Sentence examples for methods is proved from inspiring English sources

The energy stability of the LDG methods is proved for the general nonlinear case.

Under certain conditions, the global convergence of the both methods is proved.

Under certain conditions, the global convergence of the proposed methods is proved.

The weak convergence for the proposed methods is proved under standard conditions.

A random mean value theorem is established and the mean square convergence of these methods is proved.

A new approach via critical point and variational methods is proved to be very effective in studying the boundary problem for differential equations.

This principle, and associated phylogenetic methods, is proving crucial to understanding tumor heterogeneity, and its significance for optimizing chemotherapy.

Adequacy of implemented models and methods was proved.

Through the comparison with test data, these methods are proved to be suitable for structural design.

The effectiveness of both methods was proved by practical experiments on a common tube sample.

As a consequence, some existence results derived by minimax methods were proved.