tamaskis
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@@ -1,4 +1,4 @@
-# IVP Solver Toolbox [![View ODE Solver Toolbox on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/103975-ode-solver-toolbox)
+# IVP Solver Toolbox [![View IVP Solver Toolbox on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/103975-ivp-solver-toolbox)
 
 Collection of fixed-step IVP solvers, functions to generate IVP solver equations, and functions for transforming matrix IVPs to vector IVPs.
 
@@ -11,19 +11,19 @@ Collection of fixed-step IVP solvers, functions to generate IVP solver equations
 To open the home page of the toolbox documentation in MATLAB, type
 
 ```
-doc_IST
+doc_IVP
 ```
 
 in the Command Window. To open the documentation of a specific function with name `function_name` from the Command Window, type
 
 ```
-doc_IST function_name
+doc_IVP function_name
 ```
 
 To open the PDF file with the technical documentation (Solving_Initial_Value_Problems_for_ODEs.pdf) from the Command Window, type
 
 ```
-doc_IST tech
+doc_IVP tech
 ```
 
 ## Main IVP Solver Function
 
@@ -6,7 +6,7 @@
    <!--
 This HTML was auto-generated from MATLAB code.
 To make changes, update the MATLAB code and republish this document.
-      --><title>AB2</title><meta name="generator" content="MATLAB 9.11"><link rel="schema.DC" href="http://purl.org/dc/elements/1.1/"><meta name="DC.date" content="2022-06-06"><meta name="DC.source" content="AB2_doc.m"><style type="text/css">
+      --><title>AB2</title><meta name="generator" content="MATLAB 9.11"><link rel="schema.DC" href="http://purl.org/dc/elements/1.1/"><meta name="DC.date" content="2022-06-07"><meta name="DC.source" content="AB2_doc.m"><style type="text/css">
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 html { min-height:100%; margin-bottom:1px; }
@@ -67,8 +67,8 @@
 
 
 
