Lectures On The Numerical Solution Of Linear Singular And Nonlinear Differential Equations

Author : Donald Greenspan
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.42/5 ( download)

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Download or read book Lectures on the Numerical Solution of Linear, Singular, and Nonlinear Differential Equations written by Donald Greenspan and published by Prentice Hall. This book was released on 1968 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Philip L. Korman
Publisher : American Mathematical Soc.
ISBN 13 : 1470451735
Total Pages : 399 pages
Book Rating : 4.38/5 ( download)

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Download or read book Lectures on Differential Equations written by Philip L. Korman and published by American Mathematical Soc.. This book was released on 2019-08-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on Differential Equations provides a clear and concise presentation of differential equations for undergraduates and beginning graduate students. There is more than enough material here for a year-long course. In fact, the text developed from the author's notes for three courses: the undergraduate introduction to ordinary differential equations, the undergraduate course in Fourier analysis and partial differential equations, and a first graduate course in differential equations. The first four chapters cover the classical syllabus for the undergraduate ODE course leavened by a modern awareness of computing and qualitative methods. The next two chapters contain a well-developed exposition of linear and nonlinear systems with a similarly fresh approach. The final two chapters cover boundary value problems, Fourier analysis, and the elementary theory of PDEs. The author makes a concerted effort to use plain language and to always start from a simple example or application. The presentation should appeal to, and be readable by, students, especially students in engineering and science. Without being excessively theoretical, the book does address a number of unusual topics: Massera's theorem, Lyapunov's inequality, the isoperimetric inequality, numerical solutions of nonlinear boundary value problems, and more. There are also some new approaches to standard topics including a rethought presentation of series solutions and a nonstandard, but more intuitive, proof of the existence and uniqueness theorem. The collection of problems is especially rich and contains many very challenging exercises. Philip Korman is professor of mathematics at the University of Cincinnati. He is the author of over one hundred research articles in differential equations and the monograph Global Solution Curves for Semilinear Elliptic Equations. Korman has served on the editorial boards of Communications on Applied Nonlinear Analysis, Electronic Journal of Differential Equations, SIAM Review, an\ d Differential Equations and Applications.

Author : Solomon Lefschetz
Publisher : Princeton University Press
ISBN 13 : 9780691083957
Total Pages : 228 pages
Book Rating : 4.59/5 ( download)

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Download or read book Lectures on Differential Equations written by Solomon Lefschetz and published by Princeton University Press. This book was released on 1948 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Lectures on Differential Equations. (AM-14), Volume 14, will be forthcoming.

Author : Greenspan
Publisher : Academic Press
ISBN 13 : 0080956165
Total Pages : 311 pages
Book Rating : 4.69/5 ( download)

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Download or read book Discrete Numerical Methods in Physics and Engineering written by Greenspan and published by Academic Press. This book was released on 1974-05-31 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Numerical Methods in Physics and Engineering

Author : L. Nirenberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888667
Total Pages : 70 pages
Book Rating : 4.68/5 ( download)

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Download or read book Lectures on Linear Partial Differential Equations written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Donald Greenspan
Publisher : CRC Press
ISBN 13 : 0429973020
Total Pages : 140 pages
Book Rating : 4.24/5 ( download)

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Download or read book Numerical Analysis written by Donald Greenspan and published by CRC Press. This book was released on 2018-03-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Author : John R. Rice
Publisher : Springer Science & Business Media
ISBN 13 : 1461250188
Total Pages : 491 pages
Book Rating : 4.80/5 ( download)

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Download or read book Solving Elliptic Problems Using ELLPACK written by John R. Rice and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far advanced compared to the Fortran library approach in common current use. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems. Others will be able to solve really hard problems by digging a little deeper into ELLP ACK. ELLP ACK is a research tool for the study of numerical methods for solving elliptic problems. Its original purpose was for the evaluation and comparison of numerical software for elliptic problems. Simple examples of this use are given in Chapters 9-11. The general conclusion is that there are many ways to solve most elliptic problems, there are large differences in their efficiency and the most common ways are often less efficient, sometimes dramatically so.

Author : Robert W. McKelvey
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.30/5 ( download)

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Download or read book Lectures on Ordinary Differential Equations written by Robert W. McKelvey and published by . This book was released on 1970 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sylvia Weiser
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.35/5 ( download)

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Download or read book Guide to the Literature of Engineering, Mathematics, and the Physical Sciences written by Sylvia Weiser and published by . This book was released on 1972 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Eugene L. Allgower
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896945
Total Pages : 788 pages
Book Rating : 4.46/5 ( download)

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Download or read book Computational Solution of Nonlinear Systems of Equations written by Eugene L. Allgower and published by American Mathematical Soc.. This book was released on 1990-04-03 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.