DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.
Numerical solution of the Navier–Stokes equations.Mathematics of Computation, 22(104):745–762
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Adjoint equations with Tikhonov regularization enable gradient-based reconstruction of perfusion parameters from DCE-US data in advection-diffusion and two-compartment models, validated on synthetic and in vivo data.
A least-squares meshfree method for incompressible flows introduces a local primal-dual grid to achieve consistent staggered discretization and local divergence-free velocities.
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Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
DMK extended to rectangular cuboids with arbitrary periodicity via localized octree evaluations on cubical tilings and Fourier-space root-level summation with truncated kernels for reduced periodicity.
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Adjoint-based Perfusion Estimation from Dynamic Contrast-Enhanced Ultrasound: Advection-Diffusion and Two-Compartment Models
Adjoint equations with Tikhonov regularization enable gradient-based reconstruction of perfusion parameters from DCE-US data in advection-diffusion and two-compartment models, validated on synthetic and in vivo data.
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