Sentence examples for by the explicit method from inspiring English sources

Firstly, equation (20a) is solved by the explicit method.

A set of differential equations is solved by the explicit method of finite-difference scheme.

The results obtained by the explicit method show the usefulness of the new approach in comparison with the single mode approach solution frequently used in non-linear vibration analysis of structures, and are expected to be easy to implement in fatigue models in order to make more realistic and secure predictions of the structural fatigue life.

An implicit-solvent based MD simulation method which employs the Generalized Born (GB) model to describe the solvation effects implicitly, executes the 25 ns simulation in about 42 hours compared to 625 hours taken by the explicit method.

The information provided by the explicit methods is not relevant to the routines and planning situations they encounter in their work.

These schemes are stable by design and follow the main general concept behind the semi-Lagrangian method by constructing a virtual grid where the explicit method becomes stable.

In this paper we give some evidence that the stall in convergence with the explicit method might be caused by a physical instability in the wake behind the airfoil.

Direct conversations and meetings with users are more important than the explicit methods provided by head office.

Then, the sequence {x n } generated by the explicit iterative method (3.5) converges to x ̃ ∈ F i x ( T ).

These algorithms are employed to solve 24 random instances, in which their performances are evaluated based on the comparison of their solutions with the obtained exact solutions by the explicit enumeration method.

Then the sequence { x n } generated by the explicit iterative method (1.2) converges to x ˜ ∈ Fix ( T ), which is the minimum-norm fixed point of T. Note that the idea of the iterative algorithms with perturbations has been extended to the other topics, see, for example, [26].