Euler method

Euler method
A method for numerically approximating the solution to an ordinary differential equation with a given initial value.

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  • 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

  • Semi-implicit Euler method — In mathematics, the semi implicit Euler method, also called symplectic Euler, semi explicit Euler, Euler–Cromer, and Newton–Størmer–Verlet (NSV), is a modification of the Euler method for solving Hamilton s equations, a system of ordinary… …   Wikipedia

  • Euler-Maruyama method — In mathematics, the Euler Maruyama method is a technique for the approximate numerical solution of a stochastic differential equation. It is a simple generalization of the Euler method for ordinary differential equations to stochastic… …   Wikipedia

  • Euler's factorization method — is a method of factorization based upon representing a positive integer N as the sum of two squares in two different ways :N = a^2+ b^2 = c^2+ d^2 (1)Although the algebraic factorization of binomial numbers cannot factor sums of two squares… …   Wikipedia

  • Euler summation — is a summability method for convergent and divergent series. Given a series Σ a n , if its Euler transform converges to a sum, then that sum is called the Euler sum of the original series.Euler summation can be generalized into a family of… …   Wikipedia

  • Euler's sum of powers conjecture — Euler s conjecture is a disproved conjecture in mathematics related to Fermat s last theorem which was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n k th powers of positive integers is …   Wikipedia

  • Euler's Day Off (game) — Euler s Day Off is a letter rearrangement word game.Objective of the gameThe object of the game is to arrange twenty five randomly selected letters in a five by five grid to form as many vertical and horizontal words as possible.coringPlayers… …   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

  • Euler's three-body problem — In physics and astronomy, Euler s three body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are either fixed in space or move in circular coplanar orbits about their… …   Wikipedia

  • Euler–Lagrange equation — In calculus of variations, the Euler–Lagrange equation, or Lagrange s equation is a differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss mathematician Leonhard Euler and… …   Wikipedia

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