Search Results - "JIN, BANGTI"

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping by Jin, Bangti, Li, Buyang, Zhou, Zhi

“…This article concerns second-order time discretization of subdiffusion equations with time-dependent diffusion coefficients. High-order differentiability and…”
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Variational formulation of problems involving fractional order differential operators by JIN, BANGTI, LAZAROV, RAYTCHO, PASCIAK, JOSEPH, RUNDELL, WILLIAM

“…but the solutions are less regular, whereas that for the Caputo case involves different test and trial spaces. The numerical analysis of these problems…”
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Incomplete iterative solution of subdiffusion by Jin, Bangti, Zhou, Zhi

“…In this work, we develop an efficient incomplete iterative scheme for the numerical solution of the subdiffusion model involving a Caputo derivative of order α…”
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Conjugate gradient method for the Robin inverse problem associated with the Laplace equation by Jin, Bangti

“…This paper studies a non‐linear inverse problem associated with the Laplace equation of identifying the Robin coefficient from boundary measurements. A…”
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Fast Bayesian approach for parameter estimation by Jin, Bangti

“…This paper presents two techniques, i.e. the proper orthogonal decomposition (POD) and the stochastic collocation method (SCM), for constructing surrogate…”
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The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction by Jin, Bangti, Marin, Liviu

“…This paper presents the use of the method of fundamental solutions (MFS) for recovering the heat source in steady‐state heat conduction problems from boundary…”
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Iterative Soft/Hard Thresholding With Homotopy Continuation for Sparse Recovery by Jiao, Yuling, Jin, Bangti, Lu, Xiliang

“…In this note, we analyze an iterative soft/hard thresholding algorithm with homotopy continuation for recovering a sparse signal x † from noisy data of a noise…”
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Conditional Variational Autoencoder for Learned Image Reconstruction by Zhang, Chen, Barbano, Riccardo, Jin, Bangti

“…Learned image reconstruction techniques using deep neural networks have recently gained popularity and have delivered promising empirical results. However,…”
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Numerical identification of a Robin coefficient in parabolic problems by JIN, BANGTI, LU, XILIANG

“…This paper studies a regularization approach for an inverse problem of estimating a spatially-and-temporally dependent Robin coefficient arising in the…”
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Hierarchical Bayesian inference for Ill-posed problems via variational method by Jin, Bangti, Zou, Jun

“…This paper investigates a novel approximate Bayesian inference procedure for numerically solving inverse problems. A hierarchical formulation which determines…”
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On nonnegativity preservation in finite element methods for subdiffusion equations by JIN, BANGTI, LAZAROV, RAYTCHO, THOMÉE, VIDAR, ZHOU, ZHI

“…We consider three types of subdiffusion models, namely single-term, multi-term and distributed order fractional diffusion equations, for which the…”
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Group Sparse Recovery via the \ell ^0(\ell ^2) Penalty: Theory and Algorithm by Jiao, Yuling, Jin, Bangti, Lu, Xiliang

“…In this paper, we propose and analyze a novel approach for group sparse recovery. It is based on regularized least squares with an ℓ 0 (ℓ 2 ) penalty, which…”
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A meshless method for some inverse problems associated with the Helmholtz equation by Jin, Bangti, Zheng, Yao

“…In this paper, a new numerical scheme based on the method of fundamental solutions is proposed for the numerical solution of some inverse boundary value…”
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A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction by Jin, Bangti, Zou, Jun

“…This paper studies a Bayesian inference approach to the Cauchy problem in steady‐state heat conduction of probabilistically calibrating the boundary…”
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Inversion of Robin coefficient by a spectral stochastic finite element approach by Jin, Bangti, Zou, Jun

“…This paper investigates a variational approach to the nonlinear stochastic inverse problem of probabilistically calibrating the Robin coefficient from boundary…”
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Numerical estimation of the Robin coefficient in a stationary diffusion equation by Jin, Bangti, Zou, Jun

“…A finite-element method is proposed for the nonlinear inverse problem of estimating the Robin coefficient in a stationary diffusion equation from boundary…”
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Boundary knot method based on geodesic distance for anisotropic problems by Jin, Bangti, Chen, Wen

“…The radial basis function (RBF) collocation techniques for the numerical solution of partial differential equation problems are increasingly popular in recent…”
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Multi-parameter Tikhonov Regularization -- An Augmented Approach by Ito, Kazufumi, Jin, Bangti, Takeuchi, Tomoya

“…We study multi-parameter regularization （multiple penalties） for solving linear inverse problems to promote simultaneously distinct features of the sought-for…”
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Boundary knot method for some inverse problems associated with the Helmholtz equation by Jin, Bangti, Zheng, Yao

“…The boundary knot method is an inherently meshless, integration‐free, boundary‐type, radial basis function collocation technique for the solution of partial…”
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The plane wave method for inverse problems associated with Helmholtz-type equations by Jin, Bangti, Marin, Liviu

“…In this paper, a numerical scheme based on the meshfree plane wave method applied to inverse boundary value problems associated with Helmholtz-type equations…”
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