Bifulco, Patrizio; Mugnolo, Delio On the \(p\)-torsional rigidity of combinatorial graphs. (English) Zbl 07955755 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113694, 30 p. (2025). MSC: 34B45 35P15 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López-Gómez, Julián; Sampedro, Juan Carlos Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems. (English) Zbl 07955754 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113693, 9 p. (2025). MSC: 65P30 65N06 35J25 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van Tran, Bang; Ngoan Tien Ha; Tho Huu Nguyen; Phan, Tien Trong The Dirichlet problem for nonsymmetric augmented \(k\)-Hessian type equations. (English) Zbl 07955746 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113684, 22 p. (2025). MSC: 35A01 35A02 35G30 35J25 35J60 35J96 × Cite Format Result Cite Review PDF Full Text: DOI
Shahrokhi-Dehkordi, M. S. Radially symmetric \(\sigma_{2,p}\)-harmonic maps from \(n\)-dimensional annuli into sphere. (English) Zbl 07955744 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113682, 11 p. (2025). MSC: 49J05 34B15 58E20 49N60 76A15 × Cite Format Result Cite Review PDF Full Text: DOI
Anello, Giovanni; Vilasi, Luca Positive solutions for a Kirchhoff problem of Brezis-Nirenberg type in dimension four. (English) Zbl 07955737 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113675, 17 p. (2025). MSC: 35J20 35J25 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Bojing Uniform boundary estimates for Neumann problems in parabolic homogenization. (English) Zbl 07955225 Anal. Appl., Singap. 23, No. 1, 31-63 (2025). MSC: 35B27 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hangelbroek, Thomas; Rieger, Christian Kernel multigrid on manifolds. (English) Zbl 07955055 J. Complexity 86, Article ID 101900, 26 p. (2025). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Sitao; Liu, Lin; Ge, Zhixia; Liu, Yu; Feng, Libo; Wang, Jihong Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions. (English) Zbl 07954724 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108407, 17 p. (2025). MSC: 65M06 65N06 65M12 65T50 44A10 26A33 35R11 81Q05 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Renjie; Xu, Yezi; Fu, Hao; Yan, Dong Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation. (English) Zbl 07954717 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108400, 15 p. (2025). MSC: 65M06 65N06 65P10 37M15 35C08 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng; Bi, Jingjiang; Wang, Nan Structure-preserving weighted BDF2 methods for anisotropic Cahn-Hilliard model: uniform/variable-time-steps. (English) Zbl 07954713 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108395, 23 p. (2025). MSC: 65N30 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Song, Xiaoji; Chu, Xiaochen; Zhang, Tong; Yang, Pengliang A stabilized finite volume method based on the rotational pressure correction projection for the time-dependent incompressible MHD equations. (English) Zbl 07954707 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108389, 25 p. (2025). MSC: 65M08 65M60 65M06 65N08 65N30 65M15 65M12 76W05 76U05 76M12 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuemiao; Shi, Dongyang Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation. (English) Zbl 07954705 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108387, 14 p. (2025). MSC: 65M60 65M06 65N30 65M12 65D05 47H10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
An, Rong; Wan, Weiwen Uniform error analysis of an exponential IMEX-SAV method for the incompressible flows with large Reynolds number based on grad-div stabilization. (English) Zbl 07954704 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108386, 13 p. (2025). MSC: 35Q30 65M12 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mengjie; He, Mingyan; Sun, Pengtao Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations. (English) Zbl 07954703 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108385, 18 p. (2025). MSC: 65N30 65N12 78A30 78A57 76X05 81V74 35J15 76M10 35Q20 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Shanshan; Chen, Yanping Unconditional error analysis of weighted implicit-explicit virtual element method for nonlinear neutral delay-reaction-diffusion equation. (English) Zbl 07954702 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108384, 23 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 65H10 35K57 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Jia, Xu; Yang, Jinjin Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity. (English) Zbl 07954701 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108383, 14 p. (2025). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Liu, Zhengguang; Meng, Xiaoqing Partially and fully implicit multi-step SAV approaches with original dissipation law for gradient flows. (English) Zbl 07954697 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108379, 23 p. (2025). MSC: 65M12 35K20 35K35 35K55 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Chao; Liang, Yong; Zou, Min; Lei, Tong; Liu, Mingwei The control for multiple kinds of solitons generated in the nonlinear fractional Schrödinger optical system based on Hermite-Gaussian beams. (English) Zbl 07954693 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108375, 19 p. (2025). MSC: 35Qxx 35Cxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; An, Na; Yu, Xijun; Chen, Hu Pointwise-in-time error analysis of the corrected L1 scheme for a time-fractional sine-Gordon equation. (English) Zbl 07954688 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108370, 11 p. (2025). MSC: 65M06 65N06 65M12 65M15 35A21 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Guerrero, F.; Castillo, E.; Galarce, F.; Pacheco, D. R. Q. Spatially and temporally high-order dynamic nonlinear variational multiscale methods for generalized Newtonian flows. (English) Zbl 07954686 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108368, 21 p. (2025). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, B. Rushi; Mohana, C. M. Thermal and entropy analysis of ternary hybrid nanofluid using Keller box method. (English) Zbl 07954684 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108366, 21 p. (2025). MSC: 76M28 65M75 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Mengru; Wu, Jilian; Li, Ning; Feng, Xinlong An analysis of second-order sav-filtered time-stepping finite element method for unsteady natural convection problems. (English) Zbl 07954683 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108365, 23 p. (2025). MSC: 65N12 65N30 65N50 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xue; Gu, Xian-Ming; Zhao, Yong-Liang Two fast finite difference methods for a class of variable-coefficient fractional diffusion equations with time delay. (English) Zbl 07954676 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108358, 17 p. (2025). MSC: 65L04 65L20 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Minghao; Shi, Dongyang; Li, Zhenzhen Convergence and superconvergence analysis for a mass conservative, energy stable and linearized BDF2 scheme of the Poisson-Nernst-Planck equations. (English) Zbl 07954669 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108351, 19 p. (2025). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids. (English) Zbl 07954668 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108350, 26 p. (2025). MSC: 76M10 76A10 65M60 65M22 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Shanshan; Huo, Fuchang; Zhou, Huifang A stabilizer free weak Galerkin method with implicit \(\theta\)-schemes for fourth order parabolic problems. (English) Zbl 07954667 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108349, 30 p. (2025). MSC: 65N15 65N30 35J50 35J35 35G15 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Xuhao; Zhou, Zhikun; Liu, Hengjie; Chen, Ziguang Evaluating the effects of nonlocality and numerical discretization in peridynamic solutions for quasi-static elasticity and fracture. (English) Zbl 07954663 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108343, 14 p. (2025). MSC: 74A70 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jun; Zhang, Hao; Liu, Mengmeng; Xu, Da Explicit exponential Runge-Kutta methods for