Allegrini, Paola; Vignal, Marie-Hélène Study of a new low-oscillating second-order all-Mach number IMEX finite volume scheme for the full Euler equations. (English) Zbl 07979709 SIAM J. Sci. Comput. 47, No. 1, A268-A299 (2025). MSC: 65M08 65M12 65M15 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Ngondiep, Eric An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients. (English) Zbl 07979090 Comput. Math. Appl. 180, 279-298 (2025). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Langer, Ulrich; Löscher, Richard; Steinbach, Olaf; Yang, Huidong Robust finite element solvers for distributed hyperbolic optimal control problems. (English) Zbl 07979085 Comput. Math. Appl. 180, 166-190 (2025). MSC: 49J20 49M05 35L05 65M60 65M15 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suliman, Muhammad; Ibrahim, Muhammad; Algehyne, Ebrahem A.; Ali, Vakkar A study of an efficient numerical method for solving the generalized fractional reaction-diffusion model involving a distributed-order operator along with stability analysis. (English) Zbl 07979079 Comput. Math. Appl. 180, 61-75 (2025). MSC: 26A33 35R11 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Abbaszadeh, Mostafa; Parvizi, Maryam; Khodadadian, Amirreza; Wick, Thomas; Dehghan, Mehdi A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. (English) Zbl 07979071 Comput. Math. Appl. 179, 197-211 (2025). MSC: 65M70 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jiliang; Wang, Wansheng; Xiao, Aiguo Adaptive fast \(L1-2\) scheme for solving time fractional parabolic problems. (English) Zbl 07979065 Comput. Math. Appl. 179, 59-76 (2025). MSC: 65M15 65M50 65M06 65M12 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Zhaopeng; Cai, Zhiqiang; Zhang, Zhongqiang Fractional-order dependent radial basis functions meshless methods for the integral fractional Laplacian. (English) Zbl 07979059 Comput. Math. Appl. 178, 197-213 (2025). MSC: 35B65 65M70 41A25 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Zhijie; Feng, Hanmeng Numerical dynamics and optimal control for multi-strain age-structured epidemic model. (English) Zbl 07978972 J. Math. Biol. 90, No. 2, Paper No. 17, 26 p. (2025). MSC: 37N25 92D30 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruo; Zhong, Wei Preventing numerical oscillations in the efficient component-wise WENO-ACM method for compressible flows with discontinuities. (English) Zbl 07978680 Comput. Appl. Math. 44, No. 1, Paper No. 90, 34 p. (2025). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Jang, Yongseok; Bonelle, Jérôme; Kruse, Carola; Hülsemann, Frank; Rüde, Ulrich Fast linear solvers for incompressible CFD simulations with compatible discrete operator schemes. (English) Zbl 07978669 Comput. Appl. Math. 44, No. 1, Paper No. 79, 36 p. (2025). MSC: 65F08 65F10 65M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yongtao; Qin, Hongyu; Stynes, Martin A second-order implicit-explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction-subdiffusion problems. (English) Zbl 07978325 Calcolo 62, No. 1, Paper No. 10, 31 p. (2025). MSC: 35B65 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wanxiang; Chen, Yanping; Liang, Qin Unified analysis of conforming and nonconforming virtual element methods for nonlinear Sobolev equations. (English) Zbl 07978322 Calcolo 62, No. 1, Paper No. 7, 43 p. (2025). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Teng, Xueqing; Gao, Zhongxiong; Zhang, Hong; Qian, Xu; Song, Songhe Maximum-principle-preserving, delay-free parametric relaxation integrating factor Runge-Kutta schemes for the conservative nonlocal Allen-Cahn equation. (English) Zbl 07978264 Discrete Contin. Dyn. Syst., Ser. B 30, No. 5, 1472-1498 (2025). MSC: 65L06 65M12 65R20 35B50 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Hui; Bao, Feng Solving high dimensional FBSDE with deep signature techniques with application to nonlinear options pricing. (English) Zbl 07978249 Discrete Contin. Dyn. Syst., Ser. B 30, No. 4, 1083-1105 (2025). MSC: 65C30 60H35 65M75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ancona, Fabio; Bentaibi, Mohamed; Rossi, Francesco On the continuum limit of the follow-the-leader model and its stability. (English) Zbl 07978213 Discrete Contin. Dyn. Syst. 45, No. 5, 1366-1398 (2025). MSC: 65M75 34D20 35L65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osborne, Yohance A. P.; Smears, Iain Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians. (English) Zbl 07978171 Numer. Math. 157, No. 1, 165-211 (2025). MSC: 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Genming; Leykekhman, Dmitriy; Li, Buyang Weak maximum principle of finite element methods for parabolic equations in polygonal domains. (English) Zbl 07978169 Numer. Math. 157, No. 1, 97-142 (2025). MSC: 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alber, Christian; Ma, Chupeng; Scheichl, Robert A mixed multiscale spectral generalized finite element method. (English) Zbl 07978167 Numer. Math. 157, No. 1, 1-40 (2025). MSC: 65M60 65N15 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sapagovas, Mifodijus; Novickij, Jurij; Pupalaigė, Kristina On stability and convergence of difference schemes for one class of parabolic equations with nonlocal condition. (English) Zbl 07977997 Nonlinear Anal., Model. Control 30, No. 1, 135-155 (2025). MSC: 65M06 65N06 65N25 65M12 15A18 35K20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yang, Xuehua; Wang, Wan; Zhou, Ziyi; Zhang, Haixiang An efficient compact difference method for the fourth-order nonlocal subdiffusion problem. (English) Zbl 07977961 Taiwanese J. Math. 29, No. 1, 35-66 (2025). MSC: 45K05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Klibanov, Michael V.; Li, Jingzhi; Yang, Zhipeng Convexification numerical method for a coefficient inverse problem for the system of nonlinear parabolic equations governing mean field games. (English) Zbl 07977861 Inverse Probl. Imaging 19, No. 2, 219-252 (2025). MSC: 35R30 35Q89 65M32 91A16 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Wenpin; Tran, Hung Vinh; Zhang, Yuming Paul Policy iteration for the deterministic control problems – a viscosity approach. (English) Zbl 07977246 SIAM J. Control Optim. 63, No. 1, 375-401 (2025). MSC: 49L25 65M06 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Zi-Jia; Khan, Akhtar A.; Sama, Miguel; Zălinescu, Adrian Estimating random coefficients in mixed variational problems with an application to the stochastic elasticity imaging inverse problem for tumor identification. (English) Zbl 07977105 J. Convex Anal. 32, No. 2, 321-357 (2025). MSC: 35R30 49N45 65J20 65J22 65M30 × Cite Format Result Cite Review PDF Full Text: Link
Shan, Fang; Yu, Hao; Chai, Zhenhua; Xu, Yanfang; Shi, Baochang Deep neural network for oscillation dynamics of capillary rise. (English) Zbl 07976978 Adv. Appl. Math. Mech. 17, No. 2, 663-680 (2025). MSC: 65L05 65M99 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Lina; Wang, Cheng; Xia, Zeyu Convergence analysis of a BDF finite element method for the resistive magnetohydrodynamic equations. (English) Zbl 07976977 Adv. Appl. Math. Mech. 17, No. 2, 633-662 (2025). MSC: 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yue; Gao, Zhen; Li, Peng; Gu, Yaguang High order well-balanced finite difference AWENO scheme for ripa and pollutant transport systems. (English) Zbl 07976974 Adv. Appl. Math. Mech. 17, No. 2, 554-579 (2025). MSC: 35L65 65M06 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruo; Liu, Qicheng; Zhao, Shuhai A finite element method by patch reconstruction for the quad-curl problem using mixed formulations. (English) Zbl 07976972 Adv. Appl. Math. Mech. 17, No. 2, 517-537 (2025). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Yuan; Qin, Zuojian; Chen, Siwei; Shu, Shi; Yuan, Haizhuan Two-relaxation-time regularized lattice Boltzmann model for Navier-Stokes equations. (English) Zbl 07976971 Adv. Appl. Math. Mech. 17, No. 2, 489-516 (2025). MSC: 76M25 65M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Juan; Li, Shifeng; Jiang, Kai Two efficient block preconditioners for the mass-conserved Ohta-Kawasaki equation. (English) Zbl 07976970 Adv. Appl. Math. Mech. 17, No. 2, 454-488 (2025). MSC: 65F08 65N12 65N20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qianhuan; Chai, Zhenhua; Shi, Baochang Lattice Boltzmann model for a class of viscous wave equation. (English) Zbl 07976969 Adv. Appl. Math. Mech. 17, No. 2, 440-453 (2025). MSC: 76M28 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaotao; Liu, Tiegang; Zhang, Fan; Zeng, Zhiqiang; Feng, Chengliang Comparison of sharp and diffuse interface methods for radially symmetric compressible multi-medium fluid flows. (English) Zbl 07976968 Adv. Appl. Math. Mech. 17, No. 2, 407-439 (2025). MSC: 65M22 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qin; Yan, Pan; Huang, Xiao; Weng, Yihui; You, Yancheng; Duan, Yi Improvements to enhance robustness of third-order scale-independent WENO-Z schemes. (English) Zbl 07976967 Adv. Appl. Math. Mech. 17, No. 2, 373-406 (2025). MSC: 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Shashi; Ramcharan, Bangaru; Yadav, Vivek S.; Singh, Ankit; Bhumkar, Yogesh G.; Rajpoot, Manoj K. Exploring acoustic and sound wave propagation simulations: a novel time advancement method for homogeneous and heterogeneous media. (English) Zbl 07976961 Adv. Appl. Math. Mech. 17, No. 1, 315-349 (2025). MSC: 65Mxx 76Qxx 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Kai; Wang, Xin; Liu, Jianggang; Wei, Huayi An adaptive high-order surface finite element method for polymeric self-consistent field theory on general curved surfaces. (English) Zbl 07976953 Adv. Appl. Math. Mech. 17, No. 1, 123-147 (2025). MSC: 65M60 65M50 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Wangbo; Zhao, Yanxiang Ultraspherical spectral method for block copolymer systems on unit disk. (English) Zbl 07976951 Adv. Appl. Math. Mech. 17, No. 1, 69-103 (2025). MSC: 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ruo; Zhong, Wei An improved WENO-Z+ scheme. (English) Zbl 07976950 Adv. Appl. Math. Mech. 17, No. 1, 31-68 (2025). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wensheng; Huang, Huiming Convergence rate of Tikhonov regularization for identifying parameters in the elastic wave system under a positive condition. (English) Zbl 07976344 Inverse Probl. 41, No. 2, Article ID 025003, 26 p. (2025). MSC: 35R30 35L53 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Oanh Thi Dang An improved adaptive meshless refinement for the RBF-FD method for 2D elliptic equations. (English) Zbl 07975449 Vietnam J. Math. 53, No. 2, 365-387 (2025). MSC: 65M06 65N06 65D12 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Song, Fangying; Zhang, Yu Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation. (English) Zbl 07975429 J. Math. Res. Appl. 45, No. 1, 84-104 (2025). MSC: 35K45 65J15 65G20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kawai, Shuto; Sato, Shun; Matsuo, Takayasu Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations. (English) Zbl 07975348 Japan J. Ind. Appl. Math. 42, No. 1, 259-288 (2025). MSC: 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawai, Shuto; Sato, Shun; Matsuo, Takayasu Mathematical analysis of a norm-conservative numerical scheme for the Ostrovsky equation. (English) Zbl 07975343 Japan J. Ind. Appl. Math. 42, No. 1, 153-176 (2025). MSC: 65M06 65N06 65B15 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Duchesne, Gabriel William; Lessard, Jean-Philippe; Takayasu, Akitoshi A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory. (English) Zbl 07975335 J. Sci. Comput. 102, No. 3, Paper No. 62, 66 p. (2025). MSC: 65M70 65M06 65N35 65M15 65G40 35A01 35B40 35K91 68V05 41A50 76D05 76M22 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Shipra; Yadav, Sangita Hybridizable discontinuous Galerkin method for strongly damped wave problem. (English) Zbl 07975333 J. Sci. Comput. 102, No. 3, Paper No. 60, 27 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 35B65 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xin; Li, Dongfang; Lin, Xuelei; Sun, Hai-Wei A fast iterative solver for multidimensional spatial fractional Cahn-Hilliard equations. (English) Zbl 07975331 J. Sci. Comput. 102, No. 3, Paper No. 58, 23 p. (2025). MSC: 65F08 65F10 15B05 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jinjin; Mao, Shipeng; He, Xiaoming Unconditionally optimal convergent zero-energy-contribution scheme for two phase MHD model. (English) Zbl 07975328 J. Sci. Comput. 102, No. 2, Paper No. 55, 72 p. (2025). MSC: 35Q35 65M12 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yan; Zhu, Jun A new type of increasingly higher order of finite difference ghost multi-resolution WENO schemes for Hamilton-Jacobi equations. (English) Zbl 07975327 J. Sci. Comput. 