Chapter 2, Assessment of Accuracy and Reliability

Statistics

Sparse Linear Algebra
Ronald F. Boisvert, Roldan Pozo, Karin Remington, Richard Barrett, and Jack Dongarra, The Matrix Market, a Web Repository for Test Matrix Data, in "Quality of Numerical Software: Assessment and Enhancement", edited by Ronald F. Boisvert, Chapman & Hall, London, 1997, pp. 125-137.

Sparse Linear Algebra

Initial Value ODEs

Initial Value ODEs

Stiff ODEs (New location)
Ernst Hairer and Gerhard Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, 1991. Springer Series in Comput. Mathematics, Vol. 14, 1991. Second revised edition 1996.

Boundary Value ODEs

Elliptic PDEs
John R. Rice and Ronald F. Boisvert, Solving Elliptic Equations Using ELLPACK, Springer-Verlag, 1985.

Multivariate Definite Integrals

Benchmarks for Optimization Software by Hans Mittelmann

Optimization
Christodoulos A. Floudas, Handbook of Test Problems for Local and Global Optimization, Kluwer Academic Publishers, Dordrecht, 1999.