Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / numeric / odeint / doc / html / boost / numeric / odeint / adams_bashforth.html

diff --git a/libs/numeric/odeint/doc/html/boost/numeric/odeint/adams_bashforth.html b/libs/numeric/odeint/doc/html/boost/numeric/odeint/adams_bashforth.html
index e5868bd..446a6a7 100644 (file)
--- a/libs/numeric/odeint/doc/html/boost/numeric/odeint/adams_bashforth.html
+++ b/libs/numeric/odeint/doc/html/boost/numeric/odeint/adams_bashforth.html
@@ -56,50 +56,50 @@
   <span class="keyword">typedef</span> <span class="emphasis"><em><span class="identifier">unspecified</span></em></span>                                 <a name="boost.numeric.odeint.adams_bashforth.step_storage_type"></a><span class="identifier">step_storage_type</span><span class="special">;</span>        
 
   <span class="comment">// <a class="link" href="adams_bashforth.html#boost.numeric.odeint.adams_bashforthconstruct-copy-destruct">construct/copy/destruct</a></span>
-  <a class="link" href="adams_bashforth.html#idm45806990578064-bb"><span class="identifier">adams_bashforth</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
+  <a class="link" href="adams_bashforth.html#idm45853740457200-bb"><span class="identifier">adams_bashforth</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="adams_bashforth.html#idm45806990649328-bb">public member functions</a></span>
-  <span class="identifier">order_type</span> <a class="link" href="adams_bashforth.html#idm45806990648768-bb"><span class="identifier">order</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="comment">// <a class="link" href="adams_bashforth.html#idm45853740528464-bb">public member functions</a></span>
+  <span class="identifier">order_type</span> <a class="link" href="adams_bashforth.html#idm45853740527904-bb"><span class="identifier">order</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990645616-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740524752-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990637952-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740517088-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990632576-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740511712-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990623216-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740502352-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> 
                  <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990616592-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45806990612976-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45806990609824-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740495728-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45853740492112-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45853740488960-bb"><span class="identifier">step_storage</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> ExplicitStepper<span class="special">,</span> <span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990606960-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">ExplicitStepper</span><span class="special">,</span> <span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740486096-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">ExplicitStepper</span><span class="special">,</span> <span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> 
                     <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990597552-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990589232-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idm45806990587376-bb"><span class="identifier">is_initialized</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45806990584224-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
-  <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45806990581088-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740476688-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740468368-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idm45853740466512-bb"><span class="identifier">is_initialized</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45853740463360-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+  <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a class="link" href="adams_bashforth.html#idm45853740460224-bb"><span class="identifier">initializing_stepper</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
 
-  <span class="comment">// <a class="link" href="adams_bashforth.html#idm45806990574832-bb">private member functions</a></span>
+  <span class="comment">// <a class="link" href="adams_bashforth.html#idm45853740453968-bb">private member functions</a></span>
   <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45806990574256-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> 
+    <span class="keyword">void</span> <a class="link" href="adams_bashforth.html#idm45853740453392-bb"><span class="identifier">do_step_impl</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">,</span> 
                       <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
-  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idm45806990568000-bb"><span class="identifier">resize_impl</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
+  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="adams_bashforth.html#idm45853740447136-bb"><span class="identifier">resize_impl</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
 
