Fraunhofer Institute for Industrial Mathematics ITWM

About Us

Fraunhofer Institute for Industrial Mathematics ITWM briefly.

more info

With Mathematics Against Covid-19

Experts of the Fraunhofer ITWM contribute to overcome the Covid-19 pandemic in the form of various research projects. We support economy and society in coping with the Corona crisis with mathematical methods. On our landing page "Fraunhofer ITWM vs. Corona" we provide all news from the ITWM around the topic:

more info

Fields of Application

Thanks to the comprehensive methodological competence of the departments, our customers can be found in numerous industries. Two overarching top topics at the Institute are Machine Learning and Renewable Energies and Sustainability.

more info

High Performance Center

The High Performance Center Simulation- and Software- based Innovation strengthens the cooperation between enterprises, universities and research institutes in Kaiserslautern and extends consisting partnerships.

more info

Welcome to Fraunhofer ITWM!

We are one of the world's largest mathematical research institutes and our goal is to further develop mathematics as a key technology, give innovative impetus and implement it in practice together with industry partners. Methodologically, our research areas are based on modeling, simulation and optimization. Integral parts of our projects are consulting and implementation, support in the application of high-performance computer technology and providing tailor-made software solutions. We not only use simulation software, but also develop it ourselves, often in cooperation with leading software companies.
Nowadays, companies of all sizes use simulations on regular bases which gives them benefit in terms of product innovation and quality assurance. Our customers are mainly in the automotive, mechanical engineering, textile, computer industry and finance sectors.



Podcasts #WeKnowHow / 19.5.2020

»Fraunhofer heads against Corona«

In the new podcast series »Fraunhofer heads against Corona« Fraunhofer researchers report on their work and projects against the pandemic. Our institute director Anita Schöbel and our colleague Sascha Feth are involved and are among the interviewees. Of course with corona research and Mathematics.

»In order to better assess the overall situation in the corona crisis, we also need the boldness of applied mathematics.«


Blog Post / Streuspanne / 14.5.2020

Statistical Quality Control Rejects Conspiracy Theories

Recently, we looked at the extent to which incomplete infection figures in the Corona pandemic can be compared with warranty data for vehicle components. Today, we use statistical quality control to reject some conspiracy theories surrounding Covid-19:


Presse Release / 12.5.2020

Decision Support in the Corona Crisis

In order to support local decision makers (health authorities, hospitals and especially municipalities) in planning their actions, researchers of the Fraunhofer ITWM are working on the epidemiological modeling, simulation and decision support of Covid-19  within the framework of the Fraunhofer Society's Anti-Corona Program (project name EpiDeMSE).


Press Release / 12.5.2020

Recommended Wearing Time of Protection Masks

How long can you wear a protection mask? When will you have to change a soaked mask? Researchers of the Fraunhofer ITWM tackle these question using mathematical models and computer simulations. It is important to take into account not only the type of mask and the filter material, but also the physical stress level and personal features of the wearer.

Press Release FhG / 29.4.2020

Statement of the Non-University Research Organisations

Strategies to contain the Covid-19 pandemic based on mathematical analyses of the data situation

Scientists from the Fraunhofer-Gesellschaft, Helmholtz Association, Leibniz Association, Max Planck Society have compiled their results, written a joint analysis and presented possible coping strategies for the corona pandemic from the perspective of modelling. Our institute director Prof. Dr. Anita Schöbel, as representative of the Fraunhofer-Gesellschaft, co-authored the statement.


Press Release / 30.4.2020

Putting People into Pigeonholes Is Not an Option

– Yes, It Is, for the Prediction of Covid-19 Spread!

Researchers at the Fraunhofer ITWM are developing a prediction model for the spread of Covid-19 which, in contrast to classical models, is better able to detect "sudden changes in infection rates after actions have been taken". In addition, the researchers are simulating several spatially or age-separated groups in a network.


Press Release / 22.4.2020

Meltblown Productive

Simulations by the Fraunhofer ITWM make processes in the manufacture of nonwovens more efficient. For example, Fraunhofer's anti-corona program is optimizing the production of infection protection.

Blog Entry / Streuspanne / 28.4.2020

Update to the Dark Figure Blog Post

In the last post we presented a simple approach that can be used to statistically estimate the dark figure of corona infections. We originally developed the approach to explain at least a large part of the  very different mortality rates between Italy and Germany (and less to estimate the number of unreported cases as precisely as possible). At the same time, the approach has aroused great interest among many readers and colleagues. We have therefore decided to develop the approach further so that it can estimate the dark figure even better.

After a brief repetition, we present further opportunities for improvement in this article. Of course we keep the expectations high. You will find the new figures at the end of the article.


Interview / 17.4.2020

Interview with Anita Schöbel

Institute director Anita Schöbel talks in an interview about the developments regarding the corona crisis at the ITWM, new projects and the current work at the institute:


Press Release / 14.4.2020

Using Mathematics to Evaluate and Optimize Catalytic Filters

Catalysts are commonly used to reduce pollutants released in car exhaust. In order to manufacture catalytic filters with even higher efficiency, industry is increasingly relying on innovative mathematical models and machine learning. The Fraunhofer ITWM and its High Performance Center for Simulation and Software Based Innovation are involved in the BMBF joint project.


Blog Entry / Streuspanne / 3.4.2020

How Can Statistics Determine the Dark Figure of Corona Infections?

On 2 April Germany reported 73,000 corona infections and 867 deaths. Italy counts 100,000 infections and 12,000 deaths. Based on these figures, the case mortality rate in Italy is more than 10 times higher than in Germany. This difference is an expression of unknown dark figures.


