Sentence examples for by numerical methods or from inspiring English sources

The parameters of the required oscillators and their locations may be determined either analytically by numerical methods, or experimentally by modal analysis techniques, when the prototype form of the structure is available.

The usual procedure is to reduce the partial differential equations of motion of the continuous system to an approximate system of time-dependent ordinary differential equations of motion, which are in turn solved by numerical methods or, approximately, by perturbation procedures.

The true output ranges, which are used as reference values, are obtained by numerical method or nonlinear programming technique, which are time-consuming and are not practical to solve the true bounds for large number of signals.

Solutions to these models are either by linear approximations of the non-linear source, by other approximations of such non-linearity, or by numerical methods that frequently are heavily dependent of the mesh size for a successful convergence.

What remains is a partial differential equation that can be solved either explicitly or by numerical methods that can be employed to price zero coupon bonds and interest rate derivatives of any maturity.

Therefore, they can only be solved by numerical methods.

Therefore, the geometrical properties must be calculated by numerical methods.

The integrals can be obtained only by numerical methods.

We think that it is the key step toward solving EPCA by numerical methods.

That is well-posed and, at least in principle, approximately solvable by numerical methods.

Moreover, these mathematical models are solved usually by numerical methods which produce approximations to the exact solutions.