GAMM Activity Groups

Refoundation 2018 + Evaluation 2026

Many mathematical models in the natural and engineering sciences can be described in terms of operators on (possibly) infinite-dimesional spaces. This provides access to structural analysis of the underlying problems. The Activity group Applied Operator Theory promotes communication and cooperation between scientists working in theory and application of operator-theoretical methods. The focus lies on the further development of the techniques and on their efficient implementation in concrete applications, for example in time-dependent partial differential equations, in mathematical systems theory, as well as in approximation methods and the long-term behaviour of solutions to partial and stochastic differential equations.

Refoundation 2023 + Evaluation 2028

The interdisciplinary working group “Dynamics and Control Theory” brings together members from various fields, spanning from mathematical systems theory, control engineering, nonlinear dynamics and vibration theory to multi-body dynamics. The focus is on methodical developments and the application of the methods to a wide range of applications such as mechatronics, energy technology, robotics, autonomous driving, or aerospace engineering. The exchange about the different subject areas leads to exciting discussions and allows for new research impulses. It enables the formation of new bridges between applied mathematics, mechanics, and engineering sciences.
The connecting element is the interest in a mathematically sound analysis of dynamical systems and their control. In addition to more classical questions, the analysis, synthesis, and control of dynamical systems via communication networks, the consideration of interconnected cyber-physical systems and the fusion of traditional control and analysis approaches with methods from machine learning and artificial intelligence techniques play an increasing role in the discussions.
The committee’s goals are, in particular, to strengthen interdisciplinary cooperation between mathematics and engineering and to promote young scientists. To this end, the committee organizes half-yearly workshops in which professors, doctoral candidates, students, and participants from industry take part. These workshops allow us to discuss current research results, respond to trends and new developments, and initiate and advance joint scientific cooperations.

Refoundation 2014 + Evaluation 2022 + Termination 2025

The expert committee “Analysis of Microstructures” promotes the mathematical modelling of micromechanical phenomena as well as their analysis and numerical simulation. The interaction of mechanisms on different scales requires the cooperation of researchers in the adjacent disciplines of engineering, natural sciences and mathematics, since many questions of modelling are not clarified, and the potentials of modern mathematical methods – such as the homogenisation and relaxation – have not been adequately applied yet.
The communication, further development and streamlining of these methods is fostered in the expert committee by research planning and seminars, conferences and lectures. Our annual meeting usually takes place at the end of January, but there are also numerous other activities of the expert committee.

Refoundation 2018 + Evaluation 2026

The activity group “Optimization with Partial Differential Equations” organizes the interdisciplinary collaboration of mathematicians, engineers and scientists from all fields related to Optimization with PDE constraints. It supports the development of new theories, methods and algorithms as well as application-oriented research on topics related to engineering, science and economics. Recent focus includes the treatment of non-smooth problems including, e.g, control of variational inequalities.

Refoundation 2023 + Evaluation 2028

The term CSE refers in a comprehensive sense to the simulation sciences, in which modelling, numerical approximations, algorithms and software are closely interlinked. This is only possible through a novel, integrating linkage of knowledge between the disciplines and demands new structures in research and teaching. In this context, the image of a “third pillar” of science is often used, which takes on equal footing with theory and experiment and increasingly gains the character of an independent fundamental discipline. The discipline CSE is developing worldwide with great dynamism, which attracts especially many young scientists. The application fields in which CSE methodology is used are diverse. They range from industry-relevant engineering research to science-oriented basic areas. Many of the emerging fields, such as Biomedical Engineering, Data Driven Computing, Water Sustainability, and CO2 Sequestration and Advanced New Materials, are unthinkable without CSE.
In the spectrum of GAMM, the field of computational mechanics has a long tradition, in addition, mathematical modelling, numeric and scientific computing are other core areas of GAMM. These disciplines provide basics of the modern CSE field. CSE requires the cross-disciplinary collaboration of, for example, mathematicians, engineers, materials scientists, physicians, physicists, and computer scientists.
In the spectrum of GAMM, the field of computational mechanics has a long tradition, in addition, mathematical modelling, numeric and scientific computing are other core areas of GAMM. These disciplines provide basics of the modern CSE field. CSE requires the cross-disciplinary collaboration of, for example, mathematicians, engineers, materials scientists, physicians, physicists, and computer scientists.
We are pleased to receive feedback from as many GAMM members as possible who are interested in active participation.

Refoundation 2023 + Evaluation 2028

The research goals of our activity group encompasses all areas related to the broad research field of mathematical signal and image processing. This includes the application of, for instance, applied harmonic analysis and frame theory, compressed sensing, geometric and topological techniques, mathematical morphology, partial differential equations, probabilistic and statistical methodologies, and variational methods, in the exemplary areas of signal and image acquisition, signal and image processing, pattern recognition, and machine learning.
Our activity group aims to foster communication and collaboration of all researchers or groups interested in mathematical signal- and image processing. One particular goal is to encourage close interactions and collaborations between mathematicians, computer scientists, and engineers working in the exciting and highly interdisciplinary research areas our activity group focusses on. For our members, we provide a newsletter as well as job openings in the area of mathematical signal and image processing. Besides an annual meeting of our group, our members organize various sections at the main international conferences as well as at the annual GAMM conferences. We also hold close relations to other international groups with a similar research focus.

Refoundation 2023 + Evaluation 2028

The Activity Group Uncertainty on Quantification (AGUQ) fosters collaboration and interaction among mathematicians, engineers and scientists in those areas related to uncertainty quantification (UQ). Promoting UQ as an academic discipline and exploring the connections between UQ and other sciences constitute the main goals of the AGUQ. The members of AGUQ jointly work on advancing theories, methodologies, algorithms and application-driven research in the area of UQ.

Refoundation 2013 + Evaluation 2021 + Termination 2024

Applied and Numerical Linear Algebra is a key technology in numerous applications throughout science and engineering. Our activity group aims at fostering national and international as well as interdisciplinary collaborations in this context through the organisation of scientific conferences and an annual workshop. As of August 2020, the group has more than 90 members, and maintains close links with the SIAM Activity Group on Applied Linear Algebra and the International Linear Algebra Society (ILAS).
The activity group maintains a web page (https://gammanla.wordpress.com/)  and a Twitter account (https://twitter.com/gamm_anla).

Foundation 2013 + Evaluation 2021 + Termination 2024

The Committee Phase-Field Modelling is an interdisciplinary composition of researchers from the fields of mathematics, materials science and mechanics. The thematic spectrum includes formulations for solidification processes and general phase transformations, as well as modelling approaches in areas such as fracture mechanics, wetting and topology optimisation, including their numerical implementation.
Once a year, there is a workshop of the expert committee, where research lectures are held and joint activities are planned and discussed. The expert committee is regularly involved in national and international activities, including the organisation of mini-symposia at international conferences, international workshops, and special issues in specialist journals.

Foundation 2013 + Evaluation 2021 + Termination 2024

Partial differential equations (PDEs) play a fundamental role in the formulation of mathematical models in the sciences. New progress in modeling usually opens up interesting questions and can give rise to novel classes of PDEs. A rigorous understanding is essential for the qualitative evaluation of the models as well as for solving concrete problems in applications; in particular, it serves a basis for the development of efficient and reliable numerical methods.
This activity group was founded in March 2013 on the GAMM annual meeting in Novi Sad and has currently around 60 members, who combine strong expertise in a variety of areas, such as fluid dynamics, variational methods, (stochastic) homogenization, evolutionary problems, gradient flows, conservation laws, elasticity theory, asymptotic analysis, …
Our mission is to foster, strenghten and coordinate the cooperation of mathematicians working in the broad field of analysis of PDEs. New members are welcome at any time.

Foundation 2016 + Evaluation 2024

The GAMM AG DATA covers the research activities of GAMM members in the field of data-based modeling and simulation of multi-scale materials. The working group also deals with the handling and application of large data sets that are obtained experimentally, numerically or with hybrid methods. The direct use of such data sets for modeling and simulation is numerically non-trivial. Therefore, innovative machine learning and artificial intelligence methods are increasingly being used to process such kind of data. The interdependencies of physical constraints or the consideration of thermodynamic and mechanical consistency conditions in surrogate models represents core research questions. Also within the scope of the AG are efficient simulations with model reduction methods and innovative equation solvers, e.g. based on FFT, are important components for the targeted in silico data collection and data expansion (data augementation).
The core activity of GAMM AG DATA is the regular meeting of the AG, which takes place at least once a year. In 2020, as a result of the COVID-19 pandemic, the meeting scheduled for May will be rescheduled as digital event in early autumn. Details will be announced shortly. In the future, virtual and hybrid events should improve the reach of the AG Data.

