Dunedin Academic Press ltd, 2008, 310 pages, ISBN: 1903765927Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. Computer simulations based on mathematical models are routinely used to study geophysical, environmental, and geological processes in many areas of work and research from geophysics to petroleum engineering and from hydrology to environmental fluid dynamics. Author Xin-She Yang has carefully selected the topics which will be of most value to students. Dr. Yang has recognized the need to be careful in his examples while being comprehensive enough to include important topics and popular algorithms. The book is designed to be 'theorem-free' while balancing formality and practicality. Using worked examples and tackling each problem in a step-by-step manner, the text is especially suitable for more advanced students of this aspect of earth sciences. The coverage and level, for instance in the calculus of variation and pattern formation, will be of interest to mathematicians.Mathematical Methods Mathematical Modelling Calculus and Complex Variables Vectors and Matrices ODEs and Integral Transforms PDEs and Solution Techniques Calculus of Variations Probability Geostatistics
Numerical Algorithms Numerical Integration Finite Difference Method Finite Volume Method Finite Element MethodApplications to Earth Sciences Reaction-Diffusion System Elasticity and Poroelasticity Flow in Porous Media Mathematical Formulae Matlab and Octave Programs
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Springer-Verlag London Limited, 2011. -904 pp.
This book concerns the application of mathematics to problems in the physical sciences, and particularly to problems which arise in the study of the environment. Much of the environment consists of fluid—the atmosphere, the ocean—and even those parts which are solid may deform in a fluid-like way—ice sheets, glaciers, the Earth’s...
Springer, 2010. – 1338 pp. ISBN 9783642015458.
Mathematics concerned with problems of geoscientifical relevance, i.e., geomathematics, is becoming increasingly important. Surprisingly, there is no authoritative mathematical forum offering appropriate means of assimilating, assessing, and reducing to comprehensible form the readily increasing flow of data from geochemical,...
Cambridge University Press, 2010, ISBN: 0521887542.
Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming...
Oxford University Press, 2002. (англ. ). — 624 p.
Discrete Modeling for Natural Objects.
Discrete Smooth Interpolation.
Elements of Differential Geometry.
Piecewise Linear Triangulated Surfaces.
Curvilinear Triangulated Surfaces.
Elements of Structural Geology.
Discrete Smooth Partition.
Cambridge University Press, 2010. — 396 p. ISBN 0521746566.
A reader-friendly introduction to geostatistics for students and researchers struggling with statistics. Using simple, clear explanations for introductory and advanced material, it demystifies complex concepts and makes formulas and statistical tests easy to apply. Beginning with a critical evaluation of experimental and...
3rd edition. — Springer, 2010. — ISBN 3642127614.
MATLAB® is used in a wide range of applications in geosciences, such as image processing in remote sensing, generation and processing of digital elevation models and the analysis of time series. This book introduces methods of data analysis in geosciences using MATLAB such as basic statistics for univariate, bivariate and...