Karner, Clemens; Kazeev, Vladimir; Petersen, Philipp Christian Limitations of neural network training due to numerical instability of backpropagation. (English) Zbl 07811923 Adv. Comput. Math. 50, No. 1, Paper No. 14, 33 p. (2024). MSC: 65G99 68T07 35A18 PDFBibTeX XMLCite \textit{C. Karner} et al., Adv. Comput. Math. 50, No. 1, Paper No. 14, 33 p. (2024; Zbl 07811923) Full Text: DOI arXiv OA License
Tonnon, Wouter; Hiptmair, Ralf Semi-Lagrangian finite element exterior calculus for incompressible flows. (English) Zbl 07811920 Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024). MSC: 65M60 65M06 65N30 76D05 76D10 76B03 76M10 76M20 35A15 35R35 35Q30 35Q35 PDFBibTeX XMLCite \textit{W. Tonnon} and \textit{R. Hiptmair}, Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024; Zbl 07811920) Full Text: DOI arXiv OA License
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
Ciarlet, Patrick jun.; Jamelot, Erell Variational methods for solving numerically magnetostatic systems. (English) Zbl 07796537 Adv. Comput. Math. 50, No. 1, Paper No. 5, 28 p. (2024). MSC: 35J56 65N30 78M10 PDFBibTeX XMLCite \textit{P. Ciarlet jun.} and \textit{E. Jamelot}, Adv. Comput. Math. 50, No. 1, Paper No. 5, 28 p. (2024; Zbl 07796537) Full Text: DOI
Pietschmann, Jan-Frederik; Stötzner, Ailyn; Winkler, Max Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme. (English) Zbl 07796536 Adv. Comput. Math. 50, No. 1, Paper No. 4, 26 p. (2024). MSC: 49K20 35Q91 35M33 65M08 76A30 PDFBibTeX XMLCite \textit{J.-F. Pietschmann} et al., Adv. Comput. Math. 50, No. 1, Paper No. 4, 26 p. (2024; Zbl 07796536) Full Text: DOI arXiv
Zheng, Bo; Shang, Yueqiang A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions. (English) Zbl 07796535 Adv. Comput. Math. 50, No. 1, Paper No. 3, 27 p. (2024). MSC: 76M10 76M30 76D05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Adv. Comput. Math. 50, No. 1, Paper No. 3, 27 p. (2024; Zbl 07796535) Full Text: DOI
Chen, Kewang; Vuik, Cornelis Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration. (English) Zbl 07785140 Adv. Comput. Math. 49, No. 6, Paper No. 94, 34 p. (2023). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 65F10 PDFBibTeX XMLCite \textit{K. Chen} and \textit{C. Vuik}, Adv. Comput. Math. 49, No. 6, Paper No. 94, 34 p. (2023; Zbl 07785140) 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
Sorgentone, Chiara; Tornberg, Anna-Karin Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology. (English) Zbl 07785133 Adv. Comput. Math. 49, No. 6, Paper No. 87, 37 p. (2023). MSC: 65D32 PDFBibTeX XMLCite \textit{C. Sorgentone} and \textit{A.-K. Tornberg}, Adv. Comput. Math. 49, No. 6, Paper No. 87, 37 p. (2023; Zbl 07785133) Full Text: DOI arXiv OA License
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
Miao, Cun-Qiang; Cheng, Lan On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. (English) Zbl 07773317 Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023). MSC: 65F15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao} and \textit{L. Cheng}, Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023; Zbl 07773317) 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
Zhang, Gengen; Jiang, Chaolong Arbitrary high-order structure-preserving methods for the quantum Zakharov system. (English) Zbl 07773314 Adv. Comput. Math. 49, No. 6, Paper No. 75, 37 p. (2023). MSC: 65L06 65M22 65M70 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{C. Jiang}, Adv. Comput. Math. 49, No. 6, Paper No. 75, 37 p. (2023; Zbl 07773314) Full Text: DOI arXiv
