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Book
Numerical methods for fluid dynamics II : based on the proceedings of a conference, Reading, April 1985
Authors: ---
ISBN: 0198536100 Year: 1986 Volume: vol 7 Publisher: Oxford Clarendon Press

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Abstract

Numerical models of fluid dynamics have become increasingly preferable to more expensive physical experiments, but the ways in which data should be represented on the computer have been problematic. This book presents the findings of international experts in this field who address problems of computer modelling and equation solving. Contributors discuss the most effective algorithms to use and describe the efficiency to expect in solving large systems of equations. Their work will benefit academic and industrial researchers in applied mathematics, mathematical engineering, and computer science.

Difference methods for initial-value problems
Authors: ---
ISBN: 0894647636 9780894647635 Year: 1994 Publisher: Malabar, Fla. : Krieger Pub. Co.,

Numerical solution of partial differential equations : an introduction.
Authors: ---
ISBN: 9780521607933 0521607930 9780511812248 Year: 2005 Publisher: Cambridge Cambridge University press

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This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text brings the reader up-to-date with the latest theoretical and industrial developments.


Book
3000 years of analysis : mathematics in history and culture
Authors: --- ---
ISBN: 303058223X 3030582213 9783030582210 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,

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What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis. From the reviews of the German edition: Three wishes granted at once: the book “3000 Jahre Analysis” is anything but a dry mixture of mathematical facts and formulae. Instead, it is a skillful blend of textbook, nonfiction, and history book rolled into one, which has been very vibrantly written. The author Thomas Sonar has managed to present the history of Analysis vividly, thrillingly, and full of intriguing details. Florian Modler, Spektrum der Wissenschaft The book [...] is simply wonderful. Everybody [...] picks up this book with a certain expectation, of course, and they won’t be disappointed! ... It is truly fun browsing the book. Peter Littelmann, Mitteilungen der DMV.


Book
Numerical solution of partial differential equations : an introduction
Authors: ---
ISBN: 0511111622 9780511111624 9780511197666 9780511111297 0511111290 0511197667 1139930567 1107127653 0511812248 0511555989 Year: 2005 Publisher: Cambridge : CUP,

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Abstract

This is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.


Book
Difference methods for initial-value problems
Authors: ---
Year: 1967 Publisher: New York : Interscience Publishers,

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Book
Difference methods for initial-value: problems
Authors: ---
Year: 1967 Publisher: New York, London, Sydney Wiley

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