Sentence examples for model problem and from inspiring English sources

The three methods are applied to the model problem and compared for efficiency, robustness, and implementation difficulty.

Numerical results are presented for a two-dimensional model problem, and both the solution accuracy and convergence rate are investigated.

This is demonstrated by analyzing a model problem and conducting numerical simulations of the Navier Stokes equations.

The software is described first in general, then we illustrate its exploration possibilities in terms of a model problem and a more typical application problem of crash simulation.

Results of this method for a scalar model problem and a solution to Burgers' equation are given, showing that the 50% limitation can be circumvented.

Error estimates are derived for a simple model problem, and numerical experiments verify the results for the true non-linear equations.

Results are validated using model problems and the full potential is demonstrated for two representative problems.

Numerical results are presented for two model problems and a realistic setup.

New technologies and ballooning data sets allow us to model problems and test solutions in human health, in ways inconceivable just a decade ago.

Numerical results illustrate the effectiveness of the proposed methods on some model problems and on several problems of practical interest.

These examples include carefully chosen model problems and an application to a time series from molecular dynamics.