-  </style></head><body><div class="content"><h1><tt>AB2</tt></h1><!--introduction--><p>Propagates the state vector forward one time step using the Adams-Bashforth 2nd-order method.</p><p><a href="index.html">Back to IVP Solver Toolbox Contents</a>.</p><!--/introduction--><h2>Contents</h2><div><ul><li><a href="#1">Syntax</a></li><li><a href="#2">Description</a></li><li><a href="#3">Input/Output Parameters</a></li><li><a href="#4">See also</a></li></ul></div><h2 id="1">Syntax</h2><pre class="language-matlab">F = AB2(f,t,F,h)
-</pre><h2 id="2">Description</h2><p><tt>F = AB2(f,t,y,h)</tt> updates the <img src="AB2_doc_eq03148538246847756930.png" alt="$\mathbf{F}$" style="width:8px;height:8px;"> matrix, <tt>F</tt>, for the next sample time, given the <img src="AB2_doc_eq03148538246847756930.png" alt="$\mathbf{F}$" style="width:8px;height:8px;"> matrix at time <tt>t</tt>, the function <tt>f(t,y)</tt> defining the ODE <img src="AB2_doc_eq13964145860186194730.png" alt="$\dot{\mathbf{y}}=\mathbf{f}(t,\mathbf{y})$" style="width:50px;height:11px;">, and the step size <tt>h</tt>.</p><h2 id="3">Input/Output Parameters</h2><p>
+  </style></head><body><div class="content"><h1><tt>AB2</tt></h1><!--introduction--><p>Propagates the state vector forward one time step using the Adams-Bashforth 2nd-order method.</p><p><a href="index.html">Back to IVP Solver Toolbox Contents</a>.</p><!--/introduction--><h2>Contents</h2><div><ul><li><a href="#1">Syntax</a></li><li><a href="#2">Description</a></li><li><a href="#3">Input/Output Parameters</a></li><li><a href="#4">Note</a></li><li><a href="#5">See also</a></li></ul></div><h2 id="1">Syntax</h2><pre class="language-matlab">F = AB2(f,t,F,h)
+</pre><h2 id="2">Description</h2><p><tt>F = AB2(f,t,y,h)</tt> updates the <img src="AB2_doc_eq03148538246847756930.png" alt="$\mathbf{F}$" style="width:8px;height:8px;"> matrix, <tt>F</tt>, for the next sample time, given the <img src="AB2_doc_eq03148538246847756930.png" alt="$\mathbf{F}$" style="width:8px;height:8px;"> matrix at the current time <tt>t</tt>, the function <tt>f(t,y)</tt> defining the ODE <img src="AB2_doc_eq11546780198861005830.png" alt="$d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$" style="width:71px;height:11px;">, and the step size <tt>h</tt>.</p><h2 id="3">Input/Output Parameters</h2><p>
   <table border=1>
       <tr>
           <td></td>
@@ -97,7 +97,7 @@
       <tr>
           <td style="text-align:center"><TT>F</TT></td>
           <td style="text-align:center"><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /></td>
-          <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>)for the current sample time</td>
+          <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>) for the current sample time</td>
           <td style="text-align:center">p×3<BR>double</td>
       </tr>
       <tr>
@@ -110,11 +110,11 @@
           <td rowspan="1" style="text-align:center"><b>Output</b></td>
           <td style="text-align:center"><TT>F</TT></td>
           <td style="text-align:center"><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /></td>
-          <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>)for the next sample time</td>
+          <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>) for the next sample time</td>
           <td style="text-align:center">p×3<BR>double</td>
       </tr>
   </table>
-</p><h2 id="4">See also</h2><p><a href="AB2_doc.html"><tt>AB2</tt></a> | <a href="AB3_doc.html"><tt>AB3</tt></a> | <a href="AB4_doc.html"><tt>AB4</tt></a> | <a href="AB5_doc.html"><tt>AB5</tt></a> | <a href="AB6_doc.html"><tt>AB6</tt></a> | <a href="AB7_doc.html"><tt>AB7</tt></a> | <a href="AB8_doc.html"><tt>AB8</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2021b</a><br></p></div><!--
+</p><h2 id="4">Note</h2><div><ul><li><img src="AB2_doc_eq06235627993914477729.png" alt="$p=$" style="width:17px;height:8px;"> dimension of the state vector (for the scalar case, <img src="AB2_doc_eq14406891124849479077.png" alt="$p=1$" style="width:25px;height:10px;">).</li></ul></div><h2 id="5">See also</h2><p><a href="AB3_doc.html"><tt>AB3</tt></a> | <a href="AB4_doc.html"><tt>AB4</tt></a> | <a href="AB5_doc.html"><tt>AB5</tt></a> | <a href="AB6_doc.html"><tt>AB6</tt></a> | <a href="AB7_doc.html"><tt>AB7</tt></a> | <a href="AB8_doc.html"><tt>AB8</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2021b</a><br></p></div><!--
 ##### SOURCE BEGIN #####
 %% |AB2|
 % Propagates the state vector forward one time step using the 
@@ -125,9 +125,9 @@
 %   F = AB2(f,t,F,h)
 %% Description
 % |F = AB2(f,t,y,h)| updates the $\mathbf{F}$ matrix, |F|, for the next 
-% sample time, given the $\mathbf{F}$ matrix at time |t|, the function 
-% |f(t,y)| defining the ODE $\dot{\mathbf{y}}=\mathbf{f}(t,\mathbf{y})$, 
-% and the step size |h|.
+% sample time, given the $\mathbf{F}$ matrix at the current time |t|, the 
+% function |f(t,y)| defining the ODE 
+% $d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$, and the step size |h|.
 %% Input/Output Parameters
 % <html>
 %   <table border=1>
@@ -158,7 +158,7 @@
 %       <tr>
 %           <td style="text-align:center"><TT>F</TT></td>
 %           <td style="text-align:center"><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /></td>
-%           <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>)for the current sample time</td>
+%           <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>) for the current sample time</td>
 %           <td style="text-align:center">p×3<BR>double</td>
 %       </tr>
 %       <tr>
@@ -171,13 +171,14 @@
 %           <td rowspan="1" style="text-align:center"><b>Output</b></td>
 %           <td style="text-align:center"><TT>F</TT></td>
 %           <td style="text-align:center"><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /></td>
-%           <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>)for the next sample time</td>
+%           <td><img src="https://latex.codecogs.com/svg.latex?\inline&space;\mathbf{F}" title="" /> matrix (see Section 3.5.2 of the <a href="https://tamaskis.github.io/documentation/Solving_Initial_Value_Problems_for_ODEs.pdf">technical documentation</a>) for the next sample time</td>
 %           <td style="text-align:center">p×3<BR>double</td>
 %       </tr>
 %   </table>
 % </html>
+%% Note
+% * $p=$ dimension of the state vector (for the scalar case, $p=1$).
 %% See also
-% <AB2_doc.html |AB2|> | 
 % <AB3_doc.html |AB3|> | 
 % <AB4_doc.html |AB4|> | 
 % <AB5_doc.html |AB5|> |