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math.NA2025
A kernel compression method for distributed-order fractional partial differential equations
Jonas Beddrich, Barbara Wohlmuth
We propose a kernel compression method for solving Distributed-Order (DO) Fractional Partial Differential Equations (DOFPDEs) at the cost of solving corresponding local-in-time PDE…
math.NA2024
Numerical simulation of dilute polymeric fluids with memory effects in the turbulent flow regime
Jonas Beddrich, Stephan B. Lunowa, Barbara Wohlmuth
We address the numerical challenge of solving the Hookean-type time-fractional Navier--Stokes--Fokker--Planck equation, a history-dependent system of PDEs defined on the Cartesian…