Qi, Xiao; Zhang, Yanrong; Xu, Chuanju An efficient approximation to the stochastic Allen-Cahn equation with random diffusion coefficient field and multiplicative noise. (English) Zbl 07757636 Adv. Comput. Math. 49, No. 5, Paper No. 73, 24 p. (2023). MSC: 60H15 60H35 65C50 PDFBibTeX XMLCite \textit{X. Qi} et al., Adv. Comput. Math. 49, No. 5, Paper No. 73, 24 p. (2023; Zbl 07757636) 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
Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. (English) Zbl 1527.35383 Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023). MSC: 35Q55 35Q41 58J32 58J37 65N06 65M06 35B40 35C08 35C07 35B44 35A01 35A23 35R09 PDFBibTeX XMLCite \textit{O. Landoulsi} et al., Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023; Zbl 1527.35383) Full Text: DOI arXiv
Kaye, Jason; Strand, Hugo U. R. A fast time domain solver for the equilibrium Dyson equation. (English) Zbl 07726221 Adv. Comput. Math. 49, No. 4, Paper No. 63, 26 p. (2023). MSC: 65R20 45D05 45J05 81V70 PDFBibTeX XMLCite \textit{J. Kaye} and \textit{H. U. R. Strand}, Adv. Comput. Math. 49, No. 4, Paper No. 63, 26 p. (2023; Zbl 07726221) Full Text: DOI arXiv
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
Izzo, Federico; Runborg, Olof; Tsai, Richard High-order corrected trapezoidal rules for a class of singular integrals. (English) Zbl 1520.65016 Adv. Comput. Math. 49, No. 4, Paper No. 60, 47 p. (2023). MSC: 65D32 65R20 PDFBibTeX XMLCite \textit{F. Izzo} et al., Adv. Comput. Math. 49, No. 4, Paper No. 60, 47 p. (2023; Zbl 1520.65016) 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
Conte, Dajana; Frasca-Caccia, Gianluca Exponentially fitted methods with a local energy conservation law. (English) Zbl 1522.65161 Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023). MSC: 65M20 65M06 65P10 35Q55 81Q05 PDFBibTeX XMLCite \textit{D. Conte} and \textit{G. Frasca-Caccia}, Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023; Zbl 1522.65161) Full Text: DOI arXiv
Davydov, Oleg Error bounds for a least squares meshless finite difference method on closed manifolds. (English) Zbl 07723889 Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023). MSC: 65N06 65K10 65D12 65N12 65N15 35R01 PDFBibTeX XMLCite \textit{O. Davydov}, Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023; Zbl 07723889) Full Text: DOI arXiv
Ganesh, M.; Le Louër, F. A high-order algorithm for time-domain scattering in three dimensions. (English) Zbl 1526.65042 Adv. Comput. Math. 49, No. 4, Paper No. 46, 43 p. (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M38 65M70 35L05 35L20 35C15 65F05 15B05 PDFBibTeX XMLCite \textit{M. Ganesh} and \textit{F. Le Louër}, Adv. Comput. Math. 49, No. 4, Paper No. 46, 43 p. (2023; Zbl 1526.65042) 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
Qiu, Wenlin Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. (English) Zbl 07713020 Adv. Comput. Math. 49, No. 3, Paper No. 43, 25 p. (2023). MSC: 65-XX 26A33 45J05 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{W. Qiu}, Adv. Comput. Math. 49, No. 3, Paper No. 43, 25 p. (2023; Zbl 07713020) 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
Poveda, Leonardo A.; Peixoto, Pedro On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere. (English) Zbl 07713013 Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N50 65N15 65N12 58J32 35J05 35J08 35B20 35B65 35R01 PDFBibTeX XMLCite \textit{L. A. Poveda} and \textit{P. Peixoto}, Adv. Comput. Math. 49, No. 3, Paper No. 36, 37 p. (2023; Zbl 07713013) Full Text: DOI arXiv
