Nascimento, Adyllyson H.; Rosa, Eugênio S. A high-order localized artificial diffusivity scheme for discontinuity capturing on 1D drift-flux models for gas-liquid flows. (English) Zbl 07792915 Adv. Appl. Math. Mech. 16, No. 1, 47-74 (2024). MSC: 65-XX 35L65 65M06 76L05 76M20 76N15 PDFBibTeX XMLCite \textit{A. H. Nascimento} and \textit{E. S. Rosa}, Adv. Appl. Math. Mech. 16, No. 1, 47--74 (2024; Zbl 07792915) Full Text: DOI
Hu, Zejing; Smirnova, M. N.; Smirnov, N. N.; Zhang, Yongliang; Zhu, Zuojin Impacts of down-up Hill segment on the threshold of shock formation of ring road vehicular flow. (English) Zbl 1524.76038 Adv. Appl. Math. Mech. 15, No. 5, 1315-1334 (2023). MSC: 76A30 PDFBibTeX XMLCite \textit{Z. Hu} et al., Adv. Appl. Math. Mech. 15, No. 5, 1315--1334 (2023; Zbl 1524.76038) Full Text: DOI
Liu, Hongliang; Zhang, Yameng; Li, Haodong; Li, Shoufu Stability and convergence of the canonical Euler splitting method for nonlinear composite stiff functional differential-algebraic equations. (English) Zbl 1513.65209 Adv. Appl. Math. Mech. 14, No. 6, 1276-1301 (2022). MSC: 65L03 65L04 65L80 PDFBibTeX XMLCite \textit{H. Liu} et al., Adv. Appl. Math. Mech. 14, No. 6, 1276--1301 (2022; Zbl 1513.65209) Full Text: DOI
Izem, Nouh; Seaid, Mohammed A well-balanced Runge-Kutta discontinuous Galerkin method for multilayer shallow water equations with non-flat bottom topography. (English) Zbl 1499.65496 Adv. Appl. Math. Mech. 14, No. 3, 725-758 (2022). MSC: 65M60 35L65 76B15 86A05 PDFBibTeX XMLCite \textit{N. Izem} and \textit{M. Seaid}, Adv. Appl. Math. Mech. 14, No. 3, 725--758 (2022; Zbl 1499.65496) Full Text: DOI
Li, Junpu; Fu, Zhuojia; Gu, Yan; Qin, Qing-Hua Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics. (English) Zbl 1499.65721 Adv. Appl. Math. Mech. 14, No. 2, 315-343 (2022). MSC: 65N80 65N35 65N38 35J05 76Q05 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Appl. Math. Mech. 14, No. 2, 315--343 (2022; Zbl 1499.65721) Full Text: DOI
Rajput, Uttam Singh; Singh, Krishna Mohan A fifth order alternative mapped WENO scheme for nonlinear hyperbolic conservation laws. (English) Zbl 1499.65462 Adv. Appl. Math. Mech. 14, No. 1, 275-298 (2022). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{U. S. Rajput} and \textit{K. M. Singh}, Adv. Appl. Math. Mech. 14, No. 1, 275--298 (2022; Zbl 1499.65462) Full Text: DOI
Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou A stabilizer-free weak Galerkin finite element method for the Stokes equations. (English) Zbl 1499.65657 Adv. Appl. Math. Mech. 14, No. 1, 181-201 (2022). MSC: 65N30 65N15 76D07 35B45 35J50 35Q35 PDFBibTeX XMLCite \textit{Y. Feng} et al., Adv. Appl. Math. Mech. 14, No. 1, 181--201 (2022; Zbl 1499.65657) Full Text: DOI
Shu, Shi; Liu, Menghuan; Xu, Xiaowen; Yue, Xiaoqiang; Li, Shengguo Algebraic multigrid block triangular preconditioning for multidimensional three-temperature radiation diffusion equations. (English) Zbl 1488.65076 Adv. Appl. Math. Mech. 13, No. 5, 1203-1226 (2021). MSC: 65F10 65F08 65F15 65N55 65Y05 PDFBibTeX XMLCite \textit{S. Shu} et al., Adv. Appl. Math. Mech. 13, No. 5, 1203--1226 (2021; Zbl 1488.65076) Full Text: DOI
