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cs.LG2026
Linear-Nonlinear Fusion Neural Operator for Partial Differential Equations
Heng Wu, Junjie Wang, Benzhuo Lu
Neural operator learning directly constructs the mapping relationship from the equation parameter space to the solution space, enabling efficient direct inference in practical appl…
cs.LG2026
Operator learning on domain boundary through combining fundamental solution-based artificial data and boundary integral techniques
Haochen Wu, Heng Wu, Benzhuo Lu
For linear partial differential equations with known fundamental solutions, this work introduces a novel operator learning framework that relies exclusively on domain boundary data…