Sturm-Liouville Problems

Theory and Numerical Implementation
1. Auflage 2018
ISBN: 978-1-138-34543-0
Verlag: Taylor & Francis Ltd

Buch, Englisch, 420 Seiten, Format (B × H): 260 mm x 185 mm, Gewicht: 930 g

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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.

Autoren/Hrsg.

Guenther, Ronald B.

Lee, John W

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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

Über Autor(innen)

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.