We bridge your needs with our expertise throughout every phase of the project. Our support includes the followings steps:

  • Definition of the problem

  • Analysis of the real situation to be studied

  • Simplification of the real situation and creation of a real model

  • Translation of the real model into a mathematical model

  • Application of the appropriate toolboxes to the mathematical model and computation of a mathematical solution

  • Interpretation of the mathematical solution in the underlying real situation

  • Evaluation of the model’s performance: testing, sensitivity, robustness, and validation

  • Presentation of the results of the modeling process

  • Training encompassing model understanding, operation, and maintenance

Our Focus

Deterministic Modeling

Utilizes provided inputs to yield a well-determined result, ensuring that identical inputs consistently produce the same output, without any randomness. Example: Calculating the trajectory of a spacecraft to Mars, where the initial position and speed determine the precise path.

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Stochastic Modeling

Incorporates randomness, allowing for variability in outcomes even with the same initial conditions. Example: Predicting weather patterns, utilizing probabilities to determine the most likely outcomes based on current data and model simulations.

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Our Role

We leverage a systematic, analytic, and rigorous approach to tackle complex challenges, such as:

  • Understanding and Formulation

    We identify essential features and the main structure of real-world problems, properly translating them into mathematical models.

  • Creativity and Innovation

    Our solutions are marked by critical and independent thinking, addressing, for instance, elements like uncertainty and local conditions that traditional algorithms may not capture.

  • Algorithm Design and Optimization

    In partnership with programmers, we design algorithms for broader applicability and optimize them for enhanced efficiency, scalability, and robustness, by building on our deep mathematical understanding.

  • Communication and Collaboration

    We are adept at scientific reporting and efficient teaching and training, facilitating clear communication across disciplines, translating complex concepts for a broad audience, and ensuring effective collaboration.

How can we help you?

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