DigiMat unifies math and programming in a unique way. Creativity, motivation and industrial impact are key elements. The program spans all levels, from pre-school to top academic and professional.
The method is based on world-leading mathematics research at KTH and Chalmers, together with didactic research at Stockholm University. Computation is the leading principle and music and visual
art is part of the pedagogical concept.
By learning a few basic algorithms anyone can understand and carry out
advances programming and physics simulations. Get started!
We present the Digital Math framework as the foundation for modern
science based on constructive digital mathematical computation. The
computed result (coefficient vector, FEM function, plot, etc.) is a
mathematical theorem, and the mathematical Open Source code, here in
the FEniCS framework, and computation is the mathematical proof. We
can also derive additional constructive proofs from the FEniCS and FEM
formulation, such as stability.
Based on the Digital Math framework and the FEniCS realization, we
present our Direct FEM Simulation (DFS) methodology together with
predictions of the most advanced benchmarks available, unlocking the
grand challenge of turbulence and aerodynamics.
Digital Math represents digitalization of mathematics, society, industry and society in the form of automated and easily understandable computation of mathematical models in the Open Source FEniCS framework with world-leading performance and recognized at the highest level of science and industry together with an effective pedagogical concept with combined abstract theory and mathematical interactive programming in a cloud-HPC web-interface.
With our computational framework you can predict and understand the grand challenges of science and technology.
This site is the Digital Math research environment. Johan Jansson is
also leading the commercial Open Source
spin-off Icarus Digital Math,
supported by IVA, KTH Innovation, Vinnova, etc. Any commercial
activities will be denoted by "Icarus".
A. Logg, K.-A. Mardal, G. Wells, et. al., ``Automated solution
of differential equations by the finite element method'', Lecture
Notes in Computational Science and Engineering, 84 (2012),
pp. 1-736. (2 chapters in ``the FEniCS book'')
FEniCS - Automated solution of partial differential equations
ELISE - electrification of aviation
DigiMat - pervasive Digital Math education
Digital Math: Aero - predictive aerodynamics.
Digital Math: Human - predictive virtual medicine.
Digital Math: Heart - predictive heart simulation.
Digital Math: Swallow - predictive swallowing and food tech simulation.
ENABLE - EU H2020 Marie Curie project for prediction of advanced metal machining.
Secret of Flight - "No one understands how a plane flies - Sci. Am. 2020." But we do! Learn you too!
Commercialization of Digital Math - Open Science - Open Source
Johan Jansson - Docent and Associate Professor KTH and BCAM
Linda Barman - Lecturer KTH
Susanne Kjällander - Docent and Associate Professor Stockholm University
Sofia Frankenberg - Docent and Associate Professor Stockholm University
Claes Johnson - Prof. Em. KTH and Chalmers
Ridgway Scott - Prof. Em. University of Chicago
Tamara Dancheva - PhD student BCAM and KTH
Massimiliano Leoni - PhD student BCAM and KTH
Ezhilmathi Krishnasany - PhD student BCAM
Rahul Kumar - Post Doc BCAM
Mini Hariharan - Innovation Consultant MPWR Sweden
David Kamensky - Assistant Professor University of California San Diego
Alberto Paganini - Assistant Professor University of Leicester
Måns Andersson - Research Engineer KTH
Elin Johansson - Creative Director Icarus Digital Math
Ninja Agborn - Art Director Icarus Digital Math
Take our online courses!
Read more about our breakthrough predictive technology, take our courses, and meet our highly merited Team who are passionate about Digital Math.
Our Vinnova project ELISE spearheading electric aviation highlighted as a success, where we have developed a paradigm-shift in predictive aerodynamics simulation in collaboration with e.g. NASA (https://lnkd.in/gnBcU5Qp) for robust and efficient certification and design. Now the Swedish government is planning a specific focus in this direction!
Digital Math will exhibit at the World Expo 2020 in Dubai with Vinnova!
The exhibition will be showcasing the DigiMat online education project supported by Vinnova, with example applications of
predictive Real Flight Simulation of electric aircraft in the ELISE project:
DigiMat is mathematics education for the digital world from basic school level :
through top academic, professional level and teachers.
DigiMat is a unified program with varying depth and scope over all levels with computation as leading principle, where all mathematical objects are constructed by computation according to computer programs as mathematics expressed in symbolic form.
Try our prototypes and learn predictive Real Flight Simulation!
The report "Reproducibility and Replicability in Science" by the US
National Academies of Sciences, Engineering and Medicine is just out,
it's of key importance for our scientific work. Here's an article on
the report, and the report itself:
Lorena Barba is a prominent US scientist, driving forward several Open
Source initiatives such as NumFOCUS, and one of the authors of the
Here's a quote from the article:
Barba told Physics World. “What we are calling for is changing those
norms to give importance to the full set of digital objects that are
part of a scientific study and acknowledging that the scientific paper
is insufficient today in its methods section to include all of the
information needed for another researcher to confirm the results or
build from those results.”
What Lorena is saying is that if a scientific paper is not
reproducible, then it cannot really be considered a scientific
publication. Here's another article on this:
The Digital Math framework as the foundation for modern science based
on constructive digital mathematical computation, is a solution to the
crisis. The computed result (coefficient vector, FEM function, plot,
etc.) is a mathematical theorem, and the mathematical Open Source
code, here in the FEniCS framework, and computation is the
Based on the Digital Math framework and the Unicorn/FEniCS
realization, we present our Direct FEM Simulation (DFS) methodology
together with predictions of the most advanced benchmarks available,
unlocking the grand challenge of turbulence and aerodybamics.