Wang, Shixi; Bi, Hai; Yang, Yidu An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. (English) Zbl 07796540 Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024). MSC: 65N25 65N30 65N50 65N15 37K15 74B05 35Q74 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024; Zbl 07796540) Full Text: DOI
Li, Ting; Wang, Bin Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields. (English) Zbl 07785135 Adv. Comput. Math. 49, No. 6, Paper No. 89, 34 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65P10 65L05 65L20 78A35 PDFBibTeX XMLCite \textit{T. Li} and \textit{B. Wang}, Adv. Comput. Math. 49, No. 6, Paper No. 89, 34 p. (2023; Zbl 07785135) Full Text: DOI arXiv
Wu, Xiaoxin; Qiu, Weifeng; Pan, Kejia An unconditionally stable and \(L^2\) optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations. (English) Zbl 07785129 Adv. Comput. Math. 49, No. 6, Paper No. 83, 20 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N08 65N50 65N12 65N15 41A25 PDFBibTeX XMLCite \textit{X. Wu} et al., Adv. Comput. Math. 49, No. 6, Paper No. 83, 20 p. (2023; Zbl 07785129) Full Text: DOI
Ma, Shu; Wang, Jilu; Zhang, Mingyan; Zhang, Zhimin Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator. (English) Zbl 07773316 Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M70 65H10 65H10 65M15 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{S. Ma} et al., Adv. Comput. Math. 49, No. 6, Paper No. 77, 38 p. (2023; Zbl 07773316) Full Text: DOI
Yin, Daopeng; Xie, Yingying; Mei, Liquan The stability and convergence analysis of finite difference methods for the fractional neutron diffusion equation. (English) Zbl 07757635 Adv. Comput. Math. 49, No. 5, Paper No. 72, 31 p. (2023). MSC: 65M06 65N06 65M12 65M15 35B65 82D75 82M20 26A33 35R11 PDFBibTeX XMLCite \textit{D. Yin} et al., Adv. Comput. Math. 49, No. 5, Paper No. 72, 31 p. (2023; Zbl 07757635) Full Text: DOI
Moseley, Ben; Markham, Andrew; Nissen-Meyer, Tarje Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations. (English) Zbl 07726220 Adv. Comput. Math. 49, No. 4, Paper No. 62, 39 p. (2023). MSC: 65M99 68T01 PDFBibTeX XMLCite \textit{B. Moseley} et al., Adv. Comput. Math. 49, No. 4, Paper No. 62, 39 p. (2023; Zbl 07726220) Full Text: DOI arXiv
Li, Jian; Zeng, Jiyao; Li, Rui An adaptive discontinuous finite volume element method for the Allen-Cahn equation. (English) Zbl 07726213 Adv. Comput. Math. 49, No. 4, Paper No. 55, 39 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 49, No. 4, Paper No. 55, 39 p. (2023; Zbl 07726213) Full Text: DOI
Kohl, Ryan; Corona, Eduardo; Cheruvu, Vani; Veerapaneni, Shravan Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow. (English) Zbl 1527.65136 Adv. Comput. Math. 49, No. 4, Paper No. 45, 29 p. (2023). MSC: 65N38 65N80 76D07 76T20 35J05 PDFBibTeX XMLCite \textit{R. Kohl} et al., Adv. Comput. Math. 49, No. 4, Paper No. 45, 29 p. (2023; Zbl 1527.65136) Full Text: DOI arXiv
Huang, Qiong-Ao; Jiang, Wei; Yang, Jerry Zhijian; Zhang, Gengen Linear multi-step methods and their numerical stability for solving gradient flow equations. (English) Zbl 1520.65064 Adv. Comput. Math. 49, No. 3, Paper No. 39, 32 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M70 65N35 65M06 65L06 35K35 35K55 PDFBibTeX XMLCite \textit{Q.-A. Huang} et al., Adv. Comput. Math. 49, No. 3, Paper No. 39, 32 p. (2023; Zbl 1520.65064) Full Text: DOI
