A New Numerical Approach to Inverse Transport Equation with Error Analysis
DOI10.1137/17M1142697zbMath1450.65139arXiv1708.01984OpenAlexW2963541216WikidataQ128899952 ScholiaQ128899952MaRDI QIDQ4560171
Publication date: 5 December 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01984
Numerical optimization and variational techniques (65K10) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for integral equations (65R32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boundary value problems for linear first-order PDEs (35F15) Integro-partial differential equations (35R09) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Cites Work
- Unnamed Item
- Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model
- Finite element approximation of the radiative transport equation in a medium with piece-wise constant refractive index
- Inverse transport with isotropic sources and angularly averaged measurements
- An accurate solver for forward and inverse transport
- An inverse boundary value problem for the stationary transport equation
- An improved exact filtered backprojection algorithm for spiral computed tomography
- The Mathematics of Computerized Tomography
- Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation
- A gradient-based method for quantitative photoacoustic tomography using the radiative transfer equation
- Reconstructing absorption and scattering distributions in quantitative photoacoustic tomography
- An approximation error approach for compensating for modelling errors between the radiative transfer equation and the diffusion approximation in diffuse optical tomography
- Inverse Born series for the radiative transport equation
- Inverse transport problems in quantitative PAT for molecular imaging
- Inverse transport theory and applications
- Optical tomography: forward and inverse problems
- Optical tomography in medical imaging
- Online learning in optical tomography: a stochastic approach
- A convergent method for linear half-space kinetic equations
- Stability of stationary inverse transport equation in diffusion scaling
- Stability of Inverse Transport Equation in Diffusion Scaling and Fokker--Planck Limit
- Numerical solution of the identification problem for the attenuated Radon transform
- Computational Methods for Inverse Problems
- Implicit Asymptotic Preserving Method for Linear Transport Equations
- Time-dependent angularly averaged inverse transport
- Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed
- Filtered Backprojection Inversion of the Cone Beam Transform for a General Class of Curves
- Inverse Source Problems in Transport Equations
- Optical tomography as a PDE-constrained optimization problem
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