Sentence examples for problems that demonstrate from inspiring English sources

We present the results of test problems that demonstrate the accuracy of the proposed methodology.

Verification examples are presented along with illustrative problems that demonstrate the complexity of variably-saturated flow and solute transport in fractured systems.

We give numerical results for various difficult nonsymmetric eigenvalue problems that demonstrate the capability of the dynamic switching strategy for significantly accelerating the convergence of Arnoldi algorithms.

Emphasis is given to relevant design problems that demonstrate the effectiveness of the above method for optimal control of texture-dependent material properties during deformation such as the magnetic hysteresis losses, the yield stress and the Lankford parameter R.

The method is applied to two problems that demonstrate its utility for investigating biological locomotion: a flapping elliptical wing with hovering insect kinematics, with good agreement of forces with previous simulations and experiments; and a three-linkage 'fish' undergoing undulatory mechanics.

We first consider a single-cell problem that demonstrates the negative compressibility phenomenon.

Validation problems are presented that demonstrate the application and accuracy of the method.

Canonical flow problems are solved that demonstrate the effectiveness of this method.

Computational results on both two and three dimensional test problems are presented that demonstrate the accuracy and computational efficiency of the procedure.

Results are then presented from realistic problems that further demonstrate the challenges associated with using grid refinement studies to assess solution accuracy.

Brandon L. Garrett, a law professor at the University of Virginia whose book, "Convicting the Innocent," was cited by the New Jersey Supreme Court justices in their ruling, said that judges often blocked testimony about studies that demonstrate problems with witness evidence.