   <span class="comment">// public data members</span>
   <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">size_t</span> <span class="identifier">steps</span><span class="special">;</span>
   <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">order_type</span> <span class="identifier">order_value</span><span class="special">;</span>
 <span class="special">}</span><span class="special">;</span></pre></div>
 <div class="refsect1">
-<a name="idm46278825654160"></a><h2>Description</h2>
+<a name="idm45221366229552"></a><h2>Description</h2>
 <p>The Adams-Bashforth method is a multi-step algorithm with configurable step number. The step number is specified as template parameter Steps and it then uses the result from the previous Steps steps. See also <a href="http://en.wikipedia.org/wiki/Linear_multistep_method" target="_top">en.wikipedia.org/wiki/Linear_multistep_method</a>. Currently, a maximum of Steps=8 is supported. The method is explicit and fulfills the Stepper concept. Step size control or continuous output are not provided.</p>
 <p>This class derives from algebra_base and inherits its interface via CRTP (current recurring template pattern). For more details see algebra_stepper_base.</p>
 <p>
 </p>
 <div class="refsect2">
-<a name="idm46278825651648"></a><h3>Template Parameters</h3>
+<a name="idm45221366227040"></a><h3>Template Parameters</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem">
 <pre class="literallayout"><span class="identifier">size_t</span> Steps</pre>
@@ -140,12 +140,12 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278825602448"></a><h3>
+<a name="idm45221366177840"></a><h3>
 <a name="boost.numeric.odeint.adams_bashforthconstruct-copy-destruct"></a><code class="computeroutput">adams_bashforth</code> 
         public
        construct/copy/destruct</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
-<pre class="literallayout"><a name="idm45806990578064-bb"></a><span class="identifier">adams_bashforth</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the <code class="computeroutput"><a class="link" href="adams_bashforth.html" title="Class template adams_bashforth">adams_bashforth</a></code> class. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
+<pre class="literallayout"><a name="idm45853740457200-bb"></a><span class="identifier">adams_bashforth</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">algebra_type</span> <span class="special">&amp;</span> algebra <span class="special">=</span> <span class="identifier">algebra_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre>Constructs the <code class="computeroutput"><a class="link" href="adams_bashforth.html" title="Class template adams_bashforth">adams_bashforth</a></code> class. This constructor can be used as a default constructor if the algebra has a default constructor. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -169,11 +169,11 @@
 </li></ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278825587360"></a><h3>
-<a name="idm45806990649328-bb"></a><code class="computeroutput">adams_bashforth</code> public member functions</h3>
+<a name="idm45221366162816"></a><h3>
+<a name="idm45853740528464-bb"></a><code class="computeroutput">adams_bashforth</code> public member functions</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem">
-<pre class="literallayout"><span class="identifier">order_type</span> <a name="idm45806990648768-bb"></a><span class="identifier">order</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the order of the algorithm, which is equal to the number of steps. <p>
+<pre class="literallayout"><span class="identifier">order_type</span> <a name="idm45853740527904-bb"></a><span class="identifier">order</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the order of the algorithm, which is equal to the number of steps. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -188,7 +188,7 @@
 </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990645616-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>This method performs one step. It transforms the result in-place. <p>
+  <span class="keyword">void</span> <a name="idm45853740524752-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>This method performs one step. It transforms the result in-place. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -226,10 +226,10 @@
 </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateInOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990637952-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be called with Boost.Range as StateInOut. </li>
+  <span class="keyword">void</span> <a name="idm45853740517088-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateInOut</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be called with Boost.Range as StateInOut. </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990632576-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853740511712-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> 
                <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>The method performs one step with the stepper passed by Stepper. The state of the ODE is updated out-of-place. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -272,10 +272,10 @@
 </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990623216-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853740502352-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> 
                <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Second version to solve the forwarding problem, can be called with Boost.Range as StateOut. </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45806990616592-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
+<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45853740495728-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre>Adjust the size of all temporaries in the stepper manually. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -298,7 +298,7 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a name="idm45806990612976-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
+<pre class="literallayout"><span class="keyword">const</span> <span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a name="idm45853740492112-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -312,7 +312,7 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a name="idm45806990609824-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
+<pre class="literallayout"><span class="identifier">step_storage_type</span> <span class="special">&amp;</span> <a name="idm45853740488960-bb"></a><span class="identifier">step_storage</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the storage of intermediate results. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -327,7 +327,7 @@
 </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> ExplicitStepper<span class="special">,</span> <span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990606960-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">ExplicitStepper</span> explicit_stepper<span class="special">,</span> <span class="identifier">System</span> system<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853740486096-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">ExplicitStepper</span> explicit_stepper<span class="special">,</span> <span class="identifier">System</span> system<span class="special">,</span> 
                   <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Initialized the stepper. Does Steps-1 steps with the explicit_stepper to fill the buffer. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
@@ -370,7 +370,7 @@
 </li>
 <li class="listitem">
 <pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990597552-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Initialized the stepper. Does Steps-1 steps with an internal instance of InitializingStepper to fill the buffer. <div class="note"><table border="0" summary="Note">
+  <span class="keyword">void</span> <a name="idm45853740476688-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&amp;</span> t<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre>Initialized the stepper. Does Steps-1 steps with an internal instance of InitializingStepper to fill the buffer. <div class="note"><table border="0" summary="Note">
 <tr>
 <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../../doc/src/images/note.png"></td>
 <th align="left">Note</th>
@@ -415,9 +415,9 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">void</span> <a name="idm45806990589232-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal buffer of the stepper. </li>
+<pre class="literallayout"><span class="keyword">void</span> <a name="idm45853740468368-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Resets the internal buffer of the stepper. </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">bool</span> <a name="idm45806990587376-bb"></a><span class="identifier">is_initialized</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns true if the stepper has been initialized. <p>
+<pre class="literallayout"><span class="keyword">bool</span> <a name="idm45853740466512-bb"></a><span class="identifier">is_initialized</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns true if the stepper has been initialized. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -431,7 +431,7 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a name="idm45806990584224-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
+<pre class="literallayout"><span class="keyword">const</span> <span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a name="idm45853740463360-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -445,7 +445,7 @@
 </table></div>
 </li>
 <li class="listitem">
-<pre class="literallayout"><span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a name="idm45806990581088-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
+<pre class="literallayout"><span class="identifier">initializing_stepper_type</span> <span class="special">&amp;</span> <a name="idm45853740460224-bb"></a><span class="identifier">initializing_stepper</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre>Returns the internal initializing stepper instance. <p>
 </p>
 <div class="variablelist"><table border="0" class="variablelist compact">
 <colgroup>
@@ -461,13 +461,13 @@
 </ol></div>
 </div>
 <div class="refsect2">
-<a name="idm46278825392064"></a><h3>
-<a name="idm45806990574832-bb"></a><code class="computeroutput">adams_bashforth</code> private member functions</h3>
+<a name="idm45221365967584"></a><h3>
+<a name="idm45853740453968-bb"></a><code class="computeroutput">adams_bashforth</code> private member functions</h3>
 <div class="orderedlist"><ol class="orderedlist" type="1">
 <li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">,</span> <span class="keyword">typename</span> StateIn<span class="special">,</span> <span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
-  <span class="keyword">void</span> <a name="idm45806990574256-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> 
+  <span class="keyword">void</span> <a name="idm45853740453392-bb"></a><span class="identifier">do_step_impl</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> in<span class="special">,</span> <span class="identifier">time_type</span> t<span class="special">,</span> 
                     <span class="identifier">StateOut</span> <span class="special">&amp;</span> out<span class="special">,</span> <span class="identifier">time_type</span> dt<span class="special">)</span><span class="special">;</span></pre></li>
-<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45806990568000-bb"></a><span class="identifier">resize_impl</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
+<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45853740447136-bb"></a><span class="identifier">resize_impl</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
 </ol></div>
 </div>
 </div>