Chen, Meng; Gao, Rong; He, Yan; Kong, Linghua Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media. (English) Zbl 1518.65084 Adv. Comput. Math. 49, No. 3, Paper No. 34, 28 p. (2023). MSC: 65M06 65N06 65M12 65M15 78A60 78M20 35L15 PDFBibTeX XMLCite \textit{M. Chen} et al., Adv. Comput. Math. 49, No. 3, Paper No. 34, 28 p. (2023; Zbl 1518.65084) 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
Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. (English) Zbl 1514.35352 Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023). MSC: 35Q35 76D05 76E30 65M70 65M06 65N35 65N99 65F20 76M22 76M20 35R01 PDFBibTeX XMLCite \textit{M. W. Hess} et al., Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023; Zbl 1514.35352) Full Text: DOI arXiv
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Çiloğlu, Pelin; Yücel, Hamdullah Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients. (English) Zbl 07667232 Adv. Comput. Math. 49, No. 2, Paper No. 16, 36 p. (2023). MSC: 65-XX 35R60 49J20 60H15 60H35 PDFBibTeX XMLCite \textit{P. Çiloğlu} and \textit{H. Yücel}, Adv. Comput. Math. 49, No. 2, Paper No. 16, 36 p. (2023; Zbl 07667232) Full Text: DOI arXiv
Eskew, Sarah Locke; Singler, John R. A new approach to proper orthogonal decomposition with difference quotients. (English) Zbl 07667229 Adv. Comput. Math. 49, No. 2, Paper No. 13, 33 p. (2023). MSC: 65-XX 35A01 65L10 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{S. L. Eskew} and \textit{J. R. Singler}, Adv. Comput. Math. 49, No. 2, Paper No. 13, 33 p. (2023; Zbl 07667229) Full Text: DOI arXiv
Alla, Alessandro; Kalise, Dante; Simoncini, Valeria State-dependent Riccati equation feedback stabilization for nonlinear PDEs. (English) Zbl 1516.93203 Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023). Reviewer: Gen Qi Xu (Tianjin) MSC: 93D15 93C20 93C10 65L80 93B36 PDFBibTeX XMLCite \textit{A. Alla} et al., Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023; Zbl 1516.93203) Full Text: DOI arXiv
Pu, Tianyi; Fasondini, Marco The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers. (English) Zbl 1505.62519 Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023). MSC: 65R20 26A33 33E12 45A05 PDFBibTeX XMLCite \textit{T. Pu} and \textit{M. Fasondini}, Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023; Zbl 1505.62519) Full Text: DOI arXiv
Siyu, Bai; Hongying, Huang Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements. (English) Zbl 1511.65128 Adv. Comput. Math. 49, No. 1, Paper No. 6, 23 p. (2023). MSC: 65N30 65N38 65N15 65N12 65N50 PDFBibTeX XMLCite \textit{B. Siyu} and \textit{H. Hongying}, Adv. Comput. Math. 49, No. 1, Paper No. 6, 23 p. (2023; Zbl 1511.65128) Full Text: DOI
Grohs, Philipp; Hornung, Fabian; Jentzen, Arnulf; Zimmermann, Philipp Space-time error estimates for deep neural network approximations for differential equations. (English) Zbl 07649348 Adv. Comput. Math. 49, No. 1, Paper No. 4, 78 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{P. Grohs} et al., Adv. Comput. Math. 49, No. 1, Paper No. 4, 78 p. (2023; Zbl 07649348) Full Text: DOI arXiv
Zhang, Yuqing; Wang, Xiang Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes. (English) Zbl 1506.65190 Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N12 35R09 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{X. Wang}, Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023; Zbl 1506.65190) Full Text: DOI
Amat, Sergio; Levin, David; Ruiz-Álvarez, Juan; Yáñez, Dionisio F. Explicit multivariate approximations from cell-average data. (English) Zbl 1528.41019 Adv. Comput. Math. 48, No. 6, Paper No. 85, 31 p. (2022). MSC: 41A15 41A10 PDFBibTeX XMLCite \textit{S. Amat} et al., Adv. Comput. Math. 48, No. 6, Paper No. 85, 31 p. (2022; Zbl 1528.41019) Full Text: DOI arXiv