102, No. 2, Paper No. 54, 31 p. (2025). MSC: 65M06 65N06 65L06 35L65 35F21 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Haidar, Ali; Marche, Fabien; Vilar, François An ALE numerical method for the waterline evolution of a floating object with non-linear shallow-water equations. (English) Zbl 07975326 J. Sci. Comput. 102, No. 2, Paper No. 53, 44 p. (2025). MSC: 76Bxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chuan; Wang, Zicheng; Wang, Zhongqing A multi-domain spectral method with mapping techniques for the Fokker-Planck equation in irregular domains. (English) Zbl 07975325 J. Sci. Comput. 102, No. 2, Paper No. 52, 20 p. (2025). MSC: 35Q84 65M55 65M70 41A10 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Chetan; Yadav, Anshu; Bhoriya, Deepak; Kumar, Harish; Balsara, Dinshaw S. Entropy stable finite difference schemes for Chew, Goldberger and Low anisotropic plasma flow equations. (English) Zbl 07975324 J. Sci. Comput. 102, No. 2, Paper No. 51, 48 p. (2025). MSC: 65M06 65L06 65M12 65M20 76W05 76X05 76L05 76M20 35D30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07975323 J. Sci. Comput. 102, No. 2, Paper No. 50, 26 p. (2025). MSC: 65N06 65N50 65T50 65F08 65F50 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Busto, Saray; Río-Martín, Laura Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics. (English) Zbl 07975322 J. Sci. Comput. 102, No. 2, Paper No. 49, 41 p. (2025). MSC: 76Mxx 65Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Meng; Liu, Xing; Yang, Shiyuan Threshold stability analysis of an unconditionally positivity-preserving numerical method for a nonlinear age-structured diffusive HIV model with spatial coefficients. (English) Zbl 07975303 Z. Angew. Math. Phys. 76, No. 1, Paper No. 31, 26 p. (2025). MSC: 65M20 65N06 65M06 65M25 65M12 65M15 35A01 35A02 35B09 92D30 92C60 92-08 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrari, Davide; Peshkov, Ilya; Romenski, Evgeniy; Dumbser, Michael A unified HTC multiphase model of continuum mechanics. (English) Zbl 07974293 J. Comput. Phys. 521, Part 1, Article ID 113553, 49 p. (2025). MSC: 76Mxx 65Mxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seelinger, Linus; Reinarz, Anne; Lykkegaard, Mikkel B.; Akers, Robert; Alghamdi, Amal M. A.; Aristoff, David; Bangerth, Wolfgang; Bénézech, Jean; Diez, Matteo; Frey, Kurt; Jakeman, John D.; Jørgensen, Jakob S.; Kim, Ki-Tae; Kent, Benjamin M.; Martinelli, Massimiliano; Parno, Matthew; Pellegrini, Riccardo; Petra, Noemi; Riis, Nicolai A. B.; Rosenfeld, Katherine; Serani, Andrea; Tamellini, Lorenzo; Villa, Umberto; Dodwell, Tim J.; Scheichl, Robert Democratizing uncertainty quantification. (English) Zbl 07974286 J. Comput. Phys. 521, Part 1, Article ID 113542, 35 p. (2025). MSC: 65Nxx 65Mxx 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guermond, Jean-Luc; Wang, Zuodong Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations. (English) Zbl 07974276 J. Comput. Phys. 521, Part 1, Article ID 113531, 20 p. (2025). MSC: 35L65 65M12 65M60 76V05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuxing; Wang, Bo A linearized, decoupled and unconditionally stable BDF2 FEM for the active fluid model. (English) Zbl 07973981 Int. J. Numer. Anal. Model. 22, No. 1, 40-70 (2025). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elhameed, W. M.; Alsuyuti, M. M. New spectral algorithm for fractional delay pantograph equation using certain orthogonal generalized Chebyshev polynomials. (English) Zbl 07973479 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108479, 21 p. (2025). MSC: 65M60 33C45 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Rui; Huang, Shijie; Xiao, Xufeng; Sheen, Dongwoo; Feng, Xinlong On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach. (English) Zbl 07973472 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108470, 18 p. (2025). MSC: 65M60 65M06 65N30 65N50 35R09 92C17 92C37 92-08 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yanjie; Liu, Feng; Wu, Faguo; Zhang, Xiao Navigating PINNs via maximum residual-based continuous distribution. (English) Zbl 07973468 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108460, 19 p. (2025). MSC: 65M99 68T07 62D05 49K35 35K57 35Q55 35J05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Dongsun; Kim, Hyunju The time-fractional Allen-Cahn equation on geometric computational domains. (English) Zbl 07973464 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108455, 21 p. (2025). MSC: 65Mxx 65Nxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jingwen; Tan, Zhijun Consistency-enhanced modified SAV time-stepping method with relaxation for binary mixture of and viscous fluids. (English) Zbl 07973460 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108451, 23 p. (2025). MSC: 65Mxx 76Mxx 76Axx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wenjuan; Gao, Fuzheng; He, Xiaoming Stabilizer-free weak Galerkin method and its optimal \(L^2\) error estimates for the time-dependent Poisson-Nernst-Planck problem. (English) Zbl 07973458 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108449, 19 p. (2025). MSC: 65Mxx 65Nxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Moya, Christian; Mollaali, Amirhossein; Zhang, Zecheng; Lu, Lu; Lin, Guang Conformalized-DeepONet: a distribution-free framework for uncertainty quantification in deep operator networks. (English) Zbl 07973240 Physica D 471, Article ID 134418, 14 p. (2025). MSC: 68Txx 65Mxx 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Razavi, Alireza H.; Yano, Masayuki Registration-based nonlinear model reduction of parametrized aerodynamics problems with applications to transonic Euler and RANS flows. (English) Zbl 07972910 J. Comput. Phys. 521, Part 2, Article ID 113576, 20 p. (2025). MSC: 65Nxx 65Mxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Difei; Liang, Kaiyi; Ying, Linjie; Li, Sen; Zhang, Qinghai ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework. (English) Zbl 07972909 J. Comput. Phys. 521, Part 2, Article ID 113574, 34 p. (2025). MSC: 65Mxx 65Lxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang; Wang, Yushun Local energy-preserving scalar auxiliary variable approaches for general multi-symplectic Hamiltonian PDEs. (English) Zbl 07972908 J. Comput. Phys. 521, Part 2, Article ID 113573, 13 p. (2025). MSC: 65M06 65M12 35Q41 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kozhanova, Ksenia; Zhao, Song; Loubère, Raphaël; Boivin, Pierre A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD. (English) Zbl 07972906 J. Comput. Phys. 521, Part 2, Article ID 113570, 21 p. (2025). MSC: 76Mxx 65Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Chang; Deluzet, Fabrice; Narski, Jacek On the accuracy of numerical methods for the discretization of anisotropic elliptic problems. (English) Zbl 07972904 J. Comput. Phys. 521, Part 2, Article ID 113568, 22 p. (2025). MSC: 65Mxx 76Mxx 76Xxx × Cite Format Result Cite Review PDF Full Text: DOI
Mylotte, Owen; McGurn, Matthew T.; Budzinski, Kenneth; DesJardin, Paul E. Ray decomposition radiation transport for high performance computing. (English) Zbl 07972903 J. Comput. Phys. 521, Part 2, Article ID 113567, 15 p. (2025). MSC: 65Mxx 85Axx 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Wenrui; Lee, Sun; Xu, Xiaofeng; Xu, Zhiliang Stability and robustness of time-discretization schemes for the Allen-Cahn equation via bifurcation and perturbation analysis. (English) Zbl 07972902 J. Comput. Phys. 521, Part 2, Article ID 113565, 20 p. (2025). MSC: 65Mxx 65Lxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Solovský, Jakub; Firoozabadi, Abbas Dynamic adaptive and fully unstructured tetrahedral gridding: application to \(\mathrm{CO}_2\) sequestration with consideration of full fluid compressibility. (English) Zbl 07972900 J. Comput. Phys. 521, Part 2, Article ID 113556, 23 p. (2025). MSC: 65Nxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Balashov, Vladislav; Savenkov, Evgeny; Khlyupin, Aleksey; Gerke, Kirill M. Two-phase regularized phase-field density gradient Navier-Stokes based flow model: tuning for microfluidic and digital core applications. (English) Zbl 07972898 J. Comput. Phys. 521, Part 2, Article ID 113554, 29 p. (2025). MSC: 76Mxx 65Mxx 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Cicchino, Alexander; Nadarajah, Siva Discretely nonlinearly stable weight-adjusted flux reconstruction high-order method for compressible flows on curvilinear grids. (English) Zbl 07972897 J. Comput. Phys. 521, Part 2, Article ID 113532, 21 p. (2025). MSC: 65Mxx 76Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çıbık, Aytekin; Fang, Rui; Layton, William; Siddiqua, Farjana Adaptive parameter selection in nudging based data assimilation. (English) Zbl 07972856 Comput. Methods Appl. Mech. Eng. 433, Part B, Article ID 117526, 16 p. (2025). MSC: 76D55 76M10 65M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Weizhu; Li, Yifei An energy-stable parametric finite element method for the planar Willmore flow. (English) Zbl 07972554 SIAM J. Numer. Anal. 63, No. 1, 103-121 (2025). MSC: 65M60 65M06 65N30 65M12 53C45 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Hyung Jun; Kim, Seonghak; Koh, Youngwoo Time splitting method for nonlinear Schrödinger equation with rough initial data in \(L^2\). (English) Zbl 07971489 J. Differ. Equations 417, 164-190 (2025). MSC: 35Q55 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Böhme, Timo; Göttlich, Simone; Neuenkirch, Andreas A nonlocal traffic flow model with stochastic velocity. (English) Zbl 07971375 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 487-518 (2025). Reviewer: Sigrid Knust (Osnabrück) MSC: 35L65 60H30 65M12 90B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chrysafinos, Konstantinos; Paraschis, Panagiotis Error estimates for discontinuous Galerkin time-stepping schemes for the parabolic \(p\)-Laplacian: a quasi-norm approach. (English) Zbl 07971374 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 449-485 (2025). MSC: 65M15 65M60 35K92 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise. (English) Zbl 07971372 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 389-418 (2025). MSC: 65M60 65M06 65N30 65D32 65C30 65M12 65M15 60G22 35B65 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
MacDonald, Jane Shaw; Bourgault, Yves; Lutscher, Frithjof A hybrid finite element method for moving-habitat models in two spatial dimensions. (English) Zbl 07971370 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 331-362 (2025). MSC: 65M60 65M06 65N30 92D25 92D40 92-08 92-10 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Normington, Hywel; Ruggeri, Michele Convergent finite element methods for antiferromagnetic and ferrimagnetic materials. (English) Zbl 07971365 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 167-199 (2025). MSC: 65-XX 35K61 65M12 65M60 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahata, Shantiram; Nataraj, Neela; Raymond, Jean-Pierre Lowest-order nonstandard finite element methods for time-fractional biharmonic problem. (English) Zbl 07971361 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 43-71 (2025). MSC: 65-XX 35R11 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubois, Juliette; Imperiale, Sébastien; Mangeney, Anne; Sainte-Marie, Jacques Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis. (English) Zbl 07971360 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 1-41 (2025). MSC: 35Qxx 35L10 65M70 76N30 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meddahi, Salim An \(hp\) error analysis of HDG for linear fluid-structure interaction. (English) Zbl 07969189 J. Sci. Comput. 102, No. 2, Paper No. 44, 34 p. (2025). MSC: 65M60 65M06 65N30 65N12 65N15 76D07 76Z05 74F10 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Nan; Yue, Jiahe; Liao, Hong-lin Mesh-robust convergence of a third-order variable-step deferred correction method for the Cahn-Hilliard model. (English) Zbl 07969188 J. Sci. Comput. 102, No. 2, Paper No. 43, 26 p. (2025). MSC: 65M06 65B05 65M12 65M15 74A50 74A60 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Rui; Zhang, Chen-Song; Chen, Zhangxin A Stokes-dual-porosity-poroelasticity model and discontinuous Galerkin method for the coupled free flow and dual porosity poroelastic medium problem. (English) Zbl 07969186 J. Sci. Comput. 102, No. 2, Paper No. 41, 47 p. (2025). MSC: 65M60 65M06 65N30 76S05 76D07 74F10 74L10 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yiran; Chung, Eric; Sun, Shuyu Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media. (English) Zbl 07969183 J. Sci. Comput. 102, No. 2, Paper No. 38, 27 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 76T06 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abgrall, Rémi; Barsukow, Wasilij; Klingenberg, Christian A semi-discrete active flux method for the Euler equations on Cartesian grids. (English) Zbl 07969181 J. Sci. Comput. 