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An explainable operator approximation framework under the guideline of Green's function

An explainable operator approximation framework under the guideline of Green's function

Traditional numerical methods, such as the finite element method and finite volume method, adress partial differential equations (PDEs) by discretizing them into algebraic equations and solving these iteratively. However, this process is often computationally expensive and time-consuming. An alternative approach involves transforming PDEs into integral equations and solving them using …