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1. Asymptotic Analysis of IMEX-RK Methods for ES-BGK Model at Navier-Stokes level
   2024/11/14 by Boscarino, Sebastiano, Cho, Seung Yeon · 1 citation
   #35Q20 #35Q30 #35Q31 #65L04 #65L06 #FOS: Mathematics #Numerical Analysis (math.NA)
2. A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation
   2024/11/11 by Baumann, Lena, Einkemmer, Lukas, Klingenberg, Christian +1 · 1 citation
   #35Q20 #65L04 #65M12 #65M22 #FOS: Mathematics #Numerical Analysis (math.NA)
3. Randomized methods for dynamical low-rank approximation
   2024/10/22 by Carrel, Benjamin · 1 citation
   #65F55 #65L04 #65L05 #65L80 #65M22 #68W20 #FOS: Mathematics #Numerical Analysis (math.NA)
4. Should exponential integrators be used for advection-dominated problems?
   2024/10/16 by Lukas Einkemmer, Einkemmer, Lukas, T. T. H. Hoang +3 · 1 citation
   Mathematics · #65L04 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
5. Exponential Runge-Kutta methods for delay equations in the sun-star abstract framework
   2024/10/01 by Ando', Alessia, Vermiglio, Rossana · 2 citations
   #34K05 #45D05 #47D03 #65L03 #65L04 #65L06 #65R20 #FOS: Mathematics #Numerical Analysis (math.NA)
6. High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
   2024/06/27 by Sands, William A., Guo, Wei, Qiu, Jing-Mei +1 · 6 citations
   #35Q85 #65F55 #65L04 #65M06 #65M50 #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
7. Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
   2024/01/03 by de Souza, Giacomo Rosilho, Grote, Marcus J., Pezzuto, Simone +1 · 1 citation
   #65L04 #65L06 #65L10 #65L20 #FOS: Mathematics #Numerical Analysis (math.NA)
8. Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations
   2023/05/19 by Sutti, Marco, Vandereycken, Bart · 1 citation
   #58C05 #65F08 #65F45 #65F55 #65K10 #65L04 #65N22 #FOS: Mathematics #Numerical Analysis (math.NA)
9. Adaptive rational Krylov methods for exponential Runge--Kutta integrators
   2023/03/16 by Bergermann, Kai, Stoll, Martin · 1 citation
   #05C50 #15A16 #65F60 #65L04 #FOS: Mathematics #Numerical Analysis (math.NA)
10. Jacobian-free implicit MDRK methods for stiff systems of ODEs
    2023/02/06 by Chouchoulis, Jeremy, Schütz, Jochen · 1 citation
    #65F35 #65L04 #65L05 #65L06 #65L12 #65L20 #FOS: Mathematics #Numerical Analysis (math.NA)
11. Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs
    2022/04/19 by Baker, Justin, Xia, Hedi, Wang, Yiwei +7 · 2 citations
    #65L04 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #I.2 #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
12. Quinpi: integrating conservation laws with CWENO implicit methods
    2021/02/01 by G. Puppo, Puppo, G., M. Semplice +3 · 4 citations
    Earth and Planetary Sciences · Engineering · #35L65 #65L04 #65M08 #65M20 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA)
13. Efficient exponential Runge--Kutta methods of high order: construction and implementation
    2020/09/27 by Luan, Vu Thai · 1 citation
    #65L04 #65M06 #65N12 #FOS: Mathematics #Numerical Analysis (math.NA)
14. Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement
    2020/06/12 by Peng, Zhichao, Li, Fengyan · 2 citations
    #65L04 #65M12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
15. Explicit stabilized multirate method for stiff differential equations
    2020/06/01 by Assyr Abdulle, Abdulle, Assyr, Marcus J. Grote +3 · 1 citation
    Engineering · Mathematics · #65L04 #65L06 #65L20 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
16. Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property
    2020/05/11 by Peng, Zhichao, Cheng, Yingda, Qiu, Jing-Mei +1 · 1 citation
    #65L04 #65M12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
17. Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method
    2020/03/06 by Abdulle, Assyr, de Souza, Giacomo Rosilho · 1 citation
    #65L04 #65L06 #65L07 #65L20 #65L70 #FOS: Mathematics #Numerical Analysis (math.NA)
18. Strang splitting method for semilinear parabolic problems with inhomogeneous boundary conditions: a correction based on the flow of the nonlinearity
    2019/04/18 by Bertoli, Guillaume, Vilmart, Gilles · 1 citation
    #65L04 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA)
19. Optimal Residuals and the Dahlquist Test Problem
    2018/05/28 by Corless, Robert M., Kaya, C. Yalcin, Moir, Robert H. C. · 2 citations
    #65L04 #65L05 #65L20 #FOS: Mathematics #Numerical Analysis (math.NA)
20. Convergence of a low-rank Lie--Trotter splitting for stiff matrix differential equations
    2018/03/28 by Ostermann, Alexander, Piazzola, Chiara, Walach, Hanna · 1 citation
    #49J20 #65F30 #65L04 #65L20 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA)