Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Approximation of the marginal distribution of the solution of the stochastic Navier-Stokes equations on the two-dimensional torus by high order numerical methods is considered. The corresponding rates of convergence are obtained for a splitting scheme and the method of cubature on Wiener space applied to a spectral Galerkin discretization of degree $N$. While the estimates exhibit a strong $N$ dependence, convergence is obtained for appropriately chosen time step sizes. Results of numerical simulations are provided and confirm the applicability of the methods.
['Philipp Dörsek']
I am writing a research paper on a idea Semigroup Splitting and Cubature Approximations for the Stochastic Navier-Stokes Equations
[{"from": "human", "value": "I am writing a research paper on a idea Semigroup Splitting and Cubature Approximations for the Stochastic Navier-Stokes Equations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Approximation of the marginal distribution of the solution of the stochastic Navier-Stokes equations on the two-dimensional torus by high order numerical methods is considered. The corresponding rates of convergence are obtained for a splitting scheme and the method of cubature on Wiener space applied to a spectral Galerkin discretization of degree $N$. While the estimates exhibit a strong $N$ dependence, convergence is obtained for appropriately chosen time step sizes. Results of numerical simulations are provided and confirm the applicability of the methods."}]