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  2. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    A mathematical model is an ... Application of mathematics in social sciences outside of economics has been criticized for unfounded models. [5] Application of ...

  3. Modeling and simulation - Wikipedia

    en.wikipedia.org/wiki/Modeling_and_simulation

    In the computer application of modeling and simulation a computer is used to build a mathematical model which contains key parameters of the physical model. The mathematical model represents the physical model in virtual form, and conditions are applied that set up the experiment of interest.

  4. Mathematical economics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_economics

    Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.

  5. Computer simulation - Wikipedia

    en.wikipedia.org/wiki/Computer_simulation

    Computer simulation is the running of a mathematical model on a computer, the model being designed to represent the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be determined by comparing their results to the real-world outcomes they aim to predict.

  6. Model order reduction - Wikipedia

    en.wikipedia.org/wiki/Model_order_reduction

    Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely related to the concept of metamodeling , with applications in all areas of mathematical modelling .

  7. Mathematical and theoretical biology - Wikipedia

    en.wikipedia.org/wiki/Mathematical_and...

    The earlier stages of mathematical biology were dominated by mathematical biophysics, described as the application of mathematics in biophysics, often involving specific physical/mathematical models of biosystems and their components or compartments. The following is a list of mathematical descriptions and their assumptions.

  8. Mathematical software - Wikipedia

    en.wikipedia.org/wiki/Mathematical_software

    A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.A solver takes problem descriptions in some sort of generic form and calculates their solution.

  9. Geometric modeling - Wikipedia

    en.wikipedia.org/wiki/Geometric_modeling

    Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional (solid figures), although many of its tools and principles can be applied to sets of any finite dimension.