stiff ordinary differential equations

См. также в других словарях:

• Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …   Wikipedia

• Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   Wikipedia

• Differential algebraic equation — In mathematics, differential algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in one independent variable t, where is a vector of dependent variables and the system has as many… …   Wikipedia

• Differential-algebraische Gleichung — In einer differential algebraischen Gleichung (auch Algebro Differentialgleichung oder Deskriptor System) sind gewöhnliche Differentialgleichungen und algebraische (d. h. hier: ableitungsfreie) Nebenbedingungen gekoppelt und werden als eine… …   Deutsch Wikipedia

• Differential algebraische Gleichung — In einer differential algebraischen Gleichung (auch Algebro Differentialgleichung oder Deskriptor System) sind gewöhnliche Differentialgleichungen und algebraische (d. h. hier: ableitungsfreie) Nebenbedingungen gekoppelt und werden als eine… …   Deutsch Wikipedia

• Euler equations (fluid dynamics) — In fluid dynamics, the Euler equations govern inviscid flow. They correspond to the Navier Stokes equations with zero viscosity and heat conduction terms. They are usually written in the conservation form shown below to emphasize that they… …   Wikipedia

• Linear multistep method — Adams method redirects here. For the electoral apportionment method, see Method of smallest divisors. Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an …   Wikipedia

• Igor Goryanin — is a Russian biologist, who holds a Henrik Kascer Chair in Computational Systems Biology at the University of Edinburgh, and leads the Computational Systems Biology group, School of Informatics. Igor is also Director for the… …   Wikipedia

• List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

• Euler method — In mathematics and computational science, the Euler method, named after Leonhard Euler, is a first order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic kind of explicit… …   Wikipedia

• Contact dynamics — deals with the motion of multibody systems subjected to unilateral contacts and friction. Such systems are omnipresent in many multibody dynamics applications. Consider for example Contacts between wheels and ground in vehicle dynamics Squealing… …   Wikipedia