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20092025
most citedThe Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

293 citations · 1.8k across the 110 of their papers we have counts for

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Showing 2012Show all

5 papers · 1 filter

math.NA2012★ 74 cited

A Direct Sampling Method for Inverse Electromagnetic Medium Scattering

Kazufumi Ito, Bangti Jin, Jun Zou

In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric or magnetic near-fiel…

math.NA2012★ 23 cited

A Two-stage Method for Inverse Medium Scattering

Kazufumi Ito, Bangti Jin, Jun Zou

We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from near-field scattered data. The approach consists…

math.NA2012

Error estimates for a semidiscrete finite element method for fractional order parabolic equations

Bangti Jin, Raytcho Lazarov, Zhi Zhou

We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^α_t u - \De u =0$ () with initial condition a…

math.NA2012★ 36 cited

An inverse Sturm-Liouville problem with a fractional derivative

Bangti Jin, William Rundell

In this paper, we numerically investigate an inverse problem of recovering the potential term in a fractional Sturm-Liouville problem from one spectrum. The qualitative behaviors o…

math.NA2012

Gradient-based estimation of Manning's friction coefficient from noisy data

Victor M. Calo, Nathan Collier, Matthias Gehre +2

We study the numerical recovery of Manning's roughness coefficient for the diffusive wave approximation of the shallow water equation. We describe a conjugate gradient method for t…