Author Archives: JuliaDiffEq

SDIRK Methods

By: JuliaDiffEq

Re-posted from: http://juliadiffeq.org/2017/08/13/SDIRK.html

This has been a very productive summer! Let me start by saying that a relative
newcomer to the JuliaDiffEq team, David Widmann, has been doing some impressive
work that has really expanded the internal capabilities of the ordinary and
delay differential equation solvers. Much of the code has been streamlined
due to his efforts which has helped increase our productivity, along with helping
us identify and solve potential areas of floating point inaccuracies. In addition,
in this release we are starting to roll out some of the results of the Google
Summer of Code projects. Together, there’s some really exciting stuff!

High Order Rosenbrock and Symplectic Methods

By: JuliaDiffEq

Re-posted from: http://juliadiffeq.org/2017/07/07/SymplecticRosenbrock.html

For awhile I have been saying that JuliaDiffEq really needs some fast high
accuracy stiff solvers and symplectic methods to take it to the next level.
I am happy to report that these features have arived, along with some other
exciting updates. And yes, they benchmark really well. With new Rosenbrock methods
specifically designed for stiff nonlinear parabolic PDE discretizations, SSPRK
enhancements specifically for hyperbolic PDEs, and symplectic methods for Hamiltonian
systems, physics can look at these release notes with glee. Here’s the full ecosystem
release notes.

Filling In The Interop Packages and Rosenbrock

By: JuliaDiffEq

Re-posted from: http://juliadiffeq.org/2017/05/18/Filling_in.html

In the 2.0 state of the ecosystem post
it was noted that, now that we have a clearly laid out and expansive common API,
the next goal is to fill it in. This set of releases tackles the lowest hanging
fruits in that battle. Specifically, the interop packages were setup to be as
complete in their interfaces as possible, and the existing methods which could
expand were expanded. Time for specifics.