102, No. 2, Paper No. 36, 41 p. (2025). MSC: 65M08 65L06 65N08 65M20 76B03 76M12 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xinjuan; Gu, Jiaxi; Jung, Jae-Hun A spatial-temporal weight analysis and novel nonlinear weights of weighted essentially non-oscillatory schemes for hyperbolic conservation laws. (English) Zbl 07969179 J. Sci. Comput. 102, No. 2, Paper No. 34, 43 p. (2025). MSC: 65M08 65M06 65N08 65L06 35L65 76N15 76M12 76M20 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Lidan; Tao, Zhanjing; Zhang, Min Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations. (English) Zbl 07969177 J. Sci. Comput. 102, No. 2, Paper No. 32, 33 p. (2025). MSC: 65M08 65M06 65N08 65M12 76B15 76U60 86A05 76M12 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xinyuan; Xiong, Tao High order conservative OEDG methods with explicit-implicit-null time discretizations for three-temperature radiation hydrodynamics. (English) Zbl 07969175 J. Sci. Comput. 102, No. 2, Paper No. 30, 39 p. (2025). MSC: 65M60 65M06 65N30 65L06 76X05 80A21 82D10 85A25 × Cite Format Result Cite Review PDF Full Text: DOI
Xiang, Xiao-Shuo; Wang, Bao-Shan; Gao, Zhen; Li, Peng Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods. (English) Zbl 07969174 J. Sci. Comput. 102, No. 2, Paper No. 29, 32 p. (2025). MSC: 65M08 65M60 65L06 65M25 65D32 65N08 65N30 35L65 76M12 76M10 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Boom, Pieter D.; Del Rey Fernández, David C.; Zingg, David W. Relative efficiency of finite-difference and discontinuous spectral-element summation-by-parts methods on distorted meshes. (English) Zbl 07969173 J. Sci. Comput. 102, No. 1, Paper No. 28, 28 p. (2025). MSC: 65M06 65M60 65M70 65N50 65D32 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Xucheng; Qin, Yuzhe; Hu, Guanghui The convergence analysis of a class of stabilized semi-implicit isogeometric methods for the Cahn-Hilliard equation. (English) Zbl 07969171 J. Sci. Comput. 102, No. 1, Paper No. 26, 35 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 65M22 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ling; Song, Huailing; Yi, Wenfan Improved uniform error bounds on a Lawson-type exponential integrator method for long-time dynamics of the nonlinear double sine-Gordon equation. (English) Zbl 07969170 J. Sci. Comput. 102, No. 1, Paper No. 25, 30 p. (2025). MSC: 65M70 65M12 65M15 35C08 35B05 35B65 41A58 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Altuijri, Reem; Abdel-Aty, Abdel-Haleem; Sooppy Nisar, Kottakkaran; Khater, Mostafa M. A. Nonlinear evolution equations in dispersive media: analyzing the semilinear dispersive-Fisher model. (English) Zbl 07969143 Int. J. Geom. Methods Mod. Phys. 22, No. 1, Article ID 2450275, 37 p. (2025). MSC: 35K57 35C08 35Q92 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Serna-Reyes, Adán J.; Macías, Siegfried; Gallegos, Armando; Macías-Díaz, Jorge E. A convergent two-step method to solve a fractional extension of the Rosenau-Kawahara system. (English) Zbl 07968727 J. Comput. Appl. Math. 460, Article ID 116424, 17 p. (2025). MSC: 65M06 35Q53 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongpeng; Rui, Hongxing; Gao, Mengqi Two-grid reduced-order method based on POD for a nonlinear poroelasticity model. (English) Zbl 07968718 J. Comput. Appl. Math. 460, Article ID 116413, 18 p. (2025). MSC: 65M60 65M06 65N30 65M55 65M99 65N50 65M15 76S05 74F10 74L10 74B10 76M10 76M20 74S05 74S20 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Mengli; Wang, Wansheng; Tian, Tianhai; Wang, Lehan Adaptive option pricing based on a posteriori error estimates for fully discrete finite difference methods. (English) Zbl 07968713 J. Comput. Appl. Math. 460, Article ID 116407, 26 p. (2025). MSC: 91G60 65M06 65M15 65M50 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Roul, Pradip; Kumari, Trishna High-order numerical schemes based on B-spline for solving a time-fractional Fokker-Planck equation. (English) Zbl 07968702 J. Comput. Appl. Math. 460, Article ID 116386, 21 p. (2025). MSC: 65M70 65M06 65N35 65D07 65M12 26A33 35R11 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI