6 edition of **Spectral theory and computational methods of Sturm-Liouville problems** found in the catalog.

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Published
**1997**
by M. Dekker in New York
.

Written in

- Sturm-Liouville equation -- Numerical solutions -- Congresses.,
- Spectral theory (Mathematics) -- Congresses.

**Edition Notes**

Statement | edited by Don Hinton, Philip W. Schaefer. |

Series | Lecture notes in pure and applied mathematics ;, v. 191 |

Contributions | Hinton, Don, 1937-, Schaefer, P. W. |

Classifications | |
---|---|

LC Classifications | QA379 .S68 1997 |

The Physical Object | |

Pagination | viii, 399 p. : |

Number of Pages | 399 |

ID Numbers | |

Open Library | OL657677M |

ISBN 10 | 0824700309 |

LC Control Number | 97002838 |

With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problems: Sturm-Liouville Theory reflects much of Dr. Atkinson’s final work. After covering standard multiparameter problems, the book investigates the conditions for eigenvalues to be real and form a discrete set. The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, , at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada.

Qin Gao, Xiaoliang Cheng and Zhengda Huang, Modified Numerov’s method for inverse Sturm–Liouville problems, Journal of Computational and Applied Mathematics, , (), (). Crossref Etibar S Panakhov and Murat Sat, Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential, Boundary Value Problems, 10 Cited by: The text is particularly strong on the spectral theory of Sturm-Liouville equations, which has given rise to a major branch of modern analysis. Among other current aspects of the theory discussed are oscillation theory for differential equations and Jacobi matrices, approximation of singular boundary value problems by regular Format: Hardcover.

An inverse matrix eigenvalue problem (with A. Alaca) in Spectral Theory and computational methods of Sturm-Liouville Problems, D.B. Hinton and P.W. Schaefer eds., Marcel Dekker, New York, (), The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov. The greatest success in spectral theory of ordinary differential operators has been achieved for Sturm–Liouville problems. The Sturm–Liouville-type boundary value problem appears Author: O. Sh. Mukhtarov, M. Yücel.

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Book Description. Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems.

Spectral Theory & Computational Methods of Sturm-Liouville Problems - CRC Press Book Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems.

Get this from a library. Spectral theory and computational methods of Sturm-Liouville problems. [Don Hinton; P W Schaefer;] -- Presenting the proceedings of a recent conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this timely.

Book review: Spectral Theory and Computational Methods of Sturm-Liouville Problems by Hinton and Schaefer, Marcel Dekker Brown, B. Abstract. Not Available. Publication: International Journal for Numerical Methods in Engineering. Pub Date: February DOI: /(SICI)()CO; Cited by: 4.

This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in to commemorate the th anniversary of the birth of Charles François Sturm.

It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research.

It is the first time that such a comprehensive survey. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

Keywords Applied Mathematics Boundary value problem Finite Sturm-Liouville-Theorie calculus differential equation equation function mathematics partial differential equation.

() A challenging problem in the spectral theory of Sturm–Liouville equations has been the analysis of the Dirichlet operator under the hypothesis that satisfy a bound for sufficiently large, of the form, for some.

The Sturm–Liouville theory has been the keystone for the development of spectral methods and the theory of self-adjoint operators. For many applications, the Sturm–Liouville Problems (SLPs) are studied as boundary-value problems. However, to date mostly integer-order differential operators in SLPs have been used, and such operators do not include any Cited by: The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems.

This book aims to show what can be achieved with the aid of transformation operators in spectral theory as well as their applications. Inverse Sturm-Liouville Problems and Their Applications. This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory.

It may serve as a reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory.

Buy Spectral Theory & Computational Methods of Sturm-Liouville Problems (Lecture Notes in Pure and Applied Mathematics) on FREE SHIPPING on qualified orders Spectral Theory & Computational Methods of Sturm-Liouville Problems (Lecture Notes in Pure and Applied Mathematics): Hinton, Don: : Books.

In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.

It is a result of studies of linear algebra and the solutions of systems of linear equations and their generalizations. The theory is connected to. Abstract.

It is the aim of this article to present a brief overview of the theory of Sturm-Liouville operators, self-adjointness and spectral theory: minimal and maximal operators, Weyl’s alternative (limit point/limit circle case), deficiency indices, self-adjoint realizations, spectral Cited by: some of the motivation for further investigations into the spectral theory of Sturm-Liouville operators.

The purpose of this monograph is twofold: (i) to give a modern survey of some of the basic properties of the Sturm-Liouville equation and (ii) to bring the reader to the forefront of knowledge on some aspects of SLP.

Spectral theory and computational methods of Sturm-Liouville problems. New York: Marcel Dekker, © (DLC) (OCoLC) Material Type: Conference publication, Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Don Hinton; P W Schaefer.

Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation Article in Journal of Computational Physics (3). A technique based on the evaluation of the zeros of a polynomial is proposed to estimate the spectral errors and set up a correcting procedure in Sturm–Liouville problems.

The method suggested shows its effectiveness both in the regular and nonregular case and can be successfully applied also to those problems containing the eigenvalue Cited by: 9. This book is a collection of lecture notes and survey papers based on the minicourses given by leading experts at the CRM Summer School on Spectral Theory and Applications, held from July 4–14,at Université Laval, Québec City, Québec, Canada.

The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The text is particularly strong on the spectral theory of Sturm-Liouville equations, which has given rise to a major branch of modern analysis. In Sturm and Liouville published a series of papers on second order linear ordinary differential operators, which started the subject now known as the Sturm-Liouville problem.

In Hermann Weyl published an article which started the study of singular Sturm-Liouville problems. Since then, the Sturm-Liouville theory remains an intensely active field of.

Spectral analysis of Sturm-Liouville and Schr ¨ odinger di ﬀ erential equations with a spectral parameter in the boundary conditions has been analyzed intensively see 1 – We first develop a spectrally accurate Petrov--Galerkin spectral method for fractional delay differential equations (FDDEs).

This scheme is developed based on a new spectral theory for fractional Sturm--Liouville problems (FSLPs), which has been recently presented in [M. Zayernouri and G. E. Karniadakis, J. by: For this case we write u(a) = u(b) and u′(a) = u′(b).

Boundary value problems using these conditions have to be handled diﬀerently than the above homogeneous conditions. These conditions leads to diﬀerent types of eigenfunctions and eigenvalues.

As previously mentioned, equations of the form () occur Size: KB.