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  2. Mathematical Contest in Modeling - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Contest_in...

    Problem B involves a system that requires the use of discrete mathematics. In 2016, a "data insights" problem was added, where teams are given access to database files and tasked with using them to answer a question. [3] This problem was designated as Problem C, though previously, Problem C referred to an ICM problem.

  3. Modeling and simulation - Wikipedia

    en.wikipedia.org/wiki/Modeling_and_simulation

    Modeling and simulation (M&S) is the use of models (e.g., physical, mathematical, behavioral, or logical representation of a system, entity, phenomenon, or process) as a basis for simulations to develop data utilized for managerial or technical decision making.

  4. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, [3] linguistics, [4] and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different ...

  5. Inverse problem - Wikipedia

    en.wikipedia.org/wiki/Inverse_problem

    Inverse problems are typically ill-posed, as opposed to the well-posed problems usually met in mathematical modeling. Of the three conditions for a well-posed problem suggested by Jacques Hadamard (existence, uniqueness, and stability of the solution or solutions) the condition of stability is most often violated.

  6. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible solution at all without regard to objective value. This can be regarded as the special case of mathematical optimization where the objective value is the same for every solution, and thus any solution is optimal.

  7. Combinatorial modelling - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_modelling

    Combinatorial modelling is the process which lets us identify a suitable mathematical model to reformulate a problem. These combinatorial models will provide, through the combinatorics theory, the operations needed to solve the problem.

  8. Multiscale modeling - Wikipedia

    en.wikipedia.org/wiki/Multiscale_modeling

    Multiscale modeling or multiscale mathematics is the field of solving problems that have important features ... efficient solution of multiscale modeling problems ...

  9. Model order reduction - Wikipedia

    en.wikipedia.org/wiki/Model_order_reduction

    Many modern mathematical models of real-life processes pose challenges when used in numerical simulations, due to complexity and large size (dimension). Model order reduction aims to lower the computational complexity of such problems, for example, in simulations of large-scale dynamical systems and control systems.