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$200.94
21. Advances in the Applications of
$107.99
22. Numerical Sound Synthesis: Finite
23. Handbook of Numerical Analysis:
 
24. Finite-difference Equations and
 
25. Heat Transfer Calculations Using
$42.95
26. Calculus Of Finite Differences
$84.00
27. Applications of Nonstandard Finite
$78.00
28. Integral and Finite Difference
$151.95
29. Conservative Finite Difference
$23.55
30. A treatise on differential equations,
 
31. Heat-Transfer Calculations by
$59.75
32. Nonstandard Finite Difference
$11.57
33. An introduction to the differential
$23.99
34. Elements of Finite Differences:
 
35. Numerical Calculus: Approximations,
 
36. Microcomputer Modelling by Finite
 
$12.73
37. Notes On Finite Differences: For
$67.50
38. Advances in Imaging and Electron
$16.60
39. Elements of Finite Differences:
$9.99
40. A two-dimensional, finite-difference

21. Advances in the Applications of Nonstandard Finite Difference Schemes
Hardcover: 664 Pages (2005-10-30)
list price: US$218.00 -- used & new: US$200.94
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Asin: 9812564047
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This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic. ... Read more


22. Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics
by Stefan Bilbao
Hardcover: 456 Pages (2009-12-14)
list price: US$140.00 -- used & new: US$107.99
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Asin: 0470510463
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Digital sound synthesis has long been approached using standard digital filtering techniques. Newer synthesis strategies, however, make use of physical descriptions of musical instruments, and allow for much more realistic and complex sound production and thereby synthesis becomes a problem of simulation.

This book has a special focus on time domain finite difference methods presented within an audio framework. It covers time series and difference operators, and basic tools for the construction and analysis of finite difference schemes, including frequency-domain and energy-based methods, with special attention paid to problems inherent to sound synthesis. Various basic lumped systems and excitation mechanisms are covered, followed by a look at the 1D wave equation, linear bar and string vibration, acoustic tube modelling, and linear membrane and plate vibration. Various advanced topics, such as the nonlinear vibration of strings and plates, are given an elaborate treatment.

Key features:

  • Includes a historical overview of digital sound synthesis techniques, highlighting the links between the various physical modelling methodologies.
  • A pedagogical presentation containing over 150 problems and programming exercises, and numerous figures and diagrams, and code fragments in the MATLABĀ® programming language helps the reader with limited experience of numerical methods reach an understanding of this subject.
  • Offers a complete treatment of all of the major families of musical instruments, including certain audio effects.

Numerical Sound Synthesis is suitable for audio and software engineers, and researchers in digital audio, sound synthesis and more general musical acoustics. Graduate students in electrical engineering, mechanical engineering or computer science, working on the more technical side of digital audio and sound synthesis, will also find this book of interest. ... Read more


23. Handbook of Numerical Analysis: Finite Difference Methods, Part 1, Solution Equations in R 1 Part 1
by P. G. Ciarlet
Hardcover: 7 Pages (1990-03)
list price: US$182.00
Isbn: 0444703667
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Hardbound. ... Read more


24. Finite-difference Equations and Simulations
by Francis B. Hildebrand
 Hardcover: 338 Pages (1968)

Isbn: 0133172309
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25. Heat Transfer Calculations Using Finite Difference Equations
by D.R. Croft, David G. Lilley
 Hardcover: 294 Pages (1977-05)

Isbn: 0853347204
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26. Calculus Of Finite Differences
by George Boole
Hardcover: 372 Pages (2008-11-04)
list price: US$42.95 -- used & new: US$42.95
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Asin: 1443728802
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Originally published in 1800. CALCULUS OF FINITE DIFFERENCES by GEORGE BOOLE. PREFACE: IN the following exposition of the Calculus of Finite Dif ferences, particular attention has been paid to the connexion of its methods with those of the Differential Calculus a connexion which in some instances involves far more than a merely formal analogy. Indeed the work is in some measure designed as a sequel to my Treatise on Differential Equations. And it has been composed on the same plan. Mr Stirling, of Trinity College, Cambridge, has rendered me much valuable assistance in the revision of the proof sheets. In offering him my best thanks for his kind aid, I am led to express a hope that the work will be found to bo free from important errors. GEORGE BOOLE. QUEEN'S COLLKOE, CORK, April 18, 1800. PREFACE TO THE SECOND EDITION: WHEN I commenced to prepare for the press a Second Edition of the late Dr Boole's Treatise on Finite Differ ences, my intention was to leave the work unchanged save by the insertion of sundry additions in the shape of para graphs marked off from the rest of the text. But I soon found that adherence to such a principle would greatly lessen the value of the book as a Text-book, since it would be impossible to avoid confused arrangement and even much repetition. I have therefore allowed myself considerable freedom as regards the form and arrangement of those parts where the additions are considerable, but I have strictly adhered to the principle of inserting all that was contained in the First Edition. As such Treatises as the present are in close connexion with the course of Mathematical Study at the University of Cambridge, there is considerable difficulty in deciding the question how far they should aim at being exhaustive. I have held it best not to insert investigations that involve complicated analysis unless they possess great suggestiveness or are the bases of important developments of the subject. Under the present system the premium on wide superficial reading is so great that such investigations, if inserted, would seldom be read. But though this is at present the case, there is every reason to hope that it will not continue to be so; and in view of a time when students will aim at an exhaustive study of a few subjects in preference to a super ficial acquaintance with the whole range of Mathematical research, I have added brief notes referring to most of the papers on the subjects of this Treatise that have appeared in the Mathematical Serials, and to other original sources. In virtue of such references, and the brief indication of the subject of the paper that accompanies each, it is hoped that this work may serve as a handbook to students who wish to read the subject more thoroughly than they could do by confining themselves to an Educational Text-book. The latter part of the book has been left untouched. Much of it I hold to be unsuited to a work like the present, partly for reasons similar to those given above, and partly because it treats in a brief and necessarily imperfect manner subjects that had better be left to separate treatises. It is impossible within the limits of the present work to treat adequately the Calculus of Operations and the Calculus of Functions, and I should have preferred leaving them wholly to such treatises as those of Lagrange, Babbage, Carmichael, De Morgan, & c. I have therefore abstained from making any additions to these portions of the book, and have made it my chief aim to render more evident the remarkable analogy between the Calculus of Finite Differences and the Differential Calculus. ... Read more


