With a team of experts in applied mathematics and computational science, we excel in implementing advanced numerical methods for accurate and efficient computational modeling and analysis. From solving complex differential equations to optimizing intricate systems, our expertise in simulation technology and scientific software development provides effective decision support, typically in the form of advanced and reliable software solutions.
Mathematical modelling plays a pivotal role in advancing our understanding and capabilities across diverse scientific disciplines. In computational mechanics, intricate systems can be accurately simulated and analysed through mathematical representations, aiding in predicting structural behaviour, stress distribution, and material responses. Fluid dynamics leverages mathematical models to unravel the complexities of fluid flow, enabling the design of efficient aerodynamics, weather prediction, and environmental studies. Similarly, in electrochemistry, mathematical models facilitate the comprehension of complex electrochemical reactions, ion transport, and electrode dynamics, offering insights into battery performance, corrosion processes, and electroplating.
Flow through porous media constitutes a fundamental approach for unravelling the intricate behaviours of fluids in complex structures characterized by interconnected voids and solid matrices. By utilizing partial differential equations and transport equations, this modelling enables us to capture the diverse factors that influence fluid flow, including porosity, permeability, and pressure gradients. Such models find applications in diverse fields, from predicting groundwater movement in hydrogeology or geo-energy applications to optimizing filtration processes in chemical engineering.
Much of our work involves automated decision-making of one form or the other, often, but not necessarily, with “humans in the loop.” Successful use of optimization and control to make decisions requires a correct understanding of the application and the intended usage, but also a deep understanding of the algorithmic principles and computational challenges involved.
As experts within operations research, we develop tailor-made optimization algorithms for practical problems faced in real life today. Practical examples include vehicle routing (say, for home delivery services), train timetabling and sports league scheduling. We are focused on applying the best method for the challenge at hand, using exact combinatorial optimization, metaheuristic methods or state-of-the-art continuous optimization to solve problems.
In the area of control theory, we develop state-of-the art systems that can, for example, control drones or support robotic systems. Our expertise includes reliable automation for real-time systems, real-time control and communication, sensor fusion, motion planning and much more.
In all these fields, mathematical modelling not only deepens our insight into the underlying phenomena but also serves as a powerful tool for designing optimized solutions and predicting outcomes with precision.
