Ma, Lei; Li, Rongxin; Zeng, Fanhai; Guo, Ling; Karniadakis, George Em Bi-orthogonal fPINN: a physics-informed neural network method for solving time-dependent stochastic fractional PDEs. (English) Zbl 07783920 Commun. Comput. Phys. 34, No. 4, 1133-1176 (2023). MSC: 65M32 68T07 68Q32 65C05 65M06 65D32 49M41 65M12 65M15 35R30 35R60 26A33 35R11 PDFBibTeX XMLCite \textit{L. Ma} et al., Commun. Comput. Phys. 34, No. 4, 1133--1176 (2023; Zbl 07783920) Full Text: DOI arXiv
Cui, Tiangang; Wang, Zhongjian; Zhang, Zhiwen A variational neural network approach for glacier modelling with nonlinear rheology. (English) Zbl 07783915 Commun. Comput. Phys. 34, No. 4, 934-954 (2023). MSC: 65J15 35-XX 68T07 76A05 86A05 PDFBibTeX XMLCite \textit{T. Cui} et al., Commun. Comput. Phys. 34, No. 4, 934--954 (2023; Zbl 07783915) Full Text: DOI arXiv
Huang, Haoxiang; Yang, Vigor; Liu, Yingjie Neural networks with local converging inputs (NNLCI) for solving conservation laws. II: 2D problems. (English) Zbl 07783914 Commun. Comput. Phys. 34, No. 4, 907-933 (2023). MSC: 65L99 65M99 65N99 68T99 76L05 PDFBibTeX XMLCite \textit{H. Huang} et al., Commun. Comput. Phys. 34, No. 4, 907--933 (2023; Zbl 07783914) Full Text: DOI
Wang, Honghui; Lu, Lu; Song, Shiji; Huang, Gao Learning specialized activation functions for physics-informed neural networks. (English) Zbl 07783913 Commun. Comput. Phys. 34, No. 4, 869-906 (2023). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{H. Wang} et al., Commun. Comput. Phys. 34, No. 4, 869--906 (2023; Zbl 07783913) Full Text: DOI arXiv
Zhang, Mei; Yang, Haijian; Yang, Chao; Sun, Shuyu Multilevel constrained pressure-temperature residual preconditioners for large-scale non-isothermal reservoir simulation via restricted additive Schwarz algorithms. (English) Zbl 07783562 Commun. Comput. Phys. 34, No. 3, 837-868 (2023). MSC: 65F08 49M15 65M55 68W10 76S05 90B05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 34, No. 3, 837--868 (2023; Zbl 07783562) Full Text: DOI
Jiao, Yuling; Yang, Jerry Zhijian; Yuan, Cheng; Zhou, Junyu A rate of convergence of weak adversarial neural networks for the second order parabolic PDEs. (English) Zbl 07783561 Commun. Comput. Phys. 34, No. 3, 813-836 (2023). MSC: 62G05 65N12 65N15 68T07 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Commun. Comput. Phys. 34, No. 3, 813--836 (2023; Zbl 07783561) Full Text: DOI
He, Rui; Cui, Junzhi; Yang, Zihao; Zhang, Jieqiong; Guan, Xiaofei Learning invariant representation of multiscale hyperelastic constitutive law from sparse experimental data. (English) Zbl 07738857 Commun. Comput. Phys. 34, No. 2, 392-417 (2023). MSC: 74S99 74S05 74B20 74A20 74E05 68T05 68T07 PDFBibTeX XMLCite \textit{R. He} et al., Commun. Comput. Phys. 34, No. 2, 392--417 (2023; Zbl 07738857) Full Text: DOI
Huang, Haoxiang; Yang, Vigor; Liu, Yingjie Neural networks with local converging inputs (NNLCI) for solving conservation laws. I: 1D problems. (English) Zbl 1519.65018 Commun. Comput. Phys. 34, No. 2, 290-317 (2023). MSC: 65L99 35L65 68T07 76L05 76M20 PDFBibTeX XMLCite \textit{H. Huang} et al., Commun. Comput. Phys. 34, No. 2, 290--317 (2023; Zbl 1519.65018) Full Text: DOI
Zhang, Lulu; Cai, Wei; Xu, Zhi-Qin John A correction and comments on: “Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains”. (English) Zbl 1514.65197 Commun. Comput. Phys. 33, No. 5, 1509-1513 (2023). MSC: 65N99 35Q68 68T07 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Comput. Phys. 33, No. 5, 1509--1513 (2023; Zbl 1514.65197) Full Text: DOI
Yang, Hanhui; Li, Juncheng; Lui, Lok Ming; Ying, Shihui; Shi, Jun; Zeng, Tieyong Fast MRI reconstruction via edge attention. (English) Zbl 07708299 Commun. Comput. Phys. 33, No. 5, 1409-1431 (2023). MSC: 68U03 68U10 92C55 65D18 68T07 PDFBibTeX XMLCite \textit{H. Yang} et al., Commun. Comput. Phys. 33, No. 5, 1409--1431 (2023; Zbl 07708299) Full Text: DOI arXiv
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Hu, Wei-Fan; Lin, Te-Sheng; Tseng, Yu-Hau; Lai, Ming-Chih An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. (English) Zbl 1514.65150 Commun. Comput. Phys. 33, No. 4, 1090-1105 (2023). MSC: 65N06 65N99 35J25 68T07 PDFBibTeX XMLCite \textit{W.-F. Hu} et al., Commun. Comput. Phys. 33, No. 4, 1090--1105 (2023; Zbl 1514.65150) Full Text: DOI arXiv
Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. (English) Zbl 1509.65145 Commun. Comput. Phys. 33, No. 2, 596-627 (2023). MSC: 65N75 68T07 82B24 PDFBibTeX XMLCite \textit{S. Wu} et al., Commun. Comput. Phys. 33, No. 2, 596--627 (2023; Zbl 1509.65145) Full Text: DOI arXiv
Liu, Bofeng; Zhu, Lixing; Yang, Zixuan; He, Guowei Quantum implementation of numerical methods for convection-diffusion equations: toward computational fluid dynamics. (English) Zbl 1524.76264 Commun. Comput. Phys. 33, No. 2, 425-451 (2023). MSC: 76M20 65M25 68Q12 81P68 PDFBibTeX XMLCite \textit{B. Liu} et al., Commun. Comput. Phys. 33, No. 2, 425--451 (2023; Zbl 1524.76264) Full Text: DOI
Meng, Yan; Ming, Pingbing A new function space from Barron class and application to neural network approximation. (English) Zbl 1505.65294 Commun. Comput. Phys. 32, No. 5, 1361-1400 (2022). MSC: 65N30 65M12 35J25 41A46 68T07 PDFBibTeX XMLCite \textit{Y. Meng} and \textit{P. Ming}, Commun. Comput. Phys. 32, No. 5, 1361--1400 (2022; Zbl 1505.65294) Full Text: DOI
Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. A new artificial neural network method for solving Schrödinger equations on unbounded domains. (English) Zbl 1498.65189 Commun. Comput. Phys. 32, No. 4, 1039-1060 (2022). MSC: 65N06 65N12 68T07 PDFBibTeX XMLCite \textit{J. P. Wilson} et al., Commun. Comput. Phys. 32, No. 4, 1039--1060 (2022; Zbl 1498.65189) Full Text: DOI
Li, Lingfeng; Tai, Xue-Cheng; Yang, Jiang Generalization error analysis of neural networks with gradient based regularization. (English) Zbl 07612898 Commun. Comput. Phys. 32, No. 4, 1007-1038 (2022). MSC: 68T07 PDFBibTeX XMLCite \textit{L. Li} et al., Commun. Comput. Phys. 32, No. 4, 1007--1038 (2022; Zbl 07612898) Full Text: DOI arXiv
Sheng, Hailong; Yang, Chao PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. (English) Zbl 1498.65155 Commun. Comput. Phys. 32, No. 4, 980-1006 (2022). MSC: 65M55 35K55 65M60 68T07 PDFBibTeX XMLCite \textit{H. Sheng} and \textit{C. Yang}, Commun. Comput. Phys. 32, No. 4, 980--1006 (2022; Zbl 1498.65155) Full Text: DOI arXiv
Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J. Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. (English) Zbl 1500.76071 Commun. Comput. Phys. 32, No. 3, 715-736 (2022). MSC: 76M99 76D05 68T05 PDFBibTeX XMLCite \textit{H. Ma} et al., Commun. Comput. Phys. 32, No. 3, 715--736 (2022; Zbl 1500.76071) Full Text: DOI arXiv
Feng, Xiaodong; Zeng, Li; Zhou, Tao Solving time dependent Fokker-Planck equations via temporal normalizing flow. (English) Zbl 1495.65187 Commun. Comput. Phys. 32, No. 2, 401-423 (2022). MSC: 65M75 65C30 68T07 PDFBibTeX XMLCite \textit{X. Feng} et al., Commun. Comput. Phys. 32, No. 2, 401--423 (2022; Zbl 1495.65187) Full Text: DOI arXiv
Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng Frame invariance and scalability of neural operators for partial differential equations. (English) Zbl 1495.65202 Commun. Comput. Phys. 32, No. 2, 336-363 (2022). MSC: 65N22 65Z05 65Y20 68T07 PDFBibTeX XMLCite \textit{M. I. Zafar} et al., Commun. Comput. Phys. 32, No. 2, 336--363 (2022; Zbl 1495.65202) Full Text: DOI arXiv
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E., Weinan; Xu, Zhi-Qin John; Ma, Zheng MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. (English) Zbl 1497.35088 Commun. Comput. Phys. 32, No. 2, 299-335 (2022). MSC: 35C15 35J05 35Q20 35Q49 45K05 65D15 68Q32 68T05 68T07 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Comput. Phys. 32, No. 2, 299--335 (2022; Zbl 1497.35088) Full Text: DOI arXiv
Dahmen, Wolfgang; Wang, Min; Wang, Zhu Nonlinear reduced DNN models for state estimation. (English) Zbl 1492.65291 Commun. Comput. Phys. 32, No. 1, 1-40 (2022). MSC: 65N20 65N21 35J15 68T07 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Commun. Comput. Phys. 32, No. 1, 1--40 (2022; Zbl 1492.65291) Full Text: DOI arXiv
Chen, Jingrun; Jin, Shi; Lyu, Liyao A consensus-based global optimization method with adaptive momentum estimation. (English) Zbl 1508.68283 Commun. Comput. Phys. 31, No. 4, 1296-1316 (2022). MSC: 68T05 90C15 90C26 90C90 PDFBibTeX XMLCite \textit{J. Chen} et al., Commun. Comput. Phys. 31, No. 4, 1296--1316 (2022; Zbl 1508.68283) Full Text: DOI arXiv
Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian A rate of convergence of physics informed neural networks for the linear second order elliptic PDEs. (English) Zbl 1491.65118 Commun. Comput. Phys. 31, No. 4, 1272-1295 (2022). MSC: 65N12 65N15 65D07 62G05 68T07 92B20 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Commun. Comput. Phys. 31, No. 4, 1272--1295 (2022; Zbl 1491.65118) Full Text: DOI arXiv
Guo, Hailong; Yang, Xu Deep unfitted Nitsche method for elliptic interface problems. (English) Zbl 1493.65203 Commun. Comput. Phys. 31, No. 4, 1162-1179 (2022). MSC: 65N30 68T07 65C05 35J25 35A15 65K05 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, Commun. Comput. Phys. 31, No. 4, 1162--1179 (2022; Zbl 1493.65203) Full Text: DOI arXiv