semilinear time-fractional integro-differential equations. (English) Zbl 07954658 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108332, 19 p. (2025). MSC: 65M12 65M22 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Odibat, Zaid Numerical discretization of initial-boundary value problems for PDEs with integer and fractional order time derivatives. (English) Zbl 07954657 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108331, 12 p. (2025). MSC: 65Mxx 65Lxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qinghui; Huang, Pengzhan; He, Yinnian A generalized scalar auxiliary variable approach for the Navier-Stokes-\(\omega\)/Navier-Stokes-\(\omega\) equations based on the grad-div stabilization. (English) Zbl 07954655 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108329, 9 p. (2025). MSC: 65Mxx 76Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Lunyov, Anton A.; Malamud, Mark M. On the completeness property of root vector systems for \(2 \times 2\) Dirac type operators with non-regular boundary conditions. (English) Zbl 07954253 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128949, 42 p. (2025). MSC: 34Lxx 34Bxx 47Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Afonso, Danilo Gregorin Semilinear equations in bounded cylinders: Morse index and bifurcation from one-dimensional solutions. (English) Zbl 07954248 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128918, 21 p. (2025). MSC: 35J91 35J25 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herrón, Sigifredo; Lopera, Emer; Sánchez, Diana Solutions for a problem involving a \(\phi\)-Laplacian-like operator via energy analysis, phase plane and shooting method. (English) Zbl 07954244 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128910, 36 p. (2025). MSC: 35J62 35J25 35B06 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Suo, Jianqing Dependence of eigenvalues of fourth-order Sturm-Liouville problems on canonical boundary conditions. (English) Zbl 07954228 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128890, 15 p. (2025). MSC: 34Bxx 34Lxx 65Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Janodet, Romain; van Wachem, Berend; Denner, Fabian A fully-coupled algorithm with implicit surface tension treatment for interfacial flows with large density ratios. (English) Zbl 07954009 J. Comput. Phys. 520, Article ID 113520, 22 p. (2025). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Svärd, Magnus; Kalisch, Henrik A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation. (English) Zbl 07954008 J. Comput. Phys. 520, Article ID 113516, 19 p. (2025). MSC: 76Bxx 65Mxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Pengfei; Zheng, Hui; Xiong, Jingang; Rabczuk, Timon The localized radial basis function collocation method for dendritic solidification, solid phase sintering and wetting phenomenon based on phase field. (English) Zbl 07954007 J. Comput. Phys. 520, Article ID 113515, 26 p. (2025). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Mossier, Pascal; Jöns, Steven; Chiocchetti, Simone; Beck, Andrea D.; Munz, Claus-Dieter Numerical simulation of phase transition with the hyperbolic Godunov-Peshkov-Romenski model. (English) Zbl 07954006 J. Comput. Phys. 520, Article ID 113514, 25 p. (2025). MSC: 76Mxx 65Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carson, Allison M.; Banks, Jeffrey W.; Henshaw, William D.; Schwendeman, Donald W. High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids. (English) Zbl 07954005 J. Comput. Phys. 520, Article ID 113513, 32 p. (2025). MSC: 65Mxx 35Lxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Xianyi; Song, Ting; Scovazzi, Guglielmo A shifted boundary method for the compressible Euler equations. (English) Zbl 07954004 J. Comput. Phys. 520, Article ID 113512, 29 p. (2025). MSC: 65M85 35L04 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Lilly, Jeremy R.; Capodaglio, Giacomo; Engwirda, Darren; Higdon, Robert L.; Petersen, Mark R. Local time-stepping for the shallow water equations using CFL optimized forward-backward Runge-Kutta schemes. (English) Zbl 07954003 J. Comput. Phys. 520, Article ID 113511, 24 p. (2025). MSC: 65Mxx 76Mxx 86Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sidilkover, David Spurious vorticity in Eulerian and Lagrangian methods. (English) Zbl 07954002 J. Comput. Phys. 520, Article ID 113510, 30 p. (2025). MSC: 76Mxx 65Mxx 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Kopriva, David A.; Winters, Andrew R.; Nordström, Jan Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. (English) Zbl 07954001 J. Comput. Phys. 520, Article ID 113508, 28 p. (2025). MSC: 65Mxx 35Lxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wei; Cui, Shumo; Wu, Kailiang; Xiong, Tao Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks. (English) Zbl 07954000 J. Comput. Phys. 520, Article ID 113507, 24 p. (2025). MSC: 65M60 65M12 76A30 35L65 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Mengdi; Cong, Matthew; Zhu, Bo An interface tracking method with triangle edge cuts. (English) Zbl 07953997 J. Comput. Phys. 520, Article ID 113504, 25 p. (2025). MSC: 76Mxx 76Txx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gillard, Mike; Szmelter, Joanna; Cocetta, Francesco Preconditioning elliptic operators in high-performance all-scale atmospheric models on unstructured meshes. (English) Zbl 07953996 J. Comput. Phys. 520, Article ID 113503, 15 p. (2025). MSC: 65Mxx 76Mxx 86Axx × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Hong; Hong, Haifeng; Nie, Chunsheng; Fang, Hong; Xie, Liang Multi-body mesh deformation using a multi-level localized dual-restricted radial basis function interpolation. (English) Zbl 07953995 J. Comput. Phys. 520, Article ID 113502, 22 p. (2025). MSC: 76Mxx 65Nxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Zheng; Zhang, Yanbing; Wu, Lei General synthetic iterative scheme for non-equilibrium dense gas flows. (English) Zbl 07953994 J. Comput. Phys. 520, Article ID 113501, 20 p. (2025). MSC: 76Mxx 76Pxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Lei; Zhou, Lingling; Xia, Yinhua The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws. (English) Zbl 07953991 J. Comput. Phys. 520, Article ID 113498, 24 p. (2025). MSC: 65Mxx 76Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Lin; Li, Xiang-Gui; Yan, Wei; Zhang, Ran The energy-diminishing weak Galerkin finite element method for the computation of ground state and excited states in Bose-Einstein condensates. (English) Zbl 07953990 J. Comput. Phys. 520, Article ID 113497, 15 p. (2025). MSC: 65Nxx 35Qxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Khedkar, Kaustubh; Mamaghani, Amirreza Charchi; Ghysels, Pieter; Patankar, Neelesh A.; Bhalla, Amneet Pal Singh Preventing mass loss in the standard level set method: new insights from variational analyses. (English) Zbl 07953988 J. Comput. Phys. 520, Article ID 113495, 40 p. (2025). MSC: 76Mxx 76Txx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Wenbo; Zhang, Weiwei An analysis and solution of ill-conditioning in physics-informed neural networks. (English) Zbl 07953987 J. Comput. Phys. 520, Article ID 113494, 13 p. (2025). MSC: 68Txx 65Mxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Permyakova, Evelina V.; Goldobin, Denis S. High-order schemes of exponential time differencing for stiff systems with nondiagonal linear part. (English) Zbl 07953986 J. Comput. Phys. 520, Article ID 113493, 17 p. (2025). MSC: 65Mxx 65Lxx 92Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Yunhong; Shao, Sihong; Mogilner, Alex; Xia, Mingtao Adaptive hyperbolic-cross-space mapped Jacobi method on unbounded domains with applications to solving multidimensional spatiotemporal integrodifferential equations. (English) Zbl 07953985 J. Comput. Phys. 520, Article ID 113492, 17 p. (2025). MSC: 65Mxx 65Nxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chao; Guo, Hui; Yan, Xia; Shi, Zhang-Lei; Yang, Yang Improved physics-informed neural networks for the reinterpreted discrete fracture model. (English) Zbl 07953984 J. Comput. Phys. 520, Article ID 113491, 19 p. (2025). MSC: 76Mxx 76Sxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Dilong; Guiraldello, Rafael T.; Pereira, Felipe Multiscale mixed methods with improved accuracy: the role of oversampling and smoothing. (English) Zbl 07953983 J. Comput. Phys. 520, Article ID 113490, 19 p. (2025). MSC: 65Nxx 76Sxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batlle, Pau; Chen, Yifan; Hosseini, Bamdad; Owhadi, Houman; Stuart, Andrew M. Error analysis of kernel/GP methods for nonlinear and parametric PDEs. (English) Zbl 07953981 J. Comput. Phys. 520, Article ID 113488, 23 p. (2025). MSC: 60G15 65M75 65N75 65N35 47B34 41A15 35R30 34B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jordan, Josiah J. P.; Lockerby, Duncan A. The method of fundamental solutions for multi-particle Stokes flows: application to a ring-like array of spheres. (English) Zbl 07953980 J. Comput. Phys. 520, Article ID 113487, 29 p. (2025). MSC: 76Dxx 76Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Weizhu; Chang, Zhipeng; Zhao, Xiaofei Computing ground states of Bose-Einstein condensation by normalized deep neural network. (English) Zbl 07953979 J. Comput. Phys. 520, Article ID 113486, 23 p. (2025). MSC: 68Txx 65Mxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Cheng; Hu, Yiding; Gao, Ruoqing; Hu, Changhong Robust treatment for the coarse/fine interface of adaptive mesh in the simulation of two-phase flow. (English) Zbl 07953978 J. Comput. Phys. 520, Article ID 113485, 22 p. (2025). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Esmaily, Mahdi; Jia, Dongjie An augmented streamline upwind/Petrov-Galerkin method for the time-spectral convection-diffusion equation. (English) Zbl 07953977 J. Comput. Phys. 520, Article ID 113484, 27 p. (2025). MSC: 76Mxx 65Nxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Ishimwe, Ange Pacifique; Deleersnijder, Eric; Legat, Vincent; Lambrechts, Jonathan A multi-scale IMEX second order Runge-Kutta method for 3D hydrodynamic ocean models. (English) Zbl 07953975 J. Comput. Phys. 520, Article ID 113482, 22 p. (2025). MSC: 76Mxx 65Lxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhai, Qijia; Zhang, Shiquan; Sun, Pengtao; Xie, Xiaoping A projection-based time-segmented reduced order model for fluid-structure interactions. (English) Zbl 07953974 J. Comput. Phys. 520, Article ID 113481, 22 p. (2025). MSC: 65Mxx 76Mxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chuanqi; Wu, Jin-Long Neural dynamical operator: continuous spatial-temporal model with gradient-based and derivative-free optimization methods. (English) Zbl 07953973 J. Comput. Phys. 520, Article ID 113480, 24 p. (2025). MSC: 68Txx 65Nxx 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xun; Guo, Hongping; Shen, Zhijun A staggered Lagrangian magnetohydrodynamics method based on subcell Riemann solver. (English) Zbl 07953972 J. Comput. Phys. 520, Article ID 113479, 26 p. (2025). MSC: 76Mxx 76Wxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yu; Cheng, Jin; Li, Tingyue; Miao, Yun A learning based numerical method for Helmholtz equations with high frequency. (English) Zbl 07953971 J. Comput. Phys. 520, Article ID 113478, 20 p. (2025). MSC: 65Nxx 35Jxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paul Laiu, M.; Endeve, Eirik; Austin Harris, J.; Elledge, Zachary; Mezzacappa, Anthony DG-IMEX method for a two-moment model for radiation transport in the \(\mathcal{O}(v/c)\) limit. (English) Zbl 07953970 J. Comput. Phys. 520, Article ID 113477, 44 p. (2025). MSC: 65Mxx 65Lxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caldana, Matteo; Antonietti, Paola F.; Dede’, Luca Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning. (English) Zbl 07953969 J. Comput. Phys. 520, Article ID 113476, 25 p. (2025). MSC: 35L65 65M60 68T01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jiahui; Xia, Yinhua; Xu, Yan Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations. (English) Zbl 07953966 J. Comput. Phys. 520, Article ID 113473, 34 p. (2025). MSC: 65Mxx 35Lxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ranocha, Hendrik; Winters, Andrew R.; Schlottke-Lakemper, Michael; Öffner, Philipp; Glaubitz, Jan; Gassner, Gregor J. On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. (English) Zbl 07953964 J. Comput. Phys. 520, Article ID 113471, 32 p. (2025). MSC: 65M06 65M20 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sitnikov, S. S.; Tcheremissine, F. G. A method for numerical simulation of shock waves in rarefied gas mixtures based on direct solution of the Boltzmann kinetic equation. (English) Zbl 07953963 J. Comput. Phys. 520, Article ID 113463, 36 p. (2025). MSC: 76Pxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Medrado, Saulo R.; Sobral, Yuri D. Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials. (English) Zbl 07953962 J. Comput. Phys. 520, Article ID 113462, 26 p. (2025). MSC: 65N30 65N12 65N15 47H10 47J26 76D05 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Ling; Yang, Yan-Tao; Cai, Qing-Dong A fourth-order compact finite volume method on unstructured grids for simulation of two-dimensional incompressible flow. (English) Zbl 07953961 J. Comput. Phys. 520, Article ID 113461, 24 p. (2025). MSC: 65Mxx 76Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Haohan; Li, Xinliang; Fu, Lin A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing. (English) Zbl 07953959 J. Comput. Phys. 520, Article ID 113459, 20 p. (2025). MSC: 65Mxx 76Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Song, Suihong; Mukerji, Tapan; Zhang, Dongxiao Physics-informed multi-grid neural operator: theory and an application to porous flow simulation. (English) Zbl 07953957 J. Comput. Phys. 520, Article ID 113438, 24 p. (2025). MSC: 68Txx 65Mxx 86Axx × Cite Format Result Cite Review PDF Full Text: DOI
Fabiani, Gianluca; Kevrekidis, Ioannis G.; Siettos, Constantinos; Yannacopoulos, Athanasios N. RandONets: shallow networks with random projections for learning linear and nonlinear operators. (English) Zbl 07953956 J. Comput. Phys. 520, Article ID 113433, 22 p. (2025). MSC: 65M32 65D12 65J22 41A35 68T20 65D15 68T07 68W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Lixiang; Li, Zhaoxiang; Wang, Peipei; Yi, Lijun Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation. (English) Zbl 07952208 Appl. Numer. Math. 207, 621-641 (2025). MSC: 65N35 65N12 65N15 35J96 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Xiaojuan; Cai, Yongyong Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows. (English) Zbl 07952206 Appl. Numer. Math. 207, 585-607 (2025). MSC: 65M60 65M06 65N30 65M12 76W05 76T06 76D05 78A25 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Gritsans, Armands; Sadyrbaev, Felix On differential equations with exponential nonlinearities. (English) Zbl 07952204 Appl. Numer. Math. 207, 558-568 (2025). MSC: 34Bxx 80Axx 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Shridhar; Das, Pratibhamoy A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: optimal accuracy with less computational time. (English) Zbl 07952203 Appl. Numer. Math. 207, 534-557 (2025). MSC: 35K40 35K51 49K20 90C31 90C46 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Raina, Aayushman; Natesan, Srinivasan A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh. (English) Zbl 07952202 Appl. Numer. Math. 207, 520-533 (2025). MSC: 65N30 65N15 35J30 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Huailing; Tan, Qingkui Stability analysis and error estimates of implicit-explicit Runge-Kutta least squares RBF-FD method for time-dependent parabolic equation. (English) Zbl 07952201 Appl. Numer. Math. 207, 499-519 (2025). MSC: 65N30 65N12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Yanxia; Zhang, Yongchao; Huang, Yunqing Error analysis of positivity-preserving energy stable schemes for the modified phase field crystal model. (English) Zbl 07952200 Appl. Numer. Math. 207, 470-498 (2025). MSC: 65Mxx 35Kxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Hui; Qi, Wenya Weak Galerkin finite element method with the total pressure variable for Biot’s consolidation model. (English) Zbl 07952199 Appl. Numer. Math. 207, 450-469 (2025). MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Teng; Ma, Ying Optimal error bounds of the time-splitting sine-pseudospectral method for the biharmonic nonlinear Schrödinger equation. (English) Zbl 07952197 Appl. Numer. Math. 207, 414-430 (2025). MSC: 35Q41 65M15 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Bejaoui, E.; Ben Belgacem, F. Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources. (English) Zbl 07952196 Appl. Numer. Math. 207, 400-413 (2025). MSC: 65Nxx 92Cxx 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Eunjung; Shin, Youngmin A novel least squares approach generating approximations orthogonal to the null space of the operator. (English) Zbl 07952194 Appl. Numer. Math. 207, 370-383 (2025). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Shao, Wenting; Chen, Cheng A fourth order Runge-Kutta type of exponential time differencing and triangular spectral element method for two dimensional nonlinear Maxwell’s equations. (English) Zbl 07952193 Appl. Numer. Math. 207, 348-369 (2025). MSC: 35Q61 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Lemos-Silva, Márcia; Vaz, Sandra; Torres, Delfim F. M. Exact solution for a discrete-time SIR model. (English) Zbl 07952192 Appl. Numer. Math. 207, 339-347 (2025). MSC: 65L10 65L12 39A30 92-10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elango, Sekar; Govindarao, L.; Vadivel, R. A comparative study on numerical methods for Fredholm integro-differential equations of convection-diffusion problem with integral boundary conditions. (English) Zbl 07952191 Appl. Numer. Math. 207, 323-338 (2025). MSC: 65R20 65L11 45J05 65L10 × Cite Format Result Cite Review PDF Full Text: DOI
Jeong, SeongHee; Lee, Sanghyun Optimal control for Darcy’s equation in a heterogeneous porous media. (English) Zbl 07952190 Appl. Numer. Math. 207, 303-322 (2025). MSC: 65Nxx 49Mxx 49Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhaowei; Wang, Danxia; Chen, Yanping; Zhang, Chenhui; Jia, Hongen Numerical approximation for the MHD equations with variable density based on the gauge-Uzawa method. (English) Zbl 07952189 Appl. Numer. Math. 207, 272-302 (2025). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Rakesh; Kant, Kapil; Kumar, B. V. Rathish Superconvergent scheme for a system of Green Fredholm integral equations. (English) Zbl 07952188 Appl. Numer. Math. 207, 254-271 (2025). MSC: 65R20 65L10 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Dianming; Zhang, Tianxiang; Zhu, Hongyi A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility. (English) Zbl 07952186 Appl. Numer. Math. 207, 222-243 (2025). MSC: 65M06 65M15 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Kashif, Mohd; Singh, Manpal Existence, uniqueness and Ulam-Hyers stability result for variable order fractional predator-prey system and it’s numerical solution. (English) Zbl 07952184 Appl. Numer. Math. 207, 193-209 (2025). MSC: 34Axx 65Mxx 26Axx × Cite Format Result Cite Review PDF Full Text: DOI
Clavero, C.; Jorge, J. C. An efficient uniformly convergent method for multi-scaled two dimensional parabolic singularly perturbed systems of convection-diffusion type. (English) Zbl 07952183 Appl. Numer. Math. 207, 174-192 (2025). MSC: 65Mxx 65Lxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Barman, Mrityunjoy; Natesan, Srinivasan; Sendur, Ali A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems. (English) Zbl 07952180 Appl. Numer. Math. 207, 111-135 (2025). MSC: 65Mxx 35Bxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Cuomo, Salvatore; De Rosa, Mariapia; Piccialli, Francesco; Pompameo, Laura; Vocca, Vincenzo A numerical approach for soil microbiota growth prediction through physics-informed neural network. (English) Zbl 07952179 Appl. Numer. Math. 207, 97-110 (2025). MSC: 68Txx 35Rxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhen Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization. (English) Zbl 07952177 Appl. Numer. Math. 207, 58-85 (2025). MSC: 76M12 35L65 65M08 × Cite Format Result Cite Review PDF Full Text: DOI
Di Gironimo, Patrizia; Monsurrò, Sara; Zecca, Gabriella On some noncoercive nonlinear problems in unbounded domains. (English) Zbl 07951789 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 8, 20 p. (2025). MSC: 35A15 35J25 35B65 × Cite Format Result Cite Review PDF Full Text: DOI