Difference Methods For Initial Boundary Value Problems And Flow Around Bodies

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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

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Author : You-lan Zhu
Publisher : Springer Science & Business Media
ISBN 13 : 3662067072
Total Pages : 606 pages
Book Rating : 4.6/5 (62 download)

Book Synopsis Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies by : You-lan Zhu

Download or read book Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies written by You-lan Zhu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.

Difference Methods for Initial Value Problems

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Author : Robert D. Richtmyer
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Difference Methods for Initial Value Problems by : Robert D. Richtmyer

Download or read book Difference Methods for Initial Value Problems written by Robert D. Richtmyer and published by . This book was released on 1967-01-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Derivative Securities and Difference Methods

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Author : You-lan Zhu
Publisher : Springer Science & Business Media
ISBN 13 : 1461473063
Total Pages : 663 pages
Book Rating : 4.4/5 (614 download)

Book Synopsis Derivative Securities and Difference Methods by : You-lan Zhu

Download or read book Derivative Securities and Difference Methods written by You-lan Zhu and published by Springer Science & Business Media. This book was released on 2013-07-04 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts. In the first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE boundary value problems for different sets of derivative products (vanilla and exotic options, and interest rate derivatives). For many option problems, the analytic solutions are also derived with details. The second part is devoted to explaining and analyzing the application of finite differences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products with early exercise feature) linear complementarity and free boundary problems. In each chapter, the techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook for graduate students following a mathematical finance program as well as a valuable reference for those researchers working in numerical methods in financial derivatives. For this new edition, the book has been updated throughout with many new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are provided and the proof of solution-uniqueness of derivative security problems and the complete stability analysis of numerical methods for two-dimensional problems are added. Review of first edition: “...the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS

Transonic, Shock, and Multidimensional Flows

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Author : Richard E. Meyer
Publisher : Academic Press
ISBN 13 : 1483264602
Total Pages : 356 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Transonic, Shock, and Multidimensional Flows by : Richard E. Meyer

Download or read book Transonic, Shock, and Multidimensional Flows written by Richard E. Meyer and published by Academic Press. This book was released on 2014-05-10 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.

Hyperbolic Problems: Theory, Numerics, Applications

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Author : Heinrich Freistühler
Publisher : Birkhäuser
ISBN 13 : 3034883706
Total Pages : 481 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Heinrich Freistühler

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Heinrich Freistühler and published by Birkhäuser. This book was released on 2013-12-01 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth International Conference on Hyperbolic Problems - Theory, Nu merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Computational Fluid Dynamics Techniques

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Author : Fathi Habashi
Publisher : CRC Press
ISBN 13 : 9782884490320
Total Pages : 930 pages
Book Rating : 4.4/5 (93 download)

Book Synopsis Computational Fluid Dynamics Techniques by : Fathi Habashi

Download or read book Computational Fluid Dynamics Techniques written by Fathi Habashi and published by CRC Press. This book was released on 1995-11-22 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 1572 pages
Book Rating : 4.:/5 (31 download)

Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Technical Books

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Author : New York Public Library
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis New Technical Books by : New York Public Library

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1989 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959915
Total Pages : 555 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Journal of Computational Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.:/5 (45 download)

Book Synopsis Journal of Computational Mathematics by :

Download or read book Journal of Computational Mathematics written by and published by . This book was released on 1997 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aeronautical Engineering

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Author :
Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Aeronautical Engineering by :

Download or read book Aeronautical Engineering written by and published by . This book was released on 1993 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA)

The Theory of Fixed Point Classes

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Author : Tsai-han Kiang
Publisher : Springer
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (44 download)

Book Synopsis The Theory of Fixed Point Classes by : Tsai-han Kiang

Download or read book The Theory of Fixed Point Classes written by Tsai-han Kiang and published by Springer. This book was released on 1989-06-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The General problem. A Particular Case. A Few historical Remarks.; The Nielsen Number;Evaluation of the Nielsen Number;Nielsen Number and the Least Number of Fixed Points;The Number N(f, H)and the RootCla;Homotopy and fundamental Group;Covering Spaces;Approximation Theorems.

International Aerospace Abstracts

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Author :
Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1997 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscous, Hypersonic Flow Around a Blunt Body

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Author : John Edward Kaiser
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Viscous, Hypersonic Flow Around a Blunt Body by : John Edward Kaiser

Download or read book Viscous, Hypersonic Flow Around a Blunt Body written by John Edward Kaiser and published by . This book was released on 1968 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simplified form of the Navier-Stokes equations was used to describe the flow in the shock layer of a blunt body. The equations are solved near the axis of the body by using the method of series truncation. The main method of solution is a finite difference method, which in principle allows one to handle axisymmetric bodies of arbitrary shape. The body shape is assumed to be given and the bow shock shape is determined step by step. (Author).

Numerical Boundary Condition Procedures

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Author :
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (6 download)

Book Synopsis Numerical Boundary Condition Procedures by :

Download or read book Numerical Boundary Condition Procedures written by and published by . This book was released on 1982 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: