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
Marazzato, Frédéric; Bourdin, Blaise A DG/CR discretization for the variational phase-field approach to fracture. (English) Zbl 07773243 Comput. Mech. 72, No. 4, 693-705 (2023). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{F. Marazzato} and \textit{B. Bourdin}, Comput. Mech. 72, No. 4, 693--705 (2023; Zbl 07773243) Full Text: DOI arXiv
Zheng, Zhangcheng; Zhang, Zijian; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang Distance minimizing based data-driven computational method for the finite deformation of hyperelastic materials. (English) Zbl 07773172 Int. J. Numer. Methods Eng. 124, No. 10, 2315-2340 (2023). MSC: 65N30 74K10 74B20 74B99 74S05 35Q74 PDFBibTeX XMLCite \textit{Z. Zheng} et al., Int. J. Numer. Methods Eng. 124, No. 10, 2315--2340 (2023; Zbl 07773172) Full Text: DOI
Qiu, Zhiping; Wang, Zhao; Zhu, Bo A symplectic finite element method based on Galerkin discretization for solving linear systems. (English) Zbl 07773081 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 8, 1305-1316 (2023). MSC: 74S05 74S20 74H45 74K10 74K20 74B05 PDFBibTeX XMLCite \textit{Z. Qiu} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 8, 1305--1316 (2023; Zbl 07773081) Full Text: DOI
Gachechiladze, Roland; Gachechiladze, Avtandil Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases). (English) Zbl 07772823 Georgian Math. J. 30, No. 6, 855-871 (2023). MSC: 35J86 74M10 74M15 65N30 PDFBibTeX XMLCite \textit{R. Gachechiladze} and \textit{A. Gachechiladze}, Georgian Math. J. 30, No. 6, 855--871 (2023; Zbl 07772823) Full Text: DOI
Chernov, Alexey; Schetzke, Erik Marc A simple, bias-free approximation of covariance functions by the multilevel Monte Carlo method having nearly optimal complexity. (English) Zbl 07772680 SIAM/ASA J. Uncertain. Quantif. 11, 941-969 (2023). MSC: 68Q25 65C05 65C30 65N30 PDFBibTeX XMLCite \textit{A. Chernov} and \textit{E. M. Schetzke}, SIAM/ASA J. Uncertain. Quantif. 11, 941--969 (2023; Zbl 07772680) Full Text: DOI
Hu, Dongdong; Jiang, Huiling; Xu, Zhuangzhi; Wang, Yushun On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator. (English) Zbl 07772647 Comput. Math. Appl. 150, 254-266 (2023). MSC: 65M12 35Q55 35R11 65M70 65M60 PDFBibTeX XMLCite \textit{D. Hu} et al., Comput. Math. Appl. 150, 254--266 (2023; Zbl 07772647) Full Text: DOI
Zhang, Chunxiao; Zhang, Jin Supercloseness of finite element method for a singularly perturbed convection-diffusion problem on Bakhvalov-type triangular meshes. (English) Zbl 07772646 Comput. Math. Appl. 150, 243-253 (2023). MSC: 65N30 35B25 65N12 35J25 65N50 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{J. Zhang}, Comput. Math. Appl. 150, 243--253 (2023; Zbl 07772646) Full Text: DOI
Ahmat, Muyassar; Ni, SuYuan; Zhang, Min; Zhao, Zhuang A sixth-order finite difference HWENO scheme for nonlinear degenerate parabolic equation. (English) Zbl 07772643 Comput. Math. Appl. 150, 196-210 (2023). MSC: 65M06 35L65 65M12 65M60 35K65 PDFBibTeX XMLCite \textit{M. Ahmat} et al., Comput. Math. Appl. 150, 196--210 (2023; Zbl 07772643) Full Text: DOI
Qin, Yi; Wang, Yang; Chen, Lele; Li, Yi; Li, Jian A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model. (English) Zbl 07772642 Comput. Math. Appl. 150, 170-195 (2023). MSC: 76S05 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Qin} et al., Comput. Math. Appl. 150, 170--195 (2023; Zbl 07772642) Full Text: DOI
Wang, Shixi; Bi, Hai; Yang, Yidu The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media. (English) Zbl 07772641 Comput. Math. Appl. 150, 156-169 (2023). MSC: 65N30 65N25 65N15 35J05 35P15 PDFBibTeX XMLCite \textit{S. Wang} et al., Comput. Math. Appl. 150, 156--169 (2023; Zbl 07772641) Full Text: DOI arXiv
Wang, Meiting; Zou, Guang-an; Wang, Bo; Zhao, Wenju Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system. (English) Zbl 07772640 Comput. Math. Appl. 150, 132-155 (2023). MSC: 65M60 92C17 65M12 35Q92 35Q30 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Math. Appl. 150, 132--155 (2023; Zbl 07772640) Full Text: DOI
Zhou, Zhongguo; Hang, Tongtong; Pan, Hao; Wang, Yan The upwind PPM scheme and analysis for solving two-sided space-fractional advection-diffusion equations in three dimension. (English) Zbl 07772636 Comput. Math. Appl. 150, 70-86 (2023). MSC: 65M06 35R11 65M12 65M08 65M60 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Comput. Math. Appl. 150, 70--86 (2023; Zbl 07772636) Full Text: DOI
Dey, Sangita; Rathish Kumar, B. V. Finite element analysis of modified N-S equations coupled with energy transfer for hybrid nanofluid flow in complex domains. (English) Zbl 07772634 Comput. Math. Appl. 150, 37-53 (2023). MSC: 65N30 76M10 76S05 65N15 80A20 PDFBibTeX XMLCite \textit{S. Dey} and \textit{B. V. Rathish Kumar}, Comput. Math. Appl. 150, 37--53 (2023; Zbl 07772634) Full Text: DOI arXiv
Huang, Z. M.; Peng, L. X. A coordinate transformation based barycentric interpolation collocation method and its application in bending, free vibration and buckling analysis of irregular Kirchhoff plates. (English) Zbl 07772342 Int. J. Numer. Methods Eng. 124, No. 22, 5069-5101 (2023). MSC: 65N35 65D05 65N30 74H45 74K20 74S25 PDFBibTeX XMLCite \textit{Z. M. Huang} and \textit{L. X. Peng}, Int. J. Numer. Methods Eng. 124, No. 22, 5069--5101 (2023; Zbl 07772342) Full Text: DOI
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg A new method to interpolate POD reduced bases-application to the parametric model order reduction of a gas bearings supported rotor. (English) Zbl 07772304 Int. J. Numer. Methods Eng. 124, No. 18, 4141-4170 (2023). MSC: 65M99 65N06 65L60 65D05 65D32 76N15 PDFBibTeX XMLCite \textit{D. Goutaudier} et al., Int. J. Numer. Methods Eng. 124, No. 18, 4141--4170 (2023; Zbl 07772304) Full Text: DOI OA License
Harsch, Jonas; Sailer, Simon; Eugster, Simon R. A total Lagrangian, objective and intrinsically locking-free Petrov-Galerkin \(SE(3)\) Cosserat rod finite element formulation. (English) Zbl 07772240 Int. J. Numer. Methods Eng. 124, No. 13, 2965-2994 (2023). MSC: 74S05 74K10 PDFBibTeX XMLCite \textit{J. Harsch} et al., Int. J. Numer. Methods Eng. 124, No. 13, 2965--2994 (2023; Zbl 07772240) Full Text: DOI arXiv OA License
Caucao, Sergio; Gatica, Gabriel N.; Gatica, Luis F. A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. (English) Zbl 1527.65125 Calcolo 60, No. 4, Paper No. 51, 32 p. (2023). MSC: 65N30 65N12 65N15 76S05 76D07 76R05 35A01 35A02 35B20 47H10 35Q35 PDFBibTeX XMLCite \textit{S. Caucao} et al., Calcolo 60, No. 4, Paper No. 51, 32 p. (2023; Zbl 1527.65125) Full Text: DOI
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 PDFBibTeX XMLCite \textit{F. R. A. Aznaran} et al., SMAI J. Comput. Math. 8, 399--437 (2023; Zbl 1528.65099) Full Text: DOI arXiv
Pereira, Rodrigo M.; Nguyen van yen, Natacha; Schneider, Kai; Farge, Marie Are adaptive Galerkin schemes dissipative? (English) Zbl 1528.65079 SIAM Rev. 65, No. 4, 1109-1134 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 65L06 65N30 65N35 65N50 65T60 35Q31 35Q35 PDFBibTeX XMLCite \textit{R. M. Pereira} et al., SIAM Rev. 65, No. 4, 1109--1134 (2023; Zbl 1528.65079) Full Text: DOI
Aristoff, David; Bangerth, Wolfgang A Benchmark for the Bayesian inversion of coefficients in partial differential equations. (English) Zbl 07771545 SIAM Rev. 65, No. 4, 1074-1105 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N21 65N20 62F15 65C40 65C05 65N30 65N50 35R30 35R25 74G75 PDFBibTeX XMLCite \textit{D. Aristoff} and \textit{W. Bangerth}, SIAM Rev. 65, No. 4, 1074--1105 (2023; Zbl 07771545) Full Text: DOI arXiv
Chamoin, Ludovic; Legoll, Frédéric An introductory review on a posteriori error estimation in finite element computations. (English) Zbl 1528.65104 SIAM Rev. 65, No. 4, 963-1028 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65B05 65N12 65N50 65-02 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, SIAM Rev. 65, No. 4, 963--1028 (2023; Zbl 1528.65104) Full Text: DOI arXiv
Bhattacharyya, Maitraya K.; Radice, David A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids. (English) Zbl 07771281 J. Comput. Phys. 491, Article ID 112365, 22 p. (2023). MSC: 65Mxx 82Cxx 85Axx PDFBibTeX XMLCite \textit{M. K. Bhattacharyya} and \textit{D. Radice}, J. Comput. Phys. 491, Article ID 112365, 22 p. (2023; Zbl 07771281) Full Text: DOI arXiv
Zhang, Xiaodi; Dong, Shitian New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation. (English) Zbl 1528.65119 BIT 63, No. 4, Paper No. 55, 34 p. (2023). MSC: 65N30 65N12 65N15 76M10 76W05 58A12 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{S. Dong}, BIT 63, No. 4, Paper No. 55, 34 p. (2023; Zbl 1528.65119) Full Text: DOI
Sen Gupta, J. A priori error bounds for parabolic interface problems with measure data. (Russian. English summary) Zbl 1527.65131 Sib. Zh. Vychisl. Mat. 26, No. 3, 313-330 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. Sen Gupta}, Sib. Zh. Vychisl. Mat. 26, No. 3, 313--330 (2023; Zbl 1527.65131) Full Text: DOI arXiv MNR
Karaagac, B.; Esen, A.; Owolabi, K. M.; Pindza, E. A collocation method for the KdV-Kawahara equation by trigonometric quintic B-spline basis. (Russian. English summary) Zbl 1527.65063 Sib. Zh. Vychisl. Mat. 26, No. 3, 263-276 (2023). MSC: 65L60 37N30 37M05 35C08 41A15 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Sib. Zh. Vychisl. Mat. 26, No. 3, 263--276 (2023; Zbl 1527.65063) Full Text: DOI MNR
von Danwitz, Max; Voulis, Igor; Hosters, Norbert; Behr, Marek Time-continuous and time-discontinuous space-time finite elements for advection-diffusion problems. (English) Zbl 07770639 Int. J. Numer. Methods Eng. 124, No. 14, 3117-3144 (2023). MSC: 65M60 65M06 65N30 65F08 65F10 65Y05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{M. von Danwitz} et al., Int. J. Numer. Methods Eng. 124, No. 14, 3117--3144 (2023; Zbl 07770639) Full Text: DOI arXiv OA License
Balci, Anna Kh.; Diening, Lars; Storn, Johannes Relaxed Kačanov scheme for the \(p\)-Laplacian with large exponent. (English) Zbl 07770185 SIAM J. Numer. Anal. 61, No. 6, 2775-2794 (2023). MSC: 35J92 65N22 65N30 PDFBibTeX XMLCite \textit{A. Kh. Balci} et al., SIAM J. Numer. Anal. 61, No. 6, 2775--2794 (2023; Zbl 07770185) Full Text: DOI arXiv
Liu, Chen; Masri, Rami; Riviere, Beatrice Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1528.65077 SIAM J. Numer. Anal. 61, No. 6, 2651-2694 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76T06 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 61, No. 6, 2651--2694 (2023; Zbl 1528.65077) Full Text: DOI arXiv
Faustmann, Markus; Marcati, Carlo; Melenk, Jens Markus; Schwab, Christoph Exponential convergence of \(hp\)-FEM for the integral fractional Laplacian in polygons. (English) Zbl 07770179 SIAM J. Numer. Anal. 61, No. 6, 2601-2622 (2023). MSC: 65N30 65N12 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Faustmann} et al., SIAM J. Numer. Anal. 61, No. 6, 2601--2622 (2023; Zbl 07770179) Full Text: DOI arXiv
Dor, Dieunel On the hyperbolic relaxation of the Cahn-Hilliard equation with a mass source. (English) Zbl 1528.35211 Asymptotic Anal. 135, No. 1-2, 25-53 (2023). MSC: 35Q92 92C37 35B41 35B65 35A01 35A02 35L20 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{D. Dor}, Asymptotic Anal. 135, No. 1--2, 25--53 (2023; Zbl 1528.35211) Full Text: DOI
Daneshyar, Alireza; Sotoudeh, Payam; Ghaemian, Mohsen The scaled boundary finite element method for dispersive wave propagation in higher-order continua. (English) Zbl 07769190 Int. J. Numer. Methods Eng. 124, No. 4, 880-927 (2023). MSC: 74S05 74J10 74B99 PDFBibTeX XMLCite \textit{A. Daneshyar} et al., Int. J. Numer. Methods Eng. 124, No. 4, 880--927 (2023; Zbl 07769190) Full Text: DOI
Schenk, Christina; Portillo, David; Romero, Ignacio Linking discrete and continuum diffusion models: well-posedness and stable finite element discretizations. (English) Zbl 07769152 Int. J. Numer. Methods Eng. 124, No. 9, 2105-2121 (2023). MSC: 76M10 76R50 65N30 65N12 PDFBibTeX XMLCite \textit{C. Schenk} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2105--2121 (2023; Zbl 07769152) Full Text: DOI arXiv
Crisan, Dan; Holm, Darryl D.; Lang, Oana; Mensah, Prince Romeo; Pan, Wei Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model. (English) Zbl 07768181 Stoch. Dyn. 23, No. 5, Article ID 2350039, 57 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q86 35Q31 35Q79 86A05 76U60 76F55 76E20 35D35 35B44 35A01 35A02 65N30 65L06 60H15 35R60 PDFBibTeX XMLCite \textit{D. Crisan} et al., Stoch. Dyn. 23, No. 5, Article ID 2350039, 57 p. (2023; Zbl 07768181) Full Text: DOI arXiv
Baldonedo, Jacobo; Fernández, José R.; Quintanilla, Ramón Numerical analysis of a Caginalp phase-field system in type III heat conduction. (English) Zbl 07767372 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2230-2240 (2023). MSC: 74F10 35B40 65M60 PDFBibTeX XMLCite \textit{J. Baldonedo} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2230--2240 (2023; Zbl 07767372) Full Text: DOI
Li, Chang-feng; Yuan, Yi-rang; Song, Huai-ling An upwind mixed finite volume element-fractional step method and convergence analysis for three-dimensional compressible contamination treatment from nuclear waste. (English) Zbl 07767304 Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 808-829 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N30 65M15 65N12 76S05 35Q35 PDFBibTeX XMLCite \textit{C.-f. Li} et al., Acta Math. Appl. Sin., Engl. Ser. 39, No. 4, 808--829 (2023; Zbl 07767304) Full Text: DOI
Pfefferer, Johannes; Winkler, Max Finite element approximations for PDEs with irregular Dirichlet boundary data on boundary concentrated meshes. (English) Zbl 1528.35032 Comput. Methods Appl. Math. 23, No. 4, 1007-1021 (2023). MSC: 35J05 35J25 65N30 PDFBibTeX XMLCite \textit{J. Pfefferer} and \textit{M. Winkler}, Comput. Methods Appl. Math. 23, No. 4, 1007--1021 (2023; Zbl 1528.35032) Full Text: DOI
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong Robust finite element discretization and solvers for distributed elliptic optimal control problems. (English) Zbl 07766473 Comput. Methods Appl. Math. 23, No. 4, 989-1005 (2023). MSC: 65N30 65M15 65N22 65F08 65F10 49J20 49M05 49M41 35J05 PDFBibTeX XMLCite \textit{U. Langer} et al., Comput. Methods Appl. Math. 23, No. 4, 989--1005 (2023; Zbl 07766473) Full Text: DOI arXiv
John, Volker; Knobloch, Petr; Pártl, Ondřej A numerical assessment of finite element discretizations for convection-diffusion-reaction equations satisfying discrete maximum principles. (English) Zbl 07766472 Comput. Methods Appl. Math. 23, No. 4, 969-988 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{V. John} et al., Comput. Methods Appl. Math. 23, No. 4, 969--988 (2023; Zbl 07766472) Full Text: DOI
Heinlein, Alexander; Rheinbach, Oliver; Röver, Friederike A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions. (English) Zbl 1527.65093 Comput. Methods Appl. Math. 23, No. 4, 953-968 (2023). MSC: 65M55 65Y05 65M60 PDFBibTeX XMLCite \textit{A. Heinlein} et al., Comput. Methods Appl. Math. 23, No. 4, 953--968 (2023; Zbl 1527.65093) Full Text: DOI
Flaig, Thomas G. Implicit Runge-Kutta schemes for optimal control problems with evolution equations. (English) Zbl 07766470 Comput. Methods Appl. Math. 23, No. 4, 917-952 (2023). MSC: 65M60 65L06 65L60 65M15 49M29 49M25 49M05 PDFBibTeX XMLCite \textit{T. G. Flaig}, Comput. Methods Appl. Math. 23, No. 4, 917--952 (2023; Zbl 07766470) Full Text: DOI arXiv
Chaumont-Frelet, Théophile; Nicaise, Serge An analysis of high-frequency Helmholtz problems in domains with conical points and their finite element discretisation. (English) Zbl 1528.35029 Comput. Methods Appl. Math. 23, No. 4, 899-916 (2023). MSC: 35J05 35J75 65N30 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} and \textit{S. Nicaise}, Comput. Methods Appl. Math. 23, No. 4, 899--916 (2023; Zbl 1528.35029) Full Text: DOI
Bruchhäuser, Marius Paul; Bause, Markus A cost-efficient space-time adaptive algorithm for coupled flow and transport. (English) Zbl 1527.65095 Comput. Methods Appl. Math. 23, No. 4, 849-875 (2023). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{M. P. Bruchhäuser} and \textit{M. Bause}, Comput. Methods Appl. Math. 23, No. 4, 849--875 (2023; Zbl 1527.65095) Full Text: DOI arXiv
Bertrand, Fleurianne Novel Raviart-Thomas basis functions on anisotropic finite elements. (English) Zbl 1527.65124 Comput. Methods Appl. Math. 23, No. 4, 831-847 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{F. Bertrand}, Comput. Methods Appl. Math. 23, No. 4, 831--847 (2023; Zbl 1527.65124) Full Text: DOI
Acosta, Gabriel; Bersetche, Francisco M.; Rossi, Julio D. A domain decomposition scheme for couplings between local and nonlocal equations. (English) Zbl 07766465 Comput. Methods Appl. Math. 23, No. 4, 817-830 (2023). MSC: 65-XX 35R11 45K05 65N30 47G20 PDFBibTeX XMLCite \textit{G. Acosta} et al., Comput. Methods Appl. Math. 23, No. 4, 817--830 (2023; Zbl 07766465) Full Text: DOI arXiv
Nguyen, Ngoc Cuong; Vila-Pérez, Jordi; Peraire, Jaime An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods. (English) Zbl 07766221 J. Comput. Phys. 494, Article ID 112507, 22 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 494, Article ID 112507, 22 p. (2023; Zbl 07766221) Full Text: DOI arXiv
Bhoriya, Deepak; Biswas, Biswarup; Kumar, Harish; Chandrashekhar, Praveen Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations. (English) Zbl 07766142 J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023). MSC: 65-XX 35L25 35L56 35L75 65M60 PDFBibTeX XMLCite \textit{D. Bhoriya} et al., J. Sci. Comput. 97, No. 3, Paper No. 72, 40 p. (2023; Zbl 07766142) Full Text: DOI arXiv
Vacek, Lukáš; Kučera, Václav Godunov-like numerical fluxes for conservation laws on networks. (English) Zbl 1526.65047 J. Sci. Comput. 97, No. 3, Paper No. 70, 27 p. (2023). MSC: 65M60 65M06 65N30 76A30 90B20 35L04 35L65 35Q90 35R02 PDFBibTeX XMLCite \textit{L. Vacek} and \textit{V. Kučera}, J. Sci. Comput. 97, No. 3, Paper No. 70, 27 p. (2023; Zbl 1526.65047) Full Text: DOI arXiv
Li, Yanwei; Wang, Qiming; Zhou, Zhaojie Adaptive virtual element method for optimal control problem governed by Stokes equations. (English) Zbl 1527.65129 J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023). MSC: 65N30 65N15 76D07 76D55 49K20 49M41 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023; Zbl 1527.65129) Full Text: DOI
Huynh, Ngoc Mai Monica; Chegini, Fatemeh; Pavarino, Luca Franco; Weiser, Martin; Scacchi, Simone Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. (English) Zbl 1527.65138 SIAM J. Sci. Comput. 45, No. 6, A2836-A2857 (2023). MSC: 65N55 65M55 65M60 65M06 65N30 65M12 65F08 65F10 92C37 92C30 92-08 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., SIAM J. Sci. Comput. 45, No. 6, A2836--A2857 (2023; Zbl 1527.65138) Full Text: DOI arXiv
Ndjinga, Michaël; Nguemfouo, Marcial Well posedness for the Poisson problem on closed Lipschitz manifolds. (English) Zbl 1526.58005 SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 44, 19 p. (2023). MSC: 58J05 35J05 65N30 PDFBibTeX XMLCite \textit{M. Ndjinga} and \textit{M. Nguemfouo}, SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 44, 19 p. (2023; Zbl 1526.58005) Full Text: DOI
Loh, Jian Rong; Phang, Chang; Isah, Abdulnasir Numerical solution for arbitrary domain of fractional integro-differential equation via the general shifted Genocchi polynomials. (English) Zbl 1526.65033 J. Funct. Spaces 2023, Article ID 5921425, 12 p. (2023). MSC: 65L60 65R20 45J05 34A08 11B83 PDFBibTeX XMLCite \textit{J. R. Loh} et al., J. Funct. Spaces 2023, Article ID 5921425, 12 p. (2023; Zbl 1526.65033) Full Text: DOI
Burman, Erik; Delay, Guillaume; Ern, Alexandre The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. (English) Zbl 07764838 SIAM J. Numer. Anal. 61, No. 5, 2534-2557 (2023). MSC: 65M30 65M60 65J20 35R25 35K05 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Numer. Anal. 61, No. 5, 2534--2557 (2023; Zbl 07764838) Full Text: DOI
Boon, Wietse M.; Fumagalli, Alessio; Scotti, Anna Mixed and multipoint finite element methods for rotation-based poroelasticity. (English) Zbl 1528.65100 SIAM J. Numer. Anal. 61, No. 5, 2485-2508 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N22 65N12 65F08 35J05 74F10 74B10 76U05 76D07 PDFBibTeX XMLCite \textit{W. M. Boon} et al., SIAM J. Numer. Anal. 61, No. 5, 2485--2508 (2023; Zbl 1528.65100) Full Text: DOI arXiv
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. (English) Zbl 1528.65103 SIAM J. Numer. Anal. 61, No. 5, 2460-2484 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N12 65N15 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 61, No. 5, 2460--2484 (2023; Zbl 1528.65103) Full Text: DOI arXiv
Hu, Qiya Convergence of the Hiptmair-Xu preconditioner for \(H(\mathbf{curl})\)-elliptic problems with jump coefficients. II: Main results. (English) Zbl 1527.65127 SIAM J. Numer. Anal. 61, No. 5, 2434-2459 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{Q. Hu}, SIAM J. Numer. Anal. 61, No. 5, 2434--2459 (2023; Zbl 1527.65127) Full Text: DOI
Yin, Lina; Huang, Yunqing; Tang, Qili A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics. (English) Zbl 1528.76047 Appl. Numer. Math. 193, 242-261 (2023). MSC: 76M10 65N30 76W05 PDFBibTeX XMLCite \textit{L. Yin} et al., Appl. Numer. Math. 193, 242--261 (2023; Zbl 1528.76047) Full Text: DOI
Li, Xiaolin; Li, Shuling Effect of an efficient numerical integration technique on the element-free Galerkin method. (English) Zbl 1528.65115 Appl. Numer. Math. 193, 204-225 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Li}, Appl. Numer. Math. 193, 204--225 (2023; Zbl 1528.65115) Full Text: DOI
Gatica, Gabriel N.; Inzunza, Cristian; Sequeira, Filánder A. New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. (English) Zbl 1528.65106 Appl. Numer. Math. 193, 148-178 (2023). MSC: 65N30 65J15 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Appl. Numer. Math. 193, 148--178 (2023; Zbl 1528.65106) Full Text: DOI
Cai, Zhiqiang; Yang, Jing An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data. (English) Zbl 1528.65102 Appl. Numer. Math. 193, 83-92 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{J. Yang}, Appl. Numer. Math. 193, 83--92 (2023; Zbl 1528.65102) Full Text: DOI
Zha, Yuanyuan; Li, Zhe; Yi, Lijun Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems. (English) Zbl 1528.65038 Appl. Numer. Math. 193, 67-82 (2023). MSC: 65L60 65L10 65L20 PDFBibTeX XMLCite \textit{Y. Zha} et al., Appl. Numer. Math. 193, 67--82 (2023; Zbl 1528.65038) Full Text: DOI
Min, Ya; Feng, Minfu Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model. (English) Zbl 1528.74104 Appl. Numer. Math. 193, 22-42 (2023). MSC: 74S05 65N30 65N15 76M10 PDFBibTeX XMLCite \textit{Y. Min} and \textit{M. Feng}, Appl. Numer. Math. 193, 22--42 (2023; Zbl 1528.74104) Full Text: DOI
Wang, Nian; Wang, Jinfeng; Liu, Yang; Li, Hong Local discontinuous Galerkin method for a nonlocal viscous water wave model. (English) Zbl 1528.76024 Appl. Numer. Math. 192, 431-453 (2023). MSC: 76D33 78M10 65M60 PDFBibTeX XMLCite \textit{N. Wang} et al., Appl. Numer. Math. 192, 431--453 (2023; Zbl 1528.76024) Full Text: DOI
Zhang, Meihui; Jia, Jinhong; Hendy, Ahmed S.; Zaky, Mahmoud A.; Zheng, Xiangcheng Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order. (English) Zbl 1528.91081 Appl. Numer. Math. 192, 414-430 (2023). MSC: 91G60 65M60 35R11 91G20 PDFBibTeX XMLCite \textit{M. Zhang} et al., Appl. Numer. Math. 192, 414--430 (2023; Zbl 1528.91081) Full Text: DOI
Holst, Michael; Licht, Martin Geometric transformation of finite element methods: theory and applications. (English) Zbl 1528.65109 Appl. Numer. Math. 192, 389-413 (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Holst} and \textit{M. Licht}, Appl. Numer. Math. 192, 389--413 (2023; Zbl 1528.65109) Full Text: DOI arXiv
Meng, Jian Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1527.65122 Appl. Numer. Math. 192, 356-372 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N35 65N50 65N15 35P15 37K15 35J15 PDFBibTeX XMLCite \textit{J. Meng}, Appl. Numer. Math. 192, 356--372 (2023; Zbl 1527.65122) Full Text: DOI
Acevedo, Ramiro; Gómez, Christian; López-Rodríguez, Bibiana; Salgado, Pilar Numerical analysis of a FEM based on a time-primitive of the electric field for solving a nonlinear transient eddy current problem. (English) Zbl 1528.78003 Appl. Numer. Math. 192, 261-279 (2023). MSC: 78M10 65M15 65M60 78A25 PDFBibTeX XMLCite \textit{R. Acevedo} et al., Appl. Numer. Math. 192, 261--279 (2023; Zbl 1528.78003) Full Text: DOI
Jiang, Nan; Yang, Huanhuan Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations. (English) Zbl 1528.76042 Appl. Numer. Math. 192, 241-260 (2023). MSC: 76M10 65M60 65M12 76B03 76D05 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{H. Yang}, Appl. Numer. Math. 192, 241--260 (2023; Zbl 1528.76042) Full Text: DOI
Zhang, Xiaodi; Long, Xiaonian Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations. (English) Zbl 1528.76048 Appl. Numer. Math. 192, 214-240 (2023). MSC: 76M10 65M12 65M60 76D05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Long}, Appl. Numer. Math. 192, 214--240 (2023; Zbl 1528.76048) Full Text: DOI arXiv
Kumar, Naresh; Dutta, Jogen; Deka, Bhupen \(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes. (English) Zbl 1528.65075 Appl. Numer. Math. 192, 84-103 (2023). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{N. Kumar} et al., Appl. Numer. Math. 192, 84--103 (2023; Zbl 1528.65075) Full Text: DOI
Lee, Eunjung An \(L^2\)-finite element approximation of the solution to div/curl-systems with nonempty null space. (English) Zbl 1528.65111 Appl. Numer. Math. 192, 70-83 (2023). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{E. Lee}, Appl. Numer. Math. 192, 70--83 (2023; Zbl 1528.65111) Full Text: DOI
Li, Wei; Huang, Pengzhan On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations. (English) Zbl 1527.76034 Appl. Numer. Math. 194, 1-17 (2023). MSC: 76M10 65M60 35Q30 76D05 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Huang}, Appl. Numer. Math. 194, 1--17 (2023; Zbl 1527.76034) Full Text: DOI
Ikramov, Akhmat Maoripovich; Polatov, Askhad Mukhamedzhanovich Finite element modeling of nonstationary problems of heat conduction under complex heat transfer. (English) Zbl 1523.80002 Izv. Irkutsk. Gos. Univ., Ser. Mat. 45, 104-120 (2023). MSC: 80M10 65M60 80A19 PDFBibTeX XMLCite \textit{A. M. Ikramov} and \textit{A. M. Polatov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 45, 104--120 (2023; Zbl 1523.80002) Full Text: DOI Link
Wang, Yongliang Basic theory of finite element method. (English) Zbl 07762575 Textbooks for Tomorrow’s Scientists. [s.l.]: Science Press; Les Ulis: EDP Sciences (ISBN 978-2-7598-2938-5/pbk; 978-2-7598-2939-2/ebook). xii, 210 p. (2023). MSC: 65-01 65M60 65N30 PDFBibTeX XMLCite \textit{Y. Wang}, Basic theory of finite element method. [s.l.]: Science Press; Les Ulis: EDP Sciences (2023; Zbl 07762575) Full Text: DOI
González-Santander, Juan Luis Analytic solution and numerical validation of the transient regime in dry surface grinding. (English) Zbl 1528.35198 J. Eng. Math. 142, Paper No. 7, 26 p. (2023). MSC: 35Q79 35K05 44A45 33C10 35A20 65M60 PDFBibTeX XMLCite \textit{J. L. González-Santander}, J. Eng. Math. 142, Paper No. 7, 26 p. (2023; Zbl 1528.35198) Full Text: DOI OA License
Zhang, Hongjuan; Wu, Boying; Meng, Xiong Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems. (English) Zbl 1528.65085 Sci. China, Math. 66, No. 11, 2641-2664 (2023). MSC: 65M60 65M12 65M15 76R50 PDFBibTeX XMLCite \textit{H. Zhang} et al., Sci. China, Math. 66, No. 11, 2641--2664 (2023; Zbl 1528.65085) Full Text: DOI arXiv
Carrasco, Sergio; Caucao, Sergio; Gatica, Gabriel N. New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations. (English) Zbl 07761549 J. Sci. Comput. 97, No. 3, Paper No. 61, 49 p. (2023). MSC: 65N30 65N12 65N15 35Q79 80A19 76R50 76D07 PDFBibTeX XMLCite \textit{S. Carrasco} et al., J. Sci. Comput. 97, No. 3, Paper No. 61, 49 p. (2023; Zbl 07761549) Full Text: DOI
Cesmelioglu, Aycil; Lee, Jeonghun J.; Rhebergen, Sander Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot’s consolidation model. (English) Zbl 07761548 J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023; Zbl 07761548) Full Text: DOI arXiv
Vo, Liet Higher order time discretization method for the stochastic Stokes equations with multiplicative noise. (English) Zbl 1528.65084 J. Sci. Comput. 97, No. 3, Paper No. 59, 23 p. (2023). MSC: 65M60 60H10 60H35 65C05 65C30 65N30 65N12 65N15 60G55 76D07 35R60 PDFBibTeX XMLCite \textit{L. Vo}, J. Sci. Comput. 97, No. 3, Paper No. 59, 23 p. (2023; Zbl 1528.65084) Full Text: DOI arXiv
Amigo, Danilo; Lepe, Felipe; Rivera, Gonzalo A virtual element method for the elasticity spectral problem allowing for small edges. (English) Zbl 1526.35137 J. Sci. Comput. 97, No. 3, Paper No. 54, 29 p. (2023). MSC: 35J25 65N15 65N25 65N30 65N12 74B05 PDFBibTeX XMLCite \textit{D. Amigo} et al., J. Sci. Comput. 97, No. 3, Paper No. 54, 29 p. (2023; Zbl 1526.35137) Full Text: DOI arXiv
Güçlü, Yaman; Hadjout, Said; Campos Pinto, Martin A broken FEEC framework for electromagnetic problems on mapped multipatch domains. (English) Zbl 1528.65071 J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65N30 65D07 65N25 78A25 78A30 58A12 35A01 35A02 35Q60 35Q61 PDFBibTeX XMLCite \textit{Y. Güçlü} et al., J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023; Zbl 1528.65071) Full Text: DOI arXiv OA License
Wang, Yangshuai; Wang, Hao Efficient a posteriori error control of a concurrent multiscale method with sharp interface for crystalline defects. (English) Zbl 1527.65132 J. Sci. Comput. 97, No. 2, Paper No. 51, 30 p. (2023). MSC: 65N30 65N50 65N12 65N15 74E15 82D25 81V55 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Wang}, J. Sci. Comput. 97, No. 2, Paper No. 51, 30 p. (2023; Zbl 1527.65132) Full Text: DOI
Chen, Xiaoli; Rosakis, Phoebus; Wu, Zhizhang; Zhang, Zhiwen Solving nonconvex energy minimization problems in martensitic phase transitions with a mesh-free deep learning approach. (English) Zbl 07761343 Comput. Methods Appl. Mech. Eng. 416, Article ID 116384, 20 p. (2023). MSC: 35R05 65N30 68T99 74A50 74G65 PDFBibTeX XMLCite \textit{X. Chen} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116384, 20 p. (2023; Zbl 07761343) Full Text: DOI
Jiao, Z.; Heblekar, T.; Wang, G.; Xu, R.; Chen, W.; Reddy, J. N. Analysis of plane elasticity problems using the dual mesh control domain method. (English) Zbl 1523.74172 Comput. Methods Appl. Mech. Eng. 416, Article ID 116342, 23 p. (2023). MSC: 74S05 65N30 65M50 74Bxx PDFBibTeX XMLCite \textit{Z. Jiao} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116342, 23 p. (2023; Zbl 1523.74172) Full Text: DOI
Nebel, Lisa Julia; Sander, Oliver; Bîrsan, Mircea; Neff, Patrizio A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements. (English) Zbl 07761306 Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023). MSC: 65N30 74K25 PDFBibTeX XMLCite \textit{L. J. Nebel} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116309, 38 p. (2023; Zbl 07761306) Full Text: DOI arXiv
Gu, Qiling; Chen, Yanping; Zhou, Jianwei; Huang, Yunqing A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. (English) Zbl 07761285 Int. J. Comput. Math. 100, No. 11, 2124-2139 (2023). MSC: 65M60 65N30 34K37 65M15 65M55 PDFBibTeX XMLCite \textit{Q. Gu} et al., Int. J. Comput. Math. 100, No. 11, 2124--2139 (2023; Zbl 07761285) Full Text: DOI
Aragón, Adriana; Fernández Bonder, Julián; Rubio, Diana Effective numerical computation of \(p(x)\)-Laplace equations in 2D. (English) Zbl 07761284 Int. J. Comput. Math. 100, No. 11, 2111-2123 (2023). MSC: 65N30 35J92 PDFBibTeX XMLCite \textit{A. Aragón} et al., Int. J. Comput. Math. 100, No. 11, 2111--2123 (2023; Zbl 07761284) Full Text: DOI arXiv
Binz, Tim; Kovács, Balázs A convergent finite element algorithm for mean curvature flow in arbitrary codimension. (English) Zbl 07761250 Interfaces Free Bound. 25, No. 3, 373-400 (2023). MSC: 65-XX 35R01 53E10 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{T. Binz} and \textit{B. Kovács}, Interfaces Free Bound. 25, No. 3, 373--400 (2023; Zbl 07761250) Full Text: DOI arXiv
Qin, Yi; Wang, Yang; Li, Yi; Li, Jian Analysis of a new adaptive time filter algorithm for the unsteady Stokes/Darcy model. (English) Zbl 1528.76044 Comput. Fluids 266, Article ID 106055, 13 p. (2023). MSC: 76M10 65M60 76D07 76S05 PDFBibTeX XMLCite \textit{Y. Qin} et al., Comput. Fluids 266, Article ID 106055, 13 p. (2023; Zbl 1528.76044) Full Text: DOI arXiv
