Tuned test problems for numerical methods in engineering

When numerical methods are applied in engineering, veriÞcation is essential. Test problems can help in meeting this requirement. This is especially so when these problems are tuned to the application at hand. Unfortunately, in practice such tuned test problems are not always directly available. For these cases, this paper describes an approach for constructing tuned test problems. The approach may be used on ordinary or partial di¤erential equations, be they linear or non-linear. This is demonstrated on a number of applications drawn from dynamics, solid mechanics, and ßuid mechanics