From 492bc3b20b8a91384beca4df1df5c210b85aecf0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Max=20L=C3=BCbke?= Date: Mon, 18 Oct 2021 11:56:38 +0200 Subject: [PATCH] update README --- README.org | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/README.org b/README.org index c570577..fcb9b90 100644 --- a/README.org +++ b/README.org @@ -8,7 +8,7 @@ With this readme I will document all my steps I've done and will do. - $\alpha$ - diffusion coefficient (dependent on species and direction(?)) - $h=1/M$ : with $M^2 = [0,1]^2$ - grid divided into parts between 0 and 1 (/spatial step/) -- $k=T/N$ : with $N = [0,T]$ - time steps per iteration (/time step/) +- $k=T/N$ : with $N = [0,T]$ - time step size - coefficients of the given equation from the paper are: - $\alpha_xk/h^2$ in x direction - $\alpha_yk/h^2$ in y direction @@ -23,3 +23,12 @@ parallelize but I will keep parallelization in mind. Regarding the borders: I'm not quite sure what to do. Maybe it might be a good idea to use a simple gaussian kernel here to smooth those two columns and two lines. + +* Implementation + +So currently I consider to implement the following methods for the module: + +- +decompose matrix A into L and U+ +- better use a library like Eigen here: + - using =SparseMatrix= to represent matrix $A$ + - =SparseLU= to solve