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20152026
most citedA numerical study of two-phase flow with dynamic capillary pressure using an adaptive moving mesh method

12 citations · 23 across the 7 of their papers we have counts for

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math.NA2026

Convolution Quadrature with Adaptive History Compression for Variable-Order Fractional Reaction--Diffusion Equations

Pu Yuan, Paul Zegeling

We develop a fully implicit fast method for semilinear variable-order fractional reaction--diffusion equations with periodic fractional diffusion and exponential-transition Scarpi…

math.AP2026

Well-posedness and Blow-up in a semilinear heat equation with variable-order Scarpi memory

Pu Yuan, P. A. Zegeling

We study the semilinear heat equation on $\RR^n$, where and the Scarpi order changes exponentially from to , with . We esta…

math.AP2026

Wellposedness and dynamics of two types of reaction--nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

Pu Yuan, Paul A. Zegeling

Reactio-nonlocal diffusion equations model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brow…