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-rw-r--r--source/know/concept/runge-kutta-method/index.md4
1 files changed, 3 insertions, 1 deletions
diff --git a/source/know/concept/runge-kutta-method/index.md b/source/know/concept/runge-kutta-method/index.md
index 4c3dacf..f0e54ba 100644
--- a/source/know/concept/runge-kutta-method/index.md
+++ b/source/know/concept/runge-kutta-method/index.md
@@ -88,12 +88,13 @@ since this is not a practical way to describe RKMs,
but it is helpful to understand how they work.
+
## Example derivation
For example, let us truncate at $$n = 3$$,
such that $$N_1 = 3$$, $$N_2 = 3$$ and $$N_3 = 1$$.
The following derivation is very general,
-except it requires all $$\alpha_j \neq 0$$.
+only requiring all $$\alpha_j \neq 0$$.
Renaming $$\omega_{mj}$$, we start from:
$$\begin{aligned}
@@ -177,6 +178,7 @@ there is an enormous freedom of choice here,
all leading to valid RKMs, although not necessarily good ones.
+
## General form
A more practical description goes as follows: