build based on e912fc8

dev/.documenter-siteinfo.json

@@ -1 +1 @@
-{"documenter":{"julia_version":"1.7.3","generation_timestamp":"2025-03-01T11:11:46","documenter_version":"1.8.0"}}
+{"documenter":{"julia_version":"1.7.3","generation_timestamp":"2025-03-03T09:50:37","documenter_version":"1.8.0"}}

dev/background/introductoryResources/index.html

@@ -11,4 +11,4 @@
 & \qquad \qquad...\\
 & \qquad d_p=L(x_i...,d_p...,t)  \\
 & \qquad \qquad...\\
-\end{align*}\]</p><p>where <span>$n$</span> and <span>$m$</span> are the number of state variables and discrete variables of the system respectively. <span>$D=[d_1,d_2...,d_m]^T$</span> is the vector of the system discrete variables. <span>$v$</span> is the number of events and <span>$zc$</span> is an event condition, <span>$H$</span> and <span>$L$</span> are functions used in the effects of the event <span>$zc$</span>.</p><p>QSS methods were shown to have nice stability and error bound properties and they outperformed some classic solvers <a href="#refs1">[2]</a>.</p><h2 id="refs1"><a class="docs-heading-anchor" href="#refs1">References</a><a id="refs1-1"></a><a class="docs-heading-anchor-permalink" href="#refs1" title="Permalink"></a></h2><p>[1] Cellier, F. and Kofman, E. (2006). Continuous system. Springer, simulation.New York.</p><p>[2]  Kofman, E. (2009). Relative error control in quantization based integration. Latin American Applied Research, 39(no.3):pp.231–238.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../guide/userAPI/">« User API</a><a class="docs-footer-nextpage" href="../qss/">Quantized State System Methods »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Saturday 1 March 2025 11:11">Saturday 1 March 2025</span>. Using Julia version 1.7.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+\end{align*}\]</p><p>where <span>$n$</span> and <span>$m$</span> are the number of state variables and discrete variables of the system respectively. <span>$D=[d_1,d_2...,d_m]^T$</span> is the vector of the system discrete variables. <span>$v$</span> is the number of events and <span>$zc$</span> is an event condition, <span>$H$</span> and <span>$L$</span> are functions used in the effects of the event <span>$zc$</span>.</p><p>QSS methods were shown to have nice stability and error bound properties and they outperformed some classic solvers <a href="#refs1">[2]</a>.</p><h2 id="refs1"><a class="docs-heading-anchor" href="#refs1">References</a><a id="refs1-1"></a><a class="docs-heading-anchor-permalink" href="#refs1" title="Permalink"></a></h2><p>[1] Cellier, F. and Kofman, E. (2006). Continuous system. Springer, simulation.New York.</p><p>[2]  Kofman, E. (2009). Relative error control in quantization based integration. Latin American Applied Research, 39(no.3):pp.231–238.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../guide/userAPI/">« User API</a><a class="docs-footer-nextpage" href="../qss/">Quantized State System Methods »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Monday 3 March 2025 09:50">Monday 3 March 2025</span>. Using Julia version 1.7.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/background/mliqss/index.html

@@ -32,4 +32,4 @@
    \beta=-(h.I-h^2.A_{ij}/2).(I-h.A_{ij})^{-1}.(U_{ij}+h.\dot U_{ij})+\alpha \nonumber\\
    \gamma=(I-h.A_{ij})+(h.I-h^2.A_{ij}/2).(I-h.A_{ij})^{-1}.A_{ij} \nonumber\\
    Q_{ij}= \gamma^{-1}.\beta
-  \end{align}\]</p><p>where   <span>$\dot Q_{ij}=$</span> <span>$\begin{pmatrix}   \dot q_i \\    \dot q_j   \end{pmatrix}$</span> and <span>$\dot U_{ij}=$</span> <span>$\begin{pmatrix}   \dot u_{ij} \\    \dot u_{ji}   \end{pmatrix}$</span> </p><p>The value of <span>$h$</span> is computed analytically or via iterations as the maximum value that satisfies Eq.(5).</p><h2 id="refs3"><a class="docs-heading-anchor" href="#refs3">References</a><a id="refs3-1"></a><a class="docs-heading-anchor-permalink" href="#refs3" title="Permalink"></a></h2><p>[1]  F. Pietro, G. Migoni, and E. Kofman. Improving linearly implicit quantized state system methods. Simulation: Transactions of the Society for Modeling and Simulation International, vol.95(no.2):pp.127–144, 2019.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../liqss/">« Linearly Implicit Quantized State System Methods</a><a class="docs-footer-nextpage" href="../../examples/linearTimeInvariantSystem/">Linear Time Invariant »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Saturday 1 March 2025 11:11">Saturday 1 March 2025</span>. Using Julia version 1.7.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+  \end{align}\]</p><p>where   <span>$\dot Q_{ij}=$</span> <span>$\begin{pmatrix}   \dot q_i \\    \dot q_j   \end{pmatrix}$</span> and <span>$\dot U_{ij}=$</span> <span>$\begin{pmatrix}   \dot u_{ij} \\    \dot u_{ji}   \end{pmatrix}$</span> </p><p>The value of <span>$h$</span> is computed analytically or via iterations as the maximum value that satisfies Eq.(5).</p><h2 id="refs3"><a class="docs-heading-anchor" href="#refs3">References</a><a id="refs3-1"></a><a class="docs-heading-anchor-permalink" href="#refs3" title="Permalink"></a></h2><p>[1]  F. Pietro, G. Migoni, and E. Kofman. Improving linearly implicit quantized state system methods. Simulation: Transactions of the Society for Modeling and Simulation International, vol.95(no.2):pp.127–144, 2019.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../liqss/">« Linearly Implicit Quantized State System Methods</a><a class="docs-footer-nextpage" href="../../examples/linearTimeInvariantSystem/">Linear Time Invariant »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.8.0 on <span class="colophon-date" title="Monday 3 March 2025 09:50">Monday 3 March 2025</span>. Using Julia version 1.7.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>