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.

Optimization NEOS Guide Test Problems