Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study explicit peer methods up to order p = 13 which have the strong stability preserving (SSP) property. This class of general linear methods has the favourable property of a high stage order. The effective SSP coefficient is maximized by solving a nonlinear constraint optimization problem numerically to high precision. The coefficient matrices of the optimized methods are sparse in a very structured way. Linear multistep methods are obtained as a special case of only one stage.
['Zoltán Horváth', 'Helmut Podhaisky', 'Rüdiger Weiner']
I am writing a research paper on a idea Strong stability preserving explicit peer methods
[{"from": "human", "value": "I am writing a research paper on a idea Strong stability preserving explicit peer methods"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study explicit peer methods up to order p = 13 which have the strong stability preserving (SSP) property. This class of general linear methods has the favourable property of a high stage order. The effective SSP coefficient is maximized by solving a nonlinear constraint optimization problem numerically to high precision. The coefficient matrices of the optimized methods are sparse in a very structured way. Linear multistep methods are obtained as a special case of only one stage."}]