Partial Differential Equations

concepts · 5 notes linked

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Notes

• Diffusion equation - Wikipedia — Parabolic PDE governing density spread over time
• Laplace operator - Wikipedia — Second-order differential operator divergence of gradient
• Latest Neural Nets Solve World's Hardest Equations Faster Than Ever Before — Neural operators learn mappings between function spaces to solve PDE families
• PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks — Adaptive residual architecture fixing deep PINN training instability
• Presbyopia Correction, Differential Geometry, and Free Boundary PDEs — Willmore functional and differential geometry applied to multifocal lens design