Wan, Xiaoliang; Wei, Shuangqing VAE-KRnet and its applications to variational Bayes. (English) Zbl 1486.62096 Commun. Comput. Phys. 31, No. 4, 1049-1082 (2022). MSC: 62G07 62C10 62-08 68T07 PDFBibTeX XMLCite \textit{X. Wan} and \textit{S. Wei}, Commun. Comput. Phys. 31, No. 4, 1049--1082 (2022; Zbl 1486.62096) Full Text: DOI arXiv
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian Convergence rate analysis for deep Ritz method. (English) Zbl 1491.65117 Commun. Comput. Phys. 31, No. 4, 1020-1048 (2022). MSC: 65N12 62G05 65N15 68T07 35A15 35J15 35J25 35R02 92B20 PDFBibTeX XMLCite \textit{C. Duan} et al., Commun. Comput. Phys. 31, No. 4, 1020--1048 (2022; Zbl 1491.65117) Full Text: DOI arXiv
Huang, Jianguo; Wang, Haoqin; Zhou, Tao An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. (English) Zbl 1482.65226 Commun. Comput. Phys. 31, No. 3, 966-986 (2022). MSC: 65N99 65N25 65N30 68T07 PDFBibTeX XMLCite \textit{J. Huang} et al., Commun. Comput. Phys. 31, No. 3, 966--986 (2022; Zbl 1482.65226) Full Text: DOI arXiv
Tucny, Jean-Michel; Vidal, David; Leclaire, Sébastien; Bertrand, François Kinetic slip boundary condition for isothermal rarefied gas flows through static non-planar geometries based on the regularized lattice-Boltzmann method. (English) Zbl 1492.76091 Commun. Comput. Phys. 31, No. 3, 816-868 (2022). MSC: 76M28 76P05 76N15 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{J.-M. Tucny} et al., Commun. Comput. Phys. 31, No. 3, 816--868 (2022; Zbl 1492.76091) Full Text: DOI
Chang, Zhipeng; Li, Ke; Zou, Xiufen; Xiang, Xueshuang High order deep neural network for solving high frequency partial differential equations. (English) Zbl 07493166 Commun. Comput. Phys. 31, No. 2, 370-397 (2022). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{Z. Chang} et al., Commun. Comput. Phys. 31, No. 2, 370--397 (2022; Zbl 07493166) Full Text: DOI
Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B. A deep learning modeling framework to capture mixing patterns in reactive-transport systems. (English) Zbl 1507.35182 Commun. Comput. Phys. 31, No. 1, 188-223 (2022). MSC: 35Q35 35Q79 76V05 80A32 92E20 35K57 35-04 35K51 76M10 65M60 65M06 65N30 68T07 68Q32 PDFBibTeX XMLCite \textit{N. V. Jagtap} et al., Commun. Comput. Phys. 31, No. 1, 188--223 (2022; Zbl 1507.35182) Full Text: DOI arXiv
Kong, Wenjia; Li, Haochen; Yu, Chen; Xia, Jiangjiang; Kang, Yanyan; Zhang, Pingwen A deep spatio-temporal forecasting model for multi-site weather prediction post-processing. (English) Zbl 1482.86030 Commun. Comput. Phys. 31, No. 1, 131-153 (2022). MSC: 86A10 68T07 86A32 PDFBibTeX XMLCite \textit{W. Kong} et al., Commun. Comput. Phys. 31, No. 1, 131--153 (2022; Zbl 1482.86030) Full Text: DOI
Li, Jingshi; Chen, Song; Cao, Yanzhao; Sun, Zhao A neural network approach to sampling based learning control for quantum system with uncertainty. (English) Zbl 07493150 Commun. Comput. Phys. 30, No. 5, 1453-1473 (2021). MSC: 93E20 81Q93 93C41 68T07 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Comput. Phys. 30, No. 5, 1453--1473 (2021; Zbl 07493150) Full Text: DOI
Ströfer, Carlos A. Michelén; Zhang, Xin-Lei; Xiao, Heng Ensemble gradient for learning turbulence models from indirect observations. (English) Zbl 1491.76040 Commun. Comput. Phys. 30, No. 5, 1269-1289 (2021). MSC: 76F99 76M99 76D55 76-10 68T05 PDFBibTeX XMLCite \textit{C. A. M. Ströfer} et al., Commun. Comput. Phys. 30, No. 5, 1269--1289 (2021; Zbl 1491.76040) Full Text: DOI arXiv
Gao, Zhen; Liu, Qi; Hesthaven, Jan S.; Wang, Bao-Shan; Don, Wai Sun; Wen, Xiao Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability. (English) Zbl 1528.65070 Commun. Comput. Phys. 30, No. 1, 97-123 (2021). MSC: 65M60 65M99 65D12 65L04 65L06 68T07 76N15 76L05 76E17 76E30 35L65 35Q35 PDFBibTeX XMLCite \textit{Z. Gao} et al., Commun. Comput. Phys. 30, No. 1, 97--123 (2021; Zbl 1528.65070) Full Text: DOI
Basani, Jasvith Raj; Bhattacherjee, Aranya Continuous-variable deep quantum neural networks for flexible learning of structured classical information. (English) Zbl 1499.81030 Commun. Comput. Phys. 30, No. 4, 1216-1231 (2021). MSC: 81P68 81P45 68T07 PDFBibTeX XMLCite \textit{J. R. Basani} and \textit{A. Bhattacherjee}, Commun. Comput. Phys. 30, No. 4, 1216--1231 (2021; Zbl 1499.81030) Full Text: DOI arXiv
