Software Development Page (... always
under construction ...)
Project: ReSSy (Regularity Structures Symbolic
Computation Package)
Description: Symbolic manipulation package for dealing with
regularity structures as introduced by M. Hairer in 2013/2014. Regularity
structures are extremely useful when dealing with stochastic partial
differential equations (SPDEs), in particular for defining suitable
renormalized limits as solutions. However, many practical computations
employing regularity structures can become incredibly cumbersome,
even for relatively simple looking SPDEs. Hence, a symbolic manipulation
software is called for. Due to the newly added layers of complexity
and completely new formalism in the theory of regularity structures,
it does not seem wise to force the calculations into a preexisting
symbolic package. Instead, the route pursued here is to glue existing
algorithms to newly developed classes that can manipulate regularity
structures as well as several associated objects. 

Language: Python 

Development: IMPORTANT  If you have a calculation
that you want to do using regularity structures, then I am happy to
try to code this calculation and extend the ReSSy package accordingly.
The idea is that you send me a benchmark calculation that is checkable
'by hand'. Then you send me the calculation that you want to do which
is a lot more cumbersome and I am going to extend ReSSy so that it
can accomplish this job. 

Current Release: v0.1 [please email me to obtain a copy] 
Project: DyGluS (Dynamics Gluing Scripts)
Description: Dynamical
systems algorithms such as numerical continuation algorithms are a
widespread tool in mathematics, engineering and almost all quantitative
science applications. Several excellent software tools already exist;
for example for continuation algorithms see AUTO, MatCont, COCO,
pde2path, etc. However, the connection to cuttingedge numerical
discretization codes and between different packages is still difficult,
particularly for PDEs. Similar remarks apply for many other recent and
emerging areas in dynamics systems. One goal of this project is to
provide basic scripts to demonstrate how to glue codes for certain
dynamics problems, e.g., using various PDE codes in tandem with
numerical continuation and dynamics packages. The task is to develop
for each project a set of scripts, which can be adapted to the need of
each user; in particular, there is no aim for a comprehensive doitall
tool but to build up a set of solutions, projectbyproject. The time
seems ripe to harness existing tools a lot more by gluing different
packages within suitable highlevel scientific computing languages. 

Language: Python, Octave/MatLab, etc.


Development: ONGOING, released bitbybit


Current Release: v0.0 [still in base development]
* 201807: Very basic Python scripts for 1D PDE integration
* 201811: Basic Python script to integrate a 1D stochastic neural field


