Numerical nonlinear complex geometrical optics algorithm for the 3D Calderón problem

JOURNAL ARTICLE published 2014 in Inverse Problems & Imaging

Authors: Fabrice Delbary | ,University of Genoa, Department of Mathematics, Via Dodecaneso 35, 16146 Genoa | Kim Knudsen | ,Danmarks Tekniske Universitet, Department of Applied Mathematics and Computer Science, Matematiktorvet, Building 303 B, DK - 2800 Kgs. Lyngby

Inverse transport with isotropic sources and angularly averaged measurements

JOURNAL ARTICLE published 2008 in Inverse Problems & Imaging

Authors: Guillaume Bal | ,Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027 | Ian Langmore | François Monard | ,Department of Mathematics, University of Washington, Seattle WA, 98195

Alternating algorithms for total variation image reconstruction from random projections

JOURNAL ARTICLE published 2012 in Inverse Problems & Imaging

Authors: Yunhai Xiao | ,Institute of Applied Mathematics, Henan University, Kaifeng 475004 | Junfeng Yang | Xiaoming Yuan | ,Department of Mathematics, Nanjing University, Nanjing, 210093 | ,Department of Mathematics, Hong Kong Baptist University, Hong Kong

A partial inverse problem for the Sturm-Liouville operator on the lasso-graph

JOURNAL ARTICLE published 2019 in Inverse Problems & Imaging

Authors: Chuan-Fu Yang | ,Department of Applied Mathematics, Nanjing University of Sciences and Technology, Nanjing 210094, Jiangsu, China | Natalia Pavlovna Bondarenko | ,Department of Applied Mathematics and Physics, Samara National Research University, Moskovskoye Shosse 34, Samara 443086, Russia | ,Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia

Spectral estimation and inverse initial boundary value problems

JOURNAL ARTICLE published 2010 in Inverse Problems & Imaging

Authors: Sergei Avdonin | ,Department of Mathematics and Statistics, University of Alaska, Fairbanks, AK 99775-6660 | Fritz Gesztesy | Konstantin A. Makarov | ,Department of Mathematics, University of Missouri, Columbia, MO 65211

IPI special issue on 'mathematical/statistical approaches in data science' in the Inverse Problem and Imaging

JOURNAL ARTICLE published 2021 in Inverse Problems & Imaging

Authors: Weihong Guo | ,Department of Mathematics, Applied Mathematics and Statistics Case Western Reserve University 10900 Euclid Avenue Cleveland, Ohio 44106-7058, USA | Yifei Lou | Jing Qin | Ming Yan | ,Department of Mathematical Sciences University of Texas Dallas 800 W. Campbell Rd Richardson, TX 75080, USA | ,Department of Mathematics University of Kentucky Lexington, KY 40506, USA | ,Department of Computational Mathematics, Science and Engineering and Department of Mathematics, Michigan State University, East Lansing MI 48824, USA

Non-Gaussian dynamics of a tumor growth system with immunization

JOURNAL ARTICLE published 2013 in Inverse Problems & Imaging

Authors: Mengli Hao | ,Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710129 | Ting Gao | Jinqiao Duan | Wei Xu | ,Institute for Pure and Applied Mathematics, University of California, Los Angeles, Los Angeles, CA 90095 | ,Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616

Positive definiteness of Diffusion Kurtosis Imaging

JOURNAL ARTICLE published 2012 in Inverse Problems & Imaging

Authors: Shenglong Hu | ,Department of Mathematics, School of Science, Tianjin University, Tianjin 300072 | Zheng-Hai Huang | Hong-Yan Ni | Liqun Qi | ,Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, P.R. | ,Tianjin First Central Hospital, Tianjin 300192 | ,Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon

Preface

JOURNAL ARTICLE published 2010 in Inverse Problems & Imaging

Authors: Tony F. Chan | ,Hong Kong University of Science and Technology, Hong Kong | Yunmei Chen | Nikos Paragios | ,Department of Mathematics, University of Florida, Gainesville, FL 32611 | ,Ecole Centrale de Paris & INRIA Saclay Ile-de-France, Departement of Applied Mathematics, Grande Voie des Vignes, 92 295 Chatenay-Malabry

Special functions

JOURNAL ARTICLE published 2010 in Inverse Problems & Imaging

Authors: Leon Ehrenpreis | ,Department of Mathematics, Temple University, Philadelphia, PA 19122

Learning circulant sensing kernels

JOURNAL ARTICLE published 2014 in Inverse Problems & Imaging

Authors: Yangyang Xu | ,Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005 | Wotao Yin | Stanley Osher | ,Department of Mathematics, University of California, Los Angeles, CA 90095-1555

Mathematical reminiscences

JOURNAL ARTICLE published 2010 in Inverse Problems & Imaging

Authors: Jan Boman | ,Department of Mathematics, Stockholm University, SE-10691 Stockholm

On the scientific work of Victor Isakov

JOURNAL ARTICLE published 2022 in Inverse Problems and Imaging

Authors: Katya Krupchyk | Department of Mathematics, University of California, Irvine, USA | Mikko Salo | Gunther Uhlmann | Jenn-Nan Wang | Department of Mathematics and Statistics, University of Jyvaskyla, Finland | Department of Mathematics, University of Washington, USA | Institute for Advanced Study, Hong Kong University of Science and Technology, China | Institute of Applied Mathematical Sciences, National Taiwan University, Taiwan

An inverse boundary value problem for a nonlinear wave equation

JOURNAL ARTICLE published 2008 in Inverse Problems & Imaging

Authors: Gen Nakamura | ,Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810 | Michiyuki Watanabe | ,Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Yamazaki 2641, Noda, Chiba, 278-8510

A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data

JOURNAL ARTICLE published 2018 in Inverse Problems & Imaging

Authors: Michael V. Klibanov | ,Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA | Dinh-Liem Nguyen | Loc H. Nguyen | Hui Liu | ,Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA | ,Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30302, USA

Regularization of a backwards parabolic equation by fractional operators

JOURNAL ARTICLE published 2019 in Inverse Problems & Imaging

Authors: Barbara Kaltenbacher | ,Department of Mathematics, Alpen-Adria-Universität Klagenfurt, 9020 Klagenfurt, Austria | William Rundell | ,Department of Mathematics, Texas A&M University, College Station, Texas 77843, USA

Recovering boundary shape and conductivity in electrical impedance tomography

JOURNAL ARTICLE published 2013 in Inverse Problems & Imaging

Authors: Ville Kolehmainen | ,University of Eastern Finland, Department of Applied Physics, P.O.Box 1627, 70211 Kuopio | Matti Lassas | Petri Ola | Samuli Siltanen | ,University of Helsinki, Department of Mathematics and Statistics, P.O.Box 68, 00014 University of Helsinki | ,Department of Mathematics and Statistics, P.O. Box 68, 00014 University of Helsinki

Inverse scattering using finite elements and gap reciprocity

JOURNAL ARTICLE published 2007 in Inverse Problems & Imaging

Authors: Peter Monk | ,Department of Mathematics, University of Delaware, Newark, DE 19716 | Jiguang Sun | ,Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901,

Three-dimensional dental X-ray imaging by combination of panoramic and projection data

JOURNAL ARTICLE published 2010 in Inverse Problems & Imaging

Authors: Nuutti Hyvönen | ,Aalto University, Institute of Mathematics, P.O.Box 1100, FI-00076 Aalto | Martti Kalke | Matti Lassas | Henri Setälä | Samuli Siltanen | ,PaloDex Group, P.O.Box 20, FI-04301 Tuusula | ,University of Helsinki, Department of Mathematics and Statistics, FI-00014 Helsinki | ,Department of Mathematics and Statistics, University of Helsinki

Fast algorithms for robust principal component analysis with an upper bound on the rank

JOURNAL ARTICLE published 2021 in Inverse Problems & Imaging

Authors: Ningyu Sha | ,Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, MI 48824, USA | Lei Shi | Ming Yan | ,School of Mathematical Sciences, Shanghai Key Laboratory for Contemporary Applied Mathematics, Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, Fudan University, Shanghai, 200433, China | ,Department of Computational Mathematics, Science and Engineering, Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA