From e4857d7abd64993c18986b7b5f7e3b0c14eb27e0 Mon Sep 17 00:00:00 2001
From: Tavian Barnes <tavianator@gmail.com>
Date: Wed, 6 Oct 2010 23:05:48 -0400
Subject: Clean up integrator comments.

---
 src/vZ/BS23.hpp | 20 +++++++++-----------
 1 file changed, 9 insertions(+), 11 deletions(-)

(limited to 'src/vZ/BS23.hpp')

diff --git a/src/vZ/BS23.hpp b/src/vZ/BS23.hpp
index 1092d81..f81cad1 100644
--- a/src/vZ/BS23.hpp
+++ b/src/vZ/BS23.hpp
@@ -23,20 +23,18 @@
 
 namespace vZ
 {
-  // Heun-Euler method
+  // Bogacki-Shampine method
   //
-  // Second-order with embedded first-order
+  // Third-order with embedded second-order
   // Its tableau is:
   //
-  //   0 |
-  //   1 | 1
-  //   --+---------
-  //     | 1/2  1/2
-  //     |  1    0
-  //
-  //    k1    = dt*f(y[n])
-  //    k2    = dt*f(y[n] + dt*k1)
-  // y[n + 1] = y[n] + 1/2*(k1 + k2)
+  //   0   |
+  //   1/2 | 1/2
+  //   3/4 | 0    3/4
+  //   1   | 2/9  1/3 4/9
+  //   ----+-----------------
+  //   b   | 2/9  1/3 4/9 0
+  //   b*  | 7/24 1/4 1/3 1/8
   template <typename Y>
   class GenericBS23Integrator : public GenericAdaptiveIntegrator<Y>
   {
-- 
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