Sunten, J.; Schwarz, Alexander; Bluhm, J.; Schröder, J. Analysis of dynamic problems in fully saturated porous media using an embedded velocity integration formulation with an adaptive Runge-Kutta method. (English) Zbl 07982165 Int. J. Numer. Methods Eng. 126, No. 1, Article ID e7610, 16 p. (2025). MSC: 74-XX 68Wxx 74Sxx × 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
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
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
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
Ishimwe, Ange Pacifique; Deleersnijder, Eric; Legat, Vincent; Lambrechts, Jonathan A multi-scale IMEX second order Runge-Kutta method for 3D hydrodynamic ocean models. (English) Zbl 07953975 J. Comput. Phys. 520, Article ID 113482, 22 p. (2025). MSC: 76Mxx 65Lxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Holzinger, Stefan; Arnold, Martin; Gerstmayr, Johannes Evaluation and implementation of Lie group integration methods for rigid multibody systems. (English) Zbl 07968405 Multibody Syst. Dyn. 62, No. 3, 273-306 (2024). MSC: 70-08 70E55 × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Yan; Du, Rui; Wang, Cheng A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters. (English) Zbl 07966456 Numer. Math., Theory Methods Appl. 17, No. 4, 1041-1073 (2024). MSC: 35K61 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
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
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
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
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
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
Kunkel, Peter; Mehrmann, Volker Differential-algebraic equations. Analysis and numerical solution. 2nd edition. (English) Zbl 07925546 EMS Textbooks in Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-016-7/hbk; 978-3-98547-516-2/ebook). xi, 526 p. (2024). MSC: 34A09 34A12 34B15 65L80 65L06 65-01 34-01 × Cite Format Result Cite Review PDF Full Text: DOI
Kahza, Hamad El; Taitano, William; Qiu, Jing-Mei; Chacón, Luis Krylov-based adaptive-rank implicit time integrators for stiff problems with application to nonlinear Fokker-Planck kinetic models. (English) Zbl 07923422 J. Comput. Phys. 518, Article ID 113332, 20 p. (2024). MSC: 65Fxx 15Axx 65Lxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Xianfa; Wang, Wansheng; Wang, Bin; Fang, Yonglei Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems. (English) Zbl 1548.65159 J. Math. Chem. 62, No. 9, 2191-2221 (2024). MSC: 65L06 65P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shiqin; Yu, Haijun Energetic spectral-element time marching methods for phase-field nonlinear gradient systems. (English) Zbl 1546.65085 Appl. Numer. Math. 205, 38-59 (2024). MSC: 65M70 65M60 65M06 65L06 65N35 65N30 65B05 65M12 42C10 35A15 65Y05 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhen, Meiyuan; Ding, Xuejun; Qu, Kun; Cai, Jinsheng; Pan, Shucheng Enhancing the convergence of the multigrid-reduction-in-time method for the Euler and Navier-Stokes equations. (English) Zbl 07900958 J. Sci. Comput. 100, No. 2, Paper No. 40, 22 p. (2024). MSC: 76M20 76N06 76R99 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Guanlan; Boscarino, Sebastiano; Xiong, Tao High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms. (English) Zbl 1542.65083 Commun. Comput. Phys. 35, No. 5, 1229-1262 (2024). MSC: 65M06 65L06 65M12 65M22 76B15 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maurya, Vikas; Singh, Ankit; Rajpoot, Manoj K. Implicit-explicit Runge-Kutta methods for pricing financial derivatives in state-dependent regime-switching jump-diffusion models. (English) Zbl 07893831 J. Appl. Math. Comput. 70, No. 2, 1601-1632 (2024). Reviewer: Paweł Kliber (Poznan) MSC: 91G60 65N06 65L06 91G20 45K05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wansheng; Li, Jinping; Jin, Chengyu Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space. (English) Zbl 1541.65113 J. Comput. Appl. Math. 448, Article ID 115939, 18 p. (2024). MSC: 65M60 65M15 65M12 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhiming; Liu, Yong Efficient and parallel solution of high-order continuous time Galerkin for dissipative and wave propagation problems. (English) Zbl 1543.65148 SIAM J. Sci. Comput. 46, No. 3, A2073-A2100 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 65M20 65L06 65L60 65Y05 41A21 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gander, Martin J.; Outrata, Michal Spectral analysis of implicit \(s\)-stage block Runge-Kutta preconditioners. (English) Zbl 1545.65310 SIAM J. Sci. Comput. 46, No. 3, A2047-A2072 (2024). MSC: 65L06 65F10 65E05 × Cite Format Result Cite Review PDF Full Text: DOI
Lopez, L.; Maset, S. Time reparametrization and event location for discontinuous differential algebraic equations. (English) Zbl 07870824 J. Sci. Comput. 100, No. 1, Paper No. 3, 26 p. (2024). MSC: 65L80 34A09 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yanming; Li, Yu; Yu, Yuexin; Wang, Wansheng Implicit Runge-Kutta with spectral Galerkin methods for the fractional diffusion equation with spectral fractional Laplacian. (English) Zbl 07866639 Numer. Methods Partial Differ. Equations 40, No. 3, Article ID e23074, 25 p. (2024). MSC: 65M70 65M60 65L06 65N35 65N30 65M12 35B65 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yazhou; Xue, Xiaodai; Tamma, Kumar K.; Adams, Nikolaus A. Algebraically stable SDIRK methods with controllable numerical dissipation for first/second-order time-dependent problems. (English) Zbl 07863644 J. Comput. Phys. 508, Article ID 113032, 22 p. (2024). MSC: 65Lxx 65Mxx 74Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Boscarino, Sebastiano; Russo, Giovanni Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review. (English) Zbl 1545.65307 S\(\vec{\text{e}}\)MA J. 81, No. 1, 3-49 (2024). MSC: 65L06 65M20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Dravins, Ivo; Serra-Capizzano, Stefano; Neytcheva, Maya Spectral analysis of preconditioned matrices arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order. (English) Zbl 1539.65049 SIAM J. Matrix Anal. Appl. 45, No. 2, 1007-1034 (2024). MSC: 65F15 65L06 65F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hunter, Joseph; Sun, Zheng; Xing, Yulong Stability and time-step constraints of implicit-explicit Runge-Kutta methods for the linearized Korteweg-de Vries equation. (English) Zbl 1549.65369 Commun. Appl. Math. Comput. 6, No. 1, 658-687 (2024). MSC: 65M60 65M06 65L06 65M15 65M12 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Gander, Martin J.; Outrata, Michal Spectral analysis of implicit 2 stage block Runge-Kutta preconditioners. (English) Zbl 1545.65309 Linear Algebra Appl. 693, 214-235 (2024). MSC: 65L06 65F10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Munch, Peter; Dravins, Ivo; Kronbichler, Martin; Neytcheva, Maya Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit. (English) Zbl 1537.65088 SIAM J. Sci. Comput. 46, No. 2, S71-S96 (2024). MSC: 65L06 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gatti, Federico; de Falco, Carlo; Perotto, Simona; Formaggia, Luca A scalable well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping. (English) Zbl 1545.76061 Appl. Math. Comput. 468, Article ID 128525, 21 p. (2024). MSC: 76M10 76T25 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Maurya, Vikas; Singh, Ankit; Yadav, Vivek S.; Rajpoot, Manoj K. Efficient pricing of options in jump-diffusion models: novel implicit-explicit methods for numerical valuation. (English) Zbl 1540.91091 Math. Comput. Simul. 217, 202-225 (2024). MSC: 91G60 65L06 65M06 65M12 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Axelsson, Owe; Dravins, Ivo; Neytcheva, Maya Stage-parallel preconditioners for implicit Runge-Kutta methods of arbitrarily high order, linear problems. (English) Zbl 07830555 Numer. Linear Algebra Appl. 31, No. 1, e2532, 24 p. (2024). MSC: 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijin; Xu, Anping; Tao, Qi Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 1549.65394 J. Comput. Math. 42, No. 1, 1-23 (2024). MSC: 65M60 65M12 65M15 65M06 65L06 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chengjian; Wang, Siyi; Tang, Changyang Implicit Runge-Kutta-Nyström methods with Lagrange interpolation for nonlinear second-order IVPs with time-variable delay. (English) Zbl 1549.65208 Adv. Appl. Math. Mech. 16, No. 2, 423-436 (2024). MSC: 65L03 65L05 65L06 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Abhijit; Ketcheson, David; Seibold, Benjamin; Shirokoff, David Algebraic structure of the weak stage order conditions for Runge-Kutta methods. (English) Zbl 1537.65084 SIAM J. Numer. Anal. 62, No. 1, 48-72 (2024). Reviewer: Kevin Burrage (Brisbane) MSC: 65L06 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Fish, Alex