Bonelli, Francesco; Ninni, Davide; Pietanza, Lucia Daniela; Colonna, Gianpiero; Helber, Bernd; Magin, Thierry E.; Pascazio, Giuseppe Effects of thermochemical non-equilibrium in the boundary layer of an ablative thermal protection system: a state-to-state approach. (English) Zbl 07833615 Comput. Fluids 270, Article ID 106161, 12 p. (2024). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Utkarsh, Utkarsh; Churavy, Valentin; Ma, Yingbo; Besard, Tim; Srisuma, Prakitr; Gymnich, Tim; Gerlach, Adam R.; Edelman, Alan; Barbastathis, George; Braatz, Richard D.; Rackauckas, Christopher Automated translation and accelerated solving of differential equations on multiple GPU platforms. (English) Zbl 1539.65077 Comput. Methods Appl. Mech. Eng. 419, Article ID 116591, 28 p. (2024). MSC: 65L05 65L06 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steinebach, Gerd Construction of Rosenbrock-Wanner method Rodas5P and numerical benchmarks within the Julia differential equations package. (English) Zbl 1512.65001 BIT 63, No. 2, Paper No. 27, 26 p. (2023). MSC: 65-04 65L04 65L80 × Cite Format Result Cite Review PDF Full Text: DOI OA License
De Florio, Mario; Schiassi, Enrico; Furfaro, Roberto Physics-informed neural networks and functional interpolation for stiff chemical kinetics. (English) Zbl 1542.68178 Chaos 32, No. 6, Article ID 063107, 16 p. (2022). MSC: 68T07 65L05 34A34 80A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Suyong; Ji, Weiqi; Deng, Sili; Ma, Yingbo; Rackauckas, Christopher Stiff neural ordinary differential equations. (English) Zbl 07866715 Chaos 31, No. 9, Article ID 093122, 10 p. (2021). MSC: 37M10 68T07 92B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izzo, Giuseppe; Jackiewicz, Zdzislaw Generalized linear multistep methods for ordinary differential equations. (English) Zbl 1357.65097 Appl. Numer. Math. 114, 165-178 (2017). MSC: 65L06 65L05 34A34 65L20 65L04 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Molina, Pedro; Gavete, Luis; Gavete, M. Lucía; Ureña, Francisco; Benito, Juan José A finite volume-finite difference method with a stiff ordinary differential equation solver for advection-diffusion-reaction equation. (English) Zbl 1328.65181 Int. J. Comput. Math. 92, No. 9, 1946-1955 (2015). MSC: 65M06 65M08 35K57 92D40 86A10 × Cite Format Result Cite Review PDF Full Text: DOI
Lipanov, A. M.; Bolkisev, A. A. Solving chemical kinetics equations by explicit methods. (Russian, English) Zbl 1340.92021 Sib. Zh. Ind. Mat. 17, No. 2, 74-86 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 337-348 (2014). MSC: 92C45 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Faleichik, Boris; Bondar, Ivan; Byl, Vasily Generalized Picard iterations: a class of iterated Runge-Kutta methods for stiff problems. (English) Zbl 1301.65059 J. Comput. Appl. Math. 262, 37-50 (2014). MSC: 65L04 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Gavete, Luis; García Vivanco, Marta; Molina, Pedro; Gavete, M. Lucía; Ureña, Francisco; Benito, Juan José Implementation in CHIMERE of a conservative solver for the advection equation-cmmse10. (English) Zbl 1236.92063 J. Comput. Appl. Math. 236, No. 12, 3026-3033 (2012). MSC: 92D40 92E99 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xin-Long A second-order pseudo-transient method for steady-state problems. (English) Zbl 1197.65050 Appl. Math. Comput. 216, No. 6, 1752-1762 (2010). Reviewer: Jiří Vaníček (Praha) MSC: 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Shulyk, V. N.; Klymenko, O. V.; Svir, I. B. Numerical solution of stiff ODEs describing complex homogeneous chemical processes. (English) Zbl 1153.65345 J. Math. Chem. 43, No. 1, 252-264 (2008). MSC: 65L05 92E20 92C45 × Cite Format Result Cite Review PDF Full Text: DOI
