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The Hybrid Multiscale Simulation Technology

Posted By: AvaxGenius
The Hybrid Multiscale Simulation Technology

The Hybrid Multiscale Simulation Technology: An Introduction with Application to Astrophysical and Laboratory Plasmas by Alexander S. Lipatov
English | PDF | 2002 | 411 Pages | ISBN : 3540417346 | 54.8 MB

This book addresses hybrid simulation of plasmas; it is aimed at developing insight into the essence of plasma behavior. Major current applications are to astrophysical and space plasmas. Some applications are connected with active experiments in space. However, hybrid simulations are also being used to gain an understanding of basic plasma phenomena such as particle acceleration by shocks, magnetic field reconnect ion in neutral current sheets, generation of waves by beams, mass loading of the supersonic flow by heavy pickup ions and the dynamics of tangential discontinuities. Such simulations may be very important not only for the study of the astrophysical plasmas, but also for the study of the magnetically and inertially contained fusion plasmas, and other laboratory plasma devices. Plasma is the fourth state of matter, consisting of electrons, ions and 4 neutral atoms, usually at temperatures above 10 K. The stars and sun are plasmas; the local interstellar medium, the solar wind, magnetospheres and ionospheres of planets and comets, Van-Allen belts, etc., are all plasmas. Indeed, much of the known matter in the universe is plasma.

Computational Methods for Fluid Flow

Posted By: AvaxGenius
Computational Methods for Fluid Flow

Computational Methods for Fluid Flow by Roger Peyret , Thomas D. Taylor
English | PDF | 1983 | 364 Pages | ISBN : 354013851X | 30 MB

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel­ opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen­ tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth­ ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob­ lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

A Computational Differential Geometry Approach to Grid Generation (Repost)

Posted By: AvaxGenius
A Computational Differential Geometry Approach to Grid Generation (Repost)

A Computational Differential Geometry Approach to Grid Generation by Vladimir D. Liseikin
English | PDF | 2007 | 301 Pages | ISBN : 3540342354 | 4.9 MB

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by:

Stochastic Numerics for Mathematical Physics

Posted By: AvaxGenius
Stochastic Numerics for Mathematical Physics

Stochastic Numerics for Mathematical Physics by Grigori N. Milstein
English | PDF | 2004 | 612 Pages | ISBN : 3540211101 | 44 MB

Stochastic differential equations have many applications in the natural sciences. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce solution of multi-dimensional problems for partial differential equations to integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise.

Stochastic Optimization

Posted By: AvaxGenius
Stochastic Optimization

Stochastic Optimization by Johannes Josef Schneider
English | PDF | 2006 | 550 Pages | ISBN : 3540345590 | 40.6 MB

The search for optimal solutions pervades our daily lives. From the scientific point of view, optimization procedures play an eminent role whenever exact solutions to a given problem are not at hand or a compromise has to be sought, e.g. to obtain a sufficiently accurate solution within a given amount of time. This book addresses stochastic optimization procedures in a broad manner, giving an overview of the most relevant optimization philosophies in the first part. The second part deals with benchmark problems in depth, by applying in sequence a selection of optimization procedures to them. While having primarily scientists and students from the physical and engineering sciences in mind, this book addresses the larger community of all those wishing to learn about stochastic optimization techniques and how to use them.