This paper presents a review of error sources in numerical simulations and practical examples from various application fields.
Numerical simulations are a cornerstone of modern scientific inquiry and technological development. They enable researchers to analyze complex systems that are analytically intractable or experimentally unfeasible. However, the results of numerical simulations are invariably affected by a variety of errors that compromise their reliability and predictive capacity. This paper presents a review of error sources in numerical simulations and practical examples from various application fields. The analysis covers modeling, discretization, truncation, round-off, algorithmic, iteration, parameterization and uncertainty-related errors. Historical failures are discussed to illustrate the real-world consequences of ignoring such errors.
Johann Markus Schauerhuber
During his studies and academic resp. professional activities Prof. Dr. Dr. Johann Markus Schauerhuber has been intensively involved in statistical programming, stochastic, risk theory, simulation and mathematical modeling.
Most of his professional experience has been gained in the university domain as an academic director, postdoc lecturer / researcher and in government authorities.
Email: jm_schauerhuber@gmx.at