I Like Julia Because It Scales and Is Productive: Some Insights From A Julia Developer


October 13 2017 in Julia, Programming | Tags: | Author: Christopher Rackauckas

In this post I would like to reflect a bit on Julia. These are my personal views and I have had more than a year developing a lot of packages for the Julia programming language. After roaming around many different languages including R, MATLAB, C, and Python; Julia is finally a language I am sticking to. In this post I would like to explain why. I want to go back through some thoughts about what the current state of the language is, who it's good for, and what changes I would like to see. My opinions changed a lot since first starting to work on Julia, so I'd just like to share the changed mindset one has after using the language deeply.

Quick Summary

Here's a quick summary of my views.

  1. Julia is not only a fast language, but what makes it ... READ MORE

A Comparison Between Differential Equation Solver Suites In MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran


Many times a scientist is choosing a programming language or a software for a specific purpose. For the field of scientific computing, the methods for solving differential equations are one of the important areas. What I would like to do is take the time to compare and contrast between the most popular offerings. This is a good way to reflect upon what's available and find out where there is room for improvement. I hope that by giving you the details for how each suite was put together (and the "why", as gathered from software publications) you can come to your own conclusion as to which suites are right for you.

(Full disclosure, I am the lead developer of DifferentialEquations.jl. You will see at the end that DifferentialEquations.jl does offer pretty much everything from the other suite combined, but that's no accident: ... READ MORE

Video Introduction to DifferentialEquations.jl


Videos can be much easier to follow than text (though they usually have fewer details!). So, here's a video introduction to DifferentialEquations.jl from JuliaCon. In this talk I walk through the major features of DifferentialEquations.jl by walking through the the tutorials in the documentation, highlighting usage details and explaining how to properly think about the code. I hope this helps make it easier to adopt DifferentialEquations.jl!

Type-Dispatch Design: Post Object-Oriented Programming for Julia


May 29 2017 in Julia, Programming | Tags: | Author: Christopher Rackauckas

In this post I am going to try to explain in detail the type-dispatch design which is used in Julian software architectures. It's modeled after the design of many different packages and Julia Base, and has been discussed in parts elsewhere. This is actually just a blog post translation from my "A Deep Introduction to Julia for Data Science and Scientific Computing" workshop notes. I think it's an important enough topic to share more broadly.

The tl;dr: Julia is built around types. Software architectures in Julia are built around good use of the type system. This makes it easy to build generic code which works over a large range of types and gets good performance. The result is high-performance code that has many features. In fact, with generic typing, your code may have more features than you know of! The ... READ MORE

Video Blog: Developing and Editing Julia Packages


May 16 2017 in Julia, Programming | Tags: , , , | Author: Christopher Rackauckas

Google Summer of Code is starting up, so I thought it would be a good time to share my workflow for developing my own Julia packages, as well as my workflow for contributing to other Julia packages. This does not assume familiarity with commandline Git, and instead shows you how to use a GUI (GitKraken) to make branches and PRs, as well as reviewing and merging code. You can think of it as an update to my old blog post on package development in Julia. However, this is not only updated but also improved since I am now able to walk through the "non-code" parts of package developing (such as setting up AppVeyor and code coverage).

Enjoy! (I quite like this video blog format: it was a lot less work)

DifferentialEquations.jl 2.0: State of the Ecosystem


In this blog post I want to summarize what we have accomplished with DifferentialEquations' 2.0 release and detail where we are going next. I want to put the design changes and development work into a larger context so that way everyone can better understand what has been achieved, and better understand how we are planning to tackle our next challenges.

If you find this project interesting and would like to support our work, please star our Github repository. Thanks!

Now let's get started.

DifferentialEquations.jl 1.0: The Core

Before we start talking about 2.0, let's understand first what 1.0 was all about. DifferentialEquations.jl 1.0 was about answering a single question: how can we put the wide array of differential equations into one simple and efficient interface. The result of this was the common interface explained in the first blog post. Essentially, we created ... READ MORE

Some Fun With Julia Types: Symbolic Expressions in the ODE Solver


In Julia, you can naturally write generic algorithms which work on any type which has specific "actions". For example, an "AbstractArray" is a type which has a specific set of functions implemented. This means that in any generically-written algorithm that wants an array, you can give it an AbstractArray and it will "just work". This kind of abstraction makes it easy to write a simple algorithm and then use that same exact code for other purposes. For example, distributed computing can be done by just passing in a DistributedArray, and the algorithm can be accomplished on the GPU by using a GPUArrays. Because Julia's functions will auto-specialize on the types you give it, Julia automatically makes efficient versions specifically for the types you pass in which, at compile-time, strips away the costs of the abstraction.

This means ... READ MORE

Building a Web App in Julia: DifferentialEquations.jl Online


January 17 2017 in Differential Equations, Julia, Mathematics | Tags: | Author: Christopher Rackauckas

Web apps are all the rage because of accessibility. However, there are usually problems with trying to modify some existing software to be a web app: specifically user interface and performance. In order for a web application to perform well, it must be able to have a clean user interface with a "smart" backend which can automatically accommodate to the user's needs, but also give back a nice looking response in under a second. This has typically limited the types of applications which can become responsive web applications.

Scientific software is one domain where user interface has been obstructive at best, and always in need of better performance. However, the programming language Julia has allowed us to build both an easy to use and highly performant ecosystem of numerical differential equation solvers over the last 8 months. Thus we had ... READ MORE

6 Months of DifferentialEquations.jl: Where We Are and Where We Are Going


So around 6 months ago, DifferentialEquations.jl was first registered. It was at first made to be a library which can solve "some" types of differential equations, and that "some" didn't even include ordinary differential equations. The focus was mostly fast algorithms for stochastic differential equations and partial differential equations.

Needless to say, Julia makes you too productive. Ambitions grew. By the first release announcement, much had already changed. Not only were there ordinary differential equation solvers, there were many. But the key difference was a change in focus. Instead of just looking to give a production-quality library of fast methods, a major goal of DifferentialEquations.jl became to unify the various existing packages of Julia to give one user-friendly interface.

Since that release announcement, we have made enormous progress. At this point, I believe we have both the most expansive and flexible ... READ MORE

Modular Algorithms for Scientific Computing in Julia


December 7 2016 in Julia, Programming | Tags: | Author: Christopher Rackauckas

When most people think of the Julia programming language, they usually think about its speed. Sure, Julia is fast, but what I emphasized in a previous blog post is that what makes Julia tick is not just-in-time compilation, rather it's specialization. In that post, I talked a lot about how multiple dispatch allows for Julia to automatically specialize functions on the types of the arguments. That micro-specialization is what allows Julia to compile functions which are as fast as those from C/Fortran.

However, there is a form of "macro specialization" that Julia's design philosophy and multiple dispatch allows one to build libraries for. It allows you to design an algorithm in a very generic form, essentially writing your full package with inputs saying "insert scientific computing package here", allowing users to specialize the entire overarching algorithm to the specific problem. ... READ MORE