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Home/Authors/Ronald Katende

Ronald Katende

1 indexed paper

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Publications per year

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26

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Numerical Analysis×1Comp. Eng.×1ML×1

Frequent co-authors

Henry Kasumba1×

Research Timeline

2026
Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers

The paper proposes using a Physics-Informed Neural Network (PINN) residual as an efficient, physics-guided indicator to guide adaptive mesh refinement (AMR) for classical finite-difference PDE solvers, significantly reducing required degrees of freedom.

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Papers

math.NAcs.CEcs.LGRecentJun 1, 2026

Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers

Henry Kasumba, Ronald Katende

The paper proposes using a Physics-Informed Neural Network (PINN) residual as an efficient, physics-guided indicator to guide adaptive mesh refinement (AMR) for classical finite-difference PDE solvers…

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