Bull, Jonathan; Engblom, Stefan Distributed and adaptive fast multipole method in three dimensions. (English) Zbl 1473.65004 Commun. Comput. Phys. 30, No. 4, 959-984 (2021). MSC: 65B10 65Y05 65Y10 65Y20 68W15 PDFBibTeX XMLCite \textit{J. Bull} and \textit{S. Engblom}, Commun. Comput. Phys. 30, No. 4, 959--984 (2021; Zbl 1473.65004) Full Text: DOI arXiv
Wight, Colby L.; Zhao, Jia Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. (English) Zbl 07419706 Commun. Comput. Phys. 29, No. 3, 930-954 (2021). MSC: 68Txx 65Mxx PDFBibTeX XMLCite \textit{C. L. Wight} and \textit{J. Zhao}, Commun. Comput. Phys. 29, No. 3, 930--954 (2021; Zbl 07419706) Full Text: DOI arXiv
Xu, Hao; Chang, Haibin; Zhang, Dongxiao DL-PDE: deep-learning based data-driven discovery of partial differential equations from discrete and noisy data. (English) Zbl 1528.65093 Commun. Comput. Phys. 29, No. 3, 698-728 (2021). MSC: 65M99 35E99 68T07 62F15 62J07 35Q53 PDFBibTeX XMLCite \textit{H. Xu} et al., Commun. Comput. Phys. 29, No. 3, 698--728 (2021; Zbl 1528.65093) Full Text: DOI arXiv
Wang, Yufei; Shen, Ziju; Long, Zichao; Dong, Bin Learning to discretize: solving 1D scalar conservation laws via deep reinforcement learning. (English) Zbl 1473.65124 Commun. Comput. Phys. 28, No. 5, 2158-2179 (2020). MSC: 65M06 68T05 49N90 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Comput. Phys. 28, No. 5, 2158--2179 (2020; Zbl 1473.65124) Full Text: DOI arXiv
Wang, Bo; Zhang, Wenzhong; Cai, Wei Multi-scale deep neural network (MscaleDNN) methods for oscillatory Stokes flows in complex domains. (English) Zbl 1473.35541 Commun. Comput. Phys. 28, No. 5, 2139-2157 (2020). MSC: 35Q68 65N99 68T07 76M99 PDFBibTeX XMLCite \textit{B. Wang} et al., Commun. Comput. Phys. 28, No. 5, 2139--2157 (2020; Zbl 1473.35541) Full Text: DOI arXiv
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin Convolution neural network shock detector for numerical solution of conservation laws. (English) Zbl 1528.65092 Commun. Comput. Phys. 28, No. 5, 2075-2108 (2020). MSC: 65M99 65M06 65N06 35L65 35L67 68T07 PDFBibTeX XMLCite \textit{Z. Sun} et al., Commun. Comput. Phys. 28, No. 5, 2075--2108 (2020; Zbl 1528.65092) Full Text: DOI
Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. (English) Zbl 1473.65349 Commun. Comput. Phys. 28, No. 5, 2042-2074 (2020). MSC: 65N99 65M99 65M12 65N12 35J25 35K20 68T07 PDFBibTeX XMLCite \textit{Y. Shin} et al., Commun. Comput. Phys. 28, No. 5, 2042--2074 (2020; Zbl 1473.65349) Full Text: DOI arXiv
Jagtap, Ameya D.; Karniadakis, George Em Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. (English) Zbl 07419158 Commun. Comput. Phys. 28, No. 5, 2002-2041 (2020). MSC: 65N55 65M55 65N21 35E05 35E15 76L05 74B05 68T07 68Q32 35J05 35Q35 PDFBibTeX XMLCite \textit{A. D. Jagtap} and \textit{G. E. Karniadakis}, Commun. Comput. Phys. 28, No. 5, 2002--2041 (2020; Zbl 07419158) Full Text: DOI
Liu, Ziqi; Cai, Wei; Xu, Zhi-Qin John Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains. (English) Zbl 1473.65348 Commun. Comput. Phys. 28, No. 5, 1970-2001 (2020); correction ibid. 33, No. 5, 1509-1513 (2023). MSC: 65N99 35Q68 68T07 PDFBibTeX XMLCite \textit{Z. Liu} et al., Commun. Comput. Phys. 28, No. 5, 1970--2001 (2020; Zbl 1473.65348) Full Text: DOI arXiv
Liu, Bangde; Lin, Guang High-dimensional nonlinear multi-fidelity model with gradient-free active subspace method. (English) Zbl 1477.62094 Commun. Comput. Phys. 28, No. 5, 1937-1969 (2020). MSC: 62G08 60G15 68T05 PDFBibTeX XMLCite \textit{B. Liu} and \textit{G. Lin}, Commun. Comput. Phys. 28, No. 5, 1937--1969 (2020; Zbl 1477.62094) Full Text: DOI
Li, Xi-An; Xu, Zhi-Qin John; Zhang, Lei A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales. (English) Zbl 1474.65445 Commun. Comput. Phys. 28, No. 5, 1886-1906 (2020). MSC: 65N30 35J66 41A46 68T07 PDFBibTeX XMLCite \textit{X.-A. Li} et al., Commun. Comput. Phys. 28, No. 5, 1886--1906 (2020; Zbl 1474.65445) Full Text: DOI arXiv
Li, Yingzhou; Cheng, Xiuyuan; Lu, Jianfeng Butterfly-net: optimal function representation based on convolutional neural networks. (English) Zbl 1507.68271 Commun. Comput. Phys. 28, No. 5, 1838-1885 (2020). MSC: 68T07 15A23 41A25 65D05 65F10 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Comput. Phys. 28, No. 5, 1838--1885 (2020; Zbl 1507.68271) Full Text: DOI arXiv
Deng, Yixiang; Lin, Guang; Yang, Xiu Multifidelity data fusion via gradient-enhanced Gaussian process regression. (English) Zbl 1477.62238 Commun. Comput. Phys. 28, No. 5, 1812-1837 (2020). MSC: 62M10 62F15 60G15 68T05 PDFBibTeX XMLCite \textit{Y. Deng} et al., Commun. Comput. Phys. 28, No. 5, 1812--1837 (2020; Zbl 1477.62238) Full Text: DOI arXiv
