Sentence examples for using the lagrangian equation from inspiring English sources

This convex optimization problem in Equations 15 to 18 satisfies the Karush-Kuhn-Tucker conditions, and it can be solved using the Lagrangian equation [36,37].

Non-linear second-order partial differential equations of the motion are derived using the Lagrangian equations of the second kind.

Bonding conditions between layers are simulated by using the Lagrangian multipliers method and governing equations are obtained by a variational approach.

We present a cell-centered discontinuous Galerkin discretization for the two-dimensional gas dynamics equations written using the Lagrangian coordinates related to the initial configuration of the flow, on general unstructured grids.

The particles were tracked using the Lagrangian method along with the flow equations at the end of each time step.

The surface tension is computed at the interface using the Lagrangian grid and included into the momentum equations as a body force.

Using the Lagrangian kinematic relations, a system of non-linear differential equations are obtained for a prismatic shear-deformable Timoshenko beam.

Motion equations of such DOFs are derived using the Lagrangian formalism.

The ultimate mode will be selected using the Lagrangian optimization.

Energy landscapes were then calculated using the Lagrangian multiplier technique.

The model is solved using the Lagrangian relaxation technique.