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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Agus L. Soenjaya

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Preprint Oct 2026

Beyond the reduced Landau--Lifshitz--Bloch equation: Singular potential, global well-posedness, and micromagnetic limits

We study the full nonlinear mean-field Landau--Lifshitz--Bloch equation in micromagnetics arising from Garanin's spin-polarisation model [D. Garanin. Fokker-Planck and Landau-Lifshitz-Bloch equations for classical ferromagnets. Phys. Rev. B, 55 (1997)] prior to the usual near-equilibrium reduction. The equation combine...

Agus L. Soenjaya · 0 citations
Preprint Sep 2026

Rate of convergence of a fully discrete structure-preserving midpoint scheme for the stochastic Landau--Lifshitz--Gilbert equation

The stochastic Landau--Lifshitz--Gilbert (sLLG) equation is a strongly nonlinear stochastic PDE with a non-convex pointwise constraint arising in the theory of micromagnetics. We analyse a fully discrete, structure-preserving finite element approximation of the sLLG equation with coloured multiplicative Stratonovich no...

Agus L. Soenjaya · 0 citations

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