Text Books for Math. 556

  1. We will continue to use the manuscript, Introduction to Numerical Analysis by Arnold Neumaier for the study of single nonlinear equations and systems of nonlinear equations. Details can be found as they are posted in the course outline and  assignments.
  2. We will be using an electronic book from the Computational Science Research Project for material on optimization, ordinary differential equations, and partial differential equations (part 1 and part 2). A Table of Contents for this entire set of lectures is available. The material is presented as a system of web pages. Printed copies can also be obtained by downloading Postscript; contact me if you have questions about this.
  3. A reference will be Rigorous Global Search: Continuous Problems, R. Baker Kearfott, Kluwer Academic Publishers, Dordrecht, Netherlands, 1996.
  4. In addition to the Fortran 90 resources mentioned from last semester, the Computational Science Research Project has a chapter on Fortran 90.
  5. The following additional on-line references will be useful:
    1. Templates for the Solution of Linear Systems by Jack Dongarra has a short explanation on the theory behind the conjugate gradient method.