Rarefied Gas Dynamics

Rarefied Gas Dynamics

Author: John Harvey

Publisher: Oxford University Press, USA

Published: 1995

Total Pages: 784

ISBN-13: 9780198565055

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The proceedings of the International Symposium on Rarefied Gas Dynamics is the standard reference work in the subject, drawing contributions from the finest researchers throughout the world. Presenting recent advances in the field of low density gas dynamics, this multidisciplinary collection covers kinetic theory, transport processes, and non-equilibrium phenomena and gases. It will be invaluable for physicists, mathematicians, engineers, and chemists working in the field.


Mathematical Models and Integration Methods

Mathematical Models and Integration Methods

Author: Oleg V. Kaptsov

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-09-23

Total Pages: 180

ISBN-13: 3111546667

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The book compiles works presented at a seminar aiming to attract global experts in differential equations, mathematical modeling, and integration methods. It covers classical and contemporary integration techniques for partial differential equations, including Monge and Darboux's approaches and their extensions. Additionally, it introduces a novel theoretical model for plane turbulent flows, presents gravitational equations derived from the principle of least action, and explores symmetry-preserving conservative finite-difference schemes for hydrodynamic-type equations. Analytical solutions for Maxwell's equations in incompressible viscoelastic mediums are examined, alongside theoretical-group analysis of wake mathematical models and reduction to ordinary differential equations. The book also delves into special classes of two-dimensional ideal fluid motion and advancements in discrete orthogonal polynomial theory, showcasing rapid decay properties near interval boundaries. In conclusion, this comprehensive collection is indispensable for researchers and practitioners in applied mathematics, fluid dynamics, and computational modeling, providing valuable insights into cutting-edge methods and solutions in the field.


Advanced Numerical Methods for Differential Equations

Advanced Numerical Methods for Differential Equations

Author: Harendra Singh

Publisher: CRC Press

Published: 2021-07-29

Total Pages: 337

ISBN-13: 1000381080

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Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.


Geophysics Today

Geophysics Today

Author: Sergey Fomel

Publisher: SEG Books

Published: 2010

Total Pages: 543

ISBN-13: 156080226X

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Presents a collection of papers which appear in the September-October 2010 Geophysics special section, written by recognised experts in various areas of exploration geophysics, plus an additional group of papers drawn from Geophysics which address areas beyond those invited articles. The result is a snapshot of the state-of-the-art in the field.


ICIAM 91

ICIAM 91

Author: Robert E. O'Malley

Publisher: SIAM

Published: 1992-01-01

Total Pages: 424

ISBN-13: 9780898713022

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Proceedings -- Computer Arithmetic, Algebra, OOP.


Theory of Transport Properties of Semiconductor Nanostructures

Theory of Transport Properties of Semiconductor Nanostructures

Author: Eckehard Schöll

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 394

ISBN-13: 1461558077

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Recent advances in the fabrication of semiconductors have created almost un limited possibilities to design structures on a nanometre scale with extraordinary electronic and optoelectronic properties. The theoretical understanding of elec trical transport in such nanostructures is of utmost importance for future device applications. This represents a challenging issue of today's basic research since it requires advanced theoretical techniques to cope with the quantum limit of charge transport, ultrafast carrier dynamics and strongly nonlinear high-field ef fects. This book, which appears in the electronic materials series, presents an over view of the theoretical background and recent developments in the theory of electrical transport in semiconductor nanostructures. It contains 11 chapters which are written by experts in their fields. Starting with a tutorial introduction to the subject in Chapter 1, it proceeds to present different approaches to transport theory. The semiclassical Boltzmann transport equation is in the centre of the next three chapters. Hydrodynamic moment equations (Chapter 2), Monte Carlo techniques (Chapter 3) and the cellular au tomaton approach (Chapter 4) are introduced and illustrated with applications to nanometre structures and device simulation. A full quantum-transport theory covering the Kubo formalism and nonequilibrium Green's functions (Chapter 5) as well as the density matrix theory (Chapter 6) is then presented.