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Author : Joseph S. Rosen
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)
Download or read book Approximate Solutions of Runge-Kutta Equations written by Joseph S. Rosen and published by . This book was released on 1967 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Thomas Day
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (89 download)
Download or read book On the Approximate Solution of Differential Equations written by James Thomas Day and published by . This book was released on 1963 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Solomon Grigorʹevich Mikhlin
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)
Download or read book Approximate Methods for Solution of Differential and Integral Equations written by Solomon Grigorʹevich Mikhlin and published by . This book was released on 1967 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to acquaint the reader with the most important and powerful methods of approximate solution of boundary-value problems (including the Cauchy problem) for differential equations, both ordinary and partial, as well as approximate methods for solution of the most frequently encountered types of integral equations: Fredholm, Volterra and singular one-dimensional. This covers the entire domain of classical applications of mathematical analysis to mechanics, engineering, and mathematical physics.
Author : Harold Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 1441998373
Total Pages : 493 pages
Book Rating : 4.4/5 (419 download)
Download or read book Numerical Approximation Methods written by Harold Cohen and published by Springer Science & Business Media. This book was released on 2011-12-10 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques that are now formally collected as well as original methods developed by the author that do not appear in the literature. This book contains an extensive treatment of approximate solutions to various types of integral equations, a topic that is not often discussed in detail. There are detailed analyses of ordinary and partial differential equations and descriptions of methods for estimating the values of integrals that are presented in a level of detail that will suggest techniques that will be useful for developing methods for approximating solutions to problems outside of this text. The book is intended for researchers who must approximate solutions to problems that cannot be solved analytically. It is also appropriate for students taking courses in numerical approximation techniques.
Author : Marwan Ibrahim Abukhaled
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (332 download)
Download or read book Runge-Kutta and Recursive Distribution Numerical Methods for Approximate Solution of Stochastic Differential Equations written by Marwan Ibrahim Abukhaled and published by . This book was released on 1995 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis Ceschino
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.F/5 ( download)
Download or read book Numerical Solution of Initial Value Problems written by Francis Ceschino and published by . This book was released on 1966 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- Part 1 : The single-step methods -- Generalities on the single-step methods Euler's method-Taylor's series -- Runge-Kutta method -- Relationships of the Runge-Kutta principle with the various single-step methods -- Runge-Kutta type formulas using higher order derivatives -- Part 2 : Multistep methods -- Adams method and analogues -- Different multistep formulas -- Application of the Runge-Kutta principle to the multistep methods -- Part 3 : Theoretical and practical considerations -- Theoretical considerations -- Practical considerations.
Author : William F. Trench
Publisher : Thomson Brooks/Cole
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.:/5 (321 download)
Download or read book Elementary Differential Equations with Boundary Value Problems written by William F. Trench and published by Thomson Brooks/Cole. This book was released on 2001 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Author : Mahinder Kumar Jain
Publisher : Wiley Eastern Limited
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.:/5 (319 download)
Download or read book Numerical Solution of Differential Equations written by Mahinder Kumar Jain and published by Wiley Eastern Limited. This book was released on 1984 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vasile Marinca
Publisher : Springer
ISBN 13 : 3319153749
Total Pages : 476 pages
Book Rating : 4.3/5 (191 download)
Download or read book The Optimal Homotopy Asymptotic Method written by Vasile Marinca and published by Springer. This book was released on 2015-04-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.
Author :
Publisher : Academic Press
ISBN 13 : 0080955835
Total Pages : 317 pages
Book Rating : 4.0/5 (89 download)
Download or read book Numerical Solution of Ordinary Differential Equations written by and published by Academic Press. This book was released on 1971-03-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author : Joe D. Hoffman
Publisher : CRC Press
ISBN 13 : 1482270609
Total Pages : 840 pages
Book Rating : 4.4/5 (822 download)
Download or read book Numerical Methods for Engineers and Scientists written by Joe D. Hoffman and published by CRC Press. This book was released on 2018-10-03 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Author : Bernard V Liengme
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627054197
Total Pages : 95 pages
Book Rating : 4.6/5 (27 download)
Download or read book Modelling Physics with Microsoft Excel written by Bernard V Liengme and published by Morgan & Claypool Publishers. This book was released on 2014-10-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates some of the ways in which Microsoft Excel® may be used to solve numerical problems in the field of physics. But why use Excel in the first place? Certainly, Excel is never going to out-perform the wonderful symbolic algebra tools tha
Author : Douglas Quinney
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (321 download)
Download or read book Introduction to the Numerical Solution of Differential Equations written by Douglas Quinney and published by John Wiley & Sons. This book was released on 1987-06-29 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Greenspan
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)
Download or read book Numerical Solutions of Nonlinear Differential Equations written by Donald Greenspan and published by . This book was released on 1966 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis G. Zill
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763745912
Total Pages : 1060 pages
Book Rating : 4.7/5 (459 download)
Download or read book Advanced Engineering Mathematics written by Dennis G. Zill and published by Jones & Bartlett Learning. This book was released on 2006 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly Updated, Zill'S Advanced Engineering Mathematics, Third Edition Is A Compendium Of Many Mathematical Topics For Students Planning A Career In Engineering Or The Sciences. A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0
Author : William Edmund Milne
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Numerical Solution of Differential Equations written by William Edmund Milne and published by . This book was released on 1953 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kees Dekker
Publisher : North Holland
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations written by Kees Dekker and published by North Holland. This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this monograph is to present a unified account of all developments concerning stability of Runge-Kutta methods for stiff nonlinear differential equations which began in 1975 with Dahlquist's G-stability paper and Butcher's B-stability paper. Designed for the reader with a background in numerical analysis, the book contains numerous theoretical and practical results aimed at giving insight into the treatment of nonlinear problems.
