Green's Functions with Applications

Dean G. Duffy received his bachelor of science in geophysics from Case Institute of Technology, Cleveland, Ohio, USA, and his doctorate of science in meteorology from the Massachusetts Institute of Technology, Cambridge, USA. He served in the US Air Force for four years as a numerical weather prediction officer. After his military service, he began a twenty-five year association with the National Aeronautics and Space Administration’s Goddard Space Flight Center, Greenbelt, Maryland, USA. Widely published, Dr. Duffy has taught courses at the US Naval Academy, Annapolis, Maryland, and the US Military Academy, West Point, New York.

About the Previous Edition"Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further toward exposing the detailed workings of important examples (wave equation, heat equation, Hemholtz equation on various domains). … Many plots help the reader picture the behavior of these functions. … a valuable sourcebook."—CHOICE Magazine, March 2002"The focus of this book is predominantly on low-temperature plasmas, but it contains a wonderful depth of technical material and background for understanding in general much of the laboratory generated plasmas and various applications using laboratory generated plasmas…. Because it is so well written and illustrated, readers will be quickly able to understand and benefit from this book. –IEEE Electrical Insulation (Nov/Dec 2016)

• Historical Development. Background Material. Green’s Functions for Ordinary Differential Equations. Green’s Functions for the Wave Equation. Green’s Functions for the Heat Equation. Green’s Functions for the Helmholtz Equation. Numerical Methods.