27. Applications of Nonstandard Finite Difference Schemes
Hardcover: 250 Pages (2000-05)
list price: US$84.00 -- used & new: US$84.00
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Asin: 981024133X
Average Customer Review: 3.0 out of 5 stars
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Editorial Review

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An introduction to the methods and philosophy of constructing nonstandard finite difference schemes. It illustrates how such techniques can be applied to several important problems. Chapter One gives an overview of the subject and summarizes previous work. Chapters Two and Three consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations that rise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter Four examines certain mathematical issues related to the nonstandard discretization of competitive and co-operative models for ecology. Chapter Five discusses exactness, stability properties, and the symplecticity of various schemes including the conditions for which Runge-Kutta methods are exact. The application chapters illustrate the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used. ... Read more

Customer Reviews (1)

3-0 out of 5 stars Potentially great
I have only had a borrowed copy for a few days, but this could be the biggest break through since the PC.
Everyone who models ODEs & PDEs with finite differences
should have this book.
Well written, but the math is dense. ... Read more


28. Integral and Finite Difference Inequalities and Applications, Volume 205 (North-Holland Mathematics Studies)
by B. G. Pachpatte
Hardcover: 320 Pages (2006-09-28)
list price: US$176.00 -- used & new: US$78.00
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Asin: 0444527621
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Editorial Review

Product Description
The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies.

- Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations.

- Many inequalities which have only recently discovered in the literature and can not yet be found in bother book.

- A valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics.

- Will be of interest to researchers working both in pure and applied mathematics and other areas of science and technology, and it could also be used as a text for an advanced graduate course.

- Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations
- Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics
- Highlights pure and applied mathematics and other areas of science and technology ... Read more


29. Conservative Finite Difference Methods on General Grids (Symbolic and Numeric Computation Series)
Hardcover: 384 Pages (1996-02-01)
list price: US$121.00 -- used & new: US$151.95
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Asin: 0849373751
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This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas.Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use. ... Read more


30. A treatise on differential equations, and on the calculus of finite differences
by J 1803-1887 Hymers
Paperback: 360 Pages (2010-07-30)
list price: US$32.75 -- used & new: US$23.55
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Asin: 1176501070
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This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection. ... Read more


31. Heat-Transfer Calculations by Finite Differences (International Textbooks in Mechanical Engineering)
by George Merrick Dusinberre
 Hardcover: 293 Pages (1961)

Asin: B0007E9AV4
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32. Nonstandard Finite Difference Models of Differential Equations
by Ronald E. Mickens
Hardcover: 249 Pages (1994-02)
list price: US$82.00 -- used & new: US$59.75
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Asin: 9810214588
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Illustrates the various discrete modeling principles by their application to a large number of both ordinary and partial differential equations. DLC: Finite differences. ... Read more


33. An introduction to the differential calculus by means of finite differences
by Roberdeau Buchanan
Paperback: 38 Pages (2010-08-02)
list price: US$15.75 -- used & new: US$11.57
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Asin: 1176717529
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Product Description
This scarce antiquarian book is a selection from Kessinger Publishings Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more


34. Elements of Finite Differences: Also Solutions to Questions Set for Part I of the Examinationsof the Institute of Actuaries [ 1915 ]
by Joseph Burn
Paperback: 308 Pages (2009-08-10)
list price: US$23.99 -- used & new: US$23.99
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Asin: 1112342737
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Originally published in 1915.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more


35. Numerical Calculus: Approximations, Interpolation, Finite Differences, Numerical Integration, and Curve Fitting
by William Edmund Milne
 Hardcover: 404 Pages (1949-12)
list price: US$55.00
Isbn: 0691080119
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36. Microcomputer Modelling by Finite Differences (Computer Science Series)
by Gordon Reece
 Paperback: 136 Pages (1986-10-27)

Isbn: 0333426924
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37. Notes On Finite Differences: For The Use Of Students Of The Institute Of Actuaries (1885)
by A. W. Sunderland
 Paperback: 50 Pages (2010-09-10)
list price: US$12.76 -- used & new: US$12.73
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Asin: 1163927503
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Editorial Review

Product Description
This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more


38. Advances in Imaging and Electron Physics, Volume 137: Dogma of the Continuum and the Calculus of Finite Differences in Quantum Physics
by Beate Meffert, Henning Harmuth
Hardcover: 352 Pages (2005-12-07)
list price: US$224.00 -- used & new: US$67.50
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Asin: 0120147793
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Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. ... Read more


39. Elements of Finite Differences: Also Solutions to Questions Set for ... the Examinations of the Institute of Actuaries
by Joseph Burn
Paperback: 270 Pages (2010-01-10)
list price: US$27.75 -- used & new: US$16.60
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Asin: 1141617323
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Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more


40. A two-dimensional, finite-difference model of the high plains aquifer in southern South Dakota
by Kenneth E. Kolm
Paperback: 44 Pages (1983-01-01)
list price: US$9.99 -- used & new: US$9.99
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Asin: B0041RSOTW
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Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more


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