We present a strongly-coupled solution algorithm where the high order L-stable explicit first-stage singly diagonally implicit Runge Kutta (ESDIRK) schemes are used to advance the solution in time within each separate fluid and solid subdomains.
The IMEX schemes consist of the explicit first-stage singly diagonally implicit Runge Kutta (ESDIRK) schemes, for advancing the solution in time within each separate fluid and solid subdomain, and the explicit Runge Kutta (ERK) schemes, for explicit integration of part of the coupling terms.
The application of a family of high order implicit Runge Kutta time integration schemes, namely the explicit first-stage singly diagonally implicit Runge Kutta schemes (ESDIRK), to cell-centered collocated finite volume discretization of the unsteady incompressible Navier Stokes is considered.
Double Nck1 and Nck2-knockout mice die in early embryonic stage, whereas singly Nck1 or Nck2 deleted mice do not possess any phenotype, suggesting a redundant function of these two molecules in mice [ 16].
Seedlings about 10 cm tall at the second-leaf stage were singly transplanted into 10 cm diameter plastic pots, each containing 500 cc of mixture sterilized sandy soil: 70% sand+ 15% leca + 10% clay (sterilized at 70°C for 24 hours) + 5% organic matter.
However, in the early stage of photoinhibition, when singly reduced QA is reversibly stabilized, the triplet chlorophyll is rapidly quenched by the interaction with QA−, preventing formation of harmful singlet oxygen [ 71].
Fully implicit methods tested are either the backward differentiation formulas (BDF) or stage-order two, explicit, singly diagonally implicit Runge Kutta (ESDIRK) methods.
At the V2.5 stage of maize growth, plants were singly inoculated by leaf spray with either A. brasilense strain Ab-V5 or Ab-V6 harboring the reporter plasmids expressing egfp and eyfp genes, respectively.
The surface oxidation arising in the DBD discharge was found to arise in two stages: in the first stage, the creation of the carbon sites singly bonded to oxygen is dominant, the second stage leads to further conversion of such lightly oxidised carbons to those more heavily oxidised.
