Time-dependent solutions for large systems of ODEs; computation and stability analysis of limit cycles; Lyapunov exponents of chaotic solutions are explored.
The numerical results show that the model and the method presented in this paper may be widely applied to solve the problems of large deformation of structures with discontinuity conditions in engineering; also the method has the advantages of little amount in computation, good stability and convergence and so on.
Our model allows rigorous computation of stability in the small μ and γ limit.
Recently, based on density functional theory (DFT) computations, the stability, electronic, and mechanical properties of the nanostructured aluminosilicates, like imogolite, halloysite, and chrysotile, have been revealed [31].
Computational experiment shows that the method possesses significant advantages over classical resultant computation in numerical stability and in producing eliminant polynomials with lower degrees and fewer extraneous factors.
The method is reliable in numerical computation with verifiable stability and a sensitivity measurement.
This analysis leads to the computation of the stability parameter introduced in the Generalized Coarse Mesh Rebalancing method.
FEM expression of DRT was deduced and implemented in TFINE, a nonlinear three dimensional finite element method program, and furthermore, successfully applied in slope stability computation and analysis.
Although requiring more modes than the Galerkin method to obtain the same accuracy, polynomial modes require less computation time for stability investigations.
Fast and accurate computation of protein stability is increasingly important for e.g. protein engineering and protein misfolding diseases, but no consensus methods exist for important proteins such as globins, and performance may depend on the type of structural input given.