C.; Reynolds, Daniel R.; Roberts, Steven B. Implicit-explicit multirate infinitesimal stage-restart methods. (English) Zbl 1522.65113 J. Comput. Appl. Math. 438, Article ID 115534, 23 p. (2024). MSC: 65L05 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visconti, Giuseppe; Tozza, Silvia; Semplice, Matteo; Puppo, Gabriella A conservative a-posteriori time-limiting procedure in Quinpi schemes. (English) Zbl 07921308 Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 191-212 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65N08 65M20 65L04 65L06 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, N. I. N.; Majid, Z. A. The implicit multistep block method with an off-step point for initial value problems of neutral delay Volterra integro-differential equations. (English) Zbl 1537.65199 Malays. J. Math. Sci. 17, No. 3, 487-508 (2023). MSC: 65R20 65L05 65L06 65L20 45J05 45D05 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Berger, Marsha J.; Leveque, Randall J. Towards adaptive simulations of dispersive tsunami propagation from an asteroid impact. (English) Zbl 1535.65126 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5056-5071 (2023). MSC: 65M06 65L06 65M50 65N50 76B15 76B25 86A05 76-04 86-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qian, Xu; Zhang, Hong; Yan, Jingye; Song, Songhe Novel high-order mass- and energy-conservative Runge-Kutta integrators for the regularized logarithmic Schrödinger equation. (English) Zbl 07814774 Numer. Math., Theory Methods Appl. 16, No. 4, 993-1012 (2023). MSC: 65Mxx 35Q55 65L06 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Iollo, Angelo; Puppo, Gabriella; Thomann, Andrea Two-dimensional linear implicit relaxed scheme for hyperbolic conservation laws. (English) Zbl 1534.65158 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 171-179 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65C05 76N15 74F10 74B20 74S10 74S20 76M12 76M20 35Q74 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Meisrimel, Peter; Monge, Azahar; Birken, Philipp A time adaptive multirate Dirichlet-Neumann waveform relaxation method for heterogeneous coupled heat equations. (English) Zbl 1532.65055 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202100328, 19 p. (2023). MSC: 65M06 65L06 65N55 65M50 65B05 65M12 74F10 74A15 80A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Jin; Fu, Yayun A high-order linearly implicit energy-preserving partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. (English) Zbl 1531.65094 Netw. Heterog. Media 18, No. 1, 399-411 (2023). MSC: 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Noren, Håkon Learning Hamiltonian systems with mono-implicit Runge-Kutta methods. (English) Zbl 1535.65105 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 552-559 (2023). MSC: 65L09 65L06 65P10 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lan, Rihui; Ju, Lili; Wang, Zhu; Gunzburger, Max A second-order implicit-explicit scheme for the baroclinic-barotropic split system of primitive equations. (English) Zbl 1549.65319 Commun. Comput. Phys. 34, No. 5, 1306-1331 (2023). MSC: 65M08 65M06 65N08 35Q86 65Y05 65M12 65L06 65L20 65M15 86A05 76U60 76M12 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Martens, Björn Error estimates for Runge-Kutta schemes of optimal control problems with index 1 DAEs. (English) Zbl 1536.49005 Comput. Optim. Appl. 86, No. 3, 1299-1325 (2023). MSC: 49J15 49K15 49M25 34A09 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Birke, Claudius; Boscheri, Walter; Klingenberg, Christian A high order semi-implicit scheme for ideal magnetohydrodynamics. (English) Zbl 1529.65028 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 21-37 (2023). MSC: 65M08 65M06 65L06 65N08 76W05 76X05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Buvoli, Tommaso; Southworth, Ben S. Additive polynomial time integrators. I: Framework and fully implicit-explicit collocation methods. (English) Zbl 1537.65081 SIAM J. Sci. Comput. 45, No. 6, A2945-A2972 (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 65L05 65L20 65M20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salgado, Abner J.; Tomas, Ignacio Diagonally implicit Runge-Kutta schemes: discrete energy-balance laws and compactness properties. (English) Zbl 07775696 J. Numer. Math. 31, No. 4, 313-341 (2023). MSC: 65-XX 65N12 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jay, Laurent O.; Sokratova, Olga A note on approximate Jacobians of implicit Runge-Kutta methods and convergence of modified Newton iterations. (English) Zbl 1545.65311 BIT 63, No. 4, Paper No. 54, 15 p. (2023). MSC: 65L06 65L05 65L80 × Cite Format Result Cite Review PDF Full Text: DOI
Flaig, Thomas G. Implicit Runge-Kutta schemes for optimal control problems with evolution equations. (English) Zbl 1529.65063 Comput. Methods Appl. Math. 23, No. 4, 917-952 (2023). MSC: 65M60 65L06 65L60 65M15 49M29 49M25 49M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiori, Matilde; Pramanik, Satyajit; Macminn, Christopher W. Flow and deformation due to periodic loading in a soft porous material. (English) Zbl 1542.76068 J. Fluid Mech. 974, Paper No. A2, 34 p. (2023). MSC: 76S05 74F10 76M22 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertaglia, Giulia; Pareschi, Lorenzo Multiscale constitutive framework of one-dimensional blood flow modeling: asymptotic limits and numerical methods. (English) Zbl 1525.76118 Multiscale Model. Simul. 21, No. 3, 1237-1267 (2023). MSC: 76Z05 76A10 76M45 76M12 74F10 74L15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Hui; Zhang, Mengyuan Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 1538.65343 Comput. Math. Appl. 149, 211-220 (2023). MSC: 65M60 65M12 65M15 65L06 35L65 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Thomann, Andrea; Iollo, Angelo; Puppo, Gabriella Implicit relaxed all Mach number schemes for gases and compressible materials. (English) Zbl 1525.65088 SIAM J. Sci. Comput. 45, No. 5, A2632-A2656 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65L04 65L06 76M12 76M20 76N15 74B20 74F10 74S10 74S20 35L65 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Linders, Viktor; Ranocha, Hendrik; Birken, Philipp Resolving entropy growth from iterative methods. (English) Zbl 1529.65015 BIT 63, No. 4, Paper No. 45, 26 p. (2023). MSC: 65M06 65N06 65L06 65N22 65M12 65M15 65H10 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeifang, Jonas; Thenery Manikantan, Arjun; Schütz, Jochen Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method. (English) Zbl 1545.65387 Appl. Math. Comput. 457, Article ID 128198, 27 p. (2023). MSC: 65M60 35Q35 65L06 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jing; Ye, Ying; Zhu, Danchen; Qian, Lingzhi Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation. (English) Zbl 1538.65396 Comput. Appl. Math. 42, No. 6, Paper No. 263, 20 p. (2023). MSC: 65M60 65M99 65L06 65N12 65N30 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijin; Li, Fengyan; Shu, Chi-Wang; Zhang, Qiang Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. (English) Zbl 1529.65088 Math. Comput. 92, No. 344, 2475-2513 (2023). MSC: 65M60 65M06 65L06 65N30 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Haiyan; Lu, Tiao; Yao, Wenqi; Zhang, Weitong Numerical study of transient Wigner-Poisson model for RTDs: numerical method and its applications. (English) Zbl 1541.65121 SIAM J. Sci. Comput. 45, No. 4, A1766-A1788 (2023). MSC: 65M70 65M06 65N35 65N06 65L06 82D37 81S30 81Q05 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Khasi, Manoochehr; Rashidinia, Jalil; Rasoulizadeh, Mohammad Navaz Fast computing approaches based on a bilinear pseudo-spectral method for nonlinear acoustic wave equations. (English) Zbl 1518.65119 SIAM J. Sci. Comput. 45, No. 4, B413-B439 (2023). MSC: 65M70 65L06 65F15 65N15 35L05 41A60 76Q05 35Q35 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Huynh, H. T. Discontinuous Galerkin and related methods for ODE. (English) Zbl 1517.65061 J. Sci. Comput. 96, No. 2, Paper No. 51, 30 p. (2023). MSC: 65L06 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Sebastiano, Boscarino High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312 J. Sci. Comput. 96, No. 1, Paper No. 11, 31 p. (2023). MSC: 65-XX 35G25 65M06 65M20 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
