Mathematics DifferentialEquations.jl Getting Started with Differential Equations in Julia Introduction Overview of DifferentialEquations.jl Common Solver Options (Solve Keyword Arguments) Solution Handling Plot Functions Integrator Interface Problem Interface Frequently Asked Questions Solver Compatibility Chart Tutorials Code Optimization for Differential Equations Solving large rigid equations Stochastic Differential Equations Random Ordinary Differential Equations Delay Differential Equations Differential Algebraic Equations Jump Diffusion Equations Boundary Value Problems Examples Basic Classical Physics Models Conditional Dosing in Pharmacometrics The Kepler Problem Simulating the Outer Solar System Finding Maxima and Minima of ODEs Solutions Advanced Spiking Neural Systems An Implicit/Explicit CUDA-Accelerated Solver for the 2D Beeler-Reuter Model Solving the heat equation with diffusion-implicit time-stepping Problem types Discrete Problems ODE Problems Non-autonomous Linear ODE / Lie Group Problems Dynamical, Hamiltonian and 2nd Order ODE Problems Split ODE Problems Steady State Problems BVP Problems SDE Problems SDAE Problems RODE Problems DDE Problems SDDE Problems DAE Problems Solver Algorithms Discrete Solvers ODE Solvers Non-autonomous Linear ODE / Lie Group ODE Solvers Dynamical, Hamiltonian, and 2nd Order ODE Solvers Split ODE Solvers Steady State Solvers BVP Solvers SDE Solvers SDAE Solvers RODE Solvers DDE Solvers SDDE Solvers DAE Solvers Solver Benchmarks Additional features Jacobians, Gradients, etc. DiffEq-Specific Array Types DiffEqOperators Noise Processes Specifying (Non)Linear Solvers and Preconditioners Event Handling and Callback Functions Callback Library Parallel Ensemble Simulations I/O: Saving and Loading Solution Data Reduced Compile Time, Optimizing Runtime, and Low Dependency Usage Progress Bar Integration Detailed Solver APIs Sundials.jl DASKR.jl Additional details Timestepping Method Descriptions Meshes.jl Vectors Geometries Primitives Polytopes Domains Sets Meshes Trajectories Predicates Algorithms Sampling Partition Discretization Tesselation Refinement Coarsening Simplification Intersection Clipping Clamping Merging Winding Sideof Orientation Neighbor search Bounding box Hulls Transforms Random Visualization Input/Output Tolerances Guidelines License Index Linear Algebra Complex and rational numbers