Foundation 2017 + Evaluation 2025

We are interested in the mathematical analysis, development and implementation of models and numerical methods for the description of matter on atomic scales, with a special focus on traditional aspects of applied mathematics: modeling, development of an analytical foundation (e.g. well-behavior; stability), convergence of discretizations, algorithmic details, complexity, and efficient implementation. We are interested in models based on quantum mechanical, classical, and stochastic/statistical theories, as well as in data-driven inverse problems, such as those encountered in the decoding of the atomic structure of proteins and materials using Roentgen or Cryo-EM images. In addition to the traditional mathematical aspects, we are also interested in networking with
practitioners, so that our methods will be applied. A look at the computing times depending on the discipline at the computing centres impressively shows the relevance of simulations on an atomic scale. Molecular systems are a source of fascinating mathematical challenges. These include the erro analysis of different discretization methods as compared to their computational cost, the convergence behaviour of algorithms, and the development of efficient approximations for high-dimensional problems in electronic structure simulations or in molecular dynamics. Our field of work has developed rapidly over the last decades in physics, chemistry, material sciences, molecular biology, but is still comparatively little established in the world of applied mathematics – compared to other fields of application. For this reason, we are particularly committed to young researchers in the field of molecular systems and would like to offer them a forum in which they can present and discuss mathematical aspects of their work.

Foundation 2017 + Evaluation 2025

The objectives of the GAMM Expert Committee Experimental Solid Mechanics are to promote communication and exchange within and outside of German mechanics on topics such as experimental methods and their evaluation for modelling, calibration and validation of material properties of solid bodies. This includes discussions about classical and modern experimental methods, especially modern evaluation methods such as image correlation methods and their analysis, m-CT data, etc. and the new resulting possibilities. Further aspects touch the identification of material parameters and statements about their quality. Increasingly, this also involves the investigation of the possibilities of storing, providing and further processing of experimental information to third parties.

Foundation 2017 + Evaluation 2025

The activity group represents numerical analysis as a core discipline of applied mathematics with strong connections to engineering and the sciences. Computational partial differential equations are at the center of interest, complemented by concepts of adaptivity and multiscale methods, computational and data-driven modeling, high-dimensional problems and uncertainty quantification. Based on the deep integration of algorithm design and mathematical methods in numerical analysis, the activity group promotes the reliable and efficient computer simulation as a key technology for the scientific and industrial progress.

Foundation 2018 + Evaluation 2026

Foundation 2019 + Evaluation 2024

The 21th century is coined the age of data science, with data being even considered the new currency. The goal of our activity group is to provide a platform for researchers interested in or working on computational and mathematical concepts of data science. Within mathematics, various areas are crucial to derive a better understanding of data science methodologies, such as
applied analysis, approximation theory, discrete mathematics, (discrete) and large-scale optimization, functional analysis, high performance computing, machine learning, numerical analysis of PDEs statistics, numerical linear algebra, topology, and uncertainty quantification. The range of applications is similarly broad, covering numerous areas in public life and sciences, for example, factory planning, machining, materials science, mechanics, process systems design, or production engineering. The activity group was founded in March of 2019 and has close to 200 members from various countries. Among connecting the many researchers interested in this topic, we focus on supporting young scientists and encouraging interdisciplinary collaborations. The group is organizing an annual workshop and is heavily involved in running meetings on the topic across the globe.

Foundation 2021 + Evaluation 2026

The activity group “Modern Teaching and Didactics in Mathematics and Mechanics” has been facing the growing challenge of a steadily increasing heterogeneity of students with respect to their prior knowledge, intrinsic self-motivation, individual learning speeds, etc. Elementary reasons for this are, among others, that in the courses often no specific learning objectives are mentioned and the importance of the course content for the later profession is not explicitly addressed. Sometimes the learning objectives also have a rather small intersection with current and future-oriented professional requirements. The present didactic methods – or partly the lack of them – inhibit the motivation of many students to such an extent that it is not possible for them to acquire urgently needed competences.
The goal of our activity group is therefore the joint redesign of university education in the fields of mathematics and mechanics on the basis of sound and modern didactic concepts. This encompasses many facets and includes aspects ranging from learning theories to flipped classroom concepts and competence-oriented examination formats. One focus is also on adapting teaching to current and strongly digitization-oriented needs – both in (pure) application and in research and development. Another important aspect is the orientation towards “Open Educational Resources”, or OER for short, i.e. jointly developed learning and teaching materials that can be used across the board at different locations, adapted to the respective desired training levels.