Sentence examples for method and duality from inspiring English sources

By using Lagrangian method and duality theorem, a multiplier mechanism is introduced as the exchanged information between MGs to solve the decoupled subproblem for each MG.

Along the way, we explain the differences and similarities between optimal prediction, the representer method in data assimilation, and duality methods for finding weak solutions.

The formulation of the shallow water equations used here is discretised in time using the method of characteristics and the Euler implicit method, and solved by a duality technique with automatic choice of parameters.

Hence, after obtaining Theorem 4.7, we cannot deduce Theorem 4.8 via the method of duality used by Guo et al. [2].

As an application, we discuss the Bergman projection and duality.

In the imperative mood, plurality and duality are not expressed.

The investigation is based on degree theories for appropriate classes of operators, and a regularization method by the duality operator is used.

We propose and study a finite volume method of discrete duality type for discretizing the multigroup PN approximation of radiative transfer equation on general meshes.

In a regularization method by the duality operator, we use the degree theories of Kartsatos and Skrypnik upon conditions of C as well as Browder's degree.

In this sense, the standard method depends upon duality.

In a regularization method by the duality operator, we establish a new result on the existence of eigenvalues, by applying topological degree for densely defined operators in [8, 9].