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The issue of reliability of computer predictions of physical events is examined as the goal of veriflcation and validation processes. It is argued that veriflcation, both solution and code veriflcation, can be carried out with a high degree of confldence, even though much remains to be done to improve and advance veriflcation procedures. It is validation of mathematical models that stands as the major bottleneck of reliable computer predictions. Uncertainty of input data represents a major feature of validation processes and must be quantifled if models are to be judged valid or invalid. Examples are given from solid mechanics and heat transfer that demonstrate validation processes employing stochastic models and fuzzy set theories.
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