ADAPTATION OF NUMERICAL METHODS TO THE SOFTWARE IMPLEMENTATION OF APPLIED AND ENGINEERING PROBLEMS IN THE SPHERE OF UX/UI DESIGN

Abstract

The article explores various approaches and techniques that can be used to adapt numerical methods to software implementation of applied and engineering tasks in the field of UX and UI design. At the same time, attention is focused on methods that ensure speed, accuracy and efficiency of calculations, and also take into account the specificity of user interfaces. An overview and analysis of modern developments and achievements in the field of UX and UI design is made, as well as the prospects and possible contributions of numerical methods to improving the process of creating the final product and its filling are outlined. Attention is also focused on various aspects, from data analysis and visualization to optimization of the layout of interface elements. The research was carried out for a deeper understanding of the possibilities and advantages of numerical methods in the modern design of user interfaces. At the same time, it is emphasized that the use of numerical methods requires taking into account certain factors, such as sample size, data distribution, and research context. This study highlights the key challenges UX and UI designers face when designing complex interfaces. The requirements for the speed and efficiency of calculations and their growth depending on the increase in the amount of data processed in real time are described. It is emphasized that the accuracy of numerical methods is a decisive factor for ensuring a high quality of interaction with the user. The dependence of the optimization of the location of the interface elements on accurate measurements and calculations performed using numerical methods was established. As a result of the conducted research, it was confirmed that numerical methods can be valuable tools in information architecture in UI/UX design for creating logical structures of information grouping and developing a qualitative content structure. The research results open new perspectives for the use of numerical methods in UX and UI design as a tool for improving productivity, reducing development time, and improving the quality of the final product.