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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · The SciML Tutorials</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://docs.sciml.ai/SciMLTutorialsOutput/stable/search/"/><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><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="The SciML Tutorials logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">The SciML Tutorials</a></span></div><form class="docs-search" action><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="../">SciMLTutorials.jl: Tutorials for Scientific Machine Learning (SciML) and Equation Solvers</a></li><li><span class="tocitem">Ordinary Differential Equation (ODE) Examples</span><ul><li><a class="tocitem" href="../models/01-classical_physics/">Classical Physics Models</a></li><li><a class="tocitem" href="../models/02-conditional_dosing/">Conditional Dosing Pharmacometric Example</a></li><li><a class="tocitem" href="../models/03-kepler_problem/">Kepler Problem</a></li><li><a class="tocitem" href="../models/04-spiking_neural_systems/">Spiking Neural Systems</a></li><li><a class="tocitem" href="../models/05-outer_solar_system/">The Outer Solar System</a></li></ul></li><li><span class="tocitem">Special Analyses of ODEs</span><ul><li><a class="tocitem" href="../odes/01-ode_minmax/">Finding Maxima and Minima of Ordinary Differential Equation Solutions</a></li></ul></li><li><span class="tocitem">Mixing Julia Types with Differential Equations</span><ul><li><a class="tocitem" href="../type_handling/02-uncertainties/">Numbers with Uncertainties</a></li><li><a class="tocitem" href="../type_handling/03-unitful/">Unit Checked Arithmetic via Unitful.jl</a></li></ul></li><li><span class="tocitem">Inference and Parameter Estimation on ODEs</span><ul><li><a class="tocitem" href="../model_inference/01-pendulum_bayesian_inference/">Bayesian Inference on a Pendulum using DiffEqBayes.jl</a></li><li><a class="tocitem" href="../model_inference/02-monte_carlo_parameter_estim/">Monte Carlo Parameter Estimation From Data</a></li></ul></li><li><span class="tocitem">Analyzing Jump Process Equations</span><ul><li><a class="tocitem" href="../jumps/spatial/">Tutorial on using spatial SSAs in DiffEqJump</a></li></ul></li><li><span class="tocitem">Advanced ODE Examples</span><ul><li><a class="tocitem" href="../advanced/01-beeler_reuter/">An Implicit/Explicit CUDA-Accelerated Solver for the 2D Beeler-Reuter Model</a></li><li><a class="tocitem" href="../advanced/02-diffusion_implicit_heat_equation/">Solving the heat equation with diffusion-implicit time-stepping</a></li></ul></li><li><span class="tocitem">Uncertainty Quantification on ODEs</span><ul><li><a class="tocitem" href="../DiffEqUncertainty/01-expectation_introduction/">An Intro to Expectations via DiffEqUncertainty.jl</a></li><li><a class="tocitem" href="../DiffEqUncertainty/02-AD_and_optimization/">Optimization Under Uncertainty with DiffEqUncertainty.jl</a></li></ul></li><li><span class="tocitem">Symbolic-Numeric Approaches</span><ul><li><a class="tocitem" href="../perturbation/01-perturbation_algebraic/">Mixed Symbolic/Numerical Methods for Perturbation Theory - Algebraic Equations</a></li><li><a class="tocitem" href="../perturbation/02-perturbation_differential/">Mixed Symbolic/Numerical Methods for Perturbation Theory - Differential Equations</a></li></ul></li><li><span class="tocitem">Workshop Exercises</span><ul><li><a class="tocitem" href="../exercises/01-workshop_exercises/">SciML Workshop Exercises</a></li><li><a class="tocitem" href="../exercises/02-workshop_solutions/">SciML Workshop Exercise Solutions</a></li></ul></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>Search</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Search</a></li></ul></nav><div class="docs-right"><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><p id="documenter-search-info">Loading search...</p><ul id="documenter-search-results"></ul></article><nav class="docs-footer"><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 0.27.23 on <span class="colophon-date" title="Thursday 1 December 2022 08:52">Thursday 1 December 2022</span>. 