Liang, Jiuyang; Gao, Zixuan; Xu, Zhenli A kernel-independent sum-of-Gaussians method by de La Vallée-Poussin sums. (English) Zbl 1488.65029 Adv. Appl. Math. Mech. 13, No. 5, 1126-1141 (2021). MSC: 65D15 42A16 PDFBibTeX XMLCite \textit{J. Liang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1126--1141 (2021; Zbl 1488.65029) Full Text: DOI arXiv
Fang, Yaoli An implicit-explicit scheme for the radiation hydrodynamics. (English) Zbl 1488.65241 Adv. Appl. Math. Mech. 13, No. 2, 404-425 (2021). MSC: 65M06 65N08 80A21 76N15 76X05 35Q31 35L65 PDFBibTeX XMLCite \textit{Y. Fang}, Adv. Appl. Math. Mech. 13, No. 2, 404--425 (2021; Zbl 1488.65241) Full Text: DOI
Yuan, Yuan; Sun, Shuli; Chen, Pu; Yuan, Mingwu Adaptive relaxation strategy on basic iterative methods for solving linear systems with single and multiple right-hand sides. (English) Zbl 1488.65078 Adv. Appl. Math. Mech. 13, No. 2, 378-403 (2021). MSC: 65F10 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Adv. Appl. Math. Mech. 13, No. 2, 378--403 (2021; Zbl 1488.65078) Full Text: DOI
Liu, Hongliang; Song, Jingwen; Liu, Huini; Xu, Jie; Li, Lijuan Legendre neural network for solving linear variable coefficients delay differential-algebraic equations with weak discontinuities. (English) Zbl 1488.65211 Adv. Appl. Math. Mech. 13, No. 1, 101-118 (2021). MSC: 65L99 65L80 65L03 68T07 65L20 PDFBibTeX XMLCite \textit{H. Liu} et al., Adv. Appl. Math. Mech. 13, No. 1, 101--118 (2021; Zbl 1488.65211) Full Text: DOI
Hao, Yuxin; Gu, Xiaojun; Zhang, Wei; Chen, Jie Transient response of high dimensional nonlinear dynamic system for a rotating cantilever twisted plate. (English) Zbl 1499.74064 Adv. Appl. Math. Mech. 12, No. 6, 1542-1564 (2020). MSC: 74K20 74B20 PDFBibTeX XMLCite \textit{Y. Hao} et al., Adv. Appl. Math. Mech. 12, No. 6, 1542--1564 (2020; Zbl 1499.74064) Full Text: DOI
Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei; Niu, Qiang A high-order well-balanced discontinuous Galerkin method based on the hydrostatic reconstruction for the Ripa model. (English) Zbl 1488.74133 Adv. Appl. Math. Mech. 12, No. 6, 1416-1437 (2020). MSC: 74S05 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Appl. Math. Mech. 12, No. 6, 1416--1437 (2020; Zbl 1488.74133) Full Text: DOI
Li, Wen; Rubasinghe, Kalani; Yao, Guangming; Kuo, L. H. The modified localized method of approximated particular solutions for linear and nonlinear convection-diffusion-reaction PDEs. (English) Zbl 1488.65510 Adv. Appl. Math. Mech. 12, No. 5, 1113-1136 (2020). MSC: 65M70 65M06 65N35 65D07 65M15 65D12 65F50 PDFBibTeX XMLCite \textit{W. Li} et al., Adv. Appl. Math. Mech. 12, No. 5, 1113--1136 (2020; Zbl 1488.65510) Full Text: DOI
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun A type of cascadic adaptive finite element method for eigenvalue problem. (English) Zbl 1488.65597 Adv. Appl. Math. Mech. 12, No. 3, 774-796 (2020). MSC: 65N25 65N30 65N55 65N50 35J25 PDFBibTeX XMLCite \textit{F. Xu} et al., Adv. Appl. Math. Mech. 12, No. 3, 774--796 (2020; Zbl 1488.65597) Full Text: DOI
Gu, Xian-Ming; Zhao, Yanpu; Huang, Tingzhu; Zhao, Ran Efficient preconditioned iterative linear solvers for 3-D magnetostatic problems using edge elements. (English) Zbl 1488.65070 Adv. Appl. Math. Mech. 12, No. 2, 301-318 (2020). MSC: 65F10 65F08 65N30 78A30 78M10 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Adv. Appl. Math. Mech. 12, No. 2, 301--318 (2020; Zbl 1488.65070) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi On the numerical solution of logarithmic boundary integral equations arising in Laplace’s equations based on the meshless local discrete collocation method. (English) Zbl 1488.65737 Adv. Appl. Math. Mech. 11, No. 4, 807-837 (2019). MSC: 65R20 65N38 65N30 45B05 65N15 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Adv. Appl. Math. Mech. 11, No. 4, 807--837 (2019; Zbl 1488.65737) Full Text: DOI
Li, Junpu; Fu, Zhuojia; Chen, Wen; Liu, Xiaoting A dual-level method of fundamental solutions in conjunction with kernel-independent fast multipole method for large-scale isotropic heat conduction problems. (English) Zbl 1488.65718 Adv. Appl. Math. Mech. 11, No. 2, 501-517 (2019). MSC: 65N80 65N22 80A19 35J05 65N12 35Q79 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Appl. Math. Mech. 11, No. 2, 501--517 (2019; Zbl 1488.65718) Full Text: DOI
Xie, Wenjia; Zhang, Ye; Chang, Qing; Li, Hua Towards an accurate and robust Roe-type scheme for all Mach number flows. (English) Zbl 1488.65356 Adv. Appl. Math. Mech. 11, No. 1, 132-167 (2019). MSC: 65M08 35L65 76M12 76L05 PDFBibTeX XMLCite \textit{W. Xie} et al., Adv. Appl. Math. Mech. 11, No. 1, 132--167 (2019; Zbl 1488.65356) Full Text: DOI
Zhou, Liping; Shu, Shi; Yu, Haiyuan Error estimate and superconvergence of a high-accuracy difference scheme for solving parabolic equations with an integral two-space-variables condition. (English) Zbl 1488.65321 Adv. Appl. Math. Mech. 10, No. 2, 362-389 (2018). MSC: 65M06 65M12 65T50 65M15 35K20 PDFBibTeX XMLCite \textit{L. Zhou} et al., Adv. Appl. Math. Mech. 10, No. 2, 362--389 (2018; Zbl 1488.65321) Full Text: DOI
Qin, Wanglong; Cai, Junwei; Lu, Hongqiang; Jimack, Peter K.; Walkley, M. A. A study of preconditioned Jacobian-free Newton-Krylov discontinuous Galerkin method for compressible flows on 3D hexahedral grids. (English) Zbl 1488.65276 Adv. Appl. Math. Mech. 10, No. 2, 261-274 (2018). MSC: 65M06 65M60 65N30 65F08 65F10 76D05 35Q30 PDFBibTeX XMLCite \textit{W. Qin} et al., Adv. Appl. Math. Mech. 10, No. 2, 261--274 (2018; Zbl 1488.65276) Full Text: DOI
Gao, Si; Liu, Tiegang 1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. (English) Zbl 1488.74142 Adv. Appl. Math. Mech. 9, No. 3, 621-650 (2017). MSC: 74S99 35L50 35L60 35Q74 74C05 74F10 74M20 PDFBibTeX XMLCite \textit{S. Gao} and \textit{T. Liu}, Adv. Appl. Math. Mech. 9, No. 3, 621--650 (2017; Zbl 1488.74142) Full Text: DOI
Chen, Chuanmiao; Wang, Xiangqi; Hu, Hongling A high-efficient algorithm for parabolic problems with time-dependent coefficients. (English) Zbl 1488.65406 Adv. Appl. Math. Mech. 9, No. 2, 501-514 (2017). MSC: 65M60 65M12 65B05 65N22 35K10 65M06 65N30 65F10 65F08 65F35 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Appl. Math. Mech. 9, No. 2, 501--514 (2017; Zbl 1488.65406) Full Text: DOI
Peng, Biao; Zhou, Chunhua; Ai, Junqiang Solution reconstruction on unstructured tetrahedral meshes using \(P^1\)-conservative interpolation. (English) Zbl 1499.65033 Adv. Appl. Math. Mech. 8, No. 5, 847-870 (2016). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{B. Peng} et al., Adv. Appl. Math. Mech. 8, No. 5, 847--870 (2016; Zbl 1499.65033) Full Text: DOI