The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise g...Lasīt vairāk
This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earths gravity field. By restricting their consideration to a local rather than global level, the authors focu...Lasīt vairāk
This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earths gravity field. By restricting their consideration to a local rather than global level, the authors foc...Lasīt vairāk
This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculabl...Lasīt vairāk
This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity wi...Lasīt vairāk
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well...Lasīt vairāk
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earths interior. From a mathematical perspectiv...Lasīt vairāk
This volume collects state-of-the-art contributions on the numerical simulation of fractured porous media, focusing on flow and geomechanics. First appearing in issues of the International Journal on Geomathematics, these articles are now conv...Lasīt vairāk
The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and v...Lasīt vairāk
Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find character...Lasīt vairāk
This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is pre...Lasīt vairāk
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The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abs...Lasīt vairāk
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficien...Lasīt vairāk
This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earths crust, which is harnessed by...Lasīt vairāk