Sentence examples for dimensions to demonstrate from inspiring English sources

We propose numerical examples in two and three spatial dimensions to demonstrate the accuracy of the method.

Drops sliding on a wall are simulated in both two and three dimensions to demonstrate the advantages of this method.

We provide six numerical examples at both small and larger scales and in two and three dimensions, to demonstrate powerful features of the formulation.

We present numerical results for boundary-layer type problems on non-uniform grids in one dimension and irregular triangular grids in two dimensions to demonstrate various remarkable advantages of the proposed approach.

A main feature is that a testing method is presented in this paper for the exact steady state probability density of two dimensions to demonstrate the effectiveness of the exact results.

We present numerical results in two and three spatial dimensions to demonstrate the second-order accuracy in the L1-norm in the case of the solution of PDEs with singular source terms.

Furthermore, Cronbach's Alpha was calculated for all 7 dimensions (35 items) at 0.903 and subsequently for each individual dimension to demonstrate internal consistency (see Table 3).

Test cases in one and two dimensions are shown to demonstrate the feasibility and accuracy of the proposed approach.

Numerical experiments in one- and two-space dimensions are presented to demonstrate the accuracy and the robustness of the method.

Numerical examples of both scalar equations and systems in two and three spatial dimensions are shown to demonstrate the accuracy, efficiency and robustness of the methods.

Numerical examples of nonlinear Schrödinger equations in one and two dimensions are presented to demonstrate the properties of the discussed absorbing boundary conditions.