Numerical Solutions of the N-Body Problem

Author:   A. Marciniak
Publisher:   Springer
Edition:   1985 ed.
Volume:   19
ISBN:  

9789027720580


Pages:   242
Publication Date:   31 July 1985
Format:   Hardback
Availability:   In Print   Availability explained
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Numerical Solutions of the N-Body Problem


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Overview

Approach your problem from the right It isn't that they can't see end and begin with the answers. the solution. Then one day, perhaps you will find It is that they can't see the the final question. problem. G.K. Chesterton. The Scandal The Hermit Clad in Crane Feathers in of Father Brown The Point of R. van Gulik's The Chinese Maze Murders. a Pin. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the ""tree"" of knowledge of mathematics and related fields does not grow only by putting forth new brancheq. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisci­ fI plines as ""experimental mathematics"", ""CFD , ""completely integrable systems"", ""chaos, synergetics and large-scale order"", which are almost impossible to fit into the existing classification schemes.

Full Product Details

Author:   A. Marciniak
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   1985 ed.
Volume:   19
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.220kg
ISBN:  

9789027720580


ISBN 10:   9027720584
Pages:   242
Publication Date:   31 July 1985
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Conventional Numerical Methods For Solving The Initial Value Problem.- 1.1. The Initial Value Problem.- 1.2. Discretization Methods.- 1.3. Survey of Numerical Methods for the Initial Value Problem.- 2. The General N-Body Problem.- 2.1. Equations of Motion.- 2.2. The Application of Conventional Numerical Methods.- 2.3. Discrete Mechanics of Greenspan.- 2.4. Discrete Mechanics of Arbitrary Order.- 2.5. Energy Conserving Methods.- 3. The Relative Motion Of N Bodies.- 3.1. Equations of Motion.- 3.2. The Application of Conventional Numerical Methods.- 3.3. The Application of Discrete Mechanics Formulas.- 4. Equations Of Motion In A Rotating Frame.- 4.1. Equations of Motion.- 4.2. The Application of Conventional Numerical Methods.- 4.3. Discrete Mechanics in a Rotating Frame.- 4.4. A Motion nearby the Equilibrium Points.- 4.5. Discrete Hill’s Equations.- Appendix. PL/I Procedures.- References.

Reviews

'...the book is competently written and would serve as an excellent textbook or supplement.' Applied Mechanics Review, 38:8 (1986)


'...the book is competently written and would serve as an excellent textbook or supplement.' Applied Mechanics Review, 38:8 (1986)


'...the book is competently written and would serve as an excellent textbook or supplement.' Applied Mechanics Review, 38:8 (1986)


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