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Lectures On The Numerical Solution Of Linear Singular And Nonlinear Differential Equations
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Book Synopsis Lectures on the Numerical Solution of Linear, Singular, and Nonlinear Differential Equations by : Donald Greenspan
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:
Book Synopsis Lectures on Differential Equations by : Philip L. Korman
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.
Book Synopsis Lectures on Differential Equations by : Solomon Lefschetz
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.
Book Synopsis Discrete Numerical Methods in Physics and Engineering by : Greenspan
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
Book Synopsis Lectures on Linear Partial Differential Equations by : L. Nirenberg
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:
Book Synopsis Numerical Analysis by : Donald Greenspan
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.
Book Synopsis Solving Elliptic Problems Using ELLPACK by : John R. Rice
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.
Book Synopsis Lectures on Ordinary Differential Equations by : Robert W. McKelvey
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:
Book Synopsis Computational Solution of Nonlinear Systems of Equations by : Eugene L. Allgower
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.
Book Synopsis Guide to the Literature of Engineering, Mathematics, and the Physical Sciences by : Sylvia Weiser
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:
Book Synopsis Waterflow in Soils by : C. R. Amerman
Download or read book Waterflow in Soils written by C. R. Amerman and published by . This book was released on 1976 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ARS-NC. written by and published by . This book was released on 1975 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ARS-NC. by : United States. Agricultural Research Service
Download or read book ARS-NC. written by United States. Agricultural Research Service and published by . This book was released on 1976 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods by : Ernst Hairer
Download or read book The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods written by Ernst Hairer and published by Springer. This book was released on 2006-11-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.
Book Synopsis Lecture Notes in Numerical Methods of Differential Equations by : Tadeusz Stys
Download or read book Lecture Notes in Numerical Methods of Differential Equations written by Tadeusz Stys and published by Bentham Science Publishers. This book was released on 2009-08-11 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Ebook is designed for science and engineering students taking a course in numerical methods of differential equations. Most of the material in this Ebook has its origin based on lecture courses given to advanced and early postgraduate students. This
Book Synopsis Multiple Scale and Singular Perturbation Methods by : J.K. Kevorkian
Download or read book Multiple Scale and Singular Perturbation Methods written by J.K. Kevorkian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Book Synopsis A Survey of Optimal Control of Distributed-parameter Systems by : Alfred C. Robinson
Download or read book A Survey of Optimal Control of Distributed-parameter Systems written by Alfred C. Robinson and published by . This book was released on 1969 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books.
