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Precise numerical evaluation of Feynman integrals plays a central role in particle physics. While some methods focus on individual phase-space points, others exploit differential equations to efficiently propagate results across kinematic regions. LINE is an open-source program that integrates both strategies within a single tool, computing boundary values and propagating them accordingly. Written primarily in C/C++, it is designed for performance and scalability, enabling large-scale computations on clusters without relying on proprietary software. In this talk, I will introduce the core ideas behind LINE and present a few representative applications.