Abstract Dynamical low-rank approximation to the solutions of matrix differential equations leads to differential equations for the factors of a low-rank factorization of the matrices. Error bounds depending on the Lipschitz constant of the problem become not satisfactory in the case of parabolic problems with a linear stiff term and a smooth nonstiff nonlinearity. In this paper, we provide sharper error bounds, depending only on the Lipschitz constant of the nonstiff nonlinearity.

中文翻译：

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抛物线微分方程解的动力学低秩逼近

摘要 矩阵微分方程解的动态低秩逼近导致矩阵低秩分解因子的微分方程。在具有线性刚性项和平滑非刚性非线性的抛物线问题的情况下，取决于问题的 Lipschitz 常数的误差界限变得不令人满意。在本文中，我们提供了更清晰的误差界限，仅取决于非刚性非线性的 Lipschitz 常数。