Sentence examples for continuation procedures and from inspiring English sources

The performance of the continuation procedures and the convergence of the multi-term extended Kantorovich method are examined through the solution of the two-dimensional Bratu Gelfand benchmark problem.

At each iterative step, a suitable continuation procedure develops and passes to the nonlinear solver an accurate initial guess.

Emphasis is placed on the effect of destabilizing loads and on the derivation of the solution methodologies required for tracking a highly nonlinear equilibrium path, namely: parameter continuation and arc-length continuation procedures.

Through this example, we illustrate how to analyze the (singular and regular) extremals of the problem with Lie and Poisson brackets, and how to elaborate numerical continuation procedures adapted to the solution structure.

Similar continuation procedures have also been applied to the well-known Goddard's problem, and to its three-dimensional variants ([12, 14]).

Continuation procedures are also valuable for high-thrust orbital transfer problems.

A multiple shooting and continuation procedure is employed to target orbit-attitude periodic solutions in this model.

This last continuation procedure fails in case of chattering, and thus it cannot be successful for any arbitrary terminal conditions.

This regularized optimal control problem with the cost (27) has continuous extremal controls and it is therefore well suited to a continuation procedure.

In the next section, we will show step by step by a nonacademic attitude-trajectory problem how the analysis and the design of numerical continuation procedure are done.

By using a properly modified continuation procedure, the reentry problem was solved in [55] and the results of [18] were retrieved.