If we plug the Lagrangian of a system into the Euler-Lagrange equation and the result will be equations describing how that system will move and change over time.

The paper presents a new approach to the numerical solution of the Euler-Lagrange equations based upon the reduction of the problem to a second-order ordinary differential equation (ODE) on the ...

The Infinity Laplacian, Aronsson's Equation and Their Generalizations E. N. Barron, L. C. Evans and R. Jensen Transactions of the American Mathematical Society , pp. 77-101 (25 pages) ...