Creating Hybrid Exponential Asymptotics for use with Computational Data

渐近分析是研究具有临界效应的微小影响的重要工具。这个项目旨在创建一个创新的全自动渐近框架，用于研究经典近似方法看不见的现象，使用渐近学和数值复分析的新想法。其成果将是第一个可用于数值模拟或现实生活测量数据的框架，并且无需实际操作的专家输入即可自动应用。它将被用于设计水下结构和高效船只，并将表面波的能量损失降至最低。预期的好处包括让科学家能够接触到强大的方法，以及节能工业设计的新途径。

Asymptotic analysis is a vital tool for studying small influences with critical effects. This project aims to create an innovative fully-automated asymptotic framework for studying phenomena which are invisible to classical approximation methods, using new ideas from asymptotics and numerical complex analysis. The outcome will be the first framework that can be used on data from numerical simulations or real-life measurements, and which can be applied automatically without hands-on expert input. It will be used to design submerged structures and efficient vessels with minimal energy loss from surface waves. Expected benefits include making powerful methods accessible to scientists, and new paths for energy-efficient industrial design.