郭义销，明平兵，于灏高维薛定谔特征值问题在诸多科学和工程领域中起着至关重要的作用。然而，由于维数灾难和奇异势函数等困难，精确求解这一问题面临巨大挑战。因此，为该问题设计高精度的高效计算方法具有重要意义。针对高维区域上薛定谔算子的Dirichlet特征 ...

When you cut yourself, a mass migration begins inside your body: Skin cells flood by the thousands toward the site of the wound, where they will soon lay down fresh layers of protective tissue. In a ...

When you cut yourself, a mass migration begins inside your body: Skin cells flood by the thousands toward the site of the wound, where they will soon lay down fresh layers of protective tissue. In a ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

I will consider the problem of inferring the dynamics underlying biological data using two case studies in equation learning and topological data analysis. The math biology field presents several ...