时空统一的GIRM（广义积分表示法）用于非稳态对流扩散
Space-time-unified GIRM (Generalized Integral Representation Method) for unsteady advective diffusion
AI总结：
本文提出时空统一的GIRM方法，用于求解非稳态对流扩散问题，通过隐式时间演化提升计算效率，但Neumann问题需更小的时间步长。
摘要：
本文讨论了用于时空分离方法（STSM）和时空统一方法（STUM）的广义积分表示法（GIRM）。STSM和STUM分别给出显式和隐式的时间演化。STSM的算法比STUM简单得多。然而，STUM的隐式时间演化可以提供更高效的计算。使用传统基础解（TFS）对二维时空中的Dirichlet和Neumann问题进行了数值计算，结果似乎非常满意。但在Neumann问题中，时间步长必须比Dirichlet问题更小。
英文摘要：
The Generalized Integral Representation Method (GIRM) for Space-Time-Separated Method (STSM) and Space-Time-Unified Method (STUM) are discussed. STSM and STUM give explicit and implicit time evolutions, respectively. The algorithm of STSM is much simpler than STUM. However, the implicit time evolution of STUM could give us much more efficient computation. Numerical calculations using STUM for Dirichlet and Neumann problems in 2D space-time are conducted using a Traditional Fundamental Solution (TFS). The results seem very satisfactory. However, in case of Neumann problem, the time increment must be smaller than in case of Dirichlet problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