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun Deep network approximation characterized by number of neurons. (English) Zbl 1507.68276 Commun. Comput. Phys. 28, No. 5, 1768-1811 (2020). MSC: 68T07 41A25 PDFBibTeX XMLCite \textit{Z. Shen} et al., Commun. Comput. Phys. 28, No. 5, 1768--1811 (2020; Zbl 1507.68276) Full Text: DOI arXiv
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng Frequency principle: Fourier analysis sheds light on deep neural networks. (English) Zbl 1507.68279 Commun. Comput. Phys. 28, No. 5, 1746-1767 (2020). MSC: 68T07 PDFBibTeX XMLCite \textit{Z.-Q. J. Xu} et al., Commun. Comput. Phys. 28, No. 5, 1746--1767 (2020; Zbl 1507.68279) Full Text: DOI arXiv
Xu, Jinchao Finite neuron method and convergence analysis. (English) Zbl 1473.65350 Commun. Comput. Phys. 28, No. 5, 1707-1745 (2020). MSC: 65N99 62M45 65N30 68T07 65N12 65N15 PDFBibTeX XMLCite \textit{J. Xu}, Commun. Comput. Phys. 28, No. 5, 1707--1745 (2020; Zbl 1473.65350) Full Text: DOI arXiv
Lu, Lu; Shin, Yeonjong; Su, Yanhui; Karniadakis, George Em Dying ReLU and initialization: theory and numerical examples. (English) Zbl 1507.68248 Commun. Comput. Phys. 28, No. 5, 1671-1706 (2020). MSC: 68T05 68T07 62M45 PDFBibTeX XMLCite \textit{L. Lu} et al., Commun. Comput. Phys. 28, No. 5, 1671--1706 (2020; Zbl 1507.68248) Full Text: DOI arXiv
E, Weinan Machine learning and computational mathematics. (English) Zbl 1473.00035 Commun. Comput. Phys. 28, No. 5, 1639-1670 (2020). MSC: 00A69 00A71 68T05 PDFBibTeX XMLCite \textit{W. E}, Commun. Comput. Phys. 28, No. 5, 1639--1670 (2020; Zbl 1473.00035) Full Text: DOI arXiv
Lin, Jingbo; Zhang, Wenlu; Liu, Pengfei; Cao, Jintao; Li, Ding Automatic generation of finite difference field solvers for toroidally confined plasmas. (English) Zbl 1476.76055 Commun. Comput. Phys. 28, No. 3, 1176-1188 (2020). MSC: 76M20 76X05 68W30 PDFBibTeX XMLCite \textit{J. Lin} et al., Commun. Comput. Phys. 28, No. 3, 1176--1188 (2020; Zbl 1476.76055) Full Text: DOI
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Frank, Florian; Knabner, Peter FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. IV: Generic problem framework and model-coupling interface. (English) Zbl 1528.65081 Commun. Comput. Phys. 28, No. 2, 827-876 (2020). MSC: 65M60 65M06 65L06 65N30 65H10 65M12 65M15 65-04 35L20 68N30 76B07 76S05 86A05 PDFBibTeX XMLCite \textit{B. Reuter} et al., Commun. Comput. Phys. 28, No. 2, 827--876 (2020; Zbl 1528.65081) Full Text: DOI arXiv
Fu, Lin; Hu, Xiangyu; Adams, Nikolaus A. Adaptive anisotropic unstructured mesh generation method based on fluid relaxation analogy. (English) Zbl 1474.65338 Commun. Comput. Phys. 27, No. 5, 1275-1308 (2020). MSC: 65M50 51F99 68U05 34C40 65M60 65E05 PDFBibTeX XMLCite \textit{L. Fu} et al., Commun. Comput. Phys. 27, No. 5, 1275--1308 (2020; Zbl 1474.65338) Full Text: DOI
Li, Bo; Tang, Shanshan; Yu, Haijun Better approximations of high dimensional smooth functions by deep neural networks with rectified power units. (English) Zbl 1474.65031 Commun. Comput. Phys. 27, No. 2, 379-411 (2020). MSC: 65D15 65M12 65M15 68T07 PDFBibTeX XMLCite \textit{B. Li} et al., Commun. Comput. Phys. 27, No. 2, 379--411 (2020; Zbl 1474.65031) Full Text: DOI arXiv
Hou, Dianming; Azaïez, Mejdi; Xu, Chuanju Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117 Commun. Comput. Phys. 26, No. 5, 1415-1443 (2019). MSC: 65M70 65M06 65N35 33C45 26A33 35R11 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{D. Hou} et al., Commun. Comput. Phys. 26, No. 5, 1415--1443 (2019; Zbl 1518.65117) Full Text: DOI
Fang, Jun; Gao, Xingyu; Song, Haifeng Implementation of the projector augmented-wave method: the use of atomic datasets in the standard PAW-XML format. (English) Zbl 1490.81089 Commun. Comput. Phys. 26, No. 4, 1196-1223 (2019). MSC: 81Q99 33F05 68U99 PDFBibTeX XMLCite \textit{J. Fang} et al., Commun. Comput. Phys. 26, No. 4, 1196--1223 (2019; Zbl 1490.81089) Full Text: DOI
Han, Yihui; Xie, Xiaoping Robust globally divergence-free weak Galerkin finite element methods for natural convection problems. (English) Zbl 07418048 Commun. Comput. Phys. 26, No. 4, 1039-1070 (2019). MSC: 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{Y. Han} and \textit{X. Xie}, Commun. Comput. Phys. 26, No. 4, 1039--1070 (2019; Zbl 07418048) Full Text: DOI arXiv
Hsu, Ting-Jui; Jin, Fengping; Seidel, Christian; Neukart, Florian; De Raedt, Hans; Michielsen, Kristel Quantum annealing with anneal path control: application to 2-SAT problems with known energy landscapes. (English) Zbl 1504.68074 Commun. Comput. Phys. 26, No. 3, 928-946 (2019). MSC: 68Q12 81P68 81Q05 PDFBibTeX XMLCite \textit{T.-J. Hsu} et al., Commun. Comput. Phys. 26, No. 3, 928--946 (2019; Zbl 1504.68074) Full Text: DOI arXiv
