Kong, Linghua; Ouyang, Songpei; Gao, Rong; Liang, Haiyan Combined high order compact schemes for non-self-adjoint nonlinear Schrödinger equations. (English) Zbl 07984893 Appl. Numer. Math. 209, 242-257 (2025). MSC: 65M06 65M12 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Guodong; Zhang, Wei; Jian, Jinbao; Huang, Zefeng; Mo, Jingyi An inertial hybrid DFPM-based algorithm for constrained nonlinear equations with applications. (English) Zbl 07984885 Appl. Numer. Math. 209, 100-123 (2025). MSC: 90Cxx 65Hxx 65Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Ibrahim, Abdulkarim Hassan; Al-Homidan, Suliman A derivative-free projection method with double inertial effects for solving nonlinear equations. (English) Zbl 07984882 Appl. Numer. Math. 209, 55-67 (2025). MSC: 90Cxx 65Kxx 65Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Bazm, Sohrab; Lima, Pedro; Nemati, Somayeh Discretization methods and their extrapolations for two-dimensional nonlinear Volterra-Urysohn integral equations. (English) Zbl 07980417 Appl. Numer. Math. 208, Part B, 323-337 (2025). MSC: 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Rodrigues, Savio B.; Braga, Giovanni Belloni Fernandes; de Medeiros, Marcello Augusto Faraco The residual balanced IMEX decomposition for singly-diagonally-implicit schemes. (English) Zbl 07980384 Appl. Numer. Math. 208, Part B, 58-78 (2025). MSC: 65L06 65M20 65M12 × 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
Bochacik, Tomasz; Przybyłowicz, Paweł; Stępień, Łukasz Convergence and stability of randomized implicit two-stage Runge-Kutta schemes. (English) Zbl 07977315 BIT 65, No. 1, Paper No. 7, 23 p. (2025). MSC: 65L06 65L70 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakshit, Gobinda Asymptotic error analysis for the discrete iterated Galerkin solution of Urysohn integral equations with Green’s kernels. (English) Zbl 07976955 Adv. Appl. Math. Mech. 17, No. 1, 175-206 (2025). MSC: 45G10 65B05 65J15 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruned, Yvain; Ebrahimi-Fard, Kurusch; Hou, Yingtong Multi-indice \(B\)-series. (English) Zbl 07976918 J. Lond. Math. Soc., II. Ser. 111, No. 1, Article ID e70049, 32 p. (2025). MSC: 60L70 65L06 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
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
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
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
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). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M60 65L06 65M25 65D32 65N08 65N30 35L65 76M12 76M10 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Jens; Schmitt, Bernhard A. Variable-stepsize implicit peer triplets in ODE constrained optimal control. (English) Zbl 07968722 J. Comput. Appl. Math. 460, Article ID 116417, 25 p. (2025). MSC: 65K10 65L06 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kjelldahl, Vilma; Mattsson, Ken Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time. (English) Zbl 07968688 J. Comput. Appl. Math. 459, Article ID 116377, 13 p. (2025). MSC: 65M06 65N06 65L06 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Nan; Wang, Chenxi; Zhang, Lun; Zhang, Zhen Decoupled and energy stable schemes for phase-field surfactant model based on mobility operator splitting technique. (English) Zbl 07968676 J. Comput. Appl. Math. 459, Article ID 116365, 19 p. (2025). MSC: 65M70 65M06 65N35 65B05 76A20 76T06 76T20 76D45 76M20 76M22 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yuexin Solving nonlinear neutral delay integro-differential equations via general linear methods. (English) Zbl 07968662 J. Comput. Appl. Math. 458, Article ID 116342, 10 p. (2025). MSC: 65L20 65L06 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Bentbib, Abdeslem Hafid; Boubekraoui, Maryam; Jbilou, Khalide Extrapolation methods for multilinear PageRank. (English) Zbl 07968272 Numer. Algorithms 98, No. 2, 1013-1043 (2025). MSC: 65F55 65B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ocqueteau, Vicente; Gormaz, Raúl; Martín, Jorge San; Conca, Carlos A parabolic multiscale inverse problem approached via homogenization: a numerical method. (English) Zbl 07967999 J. Math. Anal. Appl. 544, No. 2, Article ID 129073, 27 p. (2025). MSC: 65M32 65M60 65L06 65N30 65N50 65M12 65M15 35B27 35A01 35B05 76M50 76M10 35Q35 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Nan; Jiang, Binbin; Li, Meng A high-order energy stable method for the MBE models with slope selection by using Lagrange multiplier approach. (English) Zbl 07961456 Appl. Math. Lett. 160, Article ID 109316, 7 p. (2025). MSC: 65M22 65L06 65M70 65N35 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Moisa, Andrew Third order two-step Runge-Kutta-Chebyshev methods. (English) Zbl 07958828 J. Comput. Appl. Math. 457, Article ID 116291, 10 p. (2025). MSC: 65M20 65L06 65L04 65L05 65L20 35Q79 35Q92 35Q53 35K57 80A25 80A21 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Meng; Kong, Linghua; Liang, Yiru; Wang, Wei; Yang, Wei An unconditional stable modified finite element methods for Maxwell’s equation in Kerr-type nonlinear media. (English) Zbl 07958794 J. Comput. Appl. Math. 457, Article ID 116247, 17 p. (2025). MSC: 65M60 65M06 65N30 65L06 65M12 78A60 78M10 78M20 × 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: 65M60 35R09 45K05 65L06 65M12 65M22 65R20 × 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: 65M06 65N06 65L06 26A33 35R11 45D05 × 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: 65M06 65D12 65L06 65M12 × 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: 65M70 35Q61 65L06 65M12 78M20 × Cite Format Result Cite Review PDF Full Text: DOI
Pagano, Giovanni Stabilized explicit peer methods with parallelism across the stages for stiff problems. (English) Zbl 07952182 Appl. Numer. Math. 207, 156-173 (2025). MSC: 65L04 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Juhl, Austin; Shirokoff, David Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming. (English) Zbl 07952181 Appl. Numer. Math. 207, 136-155 (2025). MSC: 65L06 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jiajie; Nakao, Joseph; Qiu, Jing-Mei; Yang, Yang A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws. (English) Zbl 07951588 J. Sci. Comput. 102, No. 1, Paper No. 12, 32 p. (2025). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65M20 65L06 65N08 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visbech, Jens; Engsig-Karup, Allan P.; Ricchiuto, Mario A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation. (English) Zbl 07951587 J. Sci. Comput. 102, No. 1, Paper No. 11, 43 p. (2025). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N35 65N30 65N50 65N22 65B05 65D05 65N12 65N15 35B40 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Chuan; Qiu, Jianxian; Zhao, Zhuang A moment-based Hermite WENO scheme with unified stencils for hyperbolic conservation laws. (English) Zbl 07951585 J. Sci. Comput. 102, No. 1, Paper No. 9, 36 p. (2025). MSC: 65M08 65M60 65M06 65N06 65L06 65D32 35L65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaganathan, Divya; Govindarajan, Rama; Vasan, Vishal Explicit integrators for nonlocal equations: the case of the Maxey-Riley-Gatignol equation. (English) Zbl 07950649 Q. Appl. Math. 83, No. 1, 135-158 (2025). MSC: 65R20 45J05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Self starting general linear methods with Runge-Kutta stability. (English) Zbl 07938684 J. Comput. Dyn. 12, No. 1, 1-22 (2025). MSC: 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Fengyu; Shu, Chi-Wang; Tao, Qi; Wu, Boying Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. (English) Zbl 07929942 Math. Comput. 94, No. 351, 123-158 (2025). MSC: 65M60 65L06 65N30 65M12 65M15 35G15 × Cite Format Result Cite Review PDF Full Text: DOI
Xue, Lianpeng; Zhang, Qifeng; Matus, P. P. Error estimate of the conservative difference scheme for the derivative nonlinear Schrödinger equation. (English) Zbl 07927827 Appl. Math. Lett. 159, Article ID 109283, 8 p. (2025). MSC: 35Q55 35Q41 65M06 65L06 65M12 65M15 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Alkhezi, Yousuf; Almubarak, Yousuf H. R.; Shafee, Ahmad Neural-network-based approximations for investigating a Pantograph delay differential equation with application in Algebra. (English) Zbl 07907981 Int. J. Math. Comput. Sci. 20, No. 1, 195-209 (2025). MSC: 08A70 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaohao; Mei, Liquan; Guo, Shimin Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 1547.65154 J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025). MSC: 65M60 65M06 65N30 65L06 33C45 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Koellermeier, Julian; Samaey, Giovanni Projective integration methods in the Runge-Kutta framework and the extension to adaptivity in time. (English) Zbl 1546.65046 J. Comput. Appl. Math. 454, Article ID 116147, 26 p. (2025). MSC: 65L04 65L06 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weiwen; Xu, Chuanju A class of efficient high-order time-stepping methods for the anisotropic phase-field dendritic crystal growth model. (English) Zbl 1543.65173 J. Comput. Appl. Math. 453, Article ID 116161, 20 p. (2025). MSC: 65M70 35Q79 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Lovat, Giampiero; Celozzi, Salvatore Lucas decomposition and extrapolation methods for the evaluation of infinite integrals involving the product of three Bessel functions of arbitrary order. (English) Zbl 07900344 J. Comput. Appl. Math. 453, Article ID 116141, 17 p. (2025). MSC: 65Dxx 33Cxx 41Axx × Cite Format Result Cite Review PDF Full Text: DOI
Boscarino, Sebastiano; Cho, Seung Yeon; Russo, Giovanni; Yun, Seok-Bae A conservative semi-Lagrangian scheme for the ellipsoidal BGK model of the Boltzmann equation. arXiv:2502.07548 Preprint, arXiv:2502.07548 [math.NA] (2025). MSC: 65L06 65M25 76P05 × Cite Format Result Cite Full Text: arXiv OA License
Hu, Jintao; Tian, Hongjiong; Guo, Qian Discovering Dynamics with Kolmogorov Arnold Networks: Linear Multistep Method-Based Algorithms and Error Estimation. arXiv:2501.15066 Preprint, arXiv:2501.15066 [math.NA] (2025). MSC: 65L06 65L09 65L20 × Cite Format Result Cite Full Text: arXiv OA License
Dyachenko, Roman R.; Matveev, Sergey A.; Valiakhmetov, Bulat I. Mosaic-skeleton approximation is all you need for Smoluchowski equations. arXiv:2501.10206 Preprint, arXiv:2501.10206 [math.NA] (2025). MSC: 65F55 65L06 65Z05 91G60 × Cite Format Result Cite Full Text: arXiv OA License
Bronasco, Eugen; Leimkuhler, Benedict; Phillips, Dominic; Vilmart, Gilles Efficient Langevin sampling with position-dependent diffusion. arXiv:2501.02943 Preprint, arXiv:2501.02943 [math.NA] (2025). MSC: 60H35 37M25 65L06 41A58 05C05 × Cite Format Result Cite Full Text: arXiv OA License
Joy, Dany; Dinesh Kumar, S. Singular perturbations and small delays through Liouville’s Green transformation. (English) Zbl 07978824 J. Appl. Math. Inform. 42, No. 5, 1211-1225 (2024). MSC: 65L06 65L11 65L20 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Vivek, K.; Nageshwar Rao, R. Numerical algorithms based on splines for singularly perturbed parabolic partial differential equations with mixed shifts. (English) Zbl 07978401 Bound. Value Probl. 2024, Paper No. 158, 21 p. (2024). MSC: 65N06 35B25 35K20 35R10 65D07 65N12 65N15 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
