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Mathematical Modeling of Earth's Dynamical Systems

Mathematical Modeling of Earth's Dynamical Systems
Author: Rudy Slingerland
Publisher: Princeton University Press
Total Pages: 246
Release: 2011-03-28
Genre: Science
ISBN: 1400839114

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A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html


Introduction to Mathematical Modeling

Introduction to Mathematical Modeling
Author: Mayer Humi
Publisher: CRC Press
Total Pages: 484
Release: 2017-09-19
Genre: Mathematics
ISBN: 1498728022

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Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes. Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.


Physical and Mathematical Modeling of Earth and Environment Processes

Physical and Mathematical Modeling of Earth and Environment Processes
Author: Vladimir Karev
Publisher: Springer
Total Pages: 382
Release: 2018-03-24
Genre: Science
ISBN: 3319777882

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This book is the result of collaboration within the framework of the Third International Scientific School for Young Scientists held at the Ishlinskii Institute for Problems in Mechanics of Russian Academy of Sciences, 2017, November. The papers included describe studies on the dynamics of natural system – geosphere, hydrosphere, atmosphere—and their interactions, the human contribution to naturally occurring processes, laboratory modeling of earth and environment processes, and testing of new developed physical and mathematical models. The book particularly focuses on modeling in the field of oil and gas production as well as new alternative energy sources.


Earth System Modelling - Volume 2

Earth System Modelling - Volume 2
Author: Luca Bonaventura
Publisher: Springer Science & Business Media
Total Pages: 102
Release: 2011-10-08
Genre: Science
ISBN: 3642238319

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Collected articles in this series are dedicated to the development and use of software for earth system modelling and aims at bridging the gap between IT solutions and climate science. The particular topic covered in this volume addresses the historical development, state of the art and future perspectives of the mathematical techniques employed for numerical approximation of the equations describing atmospheric and oceanic motion. Furthermore, it describes the main computer science and software engineering strategies employed to turn these mathematical methods into effective tools for understanding earth's climate and forecasting its evolution. These methods and the resulting computer algorithms lie at the core of earth system models and are essential for their effectiveness and predictive skill.


Mathematical Modelling for Earth Sciences

Mathematical Modelling for Earth Sciences
Author: Xin-She Yang
Publisher: Liverpool University Press
Total Pages: 322
Release: 2008
Genre: Mathematics
ISBN:

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Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. In this textbook, Dr Yang has carefully selected topics which will be of most value to students.


Climate Modeling for Scientists and Engineers

Climate Modeling for Scientists and Engineers
Author: John B. Drake
Publisher: SIAM
Total Pages: 169
Release: 2014-01-01
Genre: Mathematics
ISBN: 1611973546

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Climate modeling and simulation teach us about past, present, and future conditions of life on earth and help us understand observations about the changing atmosphere and ocean and terrestrial ecology. Focusing on high-end modeling and simulation of earth's climate, Climate Modeling for Scientists and Engineers presents observations about the general circulations of the earth and the partial differential equations used to model the dynamics of weather and climate, covers numerical methods for geophysical flows in more detail than many other texts, discusses parallel algorithms and the role of high-performance computing used in the simulation of weather and climate, and provides supplemental lectures and MATLAB® exercises on an associated Web page.


Random Field Models in Earth Sciences

Random Field Models in Earth Sciences
Author: George Christakos
Publisher: Elsevier
Total Pages: 503
Release: 2013-10-22
Genre: Science
ISBN: 1483288307

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This book is about modeling as a prinicipal component of scientific investigations. In general terms, modeling is the funamental process of combining intellectual creativity with physical knowledge and mathematical techniques in order to learn the properties of the mechanisms underlying a physical phenomenon and make predictions. The book focuses on a specific class of models, namely, random field models and certain of their physical applications in the context of a stochastic data analysis and processing research program. The term application is considered here in the sense wherein the mathematical random field model is shaping, but is also being shaped by, its objects. This book explores the application of random field models and stochastic data processing to problems in hydrogeology, geostatistics, climate modeling, and oil reservoir engineering, among others Researchers in the geosciences who work with models of natural processes will find discussion of; Spatiotemporal random fields Space transformation Multidimensional estimation Simulation Sampling design Stochastic partial differential equations


Numerical Modeling of Coupled Phenomena in Science and Engineering

Numerical Modeling of Coupled Phenomena in Science and Engineering
Author: Mario César Suárez Arriaga
Publisher: CRC Press
Total Pages: 496
Release: 2008-12-01
Genre: Technology & Engineering
ISBN: 0203886224

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Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont


Earth Surface Systems

Earth Surface Systems
Author: Richard J. Huggett
Publisher: Springer
Total Pages: 286
Release: 1985
Genre: Science
ISBN:

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