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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Integral equations · IFSintegrals.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img class="docs-light-only" src="../assets/logo.png" alt="IFSintegrals.jl logo"/><img class="docs-dark-only" src="../assets/logo-dark.png" alt="IFSintegrals.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">IFSintegrals.jl</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../makeIFS/">Constructing fractals</a></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../quadrature/">Approximating integrals</a></li><li class="is-active"><a class="tocitem" href>Integral equations</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Integral equations</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Integral equations</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/AndrewGibbs/IFSintegrals/blob/master/docs/src/SIOs.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><article class="docstring"><header><a class="docstring-binding" id="IFSintegrals.SIO" href="#IFSintegrals.SIO"><code>IFSintegrals.SIO</code></a> — <span class="docstring-category">Type</span></header><section><div><p>SIO is the type for singular integral operators.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/AndrewGibbs/IFSintegrals/blob/80a77e5150ee6b022669014ebd200f78fe084ffe/src/SIOs.jl#L34-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="IFSintegrals.DiscreteSIO" href="#IFSintegrals.DiscreteSIO"><code>IFSintegrals.DiscreteSIO</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiscreteSIO(SIO::SIO; h_mesh::Real, h_quad::Real, h_quad_diag::Real)</code></pre><p>is the constructor for a discretisation of a singular integral operator, &#39;SIO&#39;. h<em>mesh is the meshwidth parameter for the discretisation of the underlying fractal h</em>quad denotes the discretisation parameter for the integrals in the stiffness matrix. h<em>quad</em>diag is the parameter used to compute the diagonal elements of the matrix</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/AndrewGibbs/IFSintegrals/blob/80a77e5150ee6b022669014ebd200f78fe084ffe/src/Galerkin_discretisation.jl#L1-L8">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../quadrature/">« Approximating integrals</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 17 August 2023 15:16">Thursday 17 August 2023</span>. Using Julia version 1.7.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Integral equations · IFSintegrals.jl</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img class="docs-light-only" src="../assets/logo.png" alt="IFSintegrals.jl logo"/><img class="docs-dark-only" src="../assets/logo-dark.png" alt="IFSintegrals.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">IFSintegrals.jl</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../makeIFS/">Constructing fractals</a></li><li><a class="tocitem" href="../plotting/">Plotting</a></li><li><a class="tocitem" href="../quadrature/">Approximating integrals</a></li><li class="is-active"><a class="tocitem" href>Integral equations</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Integral equations</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Integral equations</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/AndrewGibbs/IFSintegrals/blob/master/docs/src/SIOs.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><article class="docstring"><header><a class="docstring-binding" id="IFSintegrals.SIO" href="#IFSintegrals.SIO"><code>IFSintegrals.SIO</code></a> — <span class="docstring-category">Type</span></header><section><div><p>SIO is the type for singular integral operators.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/AndrewGibbs/IFSintegrals/blob/5fb04dc2e7a789c6489b3f740cbf8ae5d00ba629/src/SIOs.jl#L34-L36">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="IFSintegrals.DiscreteSIO" href="#IFSintegrals.DiscreteSIO"><code>IFSintegrals.DiscreteSIO</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">DiscreteSIO(SIO::SIO; h_mesh::Real, h_quad::Real, h_quad_diag::Real)</code></pre><p>is the constructor for a discretisation of a singular integral operator, &#39;SIO&#39;. h<em>mesh is the meshwidth parameter for the discretisation of the underlying fractal h</em>quad denotes the discretisation parameter for the integrals in the stiffness matrix. h<em>quad</em>diag is the parameter used to compute the diagonal elements of the matrix</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/AndrewGibbs/IFSintegrals/blob/5fb04dc2e7a789c6489b3f740cbf8ae5d00ba629/src/Galerkin_discretisation.jl#L1-L8">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../quadrature/">« Approximating integrals</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Thursday 17 August 2023 15:17">Thursday 17 August 2023</span>. Using Julia version 1.7.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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