Yang, Haijian; Hwang, Feng-Nan A nonlinear elimination preconditioner for fully coupled space-time solution algorithm with applications to high-Rayleigh number thermal convective flow problems. (English) Zbl 1490.76077 Commun. Comput. Phys. 26, No. 3, 749-767 (2019). MSC: 76D05 65F08 49M15 65M55 68W10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{F.-N. Hwang}, Commun. Comput. Phys. 26, No. 3, 749--767 (2019; Zbl 1490.76077) Full Text: DOI
Zhang, Bo; Debuhr, Jackson; Niedzielski, Drake; Mayolo, Silvio; Lu, Benzhuo; Sterling, Thomas DASHMM accelerated adaptive fast multipole Poisson-Boltzmann solver on distributed memory architecture. (English) Zbl 07417534 Commun. Comput. Phys. 25, No. 4, 1235-1258 (2019). MSC: 65-XX 68-XX 92C05 68N19 PDFBibTeX XMLCite \textit{B. Zhang} et al., Commun. Comput. Phys. 25, No. 4, 1235--1258 (2019; Zbl 07417534) Full Text: DOI arXiv
Cavaglià, Marco; Staats, Kai; Gill, Teerth Finding the origin of noise transients in LIGO data with machine learning. (English) Zbl 07417523 Commun. Comput. Phys. 25, No. 4, 963-987 (2019). MSC: 83C35 68T05 PDFBibTeX XMLCite \textit{M. Cavaglià} et al., Commun. Comput. Phys. 25, No. 4, 963--987 (2019; Zbl 07417523) Full Text: DOI arXiv
Michelén Ströfer, Carlos; Wu, Jin-Long; Xiao, Heng; Paterson, Eric Data-driven, physics-based feature extraction from fluid flow fields using convolutional neural networks. (English) Zbl 1475.76075 Commun. Comput. Phys. 25, No. 3, 625-650 (2019). MSC: 76M99 76G25 68T05 PDFBibTeX XMLCite \textit{C. Michelén Ströfer} et al., Commun. Comput. Phys. 25, No. 3, 625--650 (2019; Zbl 1475.76075) Full Text: DOI arXiv
Yang, Wenli; Huang, Zhongyi; Zhu, Wei An efficient tailored finite point method for Rician denoising and deblurring. (English) Zbl 1476.94011 Commun. Comput. Phys. 24, No. 4, 1169-1195 (2018). MSC: 94A08 65K10 68U10 PDFBibTeX XMLCite \textit{W. Yang} et al., Commun. Comput. Phys. 24, No. 4, 1169--1195 (2018; Zbl 1476.94011) Full Text: DOI
Olivares-Quiroz, Luis; González-Olvera, Marcos A. Minimum energy conformations of self-interacting polymer chains via multipopulation genetic algorithms (MpGA). (English) Zbl 1476.92031 Commun. Comput. Phys. 24, No. 3, 810-829 (2018). MSC: 92D20 68T20 92C05 82C22 82B30 82D60 PDFBibTeX XMLCite \textit{L. Olivares-Quiroz} and \textit{M. A. González-Olvera}, Commun. Comput. Phys. 24, No. 3, 810--829 (2018; Zbl 1476.92031) Full Text: DOI
Han, Jiequn; Zhang, Linfeng; Car, Roberto; E, Weinan Deep potential: a general representation of a many-body potential energy surface. (English) Zbl 1488.81038 Commun. Comput. Phys. 23, No. 3, 629-639 (2018). MSC: 81V55 92E10 68T99 PDFBibTeX XMLCite \textit{J. Han} et al., Commun. Comput. Phys. 23, No. 3, 629--639 (2018; Zbl 1488.81038) Full Text: DOI arXiv
Xiao, Jiaying; Wang, Tianshuang; Peng, Kuan; Zhang, Xiaokai; Wang, Bo Lithography of aluminum coated PVDF annular array for photoacoustic endoscopy. (English) Zbl 1488.78007 Commun. Comput. Phys. 23, No. 2, 561-571 (2018). MSC: 78A46 78-10 78A45 76Q05 68M07 92C55 PDFBibTeX XMLCite \textit{J. Xiao} et al., Commun. Comput. Phys. 23, No. 2, 561--571 (2018; Zbl 1488.78007) Full Text: DOI
Behan, Connor PyCFTBoot: a flexible interface for the conformal bootstrap. (English) Zbl 1488.65136 Commun. Comput. Phys. 22, No. 1, 1-38 (2017). MSC: 65K05 68W30 90C22 PDFBibTeX XMLCite \textit{C. Behan}, Commun. Comput. Phys. 22, No. 1, 1--38 (2017; Zbl 1488.65136) Full Text: DOI arXiv
Huang, Yu-Mei; Yan, Hui-Yin; Zeng, Tieyong Multiplicative noise removal based on unbiased Box-Cox transformation. (English) Zbl 1488.94029 Commun. Comput. Phys. 22, No. 3, 803-828 (2017). MSC: 94A08 62F10 65K05 68U10 PDFBibTeX XMLCite \textit{Y.-M. Huang} et al., Commun. Comput. Phys. 22, No. 3, 803--828 (2017; Zbl 1488.94029) Full Text: DOI
Chan, Chiu Ling; Anitescu, Cosmin; Zhang, Yongjie; Rabczuk, Timon Two and three dimensional image registration based on B-spline composition and level sets. (English) Zbl 1475.68422 Commun. Comput. Phys. 21, No. 2, 600-622 (2017). MSC: 68U10 65D07 92C55 PDFBibTeX XMLCite \textit{C. L. Chan} et al., Commun. Comput. Phys. 21, No. 2, 600--622 (2017; Zbl 1475.68422) Full Text: DOI
Zhang, Bo; Huang, Jingfang; Pitsianis, Nikos P.; Sun, Xiaobai RECFMM: recursive parallelization of the adaptive fast multipole method for Coulomb and screened Coulomb interactions. (English) Zbl 1373.78001 Commun. Comput. Phys. 20, No. 2, 534-550 (2016). MSC: 78-04 68W10 PDFBibTeX XMLCite \textit{B. Zhang} et al., Commun. Comput. Phys. 20, No. 2, 534--550 (2016; Zbl 1373.78001) Full Text: DOI Link
