Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Harmonic balance (HB) method is ll known principle for analyzing periodic oscillations on nonlinear networks and systems. Because the HB method has a truncation error, approximated solutions have been guaranteed by error bounds. Hover, its numerical computation is very time-consuming compared with solving the HB equation.  proposes an algebraic representation of the error bound using Grobner base. The algebraic representation enables to decrease the computational cost of the error bound considerably. Moreover, using singular points of the algebraic representation,  can obtain accurate break points of the error bound by collisions.
['Masakazu Yagi', 'Takashi Hisakado', 'Kohshi Okumura']
I am writing a research paper on a idea An Algebraic Approach to Guarantee Harmonic Balance Method Using Gröbner Base
[{"from": "human", "value": "I am writing a research paper on a idea An Algebraic Approach to Guarantee Harmonic Balance Method Using Gr\u00f6bner Base"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Harmonic balance (HB) method is ll known principle for analyzing periodic oscillations on nonlinear networks and systems. Because the HB method has a truncation error, approximated solutions have been guaranteed by error bounds. Hover, its numerical computation is very time-consuming compared with solving the HB equation.  proposes an algebraic representation of the error bound using Grobner base. The algebraic representation enables to decrease the computational cost of the error bound considerably. Moreover, using singular points of the algebraic representation,  can obtain accurate break points of the error bound by collisions."}]