Explore: Stiff Computation (differential Equations)

integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes

In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless

element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem

a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or

differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and

approximations to the solutions of time-dependent ordinary and partial differential equations, as is required in computer simulations of physical processes. Explicit

described by partial differential equations. For example, the Navier–Stokes equations are a set of partial differential equations derived from the conservation

algebraic equations has to be solved. This increases the computational cost considerably. If a method with s stages is used to solve a differential equation with

(2000-12-15), "Numerical methods for ordinary differential equations in the 20th century", Journal of Computational and Applied Mathematics, vol. 125, no. 1–2

CM. The areas of mathematics most related to computational mechanics are partial differential equations, linear algebra and numerical analysis. The most