Lin, Yu-Tuan; Shih, Yin-Tzer; Tsai, Chih-Ching An anisotropic convection-diffusion model using tailored finite point method for image denoising and compression. (English) Zbl 1373.94253 Commun. Comput. Phys. 19, No. 5, 1357-1374 (2016). MSC: 94A08 65M70 94A12 68U10 PDFBibTeX XMLCite \textit{Y.-T. Lin} et al., Commun. Comput. Phys. 19, No. 5, 1357--1374 (2016; Zbl 1373.94253) Full Text: DOI Link
Yin, Tao; Hu, Guanghui; Xu, Liwei Near-field imaging point-like scatterers and extended elastic solid in a fluid. (English) Zbl 1373.74057 Commun. Comput. Phys. 19, No. 5, 1317-1342 (2016). MSC: 74J25 35Q74 35R30 68U10 74F10 74J20 76N99 94A08 PDFBibTeX XMLCite \textit{T. Yin} et al., Commun. Comput. Phys. 19, No. 5, 1317--1342 (2016; Zbl 1373.74057) Full Text: DOI
Wang, Lingdi; Chen, Wenbin; Cheng, Jin Analyses and applications of the second-order cross correlation in the passive imaging. (English) Zbl 1373.94426 Commun. Comput. Phys. 19, No. 5, 1191-1220 (2016). MSC: 94A08 35L10 35R30 35Q94 35R60 68U10 78A46 PDFBibTeX XMLCite \textit{L. Wang} et al., Commun. Comput. Phys. 19, No. 5, 1191--1220 (2016; Zbl 1373.94426) Full Text: DOI
Li, Zhi; Zeng, Tieyong A two-stage image segmentation model for multi-channel images. (English) Zbl 1373.94246 Commun. Comput. Phys. 19, No. 4, 904-926 (2016). MSC: 94A08 68U10 65D18 65K10 90C25 90C48 PDFBibTeX XMLCite \textit{Z. Li} and \textit{T. Zeng}, Commun. Comput. Phys. 19, No. 4, 904--926 (2016; Zbl 1373.94246) Full Text: DOI
Zhang, Futao; Xu, Yan; Chen, Falai; Guo, Ruihan Interior penalty discontinuous Galerkin based isogeometric analysis for Allen-Cahn equations on surfaces. (English) Zbl 1388.65113 Commun. Comput. Phys. 18, No. 5, 1380-1416 (2015). MSC: 65M60 65D17 35B25 35K59 68U07 80A22 PDFBibTeX XMLCite \textit{F. Zhang} et al., Commun. Comput. Phys. 18, No. 5, 1380--1416 (2015; Zbl 1388.65113) Full Text: DOI
Gimbutas, Zydrunas; Greengard, Leslie Computational software: simple FMM libraries for electrostatics, slow viscous flow, and frequency-domain wave propagation. (English) Zbl 1388.65003 Commun. Comput. Phys. 18, No. 2, 516-528 (2015). MSC: 65-04 65Y15 65N99 68U05 68U07 PDFBibTeX XMLCite \textit{Z. Gimbutas} and \textit{L. Greengard}, Commun. Comput. Phys. 18, No. 2, 516--528 (2015; Zbl 1388.65003) Full Text: DOI
Carlone, Raffaele; Figari, Rodolfo; Negulescu, Claudia A model of a quantum particle in a quantum environment: a numerical study. (English) Zbl 1373.81253 Commun. Comput. Phys. 18, No. 1, 247-262 (2015). MSC: 81S22 65M06 35Q41 68U20 PDFBibTeX XMLCite \textit{R. Carlone} et al., Commun. Comput. Phys. 18, No. 1, 247--262 (2015; Zbl 1373.81253) Full Text: DOI arXiv
Zhang, Laiping; Li, Ming; Liu, Wei; He, Xin An implicit algorithm for high-order DG/FV schemes for compressible flows on 2D arbitrary grids. (English) Zbl 1373.76109 Commun. Comput. Phys. 17, No. 1, 287-316 (2015). MSC: 76M10 76M12 65C20 65L60 65M08 65M60 68U20 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Comput. Phys. 17, No. 1, 287--316 (2015; Zbl 1373.76109) Full Text: DOI
Zhou, Jie; Chen, Long; Huang, Yunqing; Wang, Wansheng An efficient two-grid scheme for the Cahn-Hilliard equation. (English) Zbl 1373.76111 Commun. Comput. Phys. 17, No. 1, 127-145 (2015). MSC: 76M10 65N30 65N55 68W25 PDFBibTeX XMLCite \textit{J. Zhou} et al., Commun. Comput. Phys. 17, No. 1, 127--145 (2015; Zbl 1373.76111) Full Text: DOI
Qiao, Motong; Wang, Wei; Ng, Michael Multi-phase texture segmentation using Gabor features histograms based on Wasserstein distance. (English) Zbl 1373.94335 Commun. Comput. Phys. 15, No. 5, 1480-1500 (2014). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{M. Qiao} et al., Commun. Comput. Phys. 15, No. 5, 1480--1500 (2014; Zbl 1373.94335) Full Text: DOI
Sarkar, Subhra; Witham, Shawn; Zhang, Jie; Zhenirovskyy, Maxim; Rocchia, Walter; Alexov, Emil DelPhi web server: A comprehensive online suite for electrostatic calculations of biological macromolecules and their complexes. (English) Zbl 1373.92003 Commun. Comput. Phys. 13, No. 1, 269-284 (2013). MSC: 92-04 68U35 92-08 PDFBibTeX XMLCite \textit{S. Sarkar} et al., Commun. Comput. Phys. 13, No. 1, 269--284 (2013; Zbl 1373.92003) Full Text: DOI Link
Balaž, Antun; Vidanović, Ivana; Stojiljković, Danica; Vudragović, Dušan; Belić, Aleksandar; Bogojević, Aleksandar SPEEDUP code for calculation of transition amplitudes via the effective action approach. (English) Zbl 1373.81006 Commun. Comput. Phys. 11, No. 3, 739-755 (2012). MSC: 81-08 81-04 81Q05 81S40 81V70 68W30 PDFBibTeX XMLCite \textit{A. Balaž} et al., Commun. Comput. Phys. 11, No. 3, 739--755 (2012; Zbl 1373.81006) Full Text: DOI arXiv
