We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest on the Fundamental Principle of Ehrenpreis-Palamodov from the 1960s. We develop this further using recent advances in computational commutative algebra.

中文翻译：

---

常数系数的线性PDE

我们讨论了计算具有常数系数的偏微分方程的任意齐次线性系统解的空间的实用方法。这些基于1960年代的埃伦普雷-帕拉莫多夫基本原理。我们使用计算可交换代数的最新进展进一步发展这一点。