Applied Mathematical Problems in Geophysics

Applied Mathematical Problems in Geophysics PDF Author: Massimo Chiappini
Publisher: Springer Nature
ISBN: 3031053214
Category : Mathematics
Languages : en
Pages : 211

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Book Description
This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Applied Mathematical Problems in Geophysics

Applied Mathematical Problems in Geophysics PDF Author: Massimo Chiappini
Publisher: Springer Nature
ISBN: 3031053214
Category : Mathematics
Languages : en
Pages : 211

Get Book Here

Book Description
This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Applied Mathematical Problems in Geophysics

Applied Mathematical Problems in Geophysics PDF Author: Massimo Chiappini
Publisher:
ISBN: 9788303105325
Category : Electronic books
Languages : en
Pages : 0

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Book Description
This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Mathematical Problems in the Geophysical Sciences: Inverse problems, dynamo theory, and tides

Mathematical Problems in the Geophysical Sciences: Inverse problems, dynamo theory, and tides PDF Author: William Hill Reid
Publisher: American Mathematical Society(RI)
ISBN:
Category : Mathematics
Languages : en
Pages : 392

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Book Description


Mathematical Problems in the Geophysical Sciences

Mathematical Problems in the Geophysical Sciences PDF Author: William Hill Reid
Publisher:
ISBN: 9780821811139
Category : Geophysics
Languages : en
Pages : 0

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Book Description


Numerical Methods for Fluid Dynamics

Numerical Methods for Fluid Dynamics PDF Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 1441964126
Category : Mathematics
Languages : en
Pages : 527

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Book Description
This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Mathematical Geoscience

Mathematical Geoscience PDF Author: Andrew Fowler
Publisher: Springer Science & Business Media
ISBN: 085729721X
Category : Mathematics
Languages : en
Pages : 895

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Book Description
Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues. The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods. This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.

Mathematical Problems in the Geophysical Sciences: Geophysical fluid dynamics

Mathematical Problems in the Geophysical Sciences: Geophysical fluid dynamics PDF Author: William Hill Reid
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 402

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Book Description


Computational Methods for Applied Inverse Problems

Computational Methods for Applied Inverse Problems PDF Author: Yanfei Wang
Publisher: Walter de Gruyter
ISBN: 3110259052
Category : Mathematics
Languages : en
Pages : 552

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Book Description
Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

Potential Theory in Applied Geophysics

Potential Theory in Applied Geophysics PDF Author: Kalyan Kumar Roy
Publisher: Springer Science & Business Media
ISBN: 354072334X
Category : Science
Languages : en
Pages : 661

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Book Description
This book introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables. Discussion includes behaviours of the scalar and vector potential and the nature of the solutions of these boundary value problems, along with the use of complex variables and conformal transformation, Green's theorem, Green's formula and Green's functions.

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics PDF Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 1475730810
Category : Mathematics
Languages : en
Pages : 476

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Book Description
Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.