Fraunhofer Institute for Industrial Mathematics ITWM

About Us

Fraunhofer Institute for Industrial Mathematics ITWM briefly.

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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:

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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.

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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.

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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.



Press Release / 28.9.2020

Using Statistics and AI to Combat Billing Fraud in the Healthcare Sector

Billing fraud committed by contract physicians or outpatient nursing services has been the focus of investigations and media discussion in the healthcare sector for years. The Fraunhofer ITWM supports the efficient clarification with new methods.


Blog Post / Streuspanne / 19.8.2020

When Does the New Wave Begin?

Since the end of May, there has been speculation about when the second corona wave will arrive in Germany. Now it seems to be here. What makes a second wave? And what do the math and statistics say? Our statistics blog Streuspanne takes time for a small, sober look at the bare numbers. Afterwards, you'll be flashy-thinged. (only available in german)

Press Release / 27.7.2020

THREAD Doctoral Program Picks up Speed

International networks enrich the scientific exchange. Within the framework of the European Union's THREAD doctoral program, this is currently lived out twice at the Fraunhofer ITWM: In July, the institute welcomes THREAD doctoral student Denise Tumiotto, who will spend four weeks as a guest scientist in the field of "Mathematics for Vehicle Development".

In addition, the first network-wide training took place at the beginning of the month, which the 14 PhD students of the program from eight European countries completed together.


Interview Fraunhofer Magazine / 21.7.2020

»It´s about money and life«

The new release of the Fraunhofer magazine weiter.vorn is dealing with the topic resilience . After lockdown, anxiety and hope, a sense of new beginnings can be felt. How can we not only master crises, but grow from them? Our institute director Prof. Anita Schöbel reports in an interview on how mathematics can help with tough decisions in difficult times.


Press Release / 17.7.2020

Junior Researcher Establishes New Research Group for AI

Stefanie Schwaar won the BMBF's call for funding young female AI researchers. She will establish and head her own research group at our Institute from August 2020. Under the title »EP-KI: Decision Support for Business Management Processes with the Help of New AI Methods« they will work at the interface of business management and artificial intelligence (AI).


Interviews / 13.7.2020

Working With Disabilities at the ITWM

Diversity and inclusion are part of our corporate philosophy. We want people with disabilities to be able to contribute their talents and qualifications to us without restriction. The interests of employees with disabilities are particularly supported by the Representative for Severely Disabled Employees. Ria Grindel has been representing her colleagues in this position since 2018 – an interview:

Article / 3.7.2020

How We Welcome and Support Women’s Career

We offer our employees helpful support in reconciling family and career, including a day-care centre directly at the institute, a parent-child office in case of care shortages and flexible working hours. In addition to scientific excellence and development opportunities, these aspects also play a role in the proportion of women at the Institute. Our department of Financial Mathematics shines with a female share of 50 percent.


Research News / 1.7.2020

Cost-Effective Ways to Minimize Risks in the Supply Chain

The coronavirus pandemic has hit the economy hard. What lessons can be learned from this experience? And what’s the best way for companies to protect themselves against this kind of crisis in the future? Our new mathematical methods aim to calculate how the risks posed by supply shortages can be reduced significantly at very little extra cost.


Press Release / 9.3.2020

Deep Fakes zuverlässig enttarnen mit Mathematik [only available in German]


Interview / 9.6.2020

Maintain or Ease Corona Actions?

In an interview, our researchers use first screencasts to present the new tool EpideMSE for decision support in questions concerning the spread of the corona epidemic and the effectiveness of measures.


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:


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.

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.


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.

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.


Seminar / Kaiserslautern / 15.10.2020

Deep Learing Seminar Series

The Deep Learing seminar series of the department  »High Performance Computing« continues digitally.

15 October 2020:

Our guest speaker Dr. Ir. Christos Strydis (Erasmus University Medical Center, Department of Neuroscience, Rotterdam, The Netherlands) will talk about »The Spiking Neural Network & the Accelerators: A Polyamorous Affair«.