You, Hojun; Kim, Juhyun; Kim, Chongam Implicit quadrature-free direct reconstruction method for efficient scale-resolving simulations. (English) Zbl 1524.76234 Commun. Comput. Phys. 33, No. 4, 992-1034 (2023). MSC: 76M10 76N06 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Sato, Shun; Miyatake, Yuto; Butcher, John C. High-order linearly implicit schemes conserving quadratic invariants. (English) Zbl 07705764 Appl. Numer. Math. 187, 71-88 (2023). MSC: 65Mxx 65Lxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demba, Musa Ahmed; Senu, Norazak; Ramos, Higinio; Kumam, Poom; Watthayu, Wiboonsak A phase- and amplification-fitted 5(4) diagonally implicit Runge-Kutta-Nyström pair for oscillatory systems. (English) Zbl 1514.65089 Bull. Iran. Math. Soc. 49, No. 3, Paper No. 24, 23 p. (2023). MSC: 65L06 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Giri, Subhajit; Sen, Shuvam Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes. (English) Zbl 1516.65052 J. Sci. Comput. 96, No. 1, Paper No. 9, 44 p. (2023). MSC: 65L06 65D30 65M22 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zehner, Paul; Hashimoto, Atsushi Acceleration of the data-parallel lower-upper relaxation time-integration method on GPU for an unstructured CFD solver. (English) Zbl 1521.76764 Comput. Fluids 256, Article ID 105842, 23 p. (2023). MSC: 76Mxx 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Bulatov, M. V.; Solovarova, L. S. Multistep methods for second-order differential-algebraic equations. (English. Russian original) Zbl 1523.65068 Differ. Equ. 59, No. 3, 392-403 (2023); translation from Differ. Uravn. 59, No. 3, 389-399 (2023). MSC: 65L80 65L06 34A09 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
She, Zi-Hang; Qiu, Li-Min Fast TTTS iteration methods for implicit Runge-Kutta temporal discretization of Riesz space fractional advection-diffusion equations. (English) Zbl 1538.65266 Comput. Math. Appl. 141, 42-53 (2023). MSC: 65M06 35R11 65F10 65F08 15B05 65M12 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Cordero-Carrión, Isabel; Santos-Pérez, Samuel; Martínez-Vidallach, Clara Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme. (English) Zbl 1511.35087 Appl. Math. Comput. 443, Article ID 127774, 14 p. (2023). MSC: 35F50 35L60 35Q35 35Q75 65M06 65M12 76W05 76Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Thomas, Jim; Ding, Lingyun Upscale transfer of waves in one-dimensional rotating shallow water. (English) Zbl 1528.76012 J. Fluid Mech. 961, Paper No. A2, 21 p. (2023). MSC: 76B15 76U05 76F55 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Jens; Schmitt, Bernhard A. Exact discrete solutions of boundary control problems for the 1D heat equation. (English) Zbl 07675420 J. Optim. Theory Appl. 196, No. 3, 1106-1118 (2023). MSC: 65-XX 49J15 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Bochacik, Tomasz On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes. (English) Zbl 1512.65011 Adv. Comput. Math. 49, No. 2, Paper No. 14, 16 p. (2023). MSC: 65C30 65L05 65L06 65L70 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xiaofeng; Wang, Kun; Liu, Tiegang; Feng, Yiwei; Zhang, Bin; Yuan, Weixiong; Wang, Xiaojun HODG: high-order discontinuous Galerkin methods for solving compressible Euler and Navier-Stokes equations – an open-source component-based development framework. (English) Zbl 1510.76135 Comput. Phys. Commun. 286, Article ID 108660, 17 p. (2023). MSC: 76M99 76M20 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Puppo, G.; Semplice, M.; Visconti, G. Quinpi: integrating conservation laws with CWENO implicit methods. (English) Zbl 1524.65461 Commun. Appl. Math. Comput. 5, No. 1, 343-369 (2023). MSC: 65M08 65M20 35L65 65L04 65L06 65M06 65N08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Xiuhui; Tian, Lulu; Yang, Yang; Guo, Hui Positivity-preserving local discontinuous Galerkin method for pattern formation dynamical model in polymerizing actin flocks. (English) Zbl 1515.65242 J. Comput. Math. 41, No. 4, 599-618 (2023). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Abu-Labdeh, Razan; MacLachlan, Scott; Farrell, Patrick E. Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. (English) Zbl 07660332 J. Comput. Phys. 478, Article ID 111961, 18 p. (2023). MSC: 65Nxx 65Fxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spiteri, Raymond J.; Wei, Siqi Fractional-step Runge-Kutta methods: representation and linear stability analysis. (English) Zbl 07652787 J. Comput. Phys. 476, Article ID 111900, 18 p. (2023). MSC: 65Lxx 65Mxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paris, Romain; Beneddine, Samir; Dandois, Julien Reinforcement-learning-based actuator selection method for active flow control. (English) Zbl 1507.76055 J. Fluid Mech. 955, Paper No. A8, 34 p. (2023). MSC: 76D55 76M22 76M20 76M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wei; Liu, Chunxia; Jiang, Chaolong; Zheng, Chenxuan Arbitrary high-order linearly implicit energy-conserving schemes for the Rosenau-type equation. (English) Zbl 1524.65438 Appl. Math. Lett. 138, Article ID 108530, 7 p. (2023). MSC: 65M06 65M12 35Q53 65-02 65L06 65P10 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez-Bueno, I.; Boscarino, S.; Castro, M. J.; Parés, C.; Russo, G. Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. (English) Zbl 1506.65135 Appl. Numer. Math. 184, 18-48 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N06 65L06 76B15 76M12 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs. (English) Zbl 1511.65068 Math. Comput. 92, No. 339, 117-146 (2023). MSC: 65L06 65L20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Tao; Yu, Yuexin Stability analysis of implicit-explicit \(\theta\)-methods for composite stiff neutral functional differential equations in Banach space. (English) Zbl 1506.65090 J. Comput. Appl. Math. 419, Article ID 114760, 14 p. (2023). MSC: 65L03 65L04 65L06 65J08 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, N. A.; Senu, N.; Ibrahim, Z. B.; Othman, M. Stability analysis of diagonally implicit two derivative Runge-Kutta methods for solving delay differential equations. (English) Zbl 1533.65093 Malays. J. Math. Sci. 16, No. 2, 215-235 (2022). MSC: 65L03 34K05 65L05 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Gottlieb, Sigal; Grant, Zachary J.; Hu, Jingwei; Shu, Ruiwen High order strong stability preserving multiderivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties. (English) Zbl 1522.65120 SIAM J. Numer. Anal. 60, No. 1, 423-449 (2022). MSC: 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fei, Fei; Jenny, Patrick A high-order unified stochastic particle method based on the Bhatnagar-Gross-Krook model for multi-scale gas flows. (English) Zbl 1517.76053 Comput. Phys. Commun. 274, Article ID 108303, 17 p. (2022). MSC: 76M28 76M35 76M20 76P05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lai; Trojak, Will; Witherden, Freddie; Jameson, Antony Nonlinear \(p\)-multigrid preconditioner for implicit time integration of compressible Navier-Stokes equations with \(p\)-adaptive flux reconstruction. (English) Zbl 1526.76036 J. Sci. Comput. 93, No. 3, Paper No. 81, 24 p. (2022). MSC: 76M20 76N06 × Cite Format Result Cite Review PDF Full Text: DOI
Glandon, Steven R.; Narayanamurthi, Mahesh; Sandu, Adrian Linearly implicit multistep methods for time integration. (English) Zbl 1501.65024 SIAM J. Sci. Comput. 44, No. 6, A3437-A3462 (2022). MSC: 65L04 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Ming; Calkins, Michael A. Asymptotic behaviour of rotating convection-driven dynamos in the plane layer geometry. (English) Zbl 1529.76101 J. Fluid Mech. 951, Paper No. A24, 35 p. (2022). MSC: 76W05 76U05 76R99 76M45 76M22 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Torlo, Davide; Öffner, Philipp; Ranocha, Hendrik Issues with positivity-preserving Patankar-type schemes. (English) Zbl 1506.65106 Appl. Numer. Math. 182, 117-147 (2022). MSC: 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chertock, A.; Degond, P.; Dimarco, G.; Lukáčová-Medvid’ová, M.; Ruhi, A. On a hybrid continuum-kinetic model for complex fluids. (English) Zbl 1498.76083 SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 63, 28 p. (2022). MSC: 76P05 76A05 76E99 76M50 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matharu, Pritpal; Protas, Bartosz; Yoneda, Tsuyoshi On maximum enstrophy dissipation in 2D Navier-Stokes flows in the limit of vanishing viscosity. (English) Zbl 1521.76093 Physica D 441, Article ID 133517, 9 p. (2022). MSC: 76D05 76D55 76M99 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Shinhoo; Constantinescu, Emil M. Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods. (English) Zbl 1497.65176 J. Sci. Comput. 93, No. 1, Paper No. 23, 31 p. (2022). MSC: 65M60 65M70 65N30 65N35 65L06 65L04 35R25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aboelenen, Tarek Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems. (English) Zbl 1524.65499 Comput. Appl. Math. 41, No. 6, Paper No. 256, 27 p. (2022). MSC: 65M60 35R11 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
De Luna, Manuel Quezada; Ketcheson, David I. Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198 J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76R50 76M12 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link