Narayan, Akil; Xiu, Dongbin Distributional sensitivity for uncertainty quantification. (English) Zbl 1364.65009 Commun. Comput. Phys. 10, No. 1, 140-160 (2011). MSC: 65C20 60G35 62P35 68T37 PDFBibTeX XMLCite \textit{A. Narayan} and \textit{D. Xiu}, Commun. Comput. Phys. 10, No. 1, 140--160 (2011; Zbl 1364.65009) Full Text: DOI Link
Wang, Li-Lian; Gu, Ying Efficient dual algorithms for image segmentation using TV-Allen-Cahn type models. (English) Zbl 1364.94101 Commun. Comput. Phys. 9, No. 4, 859-877 (2011). MSC: 94A08 68U10 65N22 65N55 65T50 PDFBibTeX XMLCite \textit{L.-L. Wang} and \textit{Y. Gu}, Commun. Comput. Phys. 9, No. 4, 859--877 (2011; Zbl 1364.94101) Full Text: DOI
Shetty, Dinesh A.; Shen, Jie; Chandy, Abhilash J.; Frankel, Steven H. A pressure-correction scheme for rotational Navier-Stokes equations and its application to rotating turbulent flows. (English) Zbl 1364.52010 Commun. Comput. Phys. 9, No. 3, 740-755 (2011). MSC: 52B10 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{D. A. Shetty} et al., Commun. Comput. Phys. 9, No. 3, 740--755 (2011; Zbl 1364.52010) Full Text: DOI
Grinberg, Leopold; Karniadakis, George Em Extrapolation-based acceleration of iterative solvers: application to simulation of 3D flows. (English) Zbl 1364.52009 Commun. Comput. Phys. 9, No. 3, 607-626 (2011). MSC: 52B10 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{L. Grinberg} and \textit{G. E. Karniadakis}, Commun. Comput. Phys. 9, No. 3, 607--626 (2011; Zbl 1364.52009) Full Text: DOI
Zeng, Tieyong; Li, Xiaolong; Ng, Michael Alternating minimization method for total variation based wavelet shrinkage model. (English) Zbl 1364.65123 Commun. Comput. Phys. 8, No. 5, 976-994 (2010). MSC: 65K05 65J20 68U10 90C25 65T50 PDFBibTeX XMLCite \textit{T. Zeng} et al., Commun. Comput. Phys. 8, No. 5, 976--994 (2010; Zbl 1364.65123) Full Text: DOI Link
Seferoglu, N. The study of the three-dimensional spin-3/2 Ising model on a cellular automaton. (English) Zbl 1364.82014 Commun. Comput. Phys. 7, No. 4, 779-792 (2010). MSC: 82B20 68Q80 PDFBibTeX XMLCite \textit{N. Seferoglu}, Commun. Comput. Phys. 7, No. 4, 779--792 (2010; Zbl 1364.82014) Full Text: DOI Link
Saxena, Rishu; Gelb, Anne; Mittelmann, Hans A high order method for determining the edges in the gradient of a function. (English) Zbl 1365.65044 Commun. Comput. Phys. 5, No. 2-4, 694-711 (2009). MSC: 65D18 68U10 94A08 PDFBibTeX XMLCite \textit{R. Saxena} et al., Commun. Comput. Phys. 5, No. 2--4, 694--711 (2009; Zbl 1365.65044)
Gelb, Anne; Cates, Dennis Segmentation of images from Fourier spectral data. (English) Zbl 1364.94095 Commun. Comput. Phys. 5, No. 2-4, 326-349 (2009). MSC: 94A08 65D17 68U10 65T50 PDFBibTeX XMLCite \textit{A. Gelb} and \textit{D. Cates}, Commun. Comput. Phys. 5, No. 2--4, 326--349 (2009; Zbl 1364.94095)
Huang, Yu-Mei; Ng, Michael K. Lipschitz and total-variational regularization for blind deconvolution. (English) Zbl 1364.94097 Commun. Comput. Phys. 4, No. 1, 195-206 (2008). MSC: 94A08 68U05 52B10 65R30 PDFBibTeX XMLCite \textit{Y.-M. Huang} and \textit{M. K. Ng}, Commun. Comput. Phys. 4, No. 1, 195--206 (2008; Zbl 1364.94097)
Ke, Jinyun; Gong, Tao; Wang, William S-Y Language change and social networks. (English) Zbl 1199.91167 Commun. Comput. Phys. 3, No. 4, 935-949 (2008). MSC: 91F20 68T37 68T50 05C82 91D30 PDFBibTeX XMLCite \textit{J. Ke} et al., Commun. Comput. Phys. 3, No. 4, 935--949 (2008; Zbl 1199.91167)
Yang, Fan; Zeng, Xuan; Su, Yangfeng; Zhou, Dian RLC equivalent circuit synthesis method for structure-preserved reduced-order model of interconnect in VLSI. (English) Zbl 1199.94126 Commun. Comput. Phys. 3, No. 2, 376-396 (2008). MSC: 94C05 93A15 68U07 68U20 PDFBibTeX XMLCite \textit{F. Yang} et al., Commun. Comput. Phys. 3, No. 2, 376--396 (2008; Zbl 1199.94126)
Sachdev, J. S.; Groth, C. P. T. A mesh adjustment scheme for embedded boundaries. (English) Zbl 1164.74549 Commun. Comput. Phys. 2, No. 6, 1095-1124 (2007). MSC: 74S10 76M12 65M50 68W10 PDFBibTeX XMLCite \textit{J. S. Sachdev} and \textit{C. P. T. Groth}, Commun. Comput. Phys. 2, No. 6, 1095--1124 (2007; Zbl 1164.74549)
Khamayseh, A.; Hansen, G. Use of the spatial \(k\)D-tree in computational physics applications. (English) Zbl 1164.65319 Commun. Comput. Phys. 2, No. 3, 545-576 (2007). MSC: 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{A. Khamayseh} and \textit{G. Hansen}, Commun. Comput. Phys. 2, No. 3, 545--576 (2007; Zbl 1164.65319)