Sentence examples for systems which arise from inspiring English sources

We examine all of these issues and comment on their implications for similar systems which arise in continuum mechanics.

Such features require very fine discretizations, even with the use of adaptive gridding, and cause the linear systems which arise to be highly ill-conditioned.

An algorithm is presented for the solution of the time dependent reaction-diffusion systems which arise in non-equilibrium radiation diffusion applications.

This paper presents an overview of parallel algorithms and their implementations for solving large sparse linear systems which arise in scientific and engineering applications.

We consider digital input-constrained adaptive and non-adaptive output feedback control for a class of nonlinear systems which arise as models for controlled exothermic chemical reactors.

The technique is general, but we have concentrated on high-dimensional systems which arise as discretisations of neural field models.

Kepler's complete corpus can be hardly summarized as a "system" of ideas like scholastic philosophy or the new Cartesian systems which arose in the second half of the 17th century.

We are able to explain this complexity as an inherent feature of non-equilibrium systems, which arises from the dependence on history away from equilibrium.

Testing of integrated and individual modules becomes time consuming, as new test cases have to be continuously rewritten and their application often leads to 'ripple effects' : these are unidentified logical or syntax errors in the system which arise while fixing the errors.

The approximate system which arises from the Newton linearization of the nonlinear evolution operator is solved by using the preconditioned GMRES (generalized minimum residual) technique.

The stability analyses demonstrate the performance of several iterative schemes applied to the solution of the linearized block system which arises in the fully implicit formulation.