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  2. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social ...

  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. [1] [2]

  4. Multiphysics simulation - Wikipedia

    en.wikipedia.org/wiki/Multiphysics_simulation

    The implementation of a multiphysics simulation follows a typical series of steps: [1] Identify the aspects of the system to be simulated, including physical processes, starting conditions, and the coupling or boundary conditions among these processes. Create a discrete mathematical model of the system. Numerically solve the model.

  5. Scientific modelling - Wikipedia

    en.wikipedia.org/wiki/Scientific_modelling

    By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work—that is, correctly to describe phenomena from a reasonably wide area.

  6. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    The second step is discretization, where the weak form is discretized in a finite-dimensional space. After this second step, we have concrete formulae for a large but finite-dimensional linear problem whose solution will approximately solve the original BVP. This finite-dimensional problem is then implemented on a computer.

  7. System dynamics - Wikipedia

    en.wikipedia.org/wiki/System_dynamics

    System dynamics is a methodology and mathematical modeling technique to frame, understand, and discuss complex issues and problems. Originally developed in the 1950s to help corporate managers improve their understanding of industrial processes, SD is currently being used throughout the public and private sector for policy analysis and design.

  8. Numerical modeling (geology) - Wikipedia

    en.wikipedia.org/wiki/Numerical_modeling_(geology)

    Steps in numerical modeling. The first step in numerical modeling is to capture the actual geological scenario quantitatively. For example, in mantle convection modeling, heat equations are used to describe the heat energy circulating in the system while Navier–Stokes equations describe the flow of viscous fluid (the mantle rock).

  9. Model-based design - Wikipedia

    en.wikipedia.org/wiki/Model-based_design

    Model-based design (MBD) is a mathematical and visual method of addressing problems associated with designing complex control, [1] signal processing [2] and communication systems. It is used in many motion control , industrial equipment, aerospace , and automotive applications.