Sentence examples for model problems are from inspiring English sources

Two model problems are considered for analysis.

A number of model problems are examined.

In all cases three model problems are examined.

Selected model problems are analyzed to illustrate the basic features of the new model.

Subsequently, two model problems are studied to illustrate the versatility of the multiscale analysis procedure.

Clear improvements of the convergence rate for relevant model problems are achieved.

Numerical results for a model problem are reported to demonstrate the efficiency of the sparse solver.

The stability and convergence properties predicted by the model problem are then compared to those obtained in the CHT computation.

Results from a model problem are used to show both spatial and temporal convergence rates and several test cases are presented to illustrate the performance of the algorithms.

The transport equations for the model problem are simplified using lubrication theory, and a convergent finite-difference method is formulated to obtain solutions to the simplified equation set.

A 2D model problem is used to illustrate the difficulties encountered.