Sentences with phrase «as numerical solution»

Not exact matches

James Bradley makes a valiant attempt to solve within Whitehead's basic terms the problem Jones has suggested needed a solution, but there is little doubt Jones would regard Bradley's solution as too heavily» reliant upon numerical unity», and therefore abstract.

As numerical models can not find solutions of any system of non linear ODEs or PDEs because the system is simply spatially too huge and all the equations are not known anyway, they have no relevance to what I discuss here.

It is critical that the actual coding be shown to be exactly what was intended as guided by theoretical analyses of the discrete approximations and numerical solution methods.

As soon as a global climate model readjusts a vertical column to unphysically alter the large scale solution in order to maintain hydrostatic balance (overturning due to unrealistic heating parameterizations necessitate this adjustment), there is no mathematical theory that can justify the nature of the ensuing numerical solutioAs soon as a global climate model readjusts a vertical column to unphysically alter the large scale solution in order to maintain hydrostatic balance (overturning due to unrealistic heating parameterizations necessitate this adjustment), there is no mathematical theory that can justify the nature of the ensuing numerical solutioas a global climate model readjusts a vertical column to unphysically alter the large scale solution in order to maintain hydrostatic balance (overturning due to unrealistic heating parameterizations necessitate this adjustment), there is no mathematical theory that can justify the nature of the ensuing numerical solution.

If numerical methods can not accurately compute the solution of the basic dynamical system (so called dynamical cores) either because of ill posedness, fast exponential growth, or inadequate resolution to properly resolve the rapid nonlinear cascade of the vertical component of vorticity (requires unphysically large dissipation to overcome), then adding necessarily unphysical parameterizations to overcome these deficiencies can not lead to a correct physical solution as the resolution is reduced.

As I have clearly stated, this problem can be seen without the missing section, but that section will help to clarify the discussion about too large of dissipation impacting the accuracy of the numerical solution and the subsequent need for unphysical forcing to «adjust» the spectrum.