The resolution of the Gibbs phenomenon for spherical harmonics. - Anne Gelb (Math. Comput., 1997)

A Hybrid Approach to Spectral Reconstruction of Piecewise Smooth Functions. - Anne Gelb (J. Sci. Comput., 2000)

Detection of Edges in Spectral Data II. Nonlinear Enhancement. - Anne Gelb; Eitan Tadmor (SIAM J. Numer. Anal., 2000)

Reducing the effects of noise in MRI reconstruction. - Rick Archibald; Anne Gelb (ISBI, 2002)

Reducing the Gibbs ringing artifact in MRI scans while maintaining tissue boundary integrity. - Anne Gelb; Rick Archibald (ISBI, 2002)

Reducing the Effects of Noise in Image Reconstruction. - Rick Archibald; Anne Gelb (J. Sci. Comput., 2002)

Absorbing Boundary Conditions of the Second Order for the Pseudospectral Chebyshev Methods for Wave Propagation. - Anne Gelb; Zdzislaw Jackiewicz; Bruno D. Welfert (J. Sci. Comput., 2002)

A method to reduce the Gibbs ringing artifact in MRI scans while keeping tissue boundary integrity. - Rick Archibald; Anne Gelb (IEEE Trans. Medical Imaging, 2002)

A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK. - Carl L. Gardner; Anne Gelb; Justin Hernandez (VLSI Design, 2002)

Improving tissue segmentation of human brain MRI through preprocessing by the Gegenbauer reconstruction method. - Rick Archibald; Kewei Chen 001; Anne Gelb; Rosemary A. Renaut (NeuroImage, 2003)

Parameter Optimization and Reduction of Round Off Error for the Gegenbauer Reconstruction Method. - Anne Gelb (J. Sci. Comput., 2004)

Modelling Annular Micromixers. - Anne Gelb; James P. Gleeson; Jonathan West; Olivia M. Roche (SIAM J. Appl. Math., 2004)

Improving the accuracy of volumetric segmentation using pre-processing boundary detection and image reconstruction. - Rick Archibald; Jiuxiang Hu; Anne Gelb; Gerald E. Farin (IEEE Trans. Image Process., 2004)

Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling. - Youngsoo Ha; Carl L. Gardner; Anne Gelb; Chi-Wang Shu (J. Sci. Comput., 2005)

Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images. - Rick Archibald; Anne Gelb; Jungho Yoon (SIAM J. Numer. Anal., 2005)

Determining Analyticity for Parameter Optimization of the Gegenbauer Reconstruction Method. - Anne Gelb; Zdzislaw Jackiewicz (SIAM J. Sci. Comput., 2005)

One-sided Post-processing for the Discontinuous Galerkin Method Using ENO Type Stencil Choosing and the Local Edge Detection Method. - Rick Archibald; Anne Gelb; Sigal Gottlieb; Jennifer K. Ryan (J. Sci. Comput., 2006)

Adaptive Edge Detectors for Piecewise Smooth Data Based on the minmod Limiter. - Anne Gelb; Eitan Tadmor (J. Sci. Comput., 2006)

Reconstruction of Piecewise Smooth Functions from Non-uniform Grid Point Data. - Anne Gelb (J. Sci. Comput., 2007)

Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data. - Dennis Cates; Anne Gelb (Numer. Algorithms, 2007)

Detection of signal discontinuities from noisy fourier data. - Adityavikram Viswanathan; Douglas Cochran; Anne Gelb; Dennis M. Cates (ACSCC, 2008)

Detection of Edges in Spectral Data III - Refinement of the Concentration Method. - Anne Gelb; Dennis Cates (J. Sci. Comput., 2008)

Discontinuity detection in multivariate space for stochastic simulations. - Rick Archibald; Anne Gelb; Rishu Saxena; Dongbin Xiu (J. Comput. Phys., 2009)

A Hybrid Fourier-Chebyshev Method for Partial Differential Equations. - Rodrigo B. Platte; Anne Gelb (J. Sci. Comput., 2009)

On Reconstruction from Non-uniform Spectral Data. - Adityavikram Viswanathan; Anne Gelb; Douglas Cochran; Rosemary A. Renaut (J. Sci. Comput., 2010)

Improved Total Variation-Type Regularization Using Higher Order Edge Detectors. - Wolfgang Stefan; Rosemary A. Renaut; Anne Gelb (SIAM J. Imaging Sci., 2010)