de Souza, Giacomo Rosilho; Grote, Marcus J.; Pezzuto, Simone; Krause, Rolf Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology. (English) Zbl 07971354 ESAIM, Math. Model. Numer. Anal. 58, No. 6, 2225-2254 (2024). MSC: 65L04 65L06 65L10 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Jingjun; Kong, Jiameng; Xu, Yang Convergence of Runge-Kutta-based convolution quadrature for semilinear fractional differential equations. (English) Zbl 07966580 Int. J. Comput. Math. 101, No. 11, 1326-1340 (2024). MSC: 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Xiao; Xiong, Jie A class of efficient multistep methods for forward backward stochastic differential equations. (English) Zbl 07966451 Numer. Math., Theory Methods Appl. 17, No. 4, 904-932 (2024). MSC: 65C30 60H10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yafei; Zhao, Weidong Richardson extrapolation of the Euler scheme for backward stochastic differential equations. (English) Zbl 07966435 Numer. Math., Theory Methods Appl. 17, No. 2, 463-493 (2024). MSC: 65C30 60H10 60H35 × Cite Format Result Cite Review PDF Full Text: DOI
Badmus, A. M.; Subair, A. O. Comparison of block implicit algorithm and Runge Kutta method for the solution of non linear first order problems with Legendre polynomial. (English) Zbl 07965489 J. Niger. Math. Soc. 43, No. 1, 15-28 (2024). MSC: 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: Link
Dujardin, Guillaume; Lacroix-Violet, Ingrid High order linearly implicit methods for semilinear evolution PDEs. (English) Zbl 07963393 SMAI J. Comput. Math. 10, 325-354 (2024). MSC: 65M70 65L06 65L20 65N06 65M12 65M22 35K05 35K58 35G05 35A24 35Q79 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongfang; Li, Xiaoxi Multiple relaxation exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 07963013 SIAM J. Numer. Anal. 62, No. 6, 2719-2744 (2024). MSC: 65M70 65L06 65N06 65M20 65M12 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Bezrodnykh, S. I.; Pikulin, S. V. Numerical-analytical method for nonlinear equations of Kolmogorov-Petrovskii-Piskunov type. (English) Zbl 07961363 Comput. Math. Math. Phys. 64, No. 11, 2484-2509 (2024). MSC: 65M06 65N06 65B05 65F05 65D32 41A50 35B25 35K55 35K57 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Prihandoko, Rudi; Duru, Kenneth; Roberts, Stephen; Zoppou, Christopher On well-posed boundary conditions and energy stable finite-volume method for the linear shallow water wave equation. (English) Zbl 07961083 ANZIAM J. 66, No. 3, 181-200 (2024). MSC: 65M08 65M22 65L06 65M12 76B15 76B03 76M12 92D40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischer, Andreas; Izmailov, Alexey F.; Jelitte, Mario Behavior of Newton-type methods near critical solutions of nonlinear equations with semismooth derivatives. (English) Zbl 07960831 J. Optim. Theory Appl. 203, No. 3, 2179-2205 (2024). MSC: 49M15 49J52 65J15 65K15 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Shishkin, G. I.; Shishkina, L. P. Richardson’s third-order difference scheme for the Cauchy problem in the case of transport equation. (English) Zbl 07960062 Comput. Math. Math. Phys. 64, No. 10, 2212-2221 (2024). MSC: 65M06 65N06 65N50 65B05 35B45 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Abhijit; Ketcheson, David I. Accurate solution of the nonlinear Schrödinger equation via conservative multiple-relaxation ImEx methods. (English) Zbl 07959778 SIAM J. Sci. Comput. 