Guichard, Cindy; Quenjel, El Houssaine Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations. (English) Zbl 1504.65185 Adv. Comput. Math. 48, No. 6, Paper No. 81, 63 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 35K65 35K55 PDFBibTeX XMLCite \textit{C. Guichard} and \textit{E. H. Quenjel}, Adv. Comput. Math. 48, No. 6, Paper No. 81, 63 p. (2022; Zbl 1504.65185) Full Text: DOI
Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N. Rectangular eigenvalue problems. (English) Zbl 1510.65065 Adv. Comput. Math. 48, No. 6, Paper No. 80, 16 p. (2022). MSC: 65F15 65N35 PDFBibTeX XMLCite \textit{B. Hashemi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 80, 16 p. (2022; Zbl 1510.65065) Full Text: DOI arXiv
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
Arrutselvi, M.; Natarajan, E.; Natarajan, S. Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. (English) Zbl 1501.65102 Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022). MSC: 65N30 65N55 65N12 65N15 PDFBibTeX XMLCite \textit{M. Arrutselvi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022; Zbl 1501.65102) Full Text: DOI
Chen, Shuli; Jiang, Daijun; Wang, Haibing Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation. (English) Zbl 1501.35453 Adv. Comput. Math. 48, No. 6, Paper No. 77, 28 p. (2022). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Comput. Math. 48, No. 6, Paper No. 77, 28 p. (2022; Zbl 1501.35453) Full Text: DOI
Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. (English) Zbl 07618976 Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022). MSC: 68T07 90C90 PDFBibTeX XMLCite \textit{T. Keil} et al., Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022; Zbl 07618976) Full Text: DOI arXiv
Claeys, Xavier; Collino, Francis; Parolin, Emile Nonlocal optimized Schwarz methods for time-harmonic electromagnetics. (English) Zbl 1501.65149 Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022). MSC: 65N55 65N30 65F10 65F15 65N22 65N12 78A40 78A45 78M10 35Q61 PDFBibTeX XMLCite \textit{X. Claeys} et al., Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022; Zbl 1501.65149) Full Text: DOI arXiv
Campagna, R.; De Marchi, S.; Perracchione, E.; Santin, G. Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms. (English) Zbl 1504.65028 Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022). MSC: 65D07 41A05 41A15 PDFBibTeX XMLCite \textit{R. Campagna} et al., Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022; Zbl 1504.65028) Full Text: DOI
Sousa, Ercília Convergence of consistent and inconsistent schemes for fractional diffusion problems with boundaries. (English) Zbl 07608426 Adv. Comput. Math. 48, No. 5, Paper No. 68, 28 p. (2022). MSC: 65-XX 35R11 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{E. Sousa}, Adv. Comput. Math. 48, No. 5, Paper No. 68, 28 p. (2022; Zbl 07608426) Full Text: DOI
Sun, Yafei; Xu, Yingxiang; Wang, Shuangbin; Gao, Shan Optimized Ventcel-Schwarz methods for the Cahn-Hilliard equation discretized by the stabilized linear Crank-Nicolson scheme. (English) Zbl 1501.65017 Adv. Comput. Math. 48, No. 5, Paper No. 67, 28 p. (2022). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F10 65M22 65N55 65N22 PDFBibTeX XMLCite \textit{Y. Sun} et al., Adv. Comput. Math. 48, No. 5, Paper No. 67, 28 p. (2022; Zbl 1501.65017) Full Text: DOI
Saibaba, Arvind K.; Minster, Rachel; Kilmer, Misha E. Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions. (English) Zbl 1505.65184 Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022; Zbl 1505.65184) Full Text: DOI arXiv