Recovering Exponential Accuracy from Non-harmonic Fourier Data Through Spectral Reprojection. - Anne Gelb; Taylor Hines (J. Sci. Comput., 2012)

Special Issue on Mathematical Methods in Medical Imaging - Guest Editors' Introduction. - Anne Gelb; Rosemary A. Renaut; Svetlana Roudenko; Douglas Cochran (J. Sci. Comput., 2012)

Hypothesis Testing for Fourier Based Edge Detection Methods. - Alex Petersen; Anne Gelb; Randall Eubank (J. Sci. Comput., 2012)

Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data. - Wolfgang Stefan; Adityavikram Viswanathan; Anne Gelb; Rosemary A. Renaut (J. Sci. Comput., 2012)

Iterative Design of Concentration Factors for Jump Detection. - Adityavikram Viswanathan; Anne Gelb; Douglas Cochran (J. Sci. Comput., 2012)

Edge detection from truncated Fourier data using spectral mollifiers. - Douglas Cochran; Anne Gelb; Yang Wang 020 (Adv. Comput. Math., 2013)

Edge Detection from Non-Uniform Fourier Data Using the Convolutional Gridding Algorithm. - Adam Martinez; Anne Gelb; Alexander Gutierrez (J. Sci. Comput., 2014)

A Frame Theoretic Approach to the Nonuniform Fast Fourier Transform. - Anne Gelb; Guohui Song (SIAM J. Numer. Anal., 2014)

Image Reconstruction from Fourier Data Using Sparsity of Edges. - Gabriel Wasserman; Rick Archibald; Anne Gelb (J. Sci. Comput., 2015)

Image Reconstruction from Undersampled Fourier Data Using the Polynomial Annihilation Transform. - Rick Archibald; Anne Gelb; Rodrigo B. Platte (J. Sci. Comput., 2016)

A High-Dimensional Inverse Frame Operator Approximation Technique. - Guohui Song; Jacqueline Davis; Anne Gelb (SIAM J. Numer. Anal., 2016)

Using Frame Theoretic Convolutional Gridding for Robust Synthetic Aperture Sonar Imaging. - John McKay 002; Anne Gelb; Vishal Monga; Raghu G. Raj (CoRR, 2017)

Composite SAR imaging using sequential joint sparsity. - Toby Sanders; Anne Gelb; Rodrigo B. Platte (J. Comput. Phys., 2017)

Detecting Edges from Non-uniform Fourier Data Using Fourier Frames. - Anne Gelb; Guohui Song (J. Sci. Comput., 2017)

Edge Detection of Piecewise Smooth Functions from UnderSampled Fourier Data Using Variance Signatures. - Dennis Denker; Anne Gelb (SIAM J. Sci. Comput., 2017)

Joint image formation and two-dimensional autofocusing for synthetic aperture radar data. - Theresa Scarnati; Anne Gelb (J. Comput. Phys., 2018)

Finite Fourier Frame Approximation Using the Inverse Polynomial Reconstruction Method. - Xinjuan Chen; Jae-Hun Jung; Anne Gelb (J. Sci. Comput., 2018)

Using ℓ1 Regularization to Improve Numerical Partial Differential Equation Solvers. - Theresa Scarnati; Anne Gelb; Rodrigo B. Platte (J. Sci. Comput., 2018)

Accelerated Variance Based Joint Sparsity Recovery of Images from Fourier Data. - Theresa Scarnati; Anne Gelb (CoRR, 2019)

Thresholded Non-Uniform Fourier Frame-Based Reconstruction for Stripmap SAR. - John McKay 002; Anne Gelb; Suren Jayasuriya; Vishal Monga (CoRR, 2019)

Preface to the Special Issue in Memory of Professor Saul Abarbanel. - Alina Chertock; Adi Ditkowski; Anne Gelb; Sigal Gottlieb; Semyon Tsynkov (J. Sci. Comput., 2019)

Detecting Edges from Non-uniform Fourier Data via Sparse Bayesian Learning. - Victor Churchill; Anne Gelb (J. Sci. Comput., 2019)

Numerical Analysis for Conservation Laws Using l1 Minimization. - Anne Gelb; X. Hou; Qin Li 007 (J. Sci. Comput., 2019)

Reducing Effects of Bad Data Using Variance Based Joint Sparsity Recovery. - Anne Gelb; Theresa Scarnati (J. Sci. Comput., 2019)

Joint Sparse Recovery Based on Variances. - Ben Adcock; Anne Gelb; Guohui Song; Yi Sui (SIAM J. Sci. Comput., 2019)

High Order Edge Sensors with ℓ1 Regularization for Enhanced Discontinuous Galerkin Methods. - Jan Glaubitz; Anne Gelb (SIAM J. Sci. Comput., 2019)

Empirical Bayesian Inference using Joint Sparsity. - Jiahui Zhang; Anne Gelb; Theresa Scarnati (CoRR, 2021)

Sparsity-Based Recovery of Three-Dimensional Photoacoustic Images from Compressed Single-Shot Optical Detection. - Dylan Green; Anne Gelb; Geoffrey P. Luke (J. Imaging, 2021)

Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions. - Jan Glaubitz; Anne Gelb (J. Sci. Comput., 2021)

Designing Neural Networks for Hyperbolic Conservation Laws. - Zhen Chen; Anne Gelb; Yoonsang Lee 002 (CoRR, 2022)

Sequential Image Recovery from Noisy and Under-Sampled Fourier Data. - Yao Xiao; Jan Glaubitz; Anne Gelb; Guohui Song (J. Sci. Comput., 2022)

Empirical Bayesian Inference Using a Support Informed Prior. - Jiahui Zhang; Anne Gelb; Theresa Scarnati (SIAM/ASA J. Uncertain. Quantification, 2022)

Sampling-based Spotlight SAR Image Reconstruction from Phase History Data for Speckle Reduction and Uncertainty Quantification. - Victor Churchill; Anne Gelb (SIAM/ASA J. Uncertain. Quantification, 2022)

Improving numerical accuracy for the viscous-plastic formulation of sea ice. - Tongtong Li; Anne Gelb; Yoonsang Lee 002 (J. Comput. Phys., 2023)

Generalized Sparse Bayesian Learning and Application to Image Reconstruction. - Jan Glaubitz; Anne Gelb; Guohui Song (SIAM/ASA J. Uncertain. Quantification, 2023)

Sequential Edge Detection Using Joint Hierarchical Bayesian Learning. - Yao Xiao; Anne Gelb; Guohui Song (J. Sci. Comput., 2023)

Generalized sparsity-promoting solvers for Bayesian inverse problems: Versatile sparsifying transforms and unknown noise variances. - Jonathan Lindbloom; Jan Glaubitz; Anne Gelb (CoRR, 2024)

Complex-Valued Signal Recovery using the Bayesian LASSO. - Dylan Green; Jonathan Lindbloom; Anne Gelb (CoRR, 2024)

Entropy stable conservative flux form neural networks. - Lizuo Liu; Tongtong Li; Anne Gelb; Yoonsang Lee 002 (CoRR, 2024)

A structurally informed data assimilation approach for nonlinear partial differential equations. - Tongtong Li; Anne Gelb; Yoonsang Lee 002 (J. Comput. Phys., 2024)

Leveraging Joint Sparsity in Hierarchical Bayesian Learning. - Jan Glaubitz; Anne Gelb (SIAM/ASA J. Uncertain. Quantification, 2024)

Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks. - Zhen Chen; Anne Gelb; Yoonsang Lee 002 (SIAM J. Sci. Comput., 2024)

Learning In-Between Imagery Dynamics via Physical Latent Spaces. - Jihun Han; Yoonsang Lee 002; Anne Gelb (SIAM J. Sci. Comput., 2024)

Complex-Valued Signal Recovery Using a Generalized Bayesian LASSO. - Dylan Green; Jonathan Lindbloom; Anne Gelb (SIAM/ASA J. Uncertain. Quantification, 2025)

A Bayesian Framework for Spectral Reprojection. - Tongtong Li; Anne Gelb (J. Sci. Comput., 2025)

A new sparsity promoting residual transform operator for Lasso regression. - Yao Xiao; Anne Gelb; Aditya Viswanathan (CoRR, 2025)

Neural Entropy-stable conservative flux form neural networks for learning hyperbolic conservation laws. - Lizuo Liu; Lu Zhang; Anne Gelb (CoRR, 2025)

Structurally informed data assimilation in two dimensions. - Tongtong Li; Anne Gelb; Yoonsang Lee 002 (CoRR, 2025)

Non-intrusive structural-preserving sequential data assimilation. - Lizuo Liu; Tongtong Li; Anne Gelb (CoRR, 2025)

Joint Signal Recovery and Uncertainty Quantification via the Residual Prior Transform. - Yao Xiao; Anne Gelb (CoRR, 2025)