Article
Exploring Sensitivity: The Effect of Varying Data Points on the Agreement Between Numerical and Theoretical Results (en)
* Presenting author
Abstract:
Comparing numerical results with theoretical ones is crucial in validating scientific hypotheses, ensuring the accuracy of mathematical models, andenhancing our understanding of complex phenomena through empirical validation. The analysis focuses on understanding the effect of different response variable points on outcomes and the comparison process. An attempt will be made to understand how the numerical frequency response changes in shape by considering points more or less close to the excitation point. Evaluations of the mesh effect will be taken into account for this understanding. By systematically altering these points, fluctuations are observed in numerical results. This variability highlights the sensitivity of the comparison process to the choice of data points. The study delves into the underlying reasons for these discrepancies, exploring potential sources of error and their implications. Through rigorous examination, valuable insights are provided into the factors contributing to the observed differences, offering a nuanced perspective on the relationship between theoretical models and numerical simulations. The findings illuminate the complexities involved in comparing theoretical and numerical results, emphasizing the necessity for a careful selection of data points and the development of robust methodologies to enhance the accuracy and reliability of such comparisons.