From 59dabd5c266c7b128c212d9d0a2b2fd87424c249 Mon Sep 17 00:00:00 2001 From: Theresa Pollinger Date: Mon, 22 Jan 2024 20:58:44 +0100 Subject: [PATCH] paper: see if \vec syntax works --- paper.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/paper.md b/paper.md index 5adacfaf..e1dcb786 100644 --- a/paper.md +++ b/paper.md @@ -79,8 +79,8 @@ each of them differently in the different dimensions. By updating each other's information throughout the simulation, the component grids still obtain an accurate solution of the overall problem. This is enabled by an intermedate transformation into a multi-scale (hierarchical) basis, and application of the combination formula -$$ f^{(\text{s})} = \sum_{\vect{l} \in \mathcal{I} } c_{\vect{l}} f_{\vect{l}} $$ -where $f^{(\text{s})}$ is the sparse grid approximation, and $f_{\vect{l}}$ are the component grid functions. +$$ f^{(\text{s})} = \sum_{\vec{l} \in \mathcal{I} } c_{\vec{l}} f_{\vec{l}} $$ +where $f^{(\text{s})}$ is the sparse grid approximation, and $f_{\vec{l}}$ are the component grid functions. In summary, each of the grids will run (one or more) time steps of the simulation, then exchange information with the other grids, and repeat this process until the simulation is finished.