Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations.Mathematics of computation, 65(215):943–982
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Learning Contractive Integral Operators with Fredholm Integral Neural Operators
Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.