Jiang, Nan; Yang, Huanhuan Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier-Stokes equations. (English) Zbl 07608423 Adv. Comput. Math. 48, No. 5, Paper No. 65, 30 p. (2022). MSC: 65Mxx 65M12 65M60 76D05 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{H. Yang}, Adv. Comput. Math. 48, No. 5, Paper No. 65, 30 p. (2022; Zbl 07608423) Full Text: DOI
Zhang, Yabin; Gillman, Adrianna; Veerapaneni, Shravan A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations. (English) Zbl 07608421 Adv. Comput. Math. 48, No. 5, Paper No. 63, 36 p. (2022). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{Y. Zhang} et al., Adv. Comput. Math. 48, No. 5, Paper No. 63, 36 p. (2022; Zbl 07608421) Full Text: DOI arXiv
Coppé, Vincent; Huybrechs, Daan Efficient function approximation on general bounded domains using splines on a Cartesian grid. (English) Zbl 1504.65041 Adv. Comput. Math. 48, No. 5, Paper No. 62, 41 p. (2022). MSC: 65D15 65D07 65F20 65T40 PDFBibTeX XMLCite \textit{V. Coppé} and \textit{D. Huybrechs}, Adv. Comput. Math. 48, No. 5, Paper No. 62, 41 p. (2022; Zbl 1504.65041) 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
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. (English) Zbl 1498.76052 Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022). MSC: 76M10 76W05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Ding} et al., Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022; Zbl 1498.76052) Full Text: DOI
Hao, Tingting; Ma, Manman; Xu, Xuejun Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations. (English) Zbl 1492.65310 Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022). MSC: 65N30 65N15 65J15 35K61 PDFBibTeX XMLCite \textit{T. Hao} et al., Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022; Zbl 1492.65310) Full Text: DOI arXiv
Wang, Zhoufeng An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition. (English) Zbl 1492.65290 Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022). MSC: 65N08 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{Z. Wang}, Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022; Zbl 1492.65290) Full Text: DOI
Liu, Ying; Guan, Zhen; Nie, Yufeng Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations. (English) Zbl 1492.65321 Adv. Comput. Math. 48, No. 4, Paper No. 47, 22 p. (2022). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Comput. Math. 48, No. 4, Paper No. 47, 22 p. (2022; Zbl 1492.65321) Full Text: DOI
Ambrose, David M.; Camassa, Roberto; Marzuola, Jeremy L.; McLaughlin, Richard M.; Robinson, Quentin; Wilkening, Jon Numerical algorithms for water waves with background flow over obstacles and topography. (English) Zbl 1493.76071 Adv. Comput. Math. 48, No. 4, Paper No. 46, 62 p. (2022). MSC: 76M23 76B15 76B45 86A05 PDFBibTeX XMLCite \textit{D. M. Ambrose} et al., Adv. Comput. Math. 48, No. 4, Paper No. 46, 62 p. (2022; Zbl 1493.76071) Full Text: DOI arXiv
Yemm, Liam Design and analysis of the extended hybrid high-order method for the Poisson problem. (English) Zbl 1493.65236 Adv. Comput. Math. 48, No. 4, Paper No. 45, 25 p. (2022). MSC: 65N30 65N12 65N15 35J05 35G15 PDFBibTeX XMLCite \textit{L. Yemm}, Adv. Comput. Math. 48, No. 4, Paper No. 45, 25 p. (2022; Zbl 1493.65236) Full Text: DOI arXiv
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
Gopal, Abinand; Martinsson, Per-Gunnar An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane. (English) Zbl 1492.65358 Adv. Comput. Math. 48, No. 4, Paper No. 42, 31 p. (2022). MSC: 65R20 PDFBibTeX XMLCite \textit{A. Gopal} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 48, No. 4, Paper No. 42, 31 p. (2022; Zbl 1492.65358) Full Text: DOI arXiv
