Sentence examples for by numerical experiments that from inspiring English sources
It is shown and supported by numerical experiments that at each time step the divergence is actually equal to zero within machine accuracy.
Using the ADF facilities of orbital population control and fractional occupation schemes, we devised two simple ways to estimate 10Dq parameters by numerical experiments that simulate the effects of Ligand Field stabilization and electron promotion.
This is validated by numerical experiments that compute observables for different molecules, ranging from a small n-alkane butane with four united atoms to a larger solvated protein with 14,281 atoms.
It is shown by numerical experiments that VIS-MHD-A is able to work accurately for a wide range of problems including discontinuities, shock structures, and problems including smooth solutions (e.g., Rayleigh Taylor and Kelvin–Helmholtz instability).
This requirement becomes very restrictive close to the incompressible limit μ≪λ, especially for lower order methods i.e., a small p. The theoretical findings are supported by numerical experiments that illustrate the demanding resolution requirement as well as the superiority of higher order methods.
We demonstrate by numerical experiments that sufficiently wide super-grid layers result in very small artificial reflections.
We find by numerical experiment that these procedures are essentially nonoscillatory without any stringent cfl limitation cfl(∈[0.8,1]), for scalar hyperbolic problems (both linear and scalar conservation laws), provided that the exponent pβ in the definition of the Jiang Shu [G.S. Jiang, C.W. Shu, Efficient implementation of weighted eno schemes, J. Comput. Phys.
We show by numerical experiment that the new algorithm 1) efficiently converges the nonlinearly coupled Vlasov Fokker Planck Ampère system, and 2) accurately steps over stiff time-scales such as the inverse electron plasma frequency, and the electron electron collision time-scale.
We have designed a global hotspot-melting model by integrating the results of 126 3D numerical experiments that resolve the key aspects of mantle plume melting with data on plume buoyancy fluxes, plume excess temperatures, plate speeds and plate ages for 43 oceanic hotspots (see Supplementary Table 2 and Methods section).
Its impact is also demonstrated by one- and two-dimensional numerical experiments that confirm its theoretically proven ability to preserve higher-order spatial accuracy, including in the vicinity of the immersed interfaces.
It is demonstrated by the numerical experiments that the proposed RKDG methods give higher resolution in solving problems with smooth solutions.