46, No. 6, A3827-A3848 (2024). MSC: 65M70 65M60 65M06 65L06 65N35 65N30 35C08 35Q55 35Q41 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Nan On the convergence of a non-homogeneous and nonlinear SSP Runge-Kutta method for scalar convex conservation laws with source terms. (English) Zbl 07959427 Methods Appl. Anal. 31, No. 2, 57-78 (2024). MSC: 65M06 65L06 65M12 35L60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Teng, Xueqing; Zhang, Hong High-order \(L^2\)-bound-preserving Fourier pseudo-spectral schemes for the Allen-Cahn equation. (English) Zbl 07958580 Numer. Algorithms 97, No. 4, 1859-1894 (2024). MSC: 65M70 65L06 65M06 65N35 65M12 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Moradi, Afsaneh; Chouchoulis, Jeremy; D’Ambrosio, Raffaele; Schütz, Jochen Jacobian-free explicit multiderivative general linear methods for hyperbolic conservation laws. (English) Zbl 07958579 Numer. Algorithms 97, No. 4, 1823-1858 (2024). MSC: 65M06 65L06 65M12 35L65 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Pei, Wenlong The semi-implicit DLN algorithm for the Navier-Stokes equations. (English) Zbl 07958576 Numer. Algorithms 97, No. 4, 1673-1713 (2024). MSC: 65M60 65M06 65N30 65B05 65M12 65M15 65M50 76D05 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Hong; Wang, Haifeng; Teng, Xueqing A second-order, global-in-time energy stable implicit-explicit Runge-Kutta scheme for the phase field crystal equation. (English) Zbl 07957571 SIAM J. Numer. Anal. 62, No. 6, 2667-2697 (2024). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 35R09 74N05 82D25 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems. (English) Zbl 07957234 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 2035-2059 (2024). MSC: 65M60 65M06 65N30 65L06 65R20 65M12 65M15 45A05 35K05 76R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romano, Luigi; Målqvist, Axel Finite element modelling of linear rolling contact problems. (English) Zbl 07957219 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1541-1579 (2024). MSC: 65M60 65M06 65N30 65M08 65N08 65L06 65M12 74M15 74A55 74H15 74H20 74H25 35L02 35L04 74S05 74S20 74S10 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Bezrodnykh, S. I.; Pikulin, S. V. Numerical-analytical method for the Burgers equation with a periodic boundary condition. (English. Russian original) Zbl 07955506 J. Math. Sci., New York 285, No. 3, 301-315 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 2, 208-223 (2023). MSC: 65M06 65L06 65N99 34B27 35K59 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Conte, Dajana; Martin-Vaquero, Jesus; Pagano, Giovanni; Paternoster, Beatrice Stability theory of TASE-Runge-Kutta methods with inexact Jacobian. (English) Zbl 07955197 SIAM J. Sci. Comput. 46, No. 6, A3628-A3657 (2024). MSC: 65L07 65L06 65L04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shashkin, V. V.; Goyman, G. S.; Tretyak, I. D. Development of the next-generation atmosphere dynamics model in Russia: current state and prospects. (English) Zbl 07954500 Lobachevskii J. Math. 45, No. 7, 3159-3172 (2024). MSC: 65M06 65N06 65L06 86A08 86A10 76U60 76M20 65Y05 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dongfang; Li, Xiaoxi; Yang, Jiang Relaxation exponential Runge-Kutta methods and their applications to semilinear dissipative/conservative systems. (English) Zbl 07952146 Commun. Comput. Phys. 36, No. 4, 908-942 (2024). MSC: 65L06 37L99 × Cite Format Result Cite Review PDF Full Text: DOI
Aceto, Lidia; Durastante, Fabio Efficient computation of the sinc matrix function for the integration of second-order differential equations. (English) Zbl 07948902 Adv. Comput. Math. 50, No. 6, Paper No. 109, 26 p. (2024). MSC: 65L06 15A16 41A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yadav, Narendra Singh; Mukherjee, Kaushik Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions. (English) Zbl 07944866 Appl. Numer. Math. 206, 210-246 (2024). MSC: 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Takács, Bálint Máté; Svantnerné Sebestyén, Gabriella; Faragó, István High-order reliable numerical methods for epidemic models with non-constant recruitment rate. (English) Zbl 07944860 Appl. Numer. Math. 206, 75-93 (2024). MSC: 92D30 34C60 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordani, Bruno Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools. 