Ahmed, Tazuddin; Baruah, Rashmita; Kumar, Raman A weak Galerkin finite-element method for singularly perturbed convection-diffusion-reaction problems with interface. (English) Zbl 07761014 Comput. Appl. Math. 42, No. 7, Paper No. 318, 16 p. (2023). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{T. Ahmed} et al., Comput. Appl. Math. 42, No. 7, Paper No. 318, 16 p. (2023; Zbl 07761014) Full Text: DOI
Galindo-Olarte, Andrés; Huang, Juntao; Ryan, Jennifer; Cheng, Yingda Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations. (English) Zbl 07760988 BIT 63, No. 4, Paper No. 52, 34 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M60 65M20 65L06 65M12 65M15 82D10 78A25 35Q83 35Q60 35R60 PDFBibTeX XMLCite \textit{A. Galindo-Olarte} et al., BIT 63, No. 4, Paper No. 52, 34 p. (2023; Zbl 07760988) Full Text: DOI arXiv
Lang, Annika; Pereira, Mike Galerkin-Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds. (English) Zbl 07760987 BIT 63, No. 4, Paper No. 51, 44 p. (2023). MSC: 60G60 60H35 60G15 58J05 58C40 41A10 65C30 65M60 PDFBibTeX XMLCite \textit{A. Lang} and \textit{M. Pereira}, BIT 63, No. 4, Paper No. 51, 44 p. (2023; Zbl 07760987) Full Text: DOI arXiv OA License
Cotter, C. J.; Shipton, J. A compatible finite element discretisation for the nonhydrostatic vertical slice equations. (English) Zbl 07760983 GEM. Int. J. Geomath. 14, Paper No. 25, 20 p. (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 76N10 76U60 76M10 76M20 86A10 35Q31 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{J. Shipton}, GEM. Int. J. Geomath. 14, Paper No. 25, 20 p. (2023; Zbl 07760983) Full Text: DOI arXiv
Yang, Zheyi; Mekkaoui, Imen; Hesthaven, Jan; Li, Jing-Rebecca Asymptotic models of the diffusion MRI signal accounting for geometrical deformations. (English) Zbl 1528.35216 MathS In Action 12, 65-85 (2023). MSC: 35Q92 92C55 92C20 35Q60 78A70 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{Z. Yang} et al., MathS In Action 12, 65--85 (2023; Zbl 1528.35216) Full Text: DOI
Ahmed, Hany. M. Highly accurate method for boundary value problems with Robin boundary conditions. (English) Zbl 1523.65062 J. Nonlinear Math. Phys. 30, No. 3, 1239-1263 (2023). MSC: 65L10 65L60 PDFBibTeX XMLCite \textit{Hany. M. Ahmed}, J. Nonlinear Math. Phys. 30, No. 3, 1239--1263 (2023; Zbl 1523.65062) Full Text: DOI OA License
Qiu, Jiali; Wang, Fei; Ling, Min; Zhao, Jikun The interior penalty virtual element method for the fourth-order elliptic hemivariational inequality. (English) Zbl 1523.65095 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107547, 17 p. (2023). MSC: 65N30 49J40 65K15 PDFBibTeX XMLCite \textit{J. Qiu} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107547, 17 p. (2023; Zbl 1523.65095) Full Text: DOI
Shang, Yong; Wang, Fei; Sun, Jingbo Randomized neural network with Petrov-Galerkin methods for solving linear and nonlinear partial differential equations. (English) Zbl 1525.65128 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107518, 20 p. (2023). MSC: 65N30 68T07 PDFBibTeX XMLCite \textit{Y. Shang} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107518, 20 p. (2023; Zbl 1525.65128) Full Text: DOI
Suzuki, Yasuyuki; Togame, Keigo; Nakamura, Akihiro; Nomura, Taishin A Markov chain approximation of switched Fokker-Planck equations for a model of on-off intermittency in the postural control during quiet standing. (English) Zbl 07758929 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107488, 19 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65C40 60J22 65C05 34F05 37D45 70Q05 92C10 93B52 35A24 35R07 35R09 35R60 35Q84 PDFBibTeX XMLCite \textit{Y. Suzuki} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107488, 19 p. (2023; Zbl 07758929) Full Text: DOI arXiv
Rahimkhani, Parisa Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks. (English) Zbl 07758918 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107466, 20 p. (2023). MSC: 65C30 60H35 60H20 65L60 65T60 PDFBibTeX XMLCite \textit{P. Rahimkhani}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107466, 20 p. (2023; Zbl 07758918) Full Text: DOI
He, Yuyu; Chen, Hongtao; Chen, Hang Stability and temporal error analysis for SAV schemes for electrohydrodynamic model with variable density. (English) Zbl 1523.76060 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107434, 26 p. (2023). MSC: 76M10 65M12 65M15 65M60 76W05 PDFBibTeX XMLCite \textit{Y. He} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107434, 26 p. (2023; Zbl 1523.76060) Full Text: DOI