Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proves approximation order properties of various nonlinear subdivision schemes. Building on some recent results on the stability of nonlinear multiscale transformations,  are able to give very short and concise proofs. In particular  point out an interesting connection beten stability properties and approximation order for nonlinear subdivision schemes.
['Philipp Grohs']
I am writing a research paper on a idea Approximation order from stability for nonlinear subdivision schemes
[{"from": "human", "value": "I am writing a research paper on a idea Approximation order from stability for nonlinear subdivision schemes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  proves approximation order properties of various nonlinear subdivision schemes. Building on some recent results on the stability of nonlinear multiscale transformations,  are able to give very short and concise proofs. In particular  point out an interesting connection beten stability properties and approximation order for nonlinear subdivision schemes."}]