Sentence examples for stiff integration from inspiring English sources

The tests are used to verify that the scheme is effectively second order in time, and to suggest guidelines for selecting integration parameters, including the number of fractional diffusion steps and tolerance levels in the stiff integration.

The advantages of the stiff integration of reaction source terms are analyzed by comparing the performance of the scheme to that of a predictor corrector scheme in which reaction and diffusion are integrated in a similar nonstiff fashion.

Thus, alternatives to the usual methods for stiff systems integration become available.

When using the concentration-error minimization, simultaneous optimization met great difficulty to converge due to stiff ODE integrations.

In addition, we demonstrate how to adapt the stability contour of the non-stiff time-integration to the physical system at hand.

In sum, the concept of HMM in stiff combustion chemistry integration is numerically stable, accurate and efficient.

Finally, future research directions for working towards enabling realistic chemistry in reactive-flow simulations via GPU/SIMT accelerated stiff chemical kinetics integration were identified.

The method is based on a semi-implicit operator-splitting scheme with a stiff solver for integration of the chemical kinetic rates, developed by Knio et al. [O.M. Knio, H.N. Najm, P.S. Wyckoff, A semi-implicit numerical scheme for reacting flow II. Stiff, operator-split formulation, Journal of Computational Physics 154 (2) (1999) 428 467].

Using RADAU5 that is applicable to stiff systems, an integration time 160 (incl. ODE) or 11 (attached ODE) times smaller than for the reference is achieved.

The integrating factor (IF) method for numerical integration of stiff nonlinear PDEs has the disadvantage of producing large error coefficients when the linear term has large norm.

The new algorithm is designed for the integration of stiff systems of PDEs by means of explicit schemes.