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Special Issue: Mathematical and computational studies of inverse problems and metamaterials

Guest Editors

Prof. Hongyu Liu
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China
Email: hongyliu@cityu.edu.hk


Prof. Huaian Diao
School of Mathematics, Jilin University, Changchun, China
Email: diao@jlu.edu.cn

Manuscript Topics


This special issue is dedicated to original research, as well as review-cum-expository research on mathematical and computational studies of inverse problems and metamaterials. Topics from inverse problems, imaging, mathematical aspects of metamaterials, mathematical finance and economics, numerical analysis and scientific computing, data mining and machine learning are particularly welcome.


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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 June 2024

Published Papers(17)

Research article
Real-time tracking of moving objects from scattering matrix in real-world microwave imaging
Seong-Ho Son,  Kwang-Jae Lee,  Won-Kwang Park
2024, Volume 9, Issue 6: 13570-13588. doi: 10.3934/math.2024662
Abstract HTML PDF Cited (4) Viewed (1238)
Research article
Shape reconstruction of acoustic obstacle with linear sampling method and neural network
Bowen Tang,  Xiaoying Yang,  Lin Su
2024, Volume 9, Issue 6: 13607-13623. doi: 10.3934/math.2024664
Abstract HTML PDF Viewed (1160)
Research article
An inverse problem to estimate simultaneously the heat source strength for multiple integrated circuit chips on a printed circuit board
Cheng-Hung Huang,  Ya-Rou Zhong
2024, Volume 9, Issue 4: 8848-8867. doi: 10.3934/math.2024431
Abstract HTML PDF Viewed (1176)
Research article
A fractional dual-phase-lag thermoelastic model for a solid half-space with changing thermophysical properties involving two-temperature and non-singular kernels
Ibrahim-Elkhalil Ahmed,  Ahmed E. Abouelregal,  Doaa Atta,  Meshari Alesemi
2024, Volume 9, Issue 3: 6964-6992. doi: 10.3934/math.2024340
Abstract HTML PDF Cited (1) Viewed (1240)
Research article
Inversion formulas for quarter-spherical Radon transforms
Gyeongha Hwang,  Sunghwan Moon
2023, Volume 8, Issue 12: 31258-31267. doi: 10.3934/math.20231600
Abstract HTML PDF Cited (1) Viewed (1284)
Research article
Mathematical model to investigate transmission dynamics of COVID-19 with vaccinated class
Mdi Begum Jeelani,  Abeer S Alnahdi,  Rahim Ud Din,  Hussam Alrabaiah,  Azeem Sultana
2023, Volume 8, Issue 12: 29932-29955. doi: 10.3934/math.20231531
Abstract HTML PDF Viewed (1241)
Research article
On a SEIR-type model of COVID-19 using piecewise and stochastic differential operators undertaking management strategies
Mdi Begum Jeelani,  Kamal Shah,  Hussam Alrabaiah,  Abeer S. Alnahdi
2023, Volume 8, Issue 11: 27268-27290. doi: 10.3934/math.20231395
Abstract HTML PDF Cited (2) Viewed (1502)
Research article
A weighted online regularization for a fully nonparametric model with heteroscedasticity
Lei Hu
2023, Volume 8, Issue 11: 26991-27008. doi: 10.3934/math.20231381
Abstract HTML PDF Viewed (1357)
Research article
An optimal fractional-order accumulative Grey Markov model with variable parameters and its application in total energy consumption
Dewang Li,  Meilan Qiu,  Shuiping Yang,  Chao Wang,  Zhongliang Luo
2023, Volume 8, Issue 11: 26425-26443. doi: 10.3934/math.20231349
Abstract HTML PDF Cited (1) Viewed (1424)
Research article
Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices
Dizhen Ao,  Yan Liu,  Feng Wang,  Lanlan Liu
2023, Volume 8, Issue 11: 25815-25844. doi: 10.3934/math.20231317
Abstract HTML PDF Viewed (1370)
Research article
Physical phenomena of spectral relationships via quadratic third kind mixed integral equation with discontinuous kernel
Sharifah E. Alhazmi,  M. A. Abdou,  M. Basseem
2023, Volume 8, Issue 10: 24379-24400. doi: 10.3934/math.20231243
Abstract HTML PDF Cited (3) Viewed (1471)
Research article
Stability for discrete time waveform relaxation methods based on Euler schemes
Junjiang Lai,  Zhencheng Fan
2023, Volume 8, Issue 10: 23713-23733. doi: 10.3934/math.20231206
Abstract HTML PDF Viewed (1524)
Research article
Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco
Marouane Karim,  Abdelfatah Kouidere,  Mostafa Rachik,  Kamal Shah,  Thabet Abdeljawad
2023, Volume 8, Issue 10: 23500-23518. doi: 10.3934/math.20231194
Abstract HTML PDF Cited (3) Viewed (1574)
Research article
New numerical method for solving optimal control problem for the stationary Navier-Stokes equations
Sameh Abidi,  Jamil Satouri
2023, Volume 8, Issue 9: 21484-21500. doi: 10.3934/math.20231095
Abstract HTML PDF Viewed (1858)
Research article
Heart disease detection using inertial Mann relaxed CQ algorithms for split feasibility problems
Suthep Suantai,  Pronpat Peeyada,  Andreea Fulga,  Watcharaporn Cholamjiak
2023, Volume 8, Issue 8: 18898-18918. doi: 10.3934/math.2023962
Abstract HTML PDF Cited (1) Viewed (1586)
Research article
Exponential inequalities and a strong law of large numbers for END random variables under sub-linear expectations
Haiye Liang,  Feng Sun
2023, Volume 8, Issue 7: 15585-15599. doi: 10.3934/math.2023795
Abstract HTML PDF Viewed (1535)
Research article
A discrete unified gas kinetic scheme on unstructured grids for viscid compressible flows and its parallel algorithm
Lei Xu,  Zhengzheng Yan,  Rongliang Chen
2023, Volume 8, Issue 4: 8829-8846. doi: 10.3934/math.2023443
Abstract HTML PDF Viewed (1627)
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