Numerical Solution Of The Inverse Sturm Liouville Problem
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Author | : Vladislav V. Kravchenko |
Publisher | : Springer Nature |
Total Pages | : 155 |
Release | : 2020-07-28 |
Genre | : Mathematics |
ISBN | : 3030478491 |
Download Direct and Inverse Sturm-Liouville Problems Book in PDF, Epub and Kindle
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.
Author | : Albert Chingkwang Yen |
Publisher | : |
Total Pages | : 140 |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Numerical Solution of the Inverse Sturm-Liouville Problem Book in PDF, Epub and Kindle
Author | : Michael Allen Siebold |
Publisher | : |
Total Pages | : 110 |
Release | : 2010 |
Genre | : Sturm-Liouville equation |
ISBN | : |
Download A Numerical Approach to Singular Inverse Sturm-liouville Problems Book in PDF, Epub and Kindle
Develops the theory necessary to obtain a numerical solution to the inverse Sturm-Liouville problem, which was applied to four test functions.
Author | : Boris Moiseevič Levitan |
Publisher | : VSP |
Total Pages | : 258 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 9789067640558 |
Download Inverse Sturm-Liouville Problems Book in PDF, Epub and Kindle
The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in mathematical physics. This monograph is devoted to the detailed theory of inverse problems and methods of their solution for the Sturm-Liouville case. Chapters 1--6 contain proofs which are, in many cases, very different from those known earlier. Chapters 4--6 are devoted to inverse problems of quantum scattering theory with attention being focused on physical applications. Chapters 7--11 are based on the author's recent research on the theory of finite- and infinite-zone potentials. A chapter discussing the applications to the Korteweg--de Vries problem is also included. This monograph is important reading for all researchers in the field of mathematics and physics.
Author | : G. Freiling |
Publisher | : Nova Biomedical Books |
Total Pages | : 324 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : |
Download Inverse Sturm-Liouville Problems and Their Applications Book in PDF, Epub and Kindle
This book presents the main results and methods on inverse spectral problems for Sturm-Liouville differential operators and their applications. Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural sciences. Inverse problems also play an important role in solving non-linear evolution equations in mathematical physics. Interest in this subject has been increasing permanently because of the appearance of new important applications, resulting in intensive study of inverse problem theory all over the world.
Author | : Werner O. Amrein |
Publisher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 2005-12-05 |
Genre | : Mathematics |
ISBN | : 3764373598 |
Download Sturm-Liouville Theory Book in PDF, Epub and Kindle
This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th 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 has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. 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.
Author | : Gerhard Freiling |
Publisher | : |
Total Pages | : 10 |
Release | : 2007 |
Genre | : |
ISBN | : |
Download Numerical Solutions for Singular Inverse Sturm-Liouville Problems Book in PDF, Epub and Kindle
Author | : Jorge Nocedal |
Publisher | : Forgotten Books |
Total Pages | : 24 |
Release | : 2017-11-26 |
Genre | : Mathematics |
ISBN | : 9780331545135 |
Download Numerical Methods for Solving Inverse Eigenvalue Problems (Classic Reprint) Book in PDF, Epub and Kindle
Excerpt from Numerical Methods for Solving Inverse Eigenvalue Problems A slight reformulation of describes the additive inverse eigenvalue problem, which arises in the solution of inverse Sturm Liouville problems. In practice it happens frequently that only some eigenvalues are given. However, for the purpose of analysis it is convenient to consider the case where the number of parameters, eigen values and the order of the matrices is the same. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author | : Don Hinton |
Publisher | : CRC Press |
Total Pages | : 422 |
Release | : 1997-05-06 |
Genre | : Mathematics |
ISBN | : 9780824700300 |
Download Spectral Theory & Computational Methods of Sturm-Liouville Problems Book in PDF, Epub and Kindle
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. It surveys questions in the field as well as describing applications and concepts.
Author | : Don Hinton |
Publisher | : CRC Press |
Total Pages | : 416 |
Release | : 2021-02-28 |
Genre | : Mathematics |
ISBN | : 1000657760 |
Download Spectral Theory & Computational Methods of Sturm-Liouville Problems Book in PDF, Epub and Kindle
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. It surveys questions in the field as well as describing applications and concepts.