Sentence examples for moving mesh schemes from inspiring English sources

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 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.

Lax pairs of self-adaptive moving mesh schemes for short pulse type equations are constructed by discretization of Lax pairs of short pulse type equations.

Integrable self-adaptive moving mesh schemes for short pulse type equations (the short pulse equation, the coupled short pulse equation, and the complex short pulse equation) are investigated.

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).

Numerical simulations Here we show some examples of numerical simulations of the complex SP equation using the self-adaptive moving mesh scheme (91), (92) and (93).