The contact information for the following books is

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  Uri Ascher and Chen Greif, A First Course in Numerical Methods , SIAM, 2011.

  
  This is an undergraduate or beginning graduate introductory textbook on numerical methods.
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  Uri Ascher, Numerical Methods for Evolutionary Differential Equations, SIAM, 2008.

  
  This is a graduate textbook on numerical methods for time-dependent PDEs and ODEs.
  Solutions/additional examples
  Errata
  

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  Uri Ascher and Linda Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations , SIAM, 1998.

  
  This is a textbook which currently, in its second printing, has fewer bugs than the original.
  Errata
  

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  Uri Ascher, Bob Mattheij and Bob Russell, Numerical Solution of Boundary Value Problems for Ordinary Differenital Equations, SIAM Classics, 1995.

  
  This is a comprehensive reference book. The SIAM Classics edition is a lightly debugged version of the original from 1988.