论文标题
通用系统的最小化方法
A minimizing-movements approach to GENERIC systems
论文作者
论文摘要
我们提出了一种适合通用系统结构的新时间离散化方案。该方案本质上是变异的，是基于条件增量最小化的。该方案的通用结构提供了方案的稳定性和收敛性。我们证明，在阻尼的谐波振荡器的情况下，该方案可以严格实施。收集了数值证据，说明了该方法的性能。
We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is variational in nature and is based on a conditional incremental minimization. The GENERIC structure of the scheme provides stability and convergence of the scheme. We prove that the scheme can be rigorously implemented in the case of the damped harmonic oscillator. Numerical evidence is collected, illustrating the performance of the method.
