To demonstrate its practical application, the code solves a PDE derived from a predator-prey model. This model is renowned for generating solutions that exhibit Turing patterns, which are observed in ...

Abstract: We develop a PDE-based approach to multi-agent deployment where each agent measures its relative position to only one neighbor. First, we show that such systems can be modeled by a ...

Abstract: In this article, we present a continuation method, which transforms spatially distributed ordinary differential equation (ODE) systems into a continuous partial differential equation (PDE).

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今天是 2025 年 12 月 31 日，又到了一年一度回顾与思考的时刻。回望 2025 年，人工智能正在以前所未有的速度重塑人类社会结构，而具身智能（Embodied ...