Exact and Truncated Difference Schemes for Boundary Value ODEs

• Preface.- 1 Introduction and a short historical overview.- 2 2-point difference schemes for systems of ODEs.- 3 3-point difference schemes for scalar monotone ODEs.- 4 3-point difference schemes for systems of monotone ODEs.- 5 Difference schemes for BVPs on the half-axis.- 6 Exercises and solutions.- Index.

From the reviews: "The authors present a first unified theory of finite difference methods for the solution of linear and nonlinear boundary value problems (BVPs) of ordinary differential equations (ODEs). ... The book is addressed to graduate students of mathematics and physics, as well as to working scientists and engineers as a self-study tool and reference. Researchers working with BVBs will find appropriate and effective numerical algorithms for their needs. ... also be used as a textbook for a one- or-two- semester course on numerical methods for ODEs." (Razvan Raducanu, Zentralblatt MATH, Vol. 1226, 2012)