Description
Sturm-Liouville Problems
Theory and Numerical Implementation
Chapman & Hall/CRC Monographs and Research Notes in Mathematics Series
Authors: Guenther Ronald B., Guenther Ronald B., Lee John W, Lee John W
Language: English
Subjects for Sturm-Liouville Problems:
Keywords
Sturm Liouville Eigenvalue Problem; Euclidean Geometry; Eigenvalue Problem; Euclidean Spaces; Sturm Liouville Problems; Integral Operators; Wave Equation; Green's functions; Eigenfunction Expansion; Shooting methods; Sturm Liouville Boundary; John W; Lee; Ordinary Differential Equations; science and engineering applications; Green's Function; partial differential equations; Shooting Method; numerical implementation; Damped Wave Equation; Sturm-Liouville problems; Singular Sturm Liouville Problems; integral equations; Elastic Potential Energy; Elastic Energy; Heat Equation; Normal Modes; Bessel's Equation; Euler Buckling; Fundamental Frequency; Partial Differential Equation; Sturm Liouville Differential Equation; Solution Formula; Virtual Motion; Separated Boundary Conditions; Initial Boundary; Approximate Eigenvalues
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the book of Guenther Ronald B., Guenther Ronald B., Lee John W, Lee John W
· 17.8x25.4 cm · Hardback
Description
/li>Contents
/li>Biography
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Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation addresses, in a unified way, the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems.
Preface. 1 Setting the Stage. 2 Preliminaries. 3 Integral Equations. 4 Regular Sturm-Liouville Problems. 5 Singular Sturm-Liouville Problems - I. 6 Singular Sturm-Liouville Problems – II. 7 Approximation of Eigenvalues and Eigenfunctions. 8 Concluding Examples and Observations. A Mildly Singular Compound Kernels. B Iteration of Mildly Singular Kernels. C The Kellogg Conditions
Ronald B. Guenther is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include fluid mechanics and mathematically modelling deterministic systems and the ordinary and partial differential equations that arise from these models.
John W. Lee is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include differential equations, especially oscillatory properties of problems of Sturm-Liouville type and related approximation theory, and integral equations.