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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · The SciML Tutorials</title><script data-outdated-warner src="../assets/warner.js"></script><link rel="canonical" href="https://docs.sciml.ai/SciMLTutorialsOutput/stable/search/"/><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><link href="../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.png" alt="The SciML Tutorials logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">The SciML Tutorials</a></span></div><form class="docs-search" action><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="../">SciMLTutorials.jl: Tutorials for Scientific Machine Learning (SciML) and Equation Solvers</a></li><li><span class="tocitem">Ordinary Differential Equation (ODE) Examples</span><ul><li><a class="tocitem" href="../odes/01-ode_minmax/">Finding Maxima and Minima of Ordinary Differential Equation Solutions</a></li></ul></li><li><span class="tocitem">Special Analyses of ODEs</span><ul><li><a class="tocitem" href="../type_handling/02-uncertainties/">Numbers with Uncertainties</a></li><li><a class="tocitem" href="../type_handling/03-unitful/">Unit Checked Arithmetic via Unitful.jl</a></li></ul></li><li><span class="tocitem">Mixing Julia Types with Differential Equations</span><ul><li><a class="tocitem" href="../models/01-classical_physics/">Classical Physics Models</a></li><li><a class="tocitem" href="../models/02-conditional_dosing/">Conditional Dosing Pharmacometric Example</a></li><li><a class="tocitem" href="../models/03-kepler_problem/">Kepler Problem</a></li><li><a class="tocitem" href="../models/04-spiking_neural_systems/">Spiking Neural Systems</a></li><li><a class="tocitem" href="../models/05-outer_solar_system/">The Outer Solar System</a></li></ul></li><li><span class="tocitem">Inference and Parameter Estimation on ODEs</span><ul><li><a class="tocitem" href="../model_inference/01-pendulum_bayesian_inference/">Bayesian Inference on a Pendulum using DiffEqBayes.jl</a></li><li><a class="tocitem" href="../model_inference/02-monte_carlo_parameter_estim/">Monte Carlo Parameter Estimation From Data</a></li></ul></li><li><span class="tocitem">Analyzing Jump Process Equations</span><ul><li><a class="tocitem" href="../exercises/01-workshop_exercises/">SciML Workshop Exercises</a></li><li><a class="tocitem" href="../exercises/02-workshop_solutions/">SciML Workshop Exercise Solutions</a></li></ul></li><li><span class="tocitem">Advanced ODE Examples</span><ul><li><a class="tocitem" href="../advanced/01-beeler_reuter/">An Implicit/Explicit CUDA-Accelerated Solver for the 2D Beeler-Reuter Model</a></li><li><a class="tocitem" href="../advanced/02-diffusion_implicit_heat_equation/">Solving the heat equation with diffusion-implicit time-stepping</a></li></ul></li><li><span class="tocitem">Uncertainty Quantification on ODEs</span><ul><li><a class="tocitem" href="../perturbation/01-perturbation_algebraic/">Mixed Symbolic/Numerical Methods for Perturbation Theory - Algebraic Equations</a></li><li><a class="tocitem" href="../perturbation/02-perturbation_differential/">Mixed Symbolic/Numerical Methods for Perturbation Theory - Differential Equations</a></li></ul></li><li><span class="tocitem">Symbolic-Numeric Approaches</span><ul><li><a class="tocitem" href="../jumps/spatial/">Tutorial on using spatial SSAs in DiffEqJump</a></li></ul></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>Search</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Search</a></li></ul></nav><div class="docs-right"><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><p id="documenter-search-info">Loading search...</p><ul id="documenter-search-results"></ul></article><nav class="docs-footer"><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 0.27.23 on <span class="colophon-date" title="Saturday 3 December 2022 00:55">Saturday 3 December 2022</span>. 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