I am pleased to announce the first release of DifferentialEquations.jl <https://github.com/ChrisRackauckas/DifferentialEquations.jl>.
An accompanying blog post explains the motivation and philosophy of the package in more detail. <http://www.stochasticlifestyle.com/introducing-differentialequations-jl/> DifferentialEquations.jl is a library of methods for solving various differential equations. DifferentialEquations.jl makes it easy to access many different methods for solving equations and plot the results. This v0.1 release marks that the core of DifferentialEquations.jl is complete, which includes: - The standard ODE, SDE, and PDE (Heat and Poisson) solvers <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/#implemented-solvers> . - Plot recipes for all the basic types. - Tests for convergence of every algorithm. - Extensive documentation <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/>and tutorials <https://github.com/ChrisRackauckas/DifferentialEquations.jl/tree/master/examples> . DifferentialEquations.jl also has many special features not seen in other differential equation libraries, which includes (but is not limited to): - A simple interface via multiple-dispatch (see the blog post <http://www.stochasticlifestyle.com/introducing-differentialequations-jl/> ). - Implementations of Feagin's Order 10, 12, and 14 Runge-Kutta methods <https://github.com/ChrisRackauckas/DifferentialEquations.jl/blob/master/examples/Feagin's%20Order%2010%2C%2012%2C%20and%2014%20methods.ipynb> . - Compatibility with Julia-defined number types <https://github.com/ChrisRackauckas/DifferentialEquations.jl/blob/master/examples/Solving%20Equations%20in%20With%20Julia-Defined%20Types.ipynb>. This has been tested to work with Bigs, DecFP, and ArbFloats, and is actively being tested with ArbReals and DoubleDouble. - Wrappers to ODE.jl and ODEInterface.jl <https://github.com/ChrisRackauckas/DifferentialEquations.jl/blob/master/examples/Calling%20External%20Solvers%20-%20ODEjl%20and%20ODEInterface.ipynb>, giving you instant access to tons of different solver methods just by changing the `alg` keyword. - State-of-the-art stochastic differential equation solvers <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/solvers/sde_solve/>. Implemented are results from recent papers, and many other algorithms (including fast adaptivity and highly-stable explicit methods) are waiting on a private branch until papers are published. - Finite element solvers for some common stochastic PDEs <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/tutorials/femstochastic_example/> including the Reaction-Diffusion equation used to describe Turing Morphogenesis <https://github.com/ChrisRackauckas/DifferentialEquations.jl/blob/master/examples/Solving%20the%20Gierer-Meinhardt%20Equations.ipynb> . - An algorithm design and testing suite <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/man/convergence/> . For more information, check out the documentation <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/>or the IJulia tutorial notebooks <https://github.com/ChrisRackauckas/DifferentialEquations.jl/tree/master/examples>. If you're interested in contributing, please see the Contributor's Guide <http://chrisrackauckas.github.io/DifferentialEquations.jl/latest/internals/contributors_guide/> and/or chat with me on the Gitter channel <https://gitter.im/ChrisRackauckas/DifferentialEquations.jl>.
