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
Liu, Sheng-en; Ge, Yongbin; Qi, Yingnan A sixth-order finite difference method for the two-dimensional nonlinear advection diffusion reaction equation. (English) Zbl 07922821 J. Comput. Phys. 517, Article ID 113361, 17 p. (2024). MSC: 65Mxx 35Kxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun; Chen, Rui; Ma, Wenjing; Zhao, Weijie Structure preserving FEM for the perturbed wave equation of quantum mechanics. (English) Zbl 1544.65175 Appl. Math. Lett. 157, Article ID 109189, 7 p. (2024). MSC: 65M60 35Q53 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Abdi, Ali; Arnold, Martin; Podhaisky, Helmut The barycentric rational numerical differentiation formulas for stiff ODEs and DAEs. (English) Zbl 07899582 Numer. Algorithms 97, No. 1, 431-451 (2024). MSC: 65L04 65L80 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Seitz, Timo; Gerlinger, Peter Investigation and assessment of production- and dissipation-limited DDES methods for rocket combustion chamber simulations. (English) Zbl 07875897 Comput. Fluids 275, Article ID 106252, 15 p. (2024). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Moreira, Carlos A.; Caicedo, Manuel A.; Cervera, Miguel; Chiumenti, Michele; Baiges, Joan An accurate, adaptive and scalable parallel finite element framework for the part-scale thermo-mechanical analysis in metal additive manufacturing processes. (English) Zbl 07868697 Comput. Mech. 73, No. 5, 983-1011 (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ait-Ameur, Katia; Maday, Yvon Multi-step variant of the parareal algorithm: convergence analysis and numerics. (English) Zbl 1541.65063 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 673-694 (2024). MSC: 65M06 65M12 65M55 65Y05 65Y20 65L06 65L04 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Junjun; Shi, Dongyang; Cao, Lina; Pei, Jiaxuan Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator. (English) Zbl 07839873 Comput. Math. Appl. 161, 202-211 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Uhlig, Frank Zhang neural networks: an introduction to predictive computations for discretized time-varying matrix problems. (English) Zbl 1537.68177 Numer. Math. 156, No. 2, 691-739 (2024). MSC: 68T07 15A09 15A24 65F15 65F45 65K05 65-02 68-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jie Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework. (English) Zbl 1536.74304 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116503, 66 p. (2024). MSC: 74S22 65L05 74S05 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Calvo, M.; Montijano, J. I.; Rández, L.; Saenz-de-la-Torre, A. Explicit two-step peer methods with reused stages. (English) Zbl 07763849 Appl. Numer. Math. 195, 75-88 (2024). MSC: 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Saqib, Muhammad; Akram, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh Numerical methods for \(m\)-polar fuzzy initial value problems. (English) Zbl 1535.65095 Comput. Methods Differ. Equ. 11, No. 3, 412-439 (2023). MSC: 65L05 34A07 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun Superconvergence analysis of an energy stable scheme with three step backward differential formula-finite element method for nonlinear reaction-diffusion equation. (English) Zbl 1533.65185 Numer. Methods Partial Differ. Equations 39, No. 1, 30-44 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinze; Yu, Kaiping; Zhao, Rui; Fang, Yong Three optimal families of three-sub-step dissipative implicit integration algorithms with either second, third, or fourth-order accuracy for second-order nonlinear dynamics. (English) Zbl 07772287 Int. J. Numer. Methods Eng. 124, No. 17, 3733-3766 (2023). MSC: 65Lxx 74Sxx 70Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lin; Ge, Yongbin; Yang, Xiaojia; Zhang, Yagang High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems. (English) Zbl 1524.35305 Int. J. Comput. Math. 100, No. 7, 1552-1579 (2023). MSC: 35K55 35K61 65M06 65M22 65M55 × Cite Format Result Cite Review PDF Full Text: DOI
