Although multiparameter approaches are exploited occasionally to solve such equations numerically, MEPs remain less well known, and the variety of available numerical methods is not wide.
There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order.
There is no quantitative description available that numerically relates any acoustic parameter pattern or the local elastic behaviour to any standardized geometrical positions within human teeth.
No published work is available that numerically investigates elastomer seal performance based on actual material properties at various stages of swelling.
The new formulas, which in some cases are optimal, i.e., minimal-point, are the most efficient means available for numerically computing volume integrals over triangular prism elements in that they require fewer points than any other presently available formulas of the same polynomial degree.
A great variety of algorithms is available to numerically tackle these kinds of problems, and the most commonly used is a simple iterative method.
Although many tools are available to integrate numerically arbitrarily complex chemical reaction systems, few tools exist in order to analyze the results and interpret them in relatively simple terms.
In order to describe the box model with mathematical formulae, assumptions and boundary conditions are needed to make the model numerically available and physically meaningful.
SIF solutions for such problems are not available, neither analytically, nor numerically, as the currently existing solutions in the literature (numerical results, Newman Raju empirical equations, weight function solutions, etc).
A non-isothermal model of dual reflux pressure swing adsorption (DR-PSA) was developed using a commercially available software package to numerically solve the dynamics of the unit operation.
