Sentence examples for moving mesh scheme from inspiring English sources

Application of the proposed moving mesh scheme is illustrated with some two- and three-dimensional problems with large solution gradients.

The physical monotonicity of the solution and stability of this variable step moving mesh scheme are analyzed for the time away from the quenching.

This means that the mesh interval δ k is a conserved density of the self-adaptive moving mesh scheme.

Numerical simulations Here we show some examples of numerical simulations using the self-adaptive moving mesh scheme (26) and (27).

Here we show the details of procedures to construct the self-adaptive moving mesh scheme for the SP equation by means of the above two methods.

end{aligned} (36)   Step 4: This Lax pair provides (26) and (27) which is nothing but the self-adaptive moving mesh scheme for the SP equation.  .

This paper investigates solution behaviors under the strong shock interaction for moving mesh schemes based on the one-dimensional Godunov and HLLC Riemann solvers.

By means of the above methods (Method 1 or Method 2) for constructing self-adaptive moving mesh schemes, we can also construct self-adaptive moving mesh schemes for the coupld SP equation and the complex SP equation.

Self-adaptive moving mesh schemes have exact solutions such as multi-soliton solutions and Lax pairs, thus those schemes are integrable.

Self-adaptive moving mesh schemes consist of two semi-discrete equations in which the time is continuous and the space is discrete.

We have shown several examples of numerical computations of the short pulse type equations by using self-adaptive moving mesh schemes.