2nd edition. (English) Zbl 07944191 Progress in Mathematical Physics 64. Cham: Birkhäuser (ISBN 978-3-031-72225-7/hbk; 978-3-031-72228-8/pbk; 978-3-031-72226-4/ebook). xxv, 395 p. (2024). MSC: 70-01 37J40 70F15 37J06 70H08 70H33 65P10 37N05 37M10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Jens; Schmitt, Bernhard A. Implicit peer triplets in gradient-based solution algorithms for ODE constrained optimal control. (English) Zbl 07942694 J. Optim. Theory Appl. 203, No. 1, 985-1026 (2024). MSC: 49M25 49J15 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Yan; Yu, Yang; Liu, Yanshan; Hao, Xinran; Gao, Hongwei An approach problem for control systems based on Runge-Kutta methods. (English) Zbl 07942546 Comput. Math. Math. Phys. 64, No. 9, 1991-2004 (2024). MSC: 93C10 93C15 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Akindinov, G. D.; Gasnikov, A. V.; Krivorotko, O. I.; Matyukhin, V. V.; Pletnev, N. V. Gradient-type approaches to inverse and ill-posed problems of mathematical physics. (English) Zbl 07942545 Comput. Math. Math. Phys. 64, No. 9, 1974-1990 (2024). Reviewer: Florian Mannel (Lübeck) MSC: 49S05 35R25 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Leung, Shingyu; Chau, Wai Ming; Lee, Young Kyu SLERP-TVDRK (STVDRK) methods for ordinary differential equations on spheres. (English) Zbl 07941521 J. Sci. Comput. 101, No. 3, Paper No. 63, 28 p. (2024). MSC: 65L06 65L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nonino, Monica; Torlo, Davide Calibration-based ALE model order reduction for hyperbolic problems with self-similar travelling discontinuities. (English) Zbl 07941518 J. Sci. Comput. 101, No. 3, Paper No. 60, 34 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65L06 65N08 65K10 35L60 35L67 35C07 68T07 68Q32 76L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Haijin; Zhang, Qiang; Shu, Chi-Wang Correction to: “Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems”. (English) Zbl 1548.65232 J. Sci. Comput. 101, No. 3, Paper No. 59, 4 p. (2024). MSC: 65M60 65M12 65M15 65L06 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsova, Ek. L.; Egorova, O. V.; Novikov, A. S. A new economical unconditional stable splitting method for numerical solution of problems of mathematical physics. (English) Zbl 1549.65270 Lobachevskii J. Math. 45, No. 5, 2335-2341 (2024). MSC: 65M06 65M12 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Chernyshov, A. D.; Nikiforova, O. Yu.; Goryainov, V. V.; Rukin, I. G. Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle. (English) Zbl 07940389 Comput. Math. Math. Phys. 64, No. 7, 1461-1471 (2024). MSC: 65T40 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Bansal, Saurabh; Natesan, Srinivasan An efficient fourth-order numerical scheme for nonlinear multi-asset option pricing problems. (English) Zbl 07938406 Mediterr. J. Math. 21, No. 7, Paper No. 194, 25 p. (2024). MSC: 91G60 65M06 65M12 65M15 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Linß, Torsten; Ossadnik, Martin; Radojev, Goran A unified approach to maximum-norm a posteriori error estimation for second-order time discretizations of parabolic equations. (English) Zbl 07937552 IMA J. Numer. Anal. 44, No. 3, 1644-1659 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banjai, Lehel; Ferrari, Matteo Runge-Kutta convolution quadrature based on Gauss methods. (English) Zbl 07937499 Numer. Math. 156, No. 5, 1719-1750 (2024). MSC: 65R20 65L06 65D32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morandin, Riccardo Modeling and numerical treatment of port-Hamiltonian descriptor systems. (English) Zbl 1548.93001 Berlin: TU Berlin, Fakultät II – Mathematik und Naturwissenschaften (Diss.). 409 p., open access (2024). MSC: 93-02 93C15 93C35 34A09 65L06 65P10 93B70 × Cite Format Result Cite Review PDF Full Text: DOI
Engel, Maximilian; Gottwald, Georg A. Canards in modified equations for Euler discretizations. (English) Zbl 07936184 Engel, Maximilian (ed.) et al., Topics in multiple time scale dynamics. Workshop, Banff International Research Station, Banff, Alberta, Canada, November 27 – December 2, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 806, 15-28 (2024). MSC: 39A12 39A30 34E15 34E17 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Aiqing; Bertalan, Tom; Zhu, Beibei; Tang, Yifa; Kevrekidis, Ioannis G. Implementation and (inverse modified) error analysis for implicitly templated ODE-nets. (English) Zbl 07935914 SIAM J. Appl. Dyn. Syst. 23, No. 4, 2643-2669 (2024). MSC: 37M99 65L06 65L09 65P99 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Bin; Hu, Xianfa; Wu, Xinyuan Two new classes of exponential Runge-Kutta integrators for efficiently solving stiff systems or highly oscillatory problems. (English) Zbl 07932650 Int. J. Comput. Math. 101, No. 9-10, 1031-1049 (2024). MSC: 65L04 65L05 65L06 65L08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shuaikang; Ge, Yongbin; Ma, Tingfu Sixth-order finite difference schemes for nonlinear wave equations with variable coefficients in three dimensions. (English) Zbl 07932647 Int. J. Comput. Math. 101, No. 9-10, 973-988 (2024). MSC: 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Ilati, Mohammad; Abbaszadeh, Mostafa Fourth-order exponential time differencing Runge-Kutta scheme and local meshless method to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials. (English) Zbl 07932644 Int. J. Comput. Math. 101, No. 9-10, 922-941 (2024). MSC: 65L06 65M99 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
González-Tabernero, Víctor; López-Salas, José Germán; Castro-Díaz, Manuel Jesús; García-Rodríguez, José Antonio Boundary treatment for high-order IMEX Runge-Kutta local discontinuous Galerkin schemes for multidimensional nonlinear parabolic PDEs. (English) Zbl 07931278 SIAM J. Sci. Comput. 46, No. 5, A3282-A3304 (2024). MSC: 65M20 65M60 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leveque, Santolo; Bergamaschi, Luca; Martínez, Ángeles; Pearson, John W. Parallel-in-time solver for the all-at-once Runge-Kutta discretization. (English) Zbl 07931233 SIAM J. Matrix Anal. Appl. 45, No. 4, 1902-1928 (2024). MSC: 65F08 65F10 65N22 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joy, Dany; Dinesh Kumar, S. Numerical method for solving weakly coupled systems of singularly perturbed delay differential equations. (English) Zbl 07931035 Comput. Appl. Math. 43, No. 8, Paper No. 419, 25 p. (2024). MSC: 65L06 65L11 65L20 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Polak, Scott; Gao, Xinfeng Application of a fourth-order accurate finite-volume method with adaptive refinement in space and time to multifluid plasma simulations. (English) Zbl 07930662 Commun. Appl. Math. Comput. Sci. 19, No. 1, 57-85 (2024). MSC: 35Q35 76X05 76W05 76L05 76N15 76T30 76M12 65M08 65L06 65N08 65M50 65N50 65M12 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Yansheng; Han, Deren; Zeng, Yun; Xie, Jiaxin On greedy multi-step inertial randomized Kaczmarz method for solving linear systems. (English) Zbl 07930253 Calcolo 61, No. 4, Paper No. 68, 20 p. (2024). MSC: 65F10 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arrai, M.; Allouch, C.; Tahrichi, M. Kantorovich methods for Urysohn integral equations. (English) Zbl 07928376 Melliani, Said (ed.) et al., Applied mathematics and modelling in finance, marketing and economics. Selected papers based on the presentations at the 1st international conference in applied mathematics to finance, marketing and economics, El Jadida, Morocco, November 26–27, 2020. Cham: Springer. Stud. Comput. Intell. 1114, 49-65 (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI