Sentence examples for spatial steps from inspiring English sources

To solve the model of the whole reactor the software package PDEX1M is used which makes it possible to continuously adapt the temporal and spatial steps.

Different from the standard LB model, the temporal and spatial steps in this model are decoupled such that it is convenient to study convection-diffusion problem with the non-uniform grid.

Exponential time differencing Runge Kutta (ETDRK) schemes based on diagonal Padé approximations for the numerical solution of reaction diffusion systems containing nonsmooth data have the disadvantage of producing poor numerical results when the time steps are "too large" relative to the spatial steps.

requires the use of extremely small spatial steps compared to the size of the obstacles within the scenario.

Then we take different spatial steps (see case I and case II) and temporal steps to compute the numerical solutions.

The spatial steps are chosen as (Delta x=Delta y=0.01) and the time step is chosen as (Delta t=0.0001).

Instead of a constant time step, the proposed equations employ a constant spatial step.

This method is very fast and accurate even when the spatial step size h is large (h⩾0.1).

It reduces temporal errors and generates accurate numerical solutions even if large time and coarse spatial step sizes are used in computation.

We isolate the conditions for global existence and prove l1-norm convergence of the method in the limit of zero spatial step size and infinite particles.

This method is not subject to a CFL restriction, limiting the ratio of the time step size to the spatial step size, typical of explicit methods, while maintaining computational cost and code complexity comparable to such explicit schemes.