Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions.  will aim for methods which are A-stable and L-stable and such that the coefficients matrix has a one point spectrum. Examples of methods of order up to eight are provided.
['Dajana Conte', "Raffaele D'Ambrosio", 'Z. Jackiewicz']
I am writing a research paper on a idea Two-step Runge-Kutta Methods with Quadratic Stability Functions
[{"from": "human", "value": "I am writing a research paper on a idea Two-step Runge-Kutta Methods with Quadratic Stability Functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions.  will aim for methods which are A-stable and L-stable and such that the coefficients matrix has a one point spectrum. Examples of methods of order up to eight are provided."}]