Li, Xin; Zhang, Luming High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. (English) Zbl 1502.65162 Adv. Comput. Math. 48, No. 4, Paper No. 41, 22 p. (2022). MSC: 65M70 65L06 35L65 35Q55 35Q41 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Zhang}, Adv. Comput. Math. 48, No. 4, Paper No. 41, 22 p. (2022; Zbl 1502.65162) Full Text: DOI
Zhang, Teng; Wang, Tingchun Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime. (English) Zbl 1502.65082 Adv. Comput. Math. 48, No. 4, Paper No. 40, 30 p. (2022). MSC: 65M06 65N06 65M15 65M12 76Q05 76G25 35Q35 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{T. Wang}, Adv. Comput. Math. 48, No. 4, Paper No. 40, 30 p. (2022; Zbl 1502.65082) Full Text: DOI
Marchand, P.; Galkowski, J.; Spence, E. A.; Spence, A. Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? (English) Zbl 1492.65090 Adv. Comput. Math. 48, No. 4, Paper No. 37, 63 p. (2022). MSC: 65F10 65N22 35J05 65N38 PDFBibTeX XMLCite \textit{P. Marchand} et al., Adv. Comput. Math. 48, No. 4, Paper No. 37, 63 p. (2022; Zbl 1492.65090) Full Text: DOI arXiv
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
Zheng, Bo; Qin, Jin; Shang, Yueqiang Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations. (English) Zbl 1496.76089 Adv. Comput. Math. 48, No. 3, Paper No. 35, 35 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 65N12 65N55 65Y05 PDFBibTeX XMLCite \textit{B. Zheng} et al., Adv. Comput. Math. 48, No. 3, Paper No. 35, 35 p. (2022; Zbl 1496.76089) Full Text: DOI
Park, Jongho Fast gradient methods for uniformly convex and weakly smooth problems. (English) Zbl 1489.90125 Adv. Comput. Math. 48, No. 3, Paper No. 34, 31 p. (2022). MSC: 90C25 68Q25 65K05 65B99 PDFBibTeX XMLCite \textit{J. Park}, Adv. Comput. Math. 48, No. 3, Paper No. 34, 31 p. (2022; Zbl 1489.90125) Full Text: DOI arXiv
Wang, Tingyu; Layton, Simon K.; Barba, Lorena A. Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method. (English) Zbl 1491.35350 Adv. Comput. Math. 48, No. 3, Paper No. 32, 25 p. (2022). MSC: 35Q35 35Q60 76D07 76Z05 78A30 35J05 45B05 65N38 65N35 65F10 65D32 78M16 92C35 PDFBibTeX XMLCite \textit{T. Wang} et al., Adv. Comput. Math. 48, No. 3, Paper No. 32, 25 p. (2022; Zbl 1491.35350) Full Text: DOI arXiv
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
Lai, J.; Dong, H. A fast solver for elastic scattering from axisymmetric objects by boundary integral equations. (English) Zbl 1490.35111 Adv. Comput. Math. 48, No. 3, Paper No. 20, 30 p. (2022). MSC: 35J05 35Q61 65R20 PDFBibTeX XMLCite \textit{J. Lai} and \textit{H. Dong}, Adv. Comput. Math. 48, No. 3, Paper No. 20, 30 p. (2022; Zbl 1490.35111) Full Text: DOI arXiv
Marcati, C.; Rakhuba, M.; Schwab, Ch. Tensor rank bounds for point singularities in \(\mathbb{R}^3\). (English) Zbl 1487.35019 Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022). MSC: 35A35 15A69 35J15 41A25 41A46 65N30 PDFBibTeX XMLCite \textit{C. Marcati} et al., Adv. Comput. Math. 48, No. 3, Paper No. 18, 57 p. (2022; Zbl 1487.35019) Full Text: DOI arXiv
Stevenson, Rob; van Venetië, Raymond; Westerdiep, Jan A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. (English) Zbl 07506442 Adv. Comput. Math. 48, No. 3, Paper No. 17, 43 p. (2022). MSC: 65-XX 35K20 65F08 65M12 65M60 65T60 PDFBibTeX XMLCite \textit{R. Stevenson} et al., Adv. Comput. Math. 48, No. 3, Paper No. 17, 43 p. (2022; Zbl 07506442) Full Text: DOI arXiv
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 07506441 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65M06 65N06 65F05 15B05 65Y05 PDFBibTeX XMLCite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) Full Text: DOI arXiv
Greif, Constantin; Junk, Philipp; Urban, Karsten Linear/ridge expansions: enhancing linear approximations by ridge functions. (English) Zbl 1490.65022 Adv. Comput. Math. 48, No. 3, Paper No. 15, 23 p. (2022). MSC: 65D15 41A46 PDFBibTeX XMLCite \textit{C. Greif} et al., Adv. Comput. Math. 48, No. 3, Paper No. 15, 23 p. (2022; Zbl 1490.65022) Full Text: DOI arXiv
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
Maierhofer, Georg; Huybrechs, Daan Convergence analysis of oversampled collocation boundary element methods in 2D. (English) Zbl 1487.65188 Adv. Comput. Math. 48, No. 2, Paper No. 11, 39 p. (2022). MSC: 65N35 65N38 65N12 45B05 65K10 35J05 PDFBibTeX XMLCite \textit{G. Maierhofer} and \textit{D. Huybrechs}, Adv. Comput. Math. 48, No. 2, Paper No. 11, 39 p. (2022; Zbl 1487.65188) 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
Bagur, Laura; Chaillat, Stéphanie; Ciarlet, Patrick Jr. Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber. (English) Zbl 07506434 Adv. Comput. Math. 48, No. 2, Paper No. 9, 35 p. (2022). MSC: 65-XX 35-04 45-04 PDFBibTeX XMLCite \textit{L. Bagur} et al., Adv. Comput. Math. 48, No. 2, Paper No. 9, 35 p. (2022; Zbl 07506434) Full Text: DOI HAL
Nannen, Lothar; Wess, Markus Complex-scaled infinite elements for resonance problems in heterogeneous open systems. (English) Zbl 1493.65225 Adv. Comput. Math. 48, No. 2, Paper No. 8, 35 p. (2022). MSC: 65N30 65N12 35B34 35A15 PDFBibTeX XMLCite \textit{L. Nannen} and \textit{M. Wess}, Adv. Comput. Math. 48, No. 2, Paper No. 8, 35 p. (2022; Zbl 1493.65225) Full Text: DOI
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
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M. The role of mesh quality and mesh quality indicators in the virtual element method. (English) Zbl 1491.65151 Adv. Comput. Math. 48, No. 1, Paper No. 3, 34 p. (2022). MSC: 65N30 65N12 65N50 68U05 35J05 PDFBibTeX XMLCite \textit{T. Sorgente} et al., Adv. Comput. Math. 48, No. 1, Paper No. 3, 34 p. (2022; Zbl 1491.65151) Full Text: DOI arXiv
Borges, Carlos; Rachh, Manas Multifrequency inverse obstacle scattering with unknown impedance boundary conditions using recursive linearization. (English) Zbl 1481.65209 Adv. Comput. Math. 48, No. 1, Paper No. 2, 32 p. (2022). MSC: 65N21 65N20 65R32 31A10 45Q05 35J05 35R30 35R25 PDFBibTeX XMLCite \textit{C. Borges} and \textit{M. Rachh}, Adv. Comput. Math. 48, No. 1, Paper No. 2, 32 p. (2022; Zbl 1481.65209) Full Text: DOI arXiv
Boito, Paola; Eidelman, Yuli; Gemignani, Luca Computing the reciprocal of a \(\phi\)-function by rational approximation. (English) Zbl 1481.65069 Adv. Comput. Math. 48, No. 1, Paper No. 1, 28 p. (2022). MSC: 65F60 PDFBibTeX XMLCite \textit{P. Boito} et al., Adv. Comput. Math. 48, No. 1, Paper No. 1, 28 p. (2022; Zbl 1481.65069) Full Text: DOI arXiv
Kleefeld, Andreas The hot spots conjecture can be false: some numerical examples. (English) Zbl 1487.35204 Adv. Comput. Math. 47, No. 6, Paper No. 85, 31 p. (2021). Reviewer: Gilles Evéquoz (Delémont) MSC: 35J25 35P20 65F15 65M38 PDFBibTeX XMLCite \textit{A. Kleefeld}, Adv. Comput. Math. 47, No. 6, Paper No. 85, 31 p. (2021; Zbl 1487.35204) Full Text: DOI arXiv
Gataric, Milana High-resolution signal recovery via generalized sampling and functional principal component analysis. (English) Zbl 1493.62367 Adv. Comput. Math. 47, No. 6, Paper No. 84, 29 p. (2021). MSC: 62H25 62M40 65D15 65J20 42C40 68T05 94A08 PDFBibTeX XMLCite \textit{M. Gataric}, Adv. Comput. Math. 47, No. 6, Paper No. 84, 29 p. (2021; Zbl 1493.62367) Full Text: DOI arXiv