González-Pinto, S.; Hernández-Abreu, D.; Pagano, G.; Pérez-Rodríguez, S. Generalized TASE-RK methods for stiff problems. (English) Zbl 07705784 Appl. Numer. Math. 188, 129-145 (2023). MSC: 65Lxx 65Mxx 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yinkun Parallel numerical Picard iteration methods. (English) Zbl 1516.65159 J. Sci. Comput. 95, No. 1, Paper No. 27, 23 p. (2023). MSC: 65Y05 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, E. B.; Leonov, S. S.; Tsapko, E. D. Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems. (English. Russian original) Zbl 07691038 Comput. Math. Math. Phys. 63, No. 4, 528-541 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 4, 557-572 (2023). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations. (English) Zbl 1529.65083 Numer. Algorithms 92, No. 3, 1679-1705 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 35Q60 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Superconvergence analysis of a BDF-Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations with damping mechanism. (English) Zbl 1515.65250 J. Comput. Math. 41, No. 2, 224-245 (2023). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Safikhani, Leila; Vahidi, Alireza; Allahviranloo, Tofigh; Afshar Kermani, Mozhdeh Multi-step gH-difference-based methods for fuzzy differential equations. (English) Zbl 1538.65211 Comput. Appl. Math. 42, No. 1, Paper No. 27, 30 p. (2023). MSC: 65L12 34A07 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Kensuke; Nakamura, Nobuhiro Cointegration analysis of hazard rates and CDSs: applications to pairs trading strategy. (English) Zbl 1508.91563 Physica A 612, Article ID 128489, 24 p. (2023). MSC: 91G20 91G40 62P05 91G60 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Kun; Jiang, Yuting; Huo, Zhijie; Cheng, Di; Fan, Xuejun An improved stiff-ODE solving framework for reacting flow simulations with detailed chemistry in OpenFOAM. (English) Zbl 1519.92003 Combust. Theory Model. 27, No. 1, 57-82 (2023). MSC: 92-04 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Givoli, Dan Dahlquist’s barriers and much beyond. (English) Zbl 07649260 J. Comput. Phys. 475, Article ID 111836, 19 p. (2023). MSC: 65Lxx 65Mxx 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Soomro, Hira; Zainuddin, Nooraini; Daud, Hanita; Sunday, Joshua; Jamaludin, Noraini; Abdullah, Abdullah; Mulono, Apriyanto; Kadir, Evizal Abdul 3-point block backward differentiation formula with an off-step point for the solutions of stiff chemical reaction problems. (English) Zbl 07643851 J. Math. Chem. 61, No. 1, 75-97 (2023). MSC: 65Lxx 34Axx 92Exx × Cite Format Result Cite Review PDF Full Text: DOI
Nibourel, Pierre; Leclercq, Colin; Demourant, Fabrice; Garnier, Eric; Sipp, Denis Reactive control of second Mack mode in a supersonic boundary layer with free-stream velocity/density variations. (English) Zbl 1527.76061 J. Fluid Mech. 954, Paper No. A20, 41 p. (2023). MSC: 76N25 76N20 76E05 76J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Bukač, Martina; Fu, Guosheng; Seboldt, Anyastassia; Trenchea, Catalin Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. (English) Zbl 07625385 J. Comput. Phys. 473, Article ID 111708, 19 p. (2023). MSC: 65Lxx 74Fxx 74Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Koledina, K. F.; Gubaĭdullin, I. M.; Koledin, S. N. Mathematical modeling and computational aspects of multi-criteria optimization of the conditions of the laboratory catalytic reaction. (Russian. English summary) Zbl 1516.90085 Sib. Zh. Vychisl. Mat. 25, No. 2, 129-140 (2022). MSC: 90C29 90C90 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zhang, Lin; Ge, Yongbin; Wang, Zhi Positivity-preserving high-order compact difference method for the Keller-Segel chemotaxis model. (English) Zbl 1508.92033 Math. Biosci. Eng. 19, No. 7, 6764-6794 (2022). MSC: 92C17 35K55 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Adamopoulos, Anastasios; Adamopoulos, Nikolaos Constant and quadratic damping of free oscillations: easy solutions. (English) Zbl 1499.97010 Int. J. Math. Educ. Sci. Technol. 53, No. 11, 3151-3161 (2022). MSC: 97M50 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Weibin; Liu, Tianhao; Duan, Shengyu A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics. (English) Zbl 1538.65183 Comput. Math. Appl. 127, 154-180 (2022). MSC: 74S05 65L05 74S20 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Godwin, Oghonyon Jimevwo; Adewale, Okunuga Solomon; Oluwatomi, Ogunniyi Peter An efficient block solver of trigonometrically fitted method for stiff ODEs. (English) Zbl 1538.65170 Adv. Differ. Equ. Control Process. 28, 73-98 (2022). MSC: 65L04 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Koledina, K. F. Multi-criteria interval optimization of conditions for complex chemical reactions on the basis of a kinetic model. (Russian. English summary) Zbl 1500.92129 Mat. Model. 34, No. 8, 97-109 (2022). MSC: 92E20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Guo, Daniel X. Semi-Lagrangian forward methods for some time-dependent nonlinear partial differential equations. (English) Zbl 1495.65135 Electron. J. Differ. Equ. 2022, Conf. 26, 97-113 (2022). MSC: 65M06 35Q35 65M20 65M25 76M20 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: Link
Asaithambi, Asai On solving the Troesch problem for large sensitivity parameter values using exact derivative evaluations. (English) Zbl 1497.65111 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 202, 18 p. (2022). MSC: 65L10 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Si; Yuan, Quan Condensed Galerkin element of degree \(m\) for first-order initial-value problem with \(O(h^{2m+2})\) super-convergent nodal solutions. (English) Zbl 1492.65222 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 4, 603-614 (2022). MSC: 65L60 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shuaijun; Huang, Pengzhan; He, Yinnian An optimal error estimate of the BDF-Galerkin FEM for the incompressible MHD system. (English) Zbl 1493.65156 J. Math. Anal. Appl. 515, No. 2, Article ID 126460, 30 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun; Li, Meng Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method. (English) Zbl 1524.65606 Comput. Math. Appl. 118, 214-229 (2022). MSC: 65M60 65M15 65M12 65M06 35Q55 35Q41 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Shuenn-Yih A-stable, explicit method for solving stiff problems in science and engineering. (English) Zbl 1491.65058 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 88, 19 p. (2022). MSC: 65L04 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Akram, Muhammad; Saqib, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh An efficient numerical method for solving \(m\)-polar fuzzy initial value problems. (English) Zbl 1513.65213 Comput. Appl. Math. 41, No. 4, Paper No. 157, 42 p. (2022). MSC: 65L05 34A07 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Bukač, Martina; Trenchea, Catalin Adaptive, second-order, unconditionally stable partitioned method for fluid-structure interaction. (English) Zbl 1507.74115 Comput. Methods Appl. Mech. Eng. 393, Article ID 114847, 24 p. (2022). MSC: 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun Superconvergence analysis for a semilinear parabolic equation with BDF-3 finite element method. (English) Zbl 1490.65287 Appl. Anal. 101, No. 6, 1822-1832 (2022). MSC: 65N30 35K10 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Bu, Sunyoung A collocation methods based on the quadratic quadrature technique for fractional differential equations. (English) Zbl 1484.65156 AIMS Math. 7, No. 1, 804-820 (2022). MSC: 65L60 34A08 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun; Zhang, Houchao Superconvergence analysis of a BDF-3 finite element method for nonlinear parabolic equation. (English) Zbl 1499.65534 Comput. Appl. Math. 41, No. 1, Paper No. 7, 23 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M20 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Layton, William; Pei, Wenlong; Trenchea, Catalin Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna. (English) Zbl 1486.65073 Appl. Math. Lett. 125, Article ID 107789, 7 p. (2022). MSC: 65L05 65L04 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Weibin; Deng, Shanyao; Liu, Tianhao; Duan, Shengyu; Huang, Fanglin An improved quartic B-spline based explicit time integration algorithm for structural dynamics. (English) Zbl 1507.74574 Eur. J. Mech., A, Solids 91, Article ID 104407, 23 p. (2022). MSC: 74S99 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jie A-stable linear two-step time integration methods with consistent starting and their equivalent single-step methods in structural dynamics analysis. (English) Zbl 1548.74997 Int. J. Numer. Methods Eng. 122, No. 9, 2312-2359 (2021). MSC: 74S99 65L06 70K40 × Cite Format Result Cite Review PDF Full Text: DOI
Sirisubtawee, Sekson; Khansai, Nattawut; Charoenloedmongkhon, Akapak Investigation on dynamics of an impulsive predator-prey system with generalized Holling type IV functional response and anti-predator behavior. (English) Zbl 1494.92107 Adv. Difference Equ. 2021, Paper No. 160, 26 p. (2021). MSC: 92D25 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Olatunji, P. O.; Ikhile, M. N. O. FSAL mono-implicit Nordsieck general linear methods with inherent Runge-Kutta stability for DAEs. (English) Zbl 1492.65225 J. Korean Soc. Ind. Appl. Math. 25, No. 4, 262-295 (2021). MSC: 65L80 65L05 65L06 65H05 34A06 × Cite Format Result Cite Review PDF Full Text: DOI
Penner, Alvin Characterization of bifurcations in the Zeeman catastrophe machine using singular value decomposition. (English) Zbl 1485.70017 Chaos Solitons Fractals 148, Article ID 111054, 8 p. (2021). MSC: 70K50 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Cardelli, Luca; Grosu, Radu; Larsen, Kim G.; Tribastone, Mirco; Tschaikowski, Max; Vandin, Andrea Lumpability for uncertain continuous-time Markov chains. (English) Zbl 1492.60219 Abate, Alessandro (ed.) et al., Quantitative evaluation of systems. 18th international conference, QEST 2021, Paris, France, August 23–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12846, 391-409 (2021). MSC: 60J25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ratas, Mart; Salupere, Andrus; Majak, Jüri Solving nonlinear PDEs using the higher order Haar wavelet method on nonuniform and adaptive grids. (English) Zbl 1492.65282 Math. Model. Anal. 26, No. 1, 147-169 (2021). MSC: 65M70 65T60 35Q51 35G31 65M50 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Luan, Vu Thai; Michels, Dominik L. Exponential Rosenbrock methods and their application in visual computing. (English) Zbl 1477.65107 Jax, Tim (ed.) et al., Rosenbrock-Wanner-type methods. Theory and applications. Based on the minisymposium, University of Bath, Bath, UK, September 2017. Cham: Springer. Math. Online First Collect., 49-68 (2021). MSC: 65L04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arushanyan, O. B.; Zaletkin, S. F. Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem. (English. Russian original) Zbl 07432170 Mosc. Univ. Math. Bull. 76, No. 3, 118-122 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 3, 31-36 (2021). MSC: 65Lxx 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
saqib, Muhammad; Akram, Muhammad; Bashir, Shahida; Allahviranloo, Tofigh A Runge-Kutta numerical method to approximate the solution of bipolar fuzzy initial value problems. (English) Zbl 1476.65138 Comput. Appl. Math. 40, No. 4, Paper No. 151, 43 p. (2021). MSC: 65L06 34A07 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Weibin; Deng, Shanyao; Wang, Ningbo; Duan, Shengyu; Fang, Daining An improved sub-step time-marching procedure for linear and nonlinear dynamics with high-order accuracy and high-efficient energy conservation. (English) Zbl 1481.65109 Appl. Math. Modelling 90, 78-100 (2021). MSC: 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Busquet, Denis; Marquet, Olivier; Richez, François; Juniper, Matthew; Sipp, Denis Bifurcation scenario for a two-dimensional static airfoil exhibiting trailing edge stall. (English) Zbl 1495.76044 J. Fluid Mech. 928, Paper No. A3, 27 p. (2021). MSC: 76E30 76F40 76M12 76M20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Gu, Yajing; Zhu, Yuanguo Adams predictor-corrector method for solving uncertain differential equation. (English) Zbl 1477.65022 Comput. Appl. Math. 40, No. 2, Paper No. 61, 20 p. (2021). MSC: 65C30 65L06 34F05 60H35 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Abdi, Ali; Hojjati, Gholamreza Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants. (English) Zbl 1472.65081 Numer. Algorithms 87, No. 4, 1577-1591 (2021). MSC: 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huimin; Zhang, Runsen; Masarati, Pierangelo Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods. (English) Zbl 07360505 Comput. Mech. 67, No. 1, 289-313 (2021). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Luan, Vu Thai; Michels, Dominik L. Efficient exponential time integration for simulating nonlinear coupled oscillators. (English) Zbl 1471.65082 J. Comput. Appl. Math. 391, Article ID 113429, 18 p. (2021). MSC: 65L06 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, David; Pugh, M. C.; Dawson, F. P. Adaptive time-stepping schemes for the solution of the Poisson-Nernst-Planck equations. (English) Zbl 1462.65116 Appl. Numer. Math. 163, 254-269 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M50 78A57 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wieloch, Victoria; Arnold, Martin BDF integrators for constrained mechanical systems on Lie groups. (English) Zbl 1459.37075 J. Comput. Appl. Math. 387, Article ID 112517, 18 p. (2021). MSC: 37M15 65P10 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre Local error estimation and step size control in adaptive linear multistep methods. (English) Zbl 1458.65080 Numer. Algorithms 86, No. 2, 537-563 (2021). MSC: 65L06 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Junjie; Huang, Yuli; Qu, Zhe An efficient and unconditionally stable numerical algorithm for nonlinear structural dynamics. (English) Zbl 1548.74926 Int. J. Numer. Methods Eng. 121, No. 20, 4614-4629 (2020). MSC: 74S05 65M60 65M12 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jie A-stable two-step time integration methods with controllable numerical dissipation for structural dynamics. (English) Zbl 1548.74935 Int. J. Numer. Methods Eng. 121, No. 1, 54-92 (2020). MSC: 74S05 65Z05 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun; Yang, Xiaoxia Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method. (English) Zbl 1480.65270 Int. J. Comput. Math. 97, No. 12, 2487-2506 (2020). MSC: 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Gorikhovskii, V. I.; Nagnibeda, E. A. Optimization of \(\mathrm{CO}_2\) vibrational kinetics modeling in the full state-to-state approach. (English. Russian original) Zbl 1459.65102 Vestn. St. Petersbg. Univ., Math. 53, No. 3, 358-365 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 527-538 (2020). MSC: 65L05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Holst, Kevin R.; Glasby, Ryan S.; Bond, Ryan B. On the effect of temporal error in high-order simulations of unsteady flows. (English) Zbl 1453.76071 J. Comput. Phys. 402, Article ID 108989, 21 p. (2020). MSC: 76M10 76N06 × Cite Format Result Cite Review PDF Full Text: DOI
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. (English) Zbl 1455.65110 Comput. Methods Appl. Math. 20, No. 4, 739-762 (2020). MSC: 65L05 65L06 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun; Shi, Dongyang Superconvergence analysis for nonlinear reaction-diffusion equation with BDF-FEM. (English) Zbl 1446.65182 Math. Methods Appl. Sci. 43, No. 7, 4732-4743 (2020). MSC: 65N30 65M06 65N15 65M15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Gander, Martin J.; Wanner, Gerhard Exact BDF stability angles with Maple. (English) Zbl 1451.65093 BIT 60, No. 3, 615-617 (2020). MSC: 65L07 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhongli; Hu, Jintao; Tian, Hongjiong Hybrid Runge-Kutta methods for ordinary differential equations. (English) Zbl 1449.65158 Comput. Appl. Math. 39, No. 3, Paper No. 176, 14 p. (2020). MSC: 65L06 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Generalized second derivative linear multistep methods based on the methods of Enright. (English) Zbl 1442.65131 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 76, 21 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L10 65L04 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Asaithambi, Asai Solution of third grade thin film flow using algorithmic differentiation. (English) Zbl 1446.76072 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 74, 12 p. (2020). MSC: 76A20 76A05 76M45 65D25 × Cite Format Result Cite Review PDF Full Text: DOI
Burkardt, John; Trenchea, Catalin Refactorization of the midpoint rule. (English) Zbl 1453.65157 Appl. Math. Lett. 107, Article ID 106438, 6 p. (2020). MSC: 65L05 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Lóczi, Lajos Optimal subsets in the stability regions of multistep methods. (English) Zbl 07202186 Numer. Algorithms 84, No. 2, 679-715 (2020). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Qian; Shi, Dongyang New error analysis of a second order BDF scheme for unsteady natural convection problem. (English) Zbl 1453.76079 Appl. Numer. Math. 154, 243-259 (2020). MSC: 76M10 76R10 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinze; Li, Xiangyang; Yu, Kaiping Enhanced studies on the composite sub-step algorithm for structural dynamics: the Bathe-like algorithm. (English) Zbl 1481.65101 Appl. Math. Modelling 80, 33-64 (2020). MSC: 65L04 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinze; Yu, Kaiping; He, Haonan A second-order accurate three sub-step composite algorithm for structural dynamics. (English) Zbl 1481.65107 Appl. Math. Modelling 77, Part 2, 1391-1412 (2020). MSC: 65L06 70J35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Junjun Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM. (English) Zbl 1437.65148 Appl. Numer. Math. 153, 457-472 (2020). MSC: 65M60 65N30 65M06 65N15 65M15 65M12 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Irandoust-pakchin, Safar; Abdi-mazraeh, Somayeh; Kheiri, Hossein Construction of new generating function based on linear barycentric rational interpolation for numerical solution of fractional differential equations. (English) Zbl 1440.65067 J. Comput. Appl. Math. 375, Article ID 112799, 23 p. (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L03 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wenjia; Hou, Yanren; Xue, Dandan Numerical analysis of a 4th-order time parallel algorithm for the time-dependent Navier-Stokes equations. (English) Zbl 1435.65163 Appl. Numer. Math. 150, 361-383 (2020). MSC: 65M60 65M06 65M12 65Y05 76D05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Hacker, E.; Gottlieb, O. Local and global bifurcations in magnetic resonance force microscopy. (English) Zbl 1430.70080 Nonlinear Dyn. 99, No. 1, 201-225 (2020). MSC: 70K50 70K20 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Kiseok Chebyshev collocation method for the constant mobility Cahn-Hilliard equation in a square domain. (English) Zbl 1433.65242 Appl. Math. Comput. 370, Article ID 124931, 12 p. (2020). MSC: 65M70 35K35 35K55 82C26 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Blackburn, H. M.; Lee, D.; Albrecht, T.; Singh, J. Semtex: a spectral element-Fourier solver for the incompressible Navier-Stokes equations in cylindrical or Cartesian coordinates. (English) Zbl 1515.65256 Comput. Phys. Commun. 245, Article ID 106804, 13 p. (2019). MSC: 65M70 65-04 × Cite Format Result Cite Review PDF Full Text: DOI
Muscat, Laurent; Puigt, Guillaume; Montagnac, Marc; Brenner, Pierre A coupled implicit-explicit time integration method for compressible unsteady flows. (English) Zbl 1453.76104 J. Comput. Phys. 398, Article ID 108883, 37 p. (2019). MSC: 76M12 76N06 65M08 76F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Jeanmasson, G.; Mary, I.; Mieussens, L. On some explicit local time stepping finite volume schemes for CFD. (English) Zbl 1453.76098 J. Comput. Phys. 397, Article ID 108818, 27 p. (2019). MSC: 76M12 76F65 35L65 65M08 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Zheng, Yong-Lai; Liu, Don; Han, Hui-Li; Ferdows, Mohammad Spectral element simulations of interactive particles in a fluid. (English) Zbl 1442.76127 Comput. Math. Appl. 77, No. 8, 2029-2050 (2019). MSC: 76T20 76D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Schoenmaker, Wim; Brachtendorf, Hans-Georg; Bittner, Kai; Tischendorf, Caren; Strohm, Christian Holistic/monolithic time integration. (English) Zbl 07215734 ter Maten, E. Jan W. (ed.) et al., Nanoelectronic coupled problems solutions. Cham: Springer. Math. Ind. 29, 117-130 (2019). MSC: 65-XX 65Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinze; Yu, Kaiping An alternative to the Bathe algorithm. (English) Zbl 1466.65047 Appl. Math. Modelling 69, 255-272 (2019). MSC: 65L05 70J35 × Cite Format Result Cite Review PDF Full Text: DOI
Ogunfeyitimi, S. E.; Ikhile, M. N. O. Second derivative generalized extended backward differentiation formulas for stiff problems. (English) Zbl 1432.93138 J. Korean Soc. Ind. Appl. Math. 23, No. 3, 179-202 (2019). MSC: 93C15 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Grüne, Lars; Schaller, Manuel; Schiela, Anton Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. (English) Zbl 1420.49025 SIAM J. Control Optim. 57, No. 4, 2753-2774 (2019). MSC: 49K20 49K40 93D20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Matthes, Daniel; Plazotta, Simon A variational formulation of the BDF2 method for metric gradient flows. (English) Zbl 1416.65150 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 145-172 (2019). MSC: 65J08 34G25 35A15 35G25 35K46 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muela, J.; Borrell, R.; Ventosa-Molina, J.; Jofre, L.; Lehmkuhl, O.; Pérez-Segarra, C. D. A dynamic load balancing method for the evaluation of chemical reaction rates in parallel combustion simulations. (English) Zbl 1496.80008 Comput. Fluids 190, 308-321 (2019). MSC: 80A25 80A30 80A32 65M06 76M20 76V05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Junjun; Li, Qingfu Superconvergence analysis of a linearized three-step backward differential formula finite element method for nonlinear Sobolev equation. (English) Zbl 1418.65185 Math. Methods Appl. Sci. 42, No. 9, 3359-3376 (2019). MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Montijano, J. I.; Podhaisky, H.; Rández, L.; Calvo, M. A family of \(L\)-stable singly implicit peer methods for solving stiff IVPs. (English) Zbl 07074123 BIT 59, No. 2, 483-502 (2019). MSC: 65L20 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Abdi, A.; Hosseini, S. A.; Podhaisky, H. Adaptive linear barycentric rational finite differences method for stiff ODEs. (English) Zbl 1503.65141 J. Comput. Appl. Math. 357, 204-214 (2019). MSC: 65L04 65L05 65L06 65L12 65D05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Pandey, P. K. A new computational algorithm for the solution of second order initial value problems in ordinary differential equations. (English) Zbl 1515.65202 Appl. Math. Nonlinear Sci. 3, No. 1, 167-174 (2018). MSC: 65L10 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Courtier, N. E.; Richardson, G.; Foster, J. M. A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells. (English) Zbl 1480.82018 Appl. Math. Modelling 63, 329-348 (2018). MSC: 82M10 65M06 65M60 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv