Article
Engineering, Electrical & Electronic
Xiaojing Kuang, Zhixiang Huang, Ming Fang, Qi Qi, Mingshen Chen, Xianliang Wu
Summary: This paper proposes a novel high-order symplectic compact FDTD method and validates its stability and accuracy in optical waveguide modal analysis. The method shows a high numerical dispersion accuracy and stability in simulating high-frequency situations, making it suitable for efficiently simulating electrically large and longitudinally invariant optical devices.
IEEE PHOTONICS JOURNAL
(2022)
Article
Mathematics, Applied
Raynold Tan, Andrew Ooi
Summary: This article proposes a quasi-linear semi-discrete analysis of shock capturing schemes in two dimensional wavenumber space. A hybrid scheme that combines the merits of different schemes was developed and tested. The scheme provides similar or better resolution compared to the baseline schemes.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Geochemistry & Geophysics
Jinwei Fang, Hanming Chen, Hui Zhou, Qingchen Zhang, Lide Wang
Summary: This paper presents a 3-D elastic full-waveform inversion (FWI) method using a temporal fourth-order finite-difference (FD) approximation. By solving a new elastic equation and introducing a novel inversion procedure, the accuracy of the inversion results is improved.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Yuto Kato
Summary: This study presents the use of a balanced-type circular disk resonator (BCDR) with waveguide interfaces for material characterization in the D-band. The BCDR covers ultrafine and brittle coaxial lines with waveguide interfaces to address robustness issues. It provides broadband complex permittivity and conductivity measurements of low loss substrate materials over the entire D-band, and a modified modal analysis improves the accuracy of determining the permittivity from the measured resonant frequency
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2023)
Article
Mathematics
Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Samad Noeiaghdam, Maryam Molayi
Summary: This paper introduces two nonstandard finite difference methods to solve an SIR epidemic model with superior accuracy compared to existing standard methods.
Article
Mathematics, Applied
Sebastiano Boscarino, Jingmei Qiu, Giovanni Russo, Tao Xiong
Summary: In this paper, a new semi-implicit scheme is proposed to solve the high order problems in gas dynamics equations. The scheme combines the semi-implicit temporal integrator and finite difference WENO schemes for high order accuracy in time and space. Special IMEX schemes are constructed to handle non-well-prepared initial conditions, and the asymptotic preserving and accuracy properties are proven.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Physics, Multidisciplinary
Mahmut Modanli, Fatih Ozbag
Summary: This paper focuses on the study of two-dimensional hyperbolic partial differential telegraph equation, exact and approximate numerical solutions, error analysis, stability estimates of finite difference schemes, and numerical tests.
PRAMANA-JOURNAL OF PHYSICS
(2022)
Article
Mathematics, Applied
Chen Zhu, Bingyin Zhang, Hongfei Fu, Jun Liu
Summary: This paper considers a three-dimensional time-dependent Riesz space-fractional diffusion equation and proposes an ADI difference scheme, which is proven to be unconditionally stable and with second-order accuracy. Numerical experiments demonstrate the effectiveness and efficiency of the method for large-scale modeling and simulations. Additionally, a linearized ADI scheme for the nonlinear Riesz space-fractional diffusion equation is developed and tested.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Geochemistry & Geophysics
Hossein S. Aghamiry, Ali Gholami, Stephane Operto
Summary: This article discusses the efficient implementation and optimization strategies of frequency-domain full-waveform inversion technology, including several variants that handle the wave equation as a weak constraint, as well as some mathematical methods and computational techniques involved in the inversion process.
Article
Optics
Yuanqiang Peng, Xiaojie Guo, Chao Lu, Zhaohui Li
Summary: Mode-division multiplexing (MDM) technology has made significant progress in the past decade, and has boosted the transmission capacity. We propose and demonstrate a broadband few-mode optical parametric amplifier (OPA) using a multimode thin-film periodically poled lithium niobate (PPLN) waveguide with multiple quasi-phase matching (QPM). The few-mode OPA relies on intramodal and intermodal difference-frequency generation (DFG) processes, achieving strong amplification of MDM signals using a single-frequency fundamental-mode pump. The results show that amplification of signals carrying three modes can be achieved with >11.2 dB gain per mode over a 41 nm bandwidth, with low differential modal gain and negligible nonlinear modal crosstalk.
OPTICS COMMUNICATIONS
(2023)
Article
Mathematics, Applied
M. T. Malheiro, Gaspar J. Machado, Stephane Clain
Summary: A method is proposed to relax the stability constraint and enable larger global time steps for all nodes. The approach involves optimizing both time and space schemes in a nonlinear procedure to increase numerical efficiency and reduce computational time. By adjusting schemes based on physical data and local function regularity, accurate numerical approximations without non-physical oscillations are achieved.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Zhangrong Qin, Wenbo Chen, Chunyan Qin, Xin Xu, Binghai Wen
Summary: In this paper, the origin and suppression of spurious currents near curved interfaces in multiphase simulations are investigated. It is found that directional deviations in the nonideal force due to the difference error and insufficient isotropy of the discrete gradient operator lead to spurious currents. High-order finite difference schemes produce more accurate results than high-order isotropic difference schemes.
COMPUTERS & FLUIDS
(2023)
Article
Mathematics, Applied
Kapil K. Garima, Kapil K. Sharma
Summary: This article investigates two-dimensional elliptic singularly perturbed problems with positive and negative shifts, where the solution may exhibit regular/parabolic/degenerate or interior boundary layers. The goal of this article is to develop numerical techniques for solving these problems with regular boundary layers. Three numerical schemes are proposed based on the fitted operator and fitted mesh finite-difference methods. The convergence of the fitted operator finite difference method is analyzed, and the effect of shift terms on the solution behavior is demonstrated through numerical experiments.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2023)
Article
Mathematics, Applied
Stephane Clain, Rui M. S. Pereira, Paulo A. Pereira, Diogo Lopes
Summary: In this paper, a new paradigm for finite differences numerical methods is proposed, based on compact schemes that provide high order accurate approximations of a smooth solution. The method involves approximations of derivatives and the construction of structural equations derived from a matrix that collects variables belonging to a small stencil. Numerical schemes combine physical equations and structural relations. The spectral resolution of common structural equations is analyzed, and numerical tests are performed to address stability and accuracy issues for linear and non-linear problems.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Magnus Svard, Jan Nordstrom
Summary: This study extends the convergence results of single-domain energy-stable high-order finite difference schemes to domains split into several grid blocks, showing that reflective boundary conditions have the same convergence properties. The findings also hold in multiple dimensions, as indicated briefly.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Electrical & Electronic
Haibo Liang, Jianwei Mu, Richard Soref, Xun Li, Wei-Ping Huang
IEEE JOURNAL OF QUANTUM ELECTRONICS
(2015)
Article
Engineering, Electrical & Electronic
Haibo Liang, Richard Soref, Jianwei Mu, Arka Majumdar, Xun Li, Wei-Ping Huang
JOURNAL OF LIGHTWAVE TECHNOLOGY
(2015)
Article
Optics
Richard Soref, Joshua Hendrickson, Haibo Liang, Arka Majumdar, Jianwei Mu, Xun Li, Wei-Ping Huang
Article
Optics
Tao Wang, Xun Li, Jianwei Mu, Guangming He
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2018)
Article
Engineering, Electrical & Electronic
Lin Zhang, Jianwei Mu, Vivek Singh, Anuradha M. Agarwal, Lionel C. Kimerling, Jurgen Michel
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS
(2014)
Article
Optics
Haibo Liang, Richard Soref, Jianwei Mu
Article
Engineering, Biomedical
Jianwei Mu, Lingyun Dai, Jin-Xing Liu, Junliang Shang, Fangzhou Xu, Xiang Liu, Shasha Yuan
Summary: The paper presents an automatic epileptic seizure detection method based on GNMF and BLDA, which effectively enhances the classification accuracy of EEG data through discrete wavelet decomposition and feature extraction. The method demonstrates high sensitivity and low false alarm rate in testing.
BIOCYBERNETICS AND BIOMEDICAL ENGINEERING
(2021)
Article
Engineering, Electrical & Electronic
Feng Gao, Jianwei Mu, Xiangyu Han, Yiheng Yang, Junwu Zhou
Summary: The paper proposes an improved genetic algorithm-based evolution test to accelerate the evaluation of performance limits in autonomous driving, and measures the scenario complexity through the Analytic Hierarchy Process.
AUTOMOTIVE INNOVATION
(2022)
Article
Engineering, Biomedical
Shasha Yuan, Jianwei Mu, Weidong Zhou, Ling-Yun Dai, Jin-Xing Liu, Juan Wang, Xiang Liu
Summary: An automatic seizure detection method based on kernel-based robust probabilistic collaborative representation (ProCRC) and graph-regularized non-negative matrix factorization (GNMF) is proposed in this work. The method achieves high sensitivity and specificity by preprocessing and dimension reduction of EEG signals, and using robust ProCRC for representing test samples.
IEEE TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING
(2022)
Proceedings Paper
Engineering, Electrical & Electronic
Chongjin Xie, Peter Magill, David Li, Yinxing Zhang, Long Zheng, Anbin Wang, Yun Bao, Chunchun Sui, Matthew Streshinsky, Jianwei Mu, Sigeng Yang, Wanju Sun
2020 OPTICAL FIBER COMMUNICATIONS CONFERENCE AND EXPOSITION (OFC)
(2020)
Article
Optics
Joshua Hendrickson, Haibo Liang, Richard Soref, Jianwei Mu
Article
Optics
Haibo Liang, Richard Soref, Jianwei Mu, Xun Li, Wei-Ping Huang
Proceedings Paper
Engineering, Electrical & Electronic
Jianwei Mu, Qingyi Guo, Lanxin Deng, Haibo Liang
PHOTONICS NORTH 2014
(2014)
Proceedings Paper
Engineering, Electrical & Electronic
Haibo Liang, Jianwei Mu, Xun Li, Wei-Ping Huang
PHOTONICS NORTH 2014
(2014)
Proceedings Paper
Engineering, Electrical & Electronic
Qingyi Guo, Lanxin Deng, Jianwei Mu, Xun Li, Wei-Ping Huang
PHOTONICS NORTH 2014
(2014)
