X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/blobdiff_plain/e8ef95b33e7a3163998636257872682e926c913a..c76d2115cc2c37904fb4173b7b1e0288a6646c9c:/BookGPU/Chapters/chapter16/bdf.tex?ds=sidebyside diff --git a/BookGPU/Chapters/chapter16/bdf.tex b/BookGPU/Chapters/chapter16/bdf.tex index bd4e5d5..83abbc3 100644 --- a/BookGPU/Chapters/chapter16/bdf.tex +++ b/BookGPU/Chapters/chapter16/bdf.tex @@ -34,7 +34,7 @@ the index $i$ in $h_i$, $\alpha_1^i$ and $\alpha_2^i$ can be omitted. For the first step $t_1$, only the initial condition at $t_0$ is available. -Therefore backward-Euler is used, i.e., +Therefore backward Euler is used, i.e., \begin{equation}\label{eq:BE} \tfrac{1}{h_1}[q(x_1)-q(x_0)] + f(x_1) = b_1. \end{equation} @@ -118,7 +118,7 @@ J\! =\! \frac{\ud x_M}{\ud x_0} \begin{algorithm} \caption{The matrix-free\index{matrix-free} method for - Krylov subspace\index{Krylov subspace} construction.} + Krylov subspace\index{iterative method!Krylov subspace} construction.} \label{alg:mf_Gear} \KwIn{ current Krylov subspace basis vector $v$, time step lengths $h_i$,