Data assimilation, preserving conservation laws in numerical methods and, not least, a good understanding of cyclogenesis and related processes quantified by much simpler mathematical models, all count.
Using a modal Taylor series basis, the scheme may be made monotone while preserving conservation with the use of a standard slope limiter, although this reduces the formal accuracy of the scheme to first order.
Predicted edited sequences (Additional File 1) were generated by manually inserting or deleting Us in the unedited message sequence following the known sequences of the corresponding T. brucei edited mRNAs, while preserving conservation of the resulting amino acid sequence.
It is not, in general, possible to preserve these conservation laws simply by discretization in conservative form because there is frequently only one explicit conservation law.
Unlike many previous area-weighted schemes that possess the spherical symmetry property, our scheme is discretized on the true volume and it can preserve the conservation property for all the conserved variables including density, momentum and total energy.
Numerical experiments presented reveal that MSRK methods applied to the nonlinear Dirac equation preserve exactly conservation laws of charge and momentum, and conserve the energy conservation in the corresponding numerical accuracy to the method utilized.
From now on, it has pledged to work to preserve "high conservation value" and "high-carbon stock" forests.
But the bill that has emerged from the House Agriculture Committee lacks an important provision that would preserve those conservation incentives.
In 1930 Pauli conjectured the existence of neutral particles (later called neutrinos) to preserve the conservation of energy in nuclear beta decay.
Numerical experiments show that these schemes preserve the conservation laws of charge and energy and achieve the expected convergence rates.
