Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study here explicit flux-splitting finite volume discretizations of multi-dimensional nonlinear scalar conservation laws perturbed by a multiplicative noise with a given initial data in L 2 (R d ). Under a stability condition on the time step,  prove the convergence of the finite volume approximation towards the unique stochastic entropy solution of the equation.
['Caroline Bauzet', 'Julia Charrier', 'Thierry Gallouët']
I am writing a research paper on a idea Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation
[{"from": "human", "value": "I am writing a research paper on a idea Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study here explicit flux-splitting finite volume discretizations of multi-dimensional nonlinear scalar conservation laws perturbed by a multiplicative noise with a given initial data in L 2 (R d ). Under a stability condition on the time step,  prove the convergence of the finite volume approximation towards the unique stochastic entropy solution of the equation."}]