Sportisse, Bruno A review of current issues in air pollution modeling and simulation. (English) Zbl 1118.92065 Comput. Geosci. 11, No. 2, 159-181 (2007). MSC: 92D40 93A30 × Cite Format Result Cite Review PDF Full Text: DOI
Burchard, Hans; Deleersnijder, Eric; Meister, Andreas A high-order conservative Patankar-type discretisation for stiff systems of production–destruction equations. (English) Zbl 1028.80008 Appl. Numer. Math. 47, No. 1, 1-30 (2003). MSC: 80A32 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Seong-Lyong; Choi, Jeong-Yeol; Jeung, In-Seuck; Park, Yang-Ho Application of approximate chemical Jacobians for constant volume reaction and shock-induced combustion. (English) Zbl 1044.76039 Appl. Numer. Math. 39, No. 1, 87-104 (2001). MSC: 76M12 76V05 80A25 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, I.; Berzins, M. MOL solvers for hyperbolic PDEs with source terms. (English) Zbl 0986.65084 Math. Comput. Simul. 56, No. 2, 115-125 (2001). Reviewer: Song Jiang (Beijing) MSC: 65M20 35L65 65M15 65H10 65M06 35Q35 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Knio, Omar M.; Najm, Habib N.; Wyckoff, Peter S. A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation. (English) Zbl 0958.76061 J. Comput. Phys. 154, No. 2, 428-467 (1999). MSC: 76M20 76M22 76V05 92E20 80A32 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Knoth, Oswald; Wolke, Ralf Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows. (English) Zbl 0934.76058 Appl. Numer. Math. 28, No. 2-4, 327-341 (1998). MSC: 76M20 76V05 65L06 86-08 86A10 × Cite Format Result Cite Review PDF Full Text: DOI
Horváth, Zoltán Positivity of Runge-Kutta and diagonally split Runge-Kutta methods. (English) Zbl 0926.65073 Appl. Numer. Math. 28, No. 2-4, 309-326 (1998). Reviewer: Iulian Coroian (Baia Mare) MSC: 65L06 34A34 65L05 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Najm, Habib N.; Wyckoff, Peter S.; Knio, Omar M. A semi-implicit numerical scheme for reacting flow. I: Stiff chemistry. (English) Zbl 0936.76064 J. Comput. Phys. 143, No. 2, 381-402 (1998). MSC: 76M25 76V05 92E20 80A25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.; De Meyer, H. A variable-step variable-order algorithm for systems of stiff ODEs. (English) Zbl 0871.65076 Int. J. Comput. Math. 63, No. 1-2, 149-157 (1997). Reviewer: E.Schechter (Kaiserslautern) MSC: 65L06 65L05 34A34 34E13 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, I.; Berzins, M. An algorithm for ODEs from atmospheric dispersion problems. (English) Zbl 0889.65085 Appl. Numer. Math. 25, No. 2-3, 137-149 (1997). Reviewer: O.Titow (Berlin) MSC: 65L06 34A34 65L05 86A10 × Cite Format Result Cite Review PDF Full Text: DOI
Aro, Colin J. A stiff ODE preconditioner based on Newton linearization. (English) Zbl 0871.65067 Appl. Numer. Math. 21, No. 4, 335-352 (1996). Reviewer: A.Dishliev (Sofia) MSC: 65L05 65L06 34E13 92E20 34A34 80A32 × Cite Format Result Cite Review PDF Full Text: DOI
Verwer, J. G.; Blom, J. G.; Hundsdorfer, W. An implicit-explicit approach for atmospheric transport-chemistry problems. (English) Zbl 0853.76092 Appl. Numer. Math. 20, No. 1-2, 191-209 (1996). MSC: 76V05 76R50 76M20 86A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aro, Colin J. CHEMSODE: A stiff ODE solver for the equations of chemical kinetics. (English) Zbl 0926.65072 Comput. Phys. Commun. 97, No. 3, 304-314 (1996). MSC: 65L