Sentence examples for an analytical solution exists from inspiring English sources

The user enters the process model (set of ordinary differential equations), and the software generates an analytical model-based controller, if an analytical solution exists.

In second case, heat loss by convection is taken into account with a finite element analysis, while an analytical solution exists in the literature for the first case.

We now compare the performances of CN and Jain's scheme for computing the price of a zero-coupon bond under the CIR model for which an analytical solution exists and is given by (4).

An analytical solution exists that can be calculated as follows Delta U = left( {H^{T} H + rho I} right)^{ - 1} H^{T} left( {y_{d} - Fhat{x}left( k right)} right) (16 It should be noted that only Δu(k) is sent to the plant and all the computation is repeated at the next sampling time.

Numerical tests are performed on a simple test-problem for which a known analytical solution exists.

This integral property, as well as the spatial distribution of substrate concentration and cell density, are approximately similar to those of zero-order kinetics, for which a simple analytical solution exists.

When encountering new integrals, even ones that seem intractable, students should consider the use of a symbolic integrator to check if an easily implementable analytical solution exists, even one based on unfamiliar functions.

After verifying the numerical model for a case where analytical solution exists, it is used to gain insight into the failure of the adhesive joint by conducting a parametric study where the size, shape and location of the void with respect to the crack tip are varied.

In optimal input design problem, analytical solution exists for few particular cases based on a relatively simple model.

Simulation is required as no analytical solution exists for direct transient pressure analysis in these layered systems.

It should be noted that, in general, no analytical solution exists for these equations.