Computational Methods for Boundary and Interior Layers in Several Dimensions PDF Download
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Author: J. J. H. Miller
Publisher:
ISBN: 9780906783931
Category : Boundary layer
Languages : en
Pages : 225
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Book Description
Author: John J. H. Miller
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 244
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Book Description
Author: Paul Farrell
Publisher: CRC Press
ISBN: 9781584881926
Category : Science
Languages : en
Pages : 298
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Book Description
Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.
Author: John J. H. Miller
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 120
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Book Description
Author: John J. H. Miller
Publisher:
ISBN: 9781857480016
Category : Boundary layer
Languages : en
Pages : 215
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Book Description
Author: J. J. H. MILLER
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: L. Tourrette
Publisher: Nova Publishers
ISBN: 9781560729402
Category : Mathematics
Languages : en
Pages : 396
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Book Description
CD-ROM contains: Sections omitted from printing of text.
Author: John J. H. Miller
Publisher:
ISBN:
Category : Asymptotes
Languages : en
Pages : 124
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Book Description
Author: Zhongyi Huang
Publisher: Springer
ISBN: 9783319883946
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Author: Karl K. Sabelfeld
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110479168
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach. The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: Introduction Random walk algorithms for solving integral equations Random walk-on-boundary algorithms for the Laplace equation Walk-on-boundary algorithms for the heat equation Spatial problems of elasticity Variants of the random walk on boundary for solving stationary potential problems Splitting and survival probabilities in random walk methods and applications A random WOS-based KMC method for electron–hole recombinations Monte Carlo methods for computing macromolecules properties and solving related problems Bibliography
Author: American Institute of Aeronautics and Astronautics
Publisher:
ISBN:
Category :
Languages : en
Pages : 410
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Book Description
