Numerical Methods for Two-Point Boundary-Value Problems

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Publisher : Courier Dover Publications
ISBN 13 : 0486828344
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Numerical Methods for Two-Point Boundary-Value Problems by : Herbert B. Keller

Download or read book Numerical Methods for Two-Point Boundary-Value Problems written by Herbert B. Keller and published by Courier Dover Publications. This book was released on 2018-11-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.

Numerical Methods for Two-point Boundary-value Problems

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods for Two-point Boundary-value Problems by : Herbert Bishop Keller

Download or read book Numerical Methods for Two-point Boundary-value Problems written by Herbert Bishop Keller and published by . This book was released on 1992 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief, elementary yet rigorous account of practical numerical methods for solving very general two-point boundary-value problems. Advanced undergraduate level. Over 100 problems.

Numerical Solution of Two Point Boundary Value Problems

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Publisher : SIAM
ISBN 13 : 9781611970449
Total Pages : 69 pages
Book Rating : 4.9/5 (74 download)

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Book Synopsis Numerical Solution of Two Point Boundary Value Problems by : Herbert B. Keller

Download or read book Numerical Solution of Two Point Boundary Value Problems written by Herbert B. Keller and published by SIAM. This book was released on 1976-01-01 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

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Publisher : SIAM
ISBN 13 : 9781611971231
Total Pages : 620 pages
Book Rating : 4.9/5 (712 download)

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Book Synopsis Numerical Solution of Boundary Value Problems for Ordinary Differential Equations by : Uri M. Ascher

Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.

Two-point Boundary Value Problems: Shooting Methods

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Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Two-point Boundary Value Problems: Shooting Methods by : Sanford M. Roberts

Download or read book Two-point Boundary Value Problems: Shooting Methods written by Sanford M. Roberts and published by Elsevier Publishing Company. This book was released on 1972 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To Numerical Computation, An (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811204438
Total Pages : 339 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Numerical Computation, An (Second Edition) by : Wen Shen

Download or read book Introduction To Numerical Computation, An (Second Edition) written by Wen Shen and published by World Scientific. This book was released on 2019-08-28 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Numerical Methods for Two Point Boundary-Value Pro Blems

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Publisher :
ISBN 13 : 9780471003045
Total Pages : pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Numerical Methods for Two Point Boundary-Value Pro Blems by : Keller

Download or read book Numerical Methods for Two Point Boundary-Value Pro Blems written by Keller and published by . This book was released on 1968-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations with Numerical Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3540887059
Total Pages : 263 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Partial Differential Equations with Numerical Methods by : Stig Larsson

Download or read book Partial Differential Equations with Numerical Methods written by Stig Larsson and published by Springer Science & Business Media. This book was released on 2008-12-05 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.

The Numerical Solution of Two-point Boundary Problems in Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Numerical Solution of Two-point Boundary Problems in Ordinary Differential Equations by : Leslie Fox

Download or read book The Numerical Solution of Two-point Boundary Problems in Ordinary Differential Equations written by Leslie Fox and published by . This book was released on 1957 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations

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Publisher : Academic Press
ISBN 13 : 1483267997
Total Pages : 380 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations by : A.K. Aziz

Download or read book Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations written by A.K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.

Nonlinear Two Point Boundary Value Problems

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Publisher : Academic Press
ISBN 13 : 0080955525
Total Pages : 190 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Nonlinear Two Point Boundary Value Problems by : Bailey

Download or read book Nonlinear Two Point Boundary Value Problems written by Bailey and published by Academic Press. This book was released on 1968 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Two Point Boundary Value Problems

Two-Point Boundary Value Problems: Lower and Upper Solutions

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Publisher : Elsevier
ISBN 13 : 9780080462479
Total Pages : 502 pages
Book Rating : 4.4/5 (624 download)

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Book Synopsis Two-Point Boundary Value Problems: Lower and Upper Solutions by : C. De Coster

Download or read book Two-Point Boundary Value Problems: Lower and Upper Solutions written by C. De Coster and published by Elsevier. This book was released on 2006-03-21 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. · Presents the fundamental features of the method · Construction of lower and upper solutions in problems · Working applications and illustrated theorems by examples · Description of the history of the method and Bibliographical notes

Numerical Solution of Nonlinear Boundary Value Problems with Applications

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Publisher : Courier Corporation
ISBN 13 : 0486463001
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Numerical Solution of Nonlinear Boundary Value Problems with Applications by : Milan Kubicek

Download or read book Numerical Solution of Nonlinear Boundary Value Problems with Applications written by Milan Kubicek and published by Courier Corporation. This book was released on 2008-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.

Introduction to Numerical Methods in Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387681213
Total Pages : 248 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Introduction to Numerical Methods in Differential Equations by : Mark H. Holmes

Download or read book Introduction to Numerical Methods in Differential Equations written by Mark H. Holmes and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.

Boundary Value Problems for Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821830260
Total Pages : 266 pages
Book Rating : 4.8/5 (32 download)

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Book Synopsis Boundary Value Problems for Differential Equations by : V. P. Mikhailov

Download or read book Boundary Value Problems for Differential Equations written by V. P. Mikhailov and published by American Mathematical Soc.. This book was released on 1975 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Difference Methods for Ordinary and Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Numerical Solution of Ordinary Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 1118164520
Total Pages : 272 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Numerical Solution of Ordinary Differential Equations by : Kendall Atkinson

Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.