Sentence examples for problem are required to from inspiring English sources

Time-dependent calculations and a more realistic formulation of the problem are required to better understand the implications of these results for plate tectonics initiation.

In the formulations of Lemmas 2.4 and 2.5 the coefficient and the free term of the Riemann problem are required to satisfy the H lder condition on the contour Re .

A solution to a supplementary problem is required to obtain neutral plane deflection.

In particular, every PISA problem is required to have a context.

A numerical simulation for the plate-mantle problem is required to solve such plate motions properly without serious numerical errors.

A block Gauss Seidel iterative method is introduced to solve the coupled system of the multiple cavity scattering problem, where only a single cavity scattering problem is required to be solved at each iteration.

And welfare recipients who have drug or alcohol problems are required to be enrolled in counseling programs.

Controllers in some power system problems are required to satisfy different performance objectives, which could be conflicting with one another.

This problem belongs to multi-dimensional optimisation problem in which a number of sub-problems are required to be optimised at the same time.

Since the solutions of these interface problems are required to satisfy interface jump conditions from conservation laws, it is difficult to find the exact solutions and construct high accuracy numerical methods.

On the other hand, domain-based methods are applicable to model the strong heterogeneities, whereas much denser grids and/or finer meshes than the usual wave propagation problems are required to ensure the accurate and stable simulation of the dynamic ruptures (e.g. Day et al., 2005).