domain; and the idea of filtering outside of the spectral domain, by convolution, and the relationship between the measurement and spectral domains. This book will be valuable for geologists, junior seismic interpreters, software developers, high school and university students, and geophysical professionals seeking a refresher of the basic concepts.

Author : Christopher D. Lloyd
Publisher : John Wiley & Sons
ISBN 13 : 1119971357
Total Pages : 274 pages
Book Rating : 4.51/5 ( download)

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Download or read book Exploring Spatial Scale in Geography written by Christopher D. Lloyd and published by John Wiley & Sons. This book was released on 2014-05-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Spatial Scale in Geography provides a conceptual and practical guide to issues of spatial scale in all areas of the physical and social sciences. Scale is at the heart of geography and other spatial sciences. Whether dealing with geomorphological processes, population movements or meteorology, a consideration of spatial scale is vital. Exploring Spatial Scale in Geography takes a practical approach with a core focus on real world problems and potential solutions. Links are made to appropriate software environments with an associated website providing access to guidance material which outlines how particular problems can be approached using popular GIS and spatial data analysis software. This book offers alternative definitions of spatial scale, presents approaches for exploring spatial scale and makes use of a wide variety of case studies in the physical and social sciences to demonstrate key concepts, making it a key resource for anyone who makes use of geographical information.

Author : Richard J. Howarth
Publisher : Springer
ISBN 13 : 3319573152
Total Pages : 893 pages
Book Rating : 4.51/5 ( download)

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Download or read book Dictionary of Mathematical Geosciences written by Richard J. Howarth and published by Springer. This book was released on 2017-05-27 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.

Author : Roland Klees
Publisher : Springer Science & Business Media
ISBN 13 : 9783540669517
Total Pages : 272 pages
Book Rating : 4.15/5 ( download)

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Download or read book Wavelets in the Geosciences written by Roland Klees and published by Springer Science & Business Media. This book was released on 2000-03-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.

Author : Armin Iske
Publisher : Springer
ISBN 13 : 3030052281
Total Pages : 358 pages
Book Rating : 4.87/5 ( download)

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Download or read book Approximation Theory and Algorithms for Data Analysis written by Armin Iske and published by Springer. This book was released on 2018-12-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.