Sentence examples for numerical problems and from inspiring English sources

Traditional SSFEM approaches lead to large-scale numerical problems and computational costs rendering these methods impractical for design optimization purposes.

For the last 2 decades, scientists have harnessed the power of parallel processing supercomputers--whose multiple processors perform thousands of sophisticated calculations simultaneously--to solve previously intractable numerical problems and create stunning images of everything from genes to galaxies.

We detail the control technique, including the estimation and numerical problems and then give industrial results over 6 months.

It is shown by numerical examples that this method provides highly accurate results with a small number of nodes while avoiding numerical problems and instabilities.

The assignments include visualizations, PhET and other simulations (Wieman et al. 2008), numerical problems, and context-rich, scaffolded problem-solving (Heller and Hollabaugh 1992; Kapur et al. 2008; Maloney 2011).

In order to prevent numerical problems and to ensure the avoidance of any bias in the descriptor space, we normalised all descriptor values to a range between -1 and +1.

Although from such a curve it seems straightforward to determine the reshaping filter length corresponding to the corner of the L-curve (i.e., (L^{mathrm {s}}_{g} = 1000) in this example), numerical problems may occur, and hence, a numerically stable algorithm is required.

In general, problems which can be addressed by GA can be divided into combinatorial problems and numerical problems.

In this paper, by means of attempting to disintegrate a complicated architectural problem into combinatorial and numerical problems, the author discusses feasibility and practicality of solving these two types of problems simultaneously utilizing GA and discloses both advantages and disadvantages of GA by comparing with other algorithms.

Numerical problems with freeform and periodic design domains are dealt with to demonstrate the proposed topology optimization method.

Several numerical problems are solved and the results are compared with those obtained from a fully meshed direct numerical model.