The QE-MC-fPINN method uses a geometry-adaptive three-part decomposition of the fractional Laplacian with Gauss-Jacobi quadrature, Gauss quadrature, Monte Carlo angular sampling, and a feature-enhanced fPINN to achieve higher accuracy and faster convergence than prior MC-fPINN approaches on tested 2
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Quadrature-Enhanced Monte Carlo fPINN Method for High-Dimensional Fractional PDEs
The QE-MC-fPINN method uses a geometry-adaptive three-part decomposition of the fractional Laplacian with Gauss-Jacobi quadrature, Gauss quadrature, Monte Carlo angular sampling, and a feature-enhanced fPINN to achieve higher accuracy and faster convergence than prior MC-fPINN approaches on tested 2