Upper and Lower Bounds for Solutions of Generalized Two-point Boundary Value Problems PDF Download
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Author: J. Schroeder
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: J. Schroeder
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: Johann Schröder
Publisher:
ISBN:
Category :
Languages : en
Pages : 37
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Book Description
Author: Herbert B. Keller
Publisher: SIAM
ISBN: 9781611970449
Category : Mathematics
Languages : en
Pages : 69
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Book Description
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.
Author: C. De Coster
Publisher: Elsevier
ISBN: 0080462472
Category : Mathematics
Languages : en
Pages : 502
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Book Description
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
Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898713544
Category : Mathematics
Languages : en
Pages : 617
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Book Description
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.
Author: Feliz Manuel Minhos
Publisher: World Scientific
ISBN: 9813220074
Category : Mathematics
Languages : en
Pages : 217
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Book Description
This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm-Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations). It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators.The reader will find a selection of original and recent results in this field, conditions to obtain solutions with particular qualitative properties, such as homoclinic and heteroclinic solutions and its relation with the solutions of Lidstone problems on all the real line.Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases.The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive data where an overall behavior of the unknown functions and their derivatives is involved.
Author: Joaquin B. Diaz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 94
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Book Description
This paper is intended as an introduction to several methods for obtaining reliable, precise, numerically computable upper and lower bounds for a large class of problems of the general nature of those mentioned in the title. For definiteness, only certain specific boundary value problems will be considered in detail, although the same procedures can be easily seen to be applicable in more general situations.
Author: Herbert Bishop Keller
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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.
Author: R. E. Gaines
Publisher: Springer
ISBN: 3540375015
Category : Mathematics
Languages : en
Pages : 267
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Book Description
Author: Bailey
Publisher: Academic Press
ISBN: 0080955525
Category : Computers
Languages : en
Pages : 190
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Book Description
Nonlinear Two Point Boundary Value Problems
