Simple Self-Reproduction Programs in a Cellular Space Based on the Parallel Substitution Algorithm

A Higher-Order Compact Method in Space a

A Higher-Order Compact Method in Space and Time Based on Parallel Implementation of the Thomas Algorithm

✍ Alex Povitsky; Philip J. Morris 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 143 KB

In this study we propose a novel method to parallelize high-order compact numerical algorithms for the solution of three-dimensional PDEs in a space-time domain. For such a numerical integration most of the computer time is spent in computation of spatial derivatives at each stage of the Runge-Kutta