Press Release / 2.4.2020

EU Doctoral Programme With Special Challenges

On April 1, 2020, Davide Manfredo should have started his doctoral studies at the Fraunhofer ITWM in Kaiserslautern. Instead of Kaiserslautern, Davide is now working from his parents’ home in Turin. Corona thwarted his travel plans, but not those of his career at the ITWM:

News / 19.3.2020

Coronavirus: the Fraunhofer-Gesellschaft’s response and action

The World Health Organization (WHO) has declared the outbreak of the novel coronavirus (SARS-CoV-2) to be “a public health emergency of international concern.” The current situation and the as-yet unpredictable trend for Germany as a whole present all of us with major challenges. The welfare of its employees is of utmost importance to the Fraunhofer-Gesellschaft, its institutes and research institutions, as is providing professional care and support, and protecting all of Fraunhofer’s business partners. 


Press Release / 16.3.2020

Terahertz Technology Supports Cultural Heritage

L'Ultima Cena Observed by High Frequency Electromagnetic Waves: The Fraunhofer ITWM now supports a new approach to restauration.


News / 18.2.2020

Video on MESHFREE: »Getting to the Points«

MESHFREE is our innovative software product for the grid-free simulation of physical processes. Steffen Hagmann from Porsche, one of the project partners, explains how they use the software in vehicle development. Our expert Isabel Michel and expert Jörg Kuhnert explain in which other areas MESHFREE is used.


News / 9.1.2020

Best Student Paper Award IVCNZ

Ricard Durall Lopez wins the IVCNZ Best Student Paper Award for his presentation »Semi Few-Shot Attribute Translation«.

Upcoming Events 2020

Due to the developments regarding the spread of the corona virus in Germany, our events and also the visits to the events are cancelled or postponed. We will inform you here as soon as the situation has changed.

Cancellations and Postponements

6. International Commercial Vehicle Technology Symposium: Postponed to 8 – 10 October 2020.

Digitalisierung in der Pflege: Postponed, new date not yet known.

Seminar Wärmefluss-Thermographie: Postponed, new date not yet known.

4. International Conference on Material and Component Performance under Variable Amplitude Loading: Cancelled, the organizer will provide the conference contributions in digital and printed form.



Cancellations and Postponements

INDEX 2020: Postponed to 20 – 23 October 2020.

HANNOVER MESSE 2020: Cancelled.

PaintExpo 2020: Postponed to 12 – 15 October 2020.

ProgMatCon 2020: Will probably be postponed.

34. Control: Cancelled.

Jahrestagung 2020 der DGZfP: Cancelled.

Tag der Mathematik: Cancelled.

20th International Conference on Non-Destructive Testing WCNDT: Postponed, new date not yet known.

Cancellations and Postponements

ISC High Performance 2020: Cancelled.

Seminar Data Analysis and Machine Learning: Postponed, new date not yet known.

JEC World: Cancelled.

Seminar Load Data – Analysis and Simulation: Postponed, new date not yet known.

5th Young Researchers Symposium 2020: Postponed to 2021, new date not yet known.

Applications of Semi-Infinite Optimization: Postponed to 12 – 13 November 2020.

Cancellations and Postponements

InnoTrans: Postponed to 27 – 30 April 2021.

Workshop Projection Methods in Feasibility, Superiorization and Optimization – Theory and Practice: Postponed to 2021, date not yet known.


Seminar / Kaiserslautern / 4.6.2020

Deep Learing Seminarreihe

From now on, the Deep Learing seminar series of the department  »High Performance Computing« continues digitally.

On June 04, 2020 Ricard Durall Lopez (Fraunhofer ITWM) will give a lecture on »Deep Fake: The Impact of Generative Models«.

Seminar / Kaiserslautern / 2020/06/05

KL-Regelungstechnik Seminarreihe

Starting in June, the seminar series KL-Regelungstechnik of the department »System Analysis, Prognosis and Control« will continue digitally.


On 05 June 2020 two speakers will present:

Dr. Wolfgang Bock (TU Kaiserslautern):
»Mitigation and Herd Immunity for COVID-19 is Likely to Fail«

Paulo Renato da Costa Mendes (Fraunhofer ITWM):
»Distributed Consensus Optimization becomes relaxed«


Seminar / Kaiserslautern / 2020/06/24 – 2020/06/25

Statistical Methods for the Verification of Component Reliability

Special statistical methods are required to verify the reliability of components in a statistically correct manner. In a two-day compact seminar, we provide you with the necessary knowledge to answer core questions with confidence.


Symposium / Kaiserslautern / 2020/09/08 – 2020/09/10

6th International Commercial Vehicle Technology Symposium

The 6th International Commercial Vehicle Technology Symposium addresses different aspects of commercial vehicle development and production.

With regard to energy and resource efficiency, the topic of innovative drives with alternative fuels will be focused on. Another challenge is safety, reliability and life expectancy, which is becoming more and more relevant as part of automation.


Conference / Hanau / 2020/09/29 – 2020/09/30

automotive CAE Grand Challenge

In the last 30 years computer simulation has become an indispensable tool of automotive development. Despite of significant progress in simulation technology and impressive results in industrial application there remains a number of challenges.


Workshop / Kaiserslautern / 2020/10/7 – 2020/10/8

Mathematical Methods in Process Engineering

Modeling, Simulation and Optimization

Every two years, internationally outstanding scientists from universities, research institutions and industry meet in Kaiserslautern to discuss the latest mathematical methods in process engineering.

Fraunhofer Institute for Industrial Mathematics ITWM

Fraunhofer-Platz 1

67663 Kaiserslautern


Phone +49 631 31600-0

Fax +49 631 31600-1099