Synonyms
Calculation verification; Code verification; Numerical uncertainty; Solution verification
Short Definition
Verification is the process of ensuring that numerical simulation results are a sufficiently accurate representation of the exact solution to a mathematical model.
Introduction
Mathematical models are used in science and engineering to describe the behavior of a system. In many cases, these models take the form of partial differential equations (PDEs) which require numerical solutions (i.e., simulations) due to their complexity. Verification and validation provide a means for assessing the credibility and accuracy of mathematical models and their subsequent simulations [1–3]. Verification deals with assessing the numerical accuracy of a simulation relative to the true result of the model. Validation, on the other hand, is the assessment of the accuracy of the model relative to experimental observations. For models based on PDEs (which we will consider exclusively in this...
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References
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Roy, C.J. (2015). Verification. In: Engquist, B. (eds) Encyclopedia of Applied and Computational Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70529-1_311
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DOI: https://doi.org/10.1007/978-3-540-70529-1_311
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