Computational Methods For Geodynamics
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| Author | : Alik Ismail-Zadeh |
| Publisher | : Cambridge University Press |
| Total Pages | : 333 |
| Release | : 2010-07-22 |
| Genre | : Science |
| ISBN | : 1139489356 |
Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.
| Author | : Taras Gerya |
| Publisher | : Cambridge University Press |
| Total Pages | : 359 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0521887542 |
This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.
| Author | : Gabriele Morra |
| Publisher | : Springer |
| Total Pages | : 232 |
| Release | : 2017-08-01 |
| Genre | : Science |
| ISBN | : 3319556827 |
This book addresses students and young researchers who want to learn to use numerical modeling to solve problems in geodynamics. Intended as an easy-to-use and self-learning guide, readers only need a basic background in calculus to approach most of the material. The book difficulty increases very gradually, through four distinct parts. The first is an introduction to the Python techniques necessary to visualize and run vectorial calculations. The second is an overview with several examples on classical Mechanics with examples taken from standard introductory physics books. The third part is a detailed description of how to write Lagrangian, Eulerian and Particles in Cell codes for solving linear and non-linear continuum mechanics problems. Finally the last one address advanced techniques like tree-codes, Boundary Elements, and illustrates several applications to Geodynamics. The entire book is organized around numerous examples in Python, aiming at encouraging the reader to le arn by experimenting and experiencing, not by theory.
| Author | : Donald Turcotte |
| Publisher | : Cambridge University Press |
| Total Pages | : 639 |
| Release | : 2014-04-07 |
| Genre | : Science |
| ISBN | : 1107006538 |
A fully updated third edition of this classic textbook, containing two new chapters on numerical modelling supported by online MATLAB® codes.
| Author | : David T. Sandwell |
| Publisher | : Cambridge University Press |
| Total Pages | : 283 |
| Release | : 2022-01-27 |
| Genre | : Science |
| ISBN | : 1009021494 |
David Sandwell developed this advanced textbook over a period of nearly 30 years for his graduate course at Scripps Institution of Oceanography. The book augments the classic textbook Geodynamics by Don Turcotte and Jerry Schubert, presenting more complex and foundational mathematical methods and approaches to geodynamics. The main new tool developed in the book is the multi-dimensional Fourier transform for solving linear partial differential equations. The book comprises nineteen chapters, including: the latest global data sets; quantitative plate tectonics; plate driving forces associated with lithospheric heat transfer and subduction; the physics of the earthquake cycle; postglacial rebound; and six chapters on gravity field development and interpretation. Each chapter has a set of student exercises that make use of the higher-level mathematical and numerical methods developed in the book. Solutions to the exercises are available online for course instructors, on request.
| Author | : William Lowrie |
| Publisher | : Cambridge University Press |
| Total Pages | : 11 |
| Release | : 2007-09-20 |
| Genre | : Science |
| ISBN | : 1139465953 |
This second edition of Fundamentals of Geophysics has been completely revised and updated, and is the ideal geophysics textbook for undergraduate students of geoscience with an introductory level of knowledge in physics and mathematics. It gives a comprehensive treatment of the fundamental principles of each major branch of geophysics, and presents geophysics within the wider context of plate tectonics, geodynamics and planetary science. Basic principles are explained with the aid of numerous figures and step-by-step mathematical treatments, and important geophysical results are illustrated with examples from the scientific literature. Text-boxes are used for auxiliary explanations and to handle topics of interest for more advanced students. This new edition also includes review questions at the end of each chapter to help assess the reader's understanding of the topics covered and quantitative exercises for more thorough evaluation. Solutions to the exercises and electronic copies of the figures are available at www.cambridge.org/9780521859028.
| Author | : Kurt Stüwe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2007-07-03 |
| Genre | : Science |
| ISBN | : 3540712372 |
This second edition of the important introductory text for earth scientists has been thoroughly revised and extended. It is required reading for all those interested in learning about the quantitative description of geological problems. It contains chapters on heat flow, sedimentary basin modeling, the mechanics of continental deformation, PT path modeling, geomorphology, mass transfer and more. The book is aimed at the field oriented geologist who wants to begin by learning about the quantitative description of problems. The new edition features yet more illustrations and maps as well as almost 100 corrections of scientific problems.
| Author | : David D. Pollard |
| Publisher | : Cambridge University Press |
| Total Pages | : 453 |
| Release | : 2020-07-23 |
| Genre | : Science |
| ISBN | : 1107035066 |
A pioneering single-semester undergraduate textbook that balances descriptive and quantitative analysis of geological structures.
| Author | : Christopher Jekeli |
| Publisher | : CRC Press |
| Total Pages | : 524 |
| Release | : 2017-10-02 |
| Genre | : Mathematics |
| ISBN | : 1351644947 |
The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.
| Author | : Heiner Igel |
| Publisher | : Oxford University Press |
| Total Pages | : 340 |
| Release | : 2017 |
| Genre | : Nature |
| ISBN | : 0198717407 |
An introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering and many other fields. It looks under the hood of current simulation technology and provides guidelines on what to look out for when carrying out sophisticated simulation tasks.