Online Workshop / 6.10.2020

Digitalisierung in der Trenntechnik

[only available in German]

Es gibt kaum Bereiche in Forschung, Technik und Wirtschaft, die sich nicht mit den Fragen Digitale Transformation, Künstliche Intelligenz, Digitaler Zwilling, Industrie 4.0 oder Internet of Things beschäftigen – auch für die Filtration und Separation sind diese Themen relevant: Mit unserem Industrieworkshop fördern wir den Gedanken- und Informationsaustausch zwischen Wissenschaft, anwendungsnaher Forschung und industrieller Praxis.

Seminar / Kaiserslautern / 8.10.2020

KL-Regelungstechnik Seminar Series

The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern and continues digitally:

On October 8, 2020, Prof. Dr. Stephan Trenn from the Faculty of Science and Engineering, University of Groningen, Netherlands, will be our guest speaker and speak on the topic of Synchronization via Funnel Coupling With Application for Decentralized Optimization.


Conference / online / 2020/10/13 – 2020/10/14

NAFEMS DACH Regional Conference 2020

The biennial conference offers an independent, comprehensive and cross-disciplinary range of information in the field of numerical simulation methods - a platform on which new techniques, tools and "best practices" are presented.

You can expect interesting plenary lectures, technical contributions from users of various software products, from software manufacturers and service providers as well as a virtual hardware and software exhibition.

Symposium / 19. – 20.11.2021

Human Modeling Symposium

The Human Modeling Symposium 2020 will take place as a hybrid event. Attendees can participate in the event on-site in Wiesbaden or online.
A highlight of the symposium will be the lecture by Dr.-Ing. Michael Roller from the devision »Mathematics for Vehicle Engineering«. The lecture deals with the Optimal Control of a Multibody Dynamics Based Digital Human Model for the Simulation of Dynamic Driving Maneuvers.

Digital Fair

Control Virtuell

After the cancellation of the May date, the CONTROL-Virtual will now start instead.

In digital showrooms, exhibitors present the trade fair highlights and product innovations for 2020 in a clear and compact way, which they will not be able to show live this year. 

We will be there with experts from our departments »Image Processing« and »Material Characterization and Testing« and provide information on automated view planning for complex surface inspection (Image Processing) and non-destructive testing with terahertz technology (Materials Characterization and Testing).


virtuelle Messe / 26. – 29.10.2020

Fraunhofer Solution Days

From October 26 - 29, 2020, the Fraunhofer-Gesellschaft is addressing four topics of high relevance to the innovative strength of Germany and Europe: Health. The Digital Economy. Systems and Mechanical Mngineering. Mobility.

The departments »Image Processing« and »Materials Characterization and Testing« of the Fraunhofer ITWM will present their tool for virtual image processing for inline surface inspection as well as their terahertz measurement technology for non-destructive testing. 



Fair / 23. – 25.02.2021


FILTECH is the largest and most important filtration event world-wide. This Exhibition is a must for all those concerned with designing, improving, purchasing, selling or researching filtration and separation equipment and services. We are on site with our departments »Flow and Material Simulation« and »Transport Processes« and will gladly provide you with information about our years of experience in the modelling and simulation of filtration, separation and purification processes.

You can find us in Hall 7, Stand L1.

Cancellations and Postponements

PaintExpo: Postponed to 2021.

ProgMatCon: Postponed to 2021.

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

InnoTrans: Postponed to 27 – 30 April 2021.

INDEX: Postponed to 7 – 10 September 2021.


Cancellations and Postponements

ISC High Performance: Postponed to 27 June – 1 July 2021.

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

JEC World: Postponed to 9 – 11 March 2021.

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

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

Applications of Semi-Infinite Optimization: Postponed to 20 – 21 May 2021.

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

Cancellations and Postponements

6. International Commercial Vehicle Technology Symposium: Postponed to 9 – 11 March 2021.

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

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

Workshop Mathematical Methods in Process Engineering: Postponed to 30 September – 1 October 2021


Fraunhofer Institute for Industrial Mathematics ITWM

Fraunhofer-Platz 1

67663 Kaiserslautern


Phone +49 631 31600-0

Fax +49 631 31600-1099