Wang, Gang; Wang, Feng; He, Yinnian A divergence-free weak virtual element method for the Navier-Stokes equation on polygonal meshes. (English) Zbl 1501.65129 Adv. Comput. Math. 47, No. 6, Paper No. 83, 37 p. (2021). MSC: 65N30 65N15 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{G. Wang} et al., Adv. Comput. Math. 47, No. 6, Paper No. 83, 37 p. (2021; Zbl 1501.65129) Full Text: DOI
Dölz, J.; Egger, H.; Shashkov, V. A fast and oblivious matrix compression algorithm for Volterra integral operators. (English) Zbl 1483.65071 Adv. Comput. Math. 47, No. 6, Paper No. 81, 24 p. (2021). MSC: 65F99 45P05 PDFBibTeX XMLCite \textit{J. Dölz} et al., Adv. Comput. Math. 47, No. 6, Paper No. 81, 24 p. (2021; Zbl 1483.65071) Full Text: DOI arXiv
Muoi, Pham Quy; Tan, Wee Chin; Hoang, Viet Ha Essentially optimal finite elements for multiscale elliptic eigenvalue problems. (English) Zbl 1479.65030 Adv. Comput. Math. 47, No. 6, Paper No. 80, 25 p. (2021). MSC: 65N30 65N25 65N15 35P15 35B27 35B65 35J15 PDFBibTeX XMLCite \textit{P. Q. Muoi} et al., Adv. Comput. Math. 47, No. 6, Paper No. 80, 25 p. (2021; Zbl 1479.65030) Full Text: DOI
Helsing, Johan; Karlsson, Anders; Rosén, Andreas Comparison of integral equations for the Maxwell transmission problem with general permittivities. (English) Zbl 1480.45006 Adv. Comput. Math. 47, No. 5, Paper No. 76, 32 p. (2021). MSC: 45E05 35Q61 78M15 65R20 PDFBibTeX XMLCite \textit{J. Helsing} et al., Adv. Comput. Math. 47, No. 5, Paper No. 76, 32 p. (2021; Zbl 1480.45006) Full Text: DOI arXiv
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
Hou, Pengyu; Liu, Fang Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics. (English) Zbl 1490.65252 Adv. Comput. Math. 47, No. 4, Paper No. 59, 28 p. (2021). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{P. Hou} and \textit{F. Liu}, Adv. Comput. Math. 47, No. 4, Paper No. 59, 28 p. (2021; Zbl 1490.65252) Full Text: DOI
Fu, Hongfei; Zhu, Chen; Liang, Xueting; Zhang, Bingyin Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. (English) Zbl 1501.65034 Adv. Comput. Math. 47, No. 4, Paper No. 58, 33 p. (2021). MSC: 65M06 65M12 76S05 35A01 35A02 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{H. Fu} et al., Adv. Comput. Math. 47, No. 4, Paper No. 58, 33 p. (2021; Zbl 1501.65034) Full Text: DOI
Zheng, Nan; Li, Xiaoli Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1482.65199 Adv. Comput. Math. 47, No. 5, Paper No. 71, 27 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M70 65M06 65N35 65M12 65M15 76D27 35Q35 PDFBibTeX XMLCite \textit{N. Zheng} and \textit{X. Li}, Adv. Comput. Math. 47, No. 5, Paper No. 71, 27 p. (2021; Zbl 1482.65199) 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
Liang, Zhao-Zheng; Zhang, Guo-Feng Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems. (English) Zbl 07400549 Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021). MSC: 65F10 65F50 65F15 65N22 65N30 49K20 PDFBibTeX XMLCite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021; Zbl 07400549) Full Text: DOI
Guglielmi, Nicola; Kressner, Daniel; Scalone, Carmela Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. (English) Zbl 1485.65036 Adv. Comput. Math. 47, No. 5, Paper No. 66, 28 p. (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Adv. Comput. Math. 47, No. 5, Paper No. 66, 28 p. (2021; Zbl 1485.65036) Full Text: DOI
Huang, Jingfang; Cao, Jian; Fang, Fuhui; Genton, Marc G.; Keyes, David E.; Turkiyyah, George An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. I: Fundamentals. (English) Zbl 07400547 Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021). MSC: 03D20 34B27 62H10 65C60 65D30 65T40 PDFBibTeX XMLCite \textit{J. Huang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021; Zbl 07400547) Full Text: DOI