new

[book_gpu.git] / BookGPU / Chapters / chapter16 / ef.tex

diff --git a/BookGPU/Chapters/chapter16/ef.tex b/BookGPU/Chapters/chapter16/ef.tex
index 400b46717b3f17477bda62f1395ebf9953336944..1cc747bac95516040c9d0f4b092524b7f2b0ceca 100644 (file)
--- a/BookGPU/Chapters/chapter16/ef.tex
+++ b/BookGPU/Chapters/chapter16/ef.tex
@@ -52,7 +52,7 @@ significant savings in simulation time.
 % One simple way to estimate $x((m+k)T)$ is to use the information at
 % $mT$ and $(m-1)T$, which leads to the forward-Euler method as
 To estimate $x((m+k)T)$,
 % One simple way to estimate $x((m+k)T)$ is to use the information at
 % $mT$ and $(m-1)T$, which leads to the forward-Euler method as
 To estimate $x((m+k)T)$,

-a forward Euler\index{forward Euler} style jumping relies only on $x(mT)$ and $x((m-1)T)$,
+a forward Euler\index{Euler!forward Euler} style jumping relies only on $x(mT)$ and $x((m-1)T)$,

 i.e.,
 \[
    x((m+k)T)
 i.e.,
 \[
    x((m+k)T)


@@ -61,7 +61,7 @@ i.e.,
 \]
 However, this approach is inefficient due to its restriction on
 envelope step $k$, since larger $k$ usually causes instability.
 \]
 However, this approach is inefficient due to its restriction on
 envelope step $k$, since larger $k$ usually causes instability.

-Instead, backward Euler\index{backward Euler} jumping,
+Instead, backward Euler\index{Euler!backward Euler} jumping,

 %and the equation becomes
 \[
   x((m+k)T)-x(mT) = k\left[x((m+k)T)-x((m+k-1)T)\right],
 %and the equation becomes
 \[
   x((m+k)T)-x(mT) = k\left[x((m+k)T)-x((m+k-1)T)\right],