euler equation
91Korteweg–de Vries equation — In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non linear partial …
92Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation[1]) is an algebraic equation of degree on which depends the solutions of a given th order differential equation.[2] The characteristic equation can only be formed when the… …
93Contributions of Leonhard Euler to mathematics — The 18th century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field. His seminal work had a profound impact in numerous areas of mathematics and he is widely… …
94Semi-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… …
95Homogeneous differential equation — A homogeneous differential equation has several distinct meanings.One meaning is that a first order ordinary differential equation is homogeneous if it has the form : frac{dy}{dx} = F(y/x).To solve such equations, one makes the change of… …
96Pell's equation — is any Diophantine equation of the form:x^2 ny^2=1,where n is a nonsquare integer and x and y are integers. Trivially, x = 1 and y = 0 always solve this equation. Lagrange proved that for any natural number n that is not a perfect square there… …
97Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …
98Mild-slope equation — Simulation of wave penetration involving diffraction and refraction into Tedious Creek, Maryland, using CGWAVE (which solves the mild slope equation). In fluid dynamics, the mild slope equation describes the combined effects of diffraction and… …
99Sine-Gordon equation — The sine Gordon equation is a nonlinear hyperbolic partial differential equation in 1+1 dimensions involving the d Alembert operator and the sine of the unknown function. It was originally considered in the nineteenth century in the course of… …
100Nombre Pseudopremier D'Euler-Jacobi — Un nombre entier impair composé n est appelé pseudopremier d Euler Jacobi de base a, si a et n sont premiers entre eux, et où est le symbole de Jacobi. Cette définition est motivée par le fait que tous les nombres premiers n satisfont l équation… …
