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math.NA2026
Physics-informed token transformer methodology for nonlinear balance laws. I. Schwarzschild--Burgers fluid flows
Philippe G. LeFloch, Shuyang Xiang
We introduce a Physics-Informed Token Transformer (PITT) methodology for nonlinear hyperbolic balance laws in one space dimension, using piecewise steady-state profiles for the rep…
math.NA2025
Physics-Informed Neural Networks for the Relativistic Burgers Equation in the Exterior of a Schwarzschild Black Hole
Shuyang Xiang
We introduce a Physics-Informed Neural Networks(PINN) to solve a relativistic Burgers equation in the exterior domain of a Schwarzschild black hole. Our main contribution is a PINN…
math.NA2019
Boundary integral equations for isotropic linear elasticity
Benjamin Stamm, Shuyang Xiang
This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lamé coefficients in…