Equation-free modeling is a method for multiscale computation and computer-aided analysis. It is designed for a class of complicated systems in which one...

Structural equation modeling (SEM) is a diverse set of methods used by scientists for both observational and experimental research. SEM is used mostly...

In fluid dynamics, turbulence modeling is the construction and use of a mathematical model to predict the effects of turbulence. Turbulent flows are commonplace...

not necessarily, a free surface). The shallow-water equations in unidirectional form are also called (de) Saint-Venant equations, after Adhémar Jean...

Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used...

explicit equation-based modeling problematic. Empirical models, which infer patterns and associations from the data instead of using hypothesized equations, represent...

The sine-Gordon equation is a second-order nonlinear partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables...

theory Continuum modeling Discrete modeling Network-based modeling Statistical modeling Computational mechanics Equation-free modeling Integrated computational...

functions. The theory of the heat equation was first developed by Joseph Fourier in 1822 for the purpose of modeling how a quantity such as heat diffuses...

or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac {L}{1+e^{-k(x-x_{0})}}}}...

when modeling turbulent flows. Some models include the Spalart–Allmaras, k–ω, k–ε, and SST models, which add a variety of additional equations to bring...

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were...

Turing pattern Multi-state modeling of biomolecules Fisher's equation Zeldovich–Frank-Kamenetskii equation FitzHugh–Nagumo model Wrinkle paint Wooley, T...

1214/aoms/1177732676. Ωnyx, a free software environment for Structural Equation Modeling OpenMx - Advanced Structural Equation Modeling LISREL: model, methods and software...

Latent growth modeling is a statistical technique used in the structural equation modeling (SEM) framework to estimate growth trajectories. It is a longitudinal...

conduits can be modeled by the Colebrook–White equation. The last formula in the Colebrook equation section of this article is for free surface flow. The...

temperature, or internal energy. Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are useful in describing the...

The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system.: 1–2  Its...

account in the free electron model.[citation needed] Many physical properties follow directly from the Drude model, as some equations do not depend on...

is an object-oriented, declarative, multi-domain modeling language for component-oriented modeling of complex systems, e.g., systems containing mechanical...

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example...

credited with modeling Brownian motion in 1900, giving a very early example of a stochastic differential equation now known as Bachelier model. Some of these...

Reynolds stress equation model (RSM), also referred to as second moment closures are the most complete classical turbulence model. In these models, the eddy-viscosity...

instruments. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which...

Enthalpy-entropy compensation Free entropy Gibbs–Helmholtz equation Grand potential Non-random two-liquid model (NRTL model) – Gibbs energy of excess and...

Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation is the...

In physics, a Langevin equation (named after Paul Langevin) is a stochastic differential equation describing how a system evolves when subjected to a combination...

(see below for the different demonstrations). The Langmuir adsorption equation is θ A = V V m = K eq A p A 1 + K eq A p A , {\displaystyle \theta _{A}={\frac...

an unincorporated hamlet Streeter (surname) Streeter-Phelps equation, a water-modeling tool Streeterville, a waterfront neighborhood in Chicago, Illinois...

constants. Peng–Robinson equation of state (named after D.-Y. Peng and D. B. Robinson) has the interesting property being useful in modeling some liquids as well...