Zou, Guang-an; Wang, Xuyang; Li, Jian An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562 Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023). MSC: 35Q35 76A15 65M12 65M15 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023; Zbl 1518.35562) Full Text: DOI
Kumar, Naresh Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients. (English) Zbl 1514.65131 Adv. Comput. Math. 49, No. 2, Paper No. 12, 36 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76A10 86A15 76Q05 74D05 PDFBibTeX XMLCite \textit{N. Kumar}, Adv. Comput. Math. 49, No. 2, Paper No. 12, 36 p. (2023; Zbl 1514.65131) Full Text: DOI
De Ryck, Tim; Mishra, Siddhartha Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. (English) Zbl 1502.65170 Adv. Comput. Math. 48, No. 6, Paper No. 79, 40 p. (2022). MSC: 65M99 68T07 65M15 35K55 35K05 91G20 35Q53 PDFBibTeX XMLCite \textit{T. De Ryck} and \textit{S. Mishra}, Adv. Comput. Math. 48, No. 6, Paper No. 79, 40 p. (2022; Zbl 1502.65170) Full Text: DOI arXiv
Stein, David B.; Barnett, Alex H. Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. (English) Zbl 1498.35216 Adv. Comput. Math. 48, No. 5, Paper No. 60, 46 p. (2022). MSC: 35J25 45A05 35C15 76S05 PDFBibTeX XMLCite \textit{D. B. Stein} and \textit{A. H. Barnett}, Adv. Comput. Math. 48, No. 5, Paper No. 60, 46 p. (2022; Zbl 1498.35216) Full Text: DOI arXiv
Nitsche, Monika Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow. (English) Zbl 1500.65009 Adv. Comput. Math. 48, No. 5, Paper No. 57, 32 p. (2022). MSC: 65D30 65D32 65N38 65R20 76D07 PDFBibTeX XMLCite \textit{M. Nitsche}, Adv. Comput. Math. 48, No. 5, Paper No. 57, 32 p. (2022; Zbl 1500.65009) Full Text: DOI
Alves, Carlos J. S.; Martins, Nuno F. M.; Silvestre, Ana L. Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems. (English) Zbl 1497.35149 Adv. Comput. Math. 48, No. 4, Paper No. 44, 23 p. (2022). MSC: 35J25 35Q35 65N38 65N80 76D07 PDFBibTeX XMLCite \textit{C. J. S. Alves} et al., Adv. Comput. Math. 48, No. 4, Paper No. 44, 23 p. (2022; Zbl 1497.35149) Full Text: DOI
Kim, Yunho; Lee, Dongsun Numerical investigation into the dependence of the Allen-Cahn equation on the free energy. (English) Zbl 1492.35338 Adv. Comput. Math. 48, No. 3, Paper No. 36, 32 p. (2022). MSC: 35Q82 35Q56 82B20 81V45 65M06 65M12 PDFBibTeX XMLCite \textit{Y. Kim} and \textit{D. Lee}, Adv. Comput. Math. 48, No. 3, Paper No. 36, 32 p. (2022; Zbl 1492.35338) Full Text: DOI
Li, Jichun; Shu, Chi-Wang; Yang, Wei Development and analysis of two new finite element schemes for a time-domain carpet cloak model. (English) Zbl 1487.78031 Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022). MSC: 78M10 65M60 65M06 65N30 65M12 65M15 65F10 35Q60 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022; Zbl 1487.78031) Full Text: DOI
Eimer, Matthias; Borsche, Raul; Siedow, Norbert Implicit finite volume method with a posteriori limiting for transport networks. (English) Zbl 07523515 Adv. Comput. Math. 48, No. 3, Paper No. 21, 21 p. (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{M. Eimer} et al., Adv. Comput. Math. 48, No. 3, Paper No. 21, 21 p. (2022; Zbl 07523515) Full Text: DOI
Fryklund, Fredrik; af Klinteberg, Ludvig; Tornberg, Anna-Karin An adaptive kernel-split quadrature method for parameter-dependent layer potentials. (English) Zbl 1483.65038 Adv. Comput. Math. 48, No. 2, Paper No. 12, 27 p. (2022). MSC: 65D30 45E10 65N99 65R20 PDFBibTeX XMLCite \textit{F. Fryklund} et al., Adv. Comput. Math. 48, No. 2, Paper No. 12, 27 p. (2022; Zbl 1483.65038) Full Text: DOI arXiv
Krah, Philipp; Engels, Thomas; Schneider, Kai; Reiss, Julius Wavelet adaptive proper orthogonal decomposition for large-scale flow data. (English) Zbl 07506435 Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{P. Krah} et al., Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022; Zbl 07506435) Full Text: DOI arXiv
Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G. A structure-preserving algorithm for surface water flows with transport processes. (English) Zbl 1489.65128 Adv. Comput. Math. 48, No. 1, Paper No. 7, 32 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M22 65M12 35L65 35B09 76T20 76B15 35Q35 35Q49 PDFBibTeX XMLCite \textit{H. Karjoun} et al., Adv. Comput. Math. 48, No. 1, Paper No. 7, 32 p. (2022; Zbl 1489.65128) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai An \(H^1\) convergence of the spectral method for the time-fractional non-linear diffusion equations. (English) Zbl 1490.65228 Adv. Comput. Math. 47, No. 5, Paper No. 63, 25 p. (2021). MSC: 65M70 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{H. Zhang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 63, 25 p. (2021; Zbl 1490.65228) Full Text: DOI
Yan, Wen; Blackwell, Robert Kernel aggregated fast multipole method. Efficient summation of Laplace and Stokes kernel functions. (English) Zbl 1492.65348 Adv. Comput. Math. 47, No. 5, Paper No. 69, 27 p. (2021). MSC: 65N99 65N50 65B10 65Y20 65-04 76D07 PDFBibTeX XMLCite \textit{W. Yan} and \textit{R. Blackwell}, Adv. Comput. Math. 47, No. 5, Paper No. 69, 27 p. (2021; Zbl 1492.65348) Full Text: DOI arXiv
Graham, I. G.; Pembery, O. R.; Spence, E. A. Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. (English) Zbl 1473.35122 Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021). MSC: 35J05 35J25 65F08 65N22 65N30 PDFBibTeX XMLCite \textit{I. G. Graham} et al., Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021; Zbl 1473.35122) Full Text: DOI arXiv
Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. (English) Zbl 1480.65230 Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021). MSC: 65M06 65M12 65M15 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021; Zbl 1480.65230) Full Text: DOI Link
Li, Yibao; Yu, Qian; Fang, Weiwei; Xia, Binhu; Kim, Junseok A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1464.76127 Adv. Comput. Math. 47, No. 1, Paper No. 3, 18 p. (2021). MSC: 76M20 76D27 76T06 65M12 PDFBibTeX XMLCite \textit{Y. Li} et al., Adv. Comput. Math. 47, No. 1, Paper No. 3, 18 p. (2021; Zbl 1464.76127) Full Text: DOI
Pintore, Moreno; Pichi, Federico; Hess, Martin; Rozza, Gianluigi; Canuto, Claudio Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. (English) Zbl 1472.65152 Adv. Comput. Math. 47, No. 1, Paper No. 1, 39 p. (2021). MSC: 65N35 35B60 35B32 35Q30 76D05 76E30 76M22 PDFBibTeX XMLCite \textit{M. Pintore} et al., Adv. Comput. Math. 47, No. 1, Paper No. 1, 39 p. (2021; Zbl 1472.65152) Full Text: DOI arXiv
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H.; Valentin, Frédéric An adaptive multiscale hybrid-mixed method for the Oseen equations. (English) Zbl 1472.65139 Adv. Comput. Math. 47, No. 1, Paper No. 15, 36 p. (2021). MSC: 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{R. Araya} et al., Adv. Comput. Math. 47, No. 1, Paper No. 15, 36 p. (2021; Zbl 1472.65139) Full Text: DOI Link
Yang, Ying; Tang, Ming; Liu, Chun; Lu, Benzhuo; Zhong, Liuqiang Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem. (English) Zbl 1465.65148 Adv. Comput. Math. 46, No. 6, Paper No. 78, 34 p. (2020). MSC: 65N30 65N12 65N15 78A57 92C40 35Q60 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Comput. Math. 46, No. 6, Paper No. 78, 34 p. (2020; Zbl 1465.65148) Full Text: DOI
Huang, Yunqing; Li, Jichun Numerical analysis of a finite element method for the electromagnetic concentrator model. (English) Zbl 1462.78023 Adv. Comput. Math. 46, No. 6, Paper No. 77, 24 p. (2020). MSC: 78M10 65M60 65F10 35Q60 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{J. Li}, Adv. Comput. Math. 46, No. 6, Paper No. 77, 24 p. (2020; Zbl 1462.78023) Full Text: DOI
García-Archilla, Bosco; Novo, Julia Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. (English) Zbl 1454.65115 Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020). MSC: 65M60 65M06 65N30 65M70 65M20 65L06 65M12 65M15 76D05 35Q30 PDFBibTeX XMLCite \textit{B. García-Archilla} and \textit{J. Novo}, Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020; Zbl 1454.65115) Full Text: DOI arXiv
Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin An integral equation-based numerical method for the forced heat equation on complex domains. (English) Zbl 1452.65272 Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020). MSC: 65M70 65M80 65L06 65M06 65D30 35J05 65R20 35K05 PDFBibTeX XMLCite \textit{F. Fryklund} et al., Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020; Zbl 1452.65272) Full Text: DOI arXiv
Zhang, Jun; Yang, Xiaofeng Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy. (English) Zbl 1442.65223 Adv. Comput. Math. 46, No. 3, Paper No. 47, 27 p. (2020). MSC: 65M22 65M06 65M70 31A30 35Q82 82D60 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Yang}, Adv. Comput. Math. 46, No. 3, Paper No. 47, 27 p. (2020; Zbl 1442.65223) Full Text: DOI
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla High-order cut finite elements for the elastic wave equation. (English) Zbl 1437.65144 Adv. Comput. Math. 46, No. 3, Paper No. 45, 28 p. (2020). MSC: 65M60 65M85 35B45 74J10 65M15 PDFBibTeX XMLCite \textit{S. Sticko} et al., Adv. Comput. Math. 46, No. 3, Paper No. 45, 28 p. (2020; Zbl 1437.65144) Full Text: DOI arXiv
Jiang, Daijun; Liu, Yikan; Wang, Dongling Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. (English) Zbl 1442.65229 Adv. Comput. Math. 46, No. 3, Paper No. 43, 24 p. (2020). MSC: 65M32 35R11 PDFBibTeX XMLCite \textit{D. Jiang} et al., Adv. Comput. Math. 46, No. 3, Paper No. 43, 24 p. (2020; Zbl 1442.65229) Full Text: DOI arXiv
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. (English) Zbl 1437.35683 Adv. Comput. Math. 46, No. 2, Paper No. 37, 24 p. (2020). MSC: 35Q99 65M06 65M12 65M15 74A50 26A33 35R11 PDFBibTeX XMLCite \textit{B. Ji} et al., Adv. Comput. Math. 46, No. 2, Paper No. 37, 24 p. (2020; Zbl 1437.35683) Full Text: DOI arXiv
Hu, Hanzhang; Chen, Yanping; Huang, Yunqing A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. (English) Zbl 1436.65138 Adv. Comput. Math. 46, No. 2, Paper No. 15, 24 p. (2020). MSC: 65M60 65M12 65M15 65M55 65M50 35K55 76S05 35Q35 PDFBibTeX XMLCite \textit{H. Hu} et al., Adv. Comput. Math. 46, No. 2, Paper No. 15, 24 p. (2020; Zbl 1436.65138) Full Text: DOI
Li, Xin; Zhang, Luming A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. (English) Zbl 1436.65106 Adv. Comput. Math. 46, No. 2, Paper No. 26, 30 p. (2020). MSC: 65M06 65N35 65M12 65M15 65T50 35Q55 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Zhang}, Adv. Comput. Math. 46, No. 2, Paper No. 26, 30 p. (2020; Zbl 1436.65106) Full Text: DOI
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. (English) Zbl 1436.65125 Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020). MSC: 65M08 65M60 65M50 65M12 76D05 76D45 76T06 76M12 35Q35 PDFBibTeX XMLCite \textit{R. Li} et al., Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020; Zbl 1436.65125) Full Text: DOI
Jiang, Chaolong; Song, Yongzhong; Wang, Yushun A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions. (English) Zbl 1436.65148 Adv. Comput. Math. 46, No. 2, Paper No. 23, 31 p. (2020). MSC: 65M70 65M06 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{C. Jiang} et al., Adv. Comput. Math. 46, No. 2, Paper No. 23, 31 p. (2020; Zbl 1436.65148) Full Text: DOI arXiv
Zhao, Fei; Cui, Xia; Yuan, Guangwei Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. (English) Zbl 1436.65117 Adv. Comput. Math. 46, No. 1, Paper No. 7, 34 p. (2020). MSC: 65M06 65B05 65M12 65H10 PDFBibTeX XMLCite \textit{F. Zhao} et al., Adv. Comput. Math. 46, No. 1, Paper No. 7, 34 p. (2020; Zbl 1436.65117) Full Text: DOI
Arjmand, Doghonay; Poluektov, Mikhail; Kreiss, Gunilla Modelling long-range interactions in multiscale simulations of ferromagnetic materials. (English) Zbl 1436.78002 Adv. Comput. Math. 46, No. 1, Paper No. 2, 31 p. (2020). MSC: 78A25 82D40 81V45 35Q60 35Q82 PDFBibTeX XMLCite \textit{D. Arjmand} et al., Adv. Comput. Math. 46, No. 1, Paper No. 2, 31 p. (2020; Zbl 1436.78002) Full Text: DOI arXiv
Dong, Jian A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction. (English) Zbl 1433.76104 Adv. Comput. Math. 46, No. 2, Paper No. 35, 33 p. (2020). MSC: 76M12 35L65 35Q35 PDFBibTeX XMLCite \textit{J. Dong}, Adv. Comput. Math. 46, No. 2, Paper No. 35, 33 p. (2020; Zbl 1433.76104) Full Text: DOI
Zhang, Fan; Cheng, Jian; Liu, Tiegang Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations. (English) Zbl 1433.76097 Adv. Comput. Math. 46, No. 2, Paper No. 33, 36 p. (2020). MSC: 76M10 65M60 35L65 35Q35 76N06 PDFBibTeX XMLCite \textit{F. Zhang} et al., Adv. Comput. Math. 46, No. 2, Paper No. 33, 36 p. (2020; Zbl 1433.76097) Full Text: DOI
Dai, Xinjie; Xiao, Aiguo Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method. (English) Zbl 1457.60103 Adv. Comput. Math. 46, No. 2, Paper No. 29, 23 p. (2020). MSC: 60H20 45G05 60H35 PDFBibTeX XMLCite \textit{X. Dai} and \textit{A. Xiao}, Adv. Comput. Math. 46, No. 2, Paper No. 29, 23 p. (2020; Zbl 1457.60103) Full Text: DOI
Chen, Feng; Shen, Jie Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. (English) Zbl 1435.65119 Adv. Comput. Math. 45, No. 5-6, 3123-3136 (2019). MSC: 65M06 65N35 65M12 65M15 76D05 76U05 35Q30 PDFBibTeX XMLCite \textit{F. Chen} and \textit{J. Shen}, Adv. Comput. Math. 45, No. 5--6, 3123--3136 (2019; Zbl 1435.65119) Full Text: DOI
Wang, Bin; Wu, Xinyuan Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations. (English) Zbl 1437.65152 Adv. Comput. Math. 45, No. 5-6, 2921-2952 (2019). MSC: 65M70 35L70 65M15 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Adv. Comput. Math. 45, No. 5--6, 2921--2952 (2019; Zbl 1437.65152) Full Text: DOI arXiv
Buchheim, Christoph; De Santis, Marianna An active set algorithm for robust combinatorial optimization based on separation oracles. (English) Zbl 1432.90108 Adv. Comput. Math. 45, No. 5-6, 2647-2675 (2019). MSC: 90C25 90C27 90C57 PDFBibTeX XMLCite \textit{C. Buchheim} and \textit{M. De Santis}, Adv. Comput. Math. 45, No. 5--6, 2647--2675 (2019; Zbl 1432.90108) Full Text: DOI arXiv
Peherstorfer, Benjamin; Marzouk, Youssef A transport-based multifidelity preconditioner for Markov chain Monte Carlo. (English) Zbl 07179095 Adv. Comput. Math. 45, No. 5-6, 2321-2348 (2019). MSC: 65C05 65C40 65C60 PDFBibTeX XMLCite \textit{B. Peherstorfer} and \textit{Y. Marzouk}, Adv. Comput. Math. 45, No. 5--6, 2321--2348 (2019; Zbl 07179095) Full Text: DOI arXiv Link
Li, Qi; Mei, Liquan; Yang, Xiaofeng; Li, Yibao Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. (English) Zbl 1420.82021 Adv. Comput. Math. 45, No. 3, 1551-1580 (2019). MSC: 82D25 82C26 82-08 65M06 65M12 PDFBibTeX XMLCite \textit{Q. Li} et al., Adv. Comput. Math. 45, No. 3, 1551--1580 (2019; Zbl 1420.82021) Full Text: DOI
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming Two numerical methods for the Zakharov-Rubenchik equations. (English) Zbl 1415.65239 Adv. Comput. Math. 45, No. 3, 1163-1184 (2019). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{X. Zhou} et al., Adv. Comput. Math. 45, No. 3, 1163--1184 (2019; Zbl 1415.65239) Full Text: DOI
Huang, Can; Wang, Li-Lian An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. (English) Zbl 1415.78011 Adv. Comput. Math. 45, No. 2, 707-734 (2019). MSC: 78M22 78A25 65N35 65N12 PDFBibTeX XMLCite \textit{C. Huang} and \textit{L.-L. Wang}, Adv. Comput. Math. 45, No. 2, 707--734 (2019; Zbl 1415.78011) Full Text: DOI arXiv
Li, Jichun; Chen, Meng; Chen, Min Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. (English) Zbl 1428.65011 Adv. Comput. Math. 45, No. 1, 213-241 (2019). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M12 65M15 78M20 35Q61 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 45, No. 1, 213--241 (2019; Zbl 1428.65011) Full Text: DOI
Franco-de-Leon, Mariano; Lowengrub, John Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation. (English) Zbl 1422.65241 Adv. Comput. Math. 45, No. 1, 99-135 (2019). MSC: 65M38 65M12 65M06 65T50 35Q53 35Q51 35C08 76M15 74S15 PDFBibTeX XMLCite \textit{M. Franco-de-Leon} and \textit{J. Lowengrub}, Adv. Comput. Math. 45, No. 1, 99--135 (2019; Zbl 1422.65241) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310 Adv. Comput. Math. 44, No. 6, 1769-1796 (2018). MSC: 65P10 65M60 35Q55 37M15 93A15 PDFBibTeX XMLCite \textit{B. Karasözen} and \textit{M. Uzunca}, Adv. Comput. Math. 44, No. 6, 1769--1796 (2018; Zbl 1404.65310) Full Text: DOI arXiv
Gong, Yuezheng; Zhao, Jia; Wang, Qi Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation. (English) Zbl 1406.65095 Adv. Comput. Math. 44, No. 5, 1573-1600 (2018). MSC: 65M70 76T20 65L06 65M12 35Q35 65H10 PDFBibTeX XMLCite \textit{Y. Gong} et al., Adv. Comput. Math. 44, No. 5, 1573--1600 (2018; Zbl 1406.65095) Full Text: DOI
Biswas, Biswarup; Dubey, Ritesh Kumar Low dissipative entropy stable schemes using third order WENO and TVD reconstructions. (English) Zbl 1396.65139 Adv. Comput. Math. 44, No. 4, 1153-1181 (2018). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{B. Biswas} and \textit{R. K. Dubey}, Adv. Comput. Math. 44, No. 4, 1153--1181 (2018; Zbl 1396.65139) Full Text: DOI
Arjmand, Doghonay; Poluektov, Mikhail; Kreiss, Gunilla Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature. (English) Zbl 1394.82016 Adv. Comput. Math. 44, No. 4, 1119-1151 (2018). MSC: 82C80 65C20 65M55 82C31 82D40 PDFBibTeX XMLCite \textit{D. Arjmand} et al., Adv. Comput. Math. 44, No. 4, 1119--1151 (2018; Zbl 1394.82016) Full Text: DOI arXiv
Mao, Zhiping; Shen, Jie Spectral element method with geometric mesh for two-sided fractional differential equations. (English) Zbl 1397.65305 Adv. Comput. Math. 44, No. 3, 745-771 (2018). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65E05 65M70 41A05 41A10 41A25 35R11 65N15 PDFBibTeX XMLCite \textit{Z. Mao} and \textit{J. Shen}, Adv. Comput. Math. 44, No. 3, 745--771 (2018; Zbl 1397.65305) Full Text: DOI
Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J. A posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. (English) Zbl 1388.76171 Adv. Comput. Math. 44, No. 2, 571-607 (2018). MSC: 76M12 65N08 65Z05 PDFBibTeX XMLCite \textit{S. Clain} et al., Adv. Comput. Math. 44, No. 2, 571--607 (2018; Zbl 1388.76171) Full Text: DOI
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. (English) Zbl 1380.92011 Adv. Comput. Math. 44, No. 1, 327-350 (2018). MSC: 92C17 65M06 65M08 65M12 35M10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Adv. Comput. Math. 44, No. 1, 327--350 (2018; Zbl 1380.92011) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei A numerical method for solving three-dimensional elliptic interface problems with triple junction points. (English) Zbl 1382.65421 Adv. Comput. Math. 44, No. 1, 175-193 (2018). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Comput. Math. 44, No. 1, 175--193 (2018; Zbl 1382.65421) Full Text: DOI
Jung, Chang-Yeol; Nguyen, Thien Binh Fine structures for the solutions of the two-dimensional Riemann problems by high-order WENO schemes. (English) Zbl 1387.76092 Adv. Comput. Math. 44, No. 1, 147-174 (2018). MSC: 76N15 35L65 35L67 65M06 PDFBibTeX XMLCite \textit{C.-Y. Jung} and \textit{T. B. Nguyen}, Adv. Comput. Math. 44, No. 1, 147--174 (2018; Zbl 1387.76092) Full Text: DOI
Ghelardoni, Paolo; Magherini, Cecilia A matrix method for fractional Sturm-Liouville problems on bounded domain. (English) Zbl 1387.65076 Adv. Comput. Math. 43, No. 6, 1377-1401 (2017). MSC: 65L15 65L20 34A08 33C45 PDFBibTeX XMLCite \textit{P. Ghelardoni} and \textit{C. Magherini}, Adv. Comput. Math. 43, No. 6, 1377--1401 (2017; Zbl 1387.65076) Full Text: DOI arXiv
Liu, Fu-Jun; Wang, Zhong-Qing; Li, Hui-Yuan A fully diagonalized spectral method using generalized Laguerre functions on the half line. (English) Zbl 1387.76077 Adv. Comput. Math. 43, No. 6, 1227-1259 (2017). MSC: 76M22 33C45 35J25 65L70 PDFBibTeX XMLCite \textit{F.-J. Liu} et al., Adv. Comput. Math. 43, No. 6, 1227--1259 (2017; Zbl 1387.76077) Full Text: DOI arXiv
Hou, Dianming; Xu, Chuanju A fractional spectral method with applications to some singular problems. (English) Zbl 1382.65467 Adv. Comput. Math. 43, No. 5, 911-944 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65L60 65N35 65M70 45K05 41A10 41A25 26A33 35R11 34A08 PDFBibTeX XMLCite \textit{D. Hou} and \textit{C. Xu}, Adv. Comput. Math. 43, No. 5, 911--944 (2017; Zbl 1382.65467) Full Text: DOI
af Klinteberg, Ludvig; Tornberg, Anna-Karin Error estimation for quadrature by expansion in layer potential evaluation. (English) Zbl 1367.65154 Adv. Comput. Math. 43, No. 1, 195-234 (2017). MSC: 65N15 65N38 35J05 65D32 41A55 PDFBibTeX XMLCite \textit{L. af Klinteberg} and \textit{A.-K. Tornberg}, Adv. Comput. Math. 43, No. 1, 195--234 (2017; Zbl 1367.65154) Full Text: DOI arXiv
Zheng, Xiaoming; Lowengrub, John An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271 Adv. Comput. Math. 42, No. 5, 1225-1257 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J25 35R05 76D07 76M10 65N12 92C17 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{J. Lowengrub}, Adv. Comput. Math. 42, No. 5, 1225--1257 (2016; Zbl 1357.65271) Full Text: DOI
Liu, Xin; Li, Jian; Chen, Zhangxin A weak Galerkin finite element method for the Oseen equations. (English) Zbl 1426.76286 Adv. Comput. Math. 42, No. 6, 1473-1490 (2016). MSC: 76M10 76D07 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{X. Liu} et al., Adv. Comput. Math. 42, No. 6, 1473--1490 (2016; Zbl 1426.76286) Full Text: DOI
Birem, Mira; Klein, Christian Multidomain spectral method for Schrödinger equations. (English) Zbl 1337.65129 Adv. Comput. Math. 42, No. 2, 395-423 (2016). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{M. Birem} and \textit{C. Klein}, Adv. Comput. Math. 42, No. 2, 395--423 (2016; Zbl 1337.65129) Full Text: DOI arXiv
Guy, Robert D.; Philip, Bobby; Griffith, Boyce E. Geometric multigrid for an implicit-time immersed boundary method. (English) Zbl 1329.74300 Adv. Comput. Math. 41, No. 3, 635-662 (2015). MSC: 74S15 74F10 65F10 65F08 65M55 PDFBibTeX XMLCite \textit{R. D. Guy} et al., Adv. Comput. Math. 41, No. 3, 635--662 (2015; Zbl 1329.74300) Full Text: DOI arXiv
Lyon, M.; Picard, J. The Fourier approximation of smooth but non-periodic functions from unevenly spaced data. (English) Zbl 1308.65225 Adv. Comput. Math. 40, No. 5-6, 1073-1092 (2014). MSC: 65T50 PDFBibTeX XMLCite \textit{M. Lyon} and \textit{J. Picard}, Adv. Comput. Math. 40, No. 5--6, 1073--1092 (2014; Zbl 1308.65225) Full Text: DOI
Mikula, Karol; Urbán, Jozef A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy. (English) Zbl 1296.65030 Adv. Comput. Math. 40, No. 4, 819-837 (2014). MSC: 65D17 92C55 35R01 65M08 68U10 PDFBibTeX XMLCite \textit{K. Mikula} and \textit{J. Urbán}, Adv. Comput. Math. 40, No. 4, 819--837 (2014; Zbl 1296.65030) Full Text: DOI
Chen, Huajie; Gong, Xingao; He, Lianhua; Yang, Zhang; Zhou, Aihui Numerical analysis of finite dimensional approximations of Kohn-Sham models. (English) Zbl 1278.35225 Adv. Comput. Math. 38, No. 2, 225-256 (2013). MSC: 35Q55 65N15 65N25 65N30 81Q05 PDFBibTeX XMLCite \textit{H. Chen} et al., Adv. Comput. Math. 38, No. 2, 225--256 (2013; Zbl 1278.35225) Full Text: DOI arXiv
Yi, Yong-gang; Guo, Ben-yu Generalized Jacobi rational spectral method on the half line. (English) Zbl 1259.65156 Adv. Comput. Math. 37, No. 1, 1-37 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K65 41A20 65M12 PDFBibTeX XMLCite \textit{Y.-g. Yi} and \textit{B.-y. Guo}, Adv. Comput. Math. 37, No. 1, 1--37 (2012; Zbl 1259.65156) Full Text: DOI
Guo, Ben-yu; Wang, Tian-jun Composite Laguerre-Legendre spectral method for exterior problems. (English) Zbl 1189.65238 Adv. Comput. Math. 32, No. 4, 393-429 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M70 35K20 65M55 35K05 35J25 65N35 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{T.-j. Wang}, Adv. Comput. Math. 32, No. 4, 393--429 (2010; Zbl 1189.65238) Full Text: DOI
Chen, Guo; Li, Zhilin; Lin, Ping A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. (English) Zbl 1241.76324 Adv. Comput. Math. 29, No. 2, 113-133 (2008). MSC: 76M20 65N06 35Q35 76D07 PDFBibTeX XMLCite \textit{G. Chen} et al., Adv. Comput. Math. 29, No. 2, 113--133 (2008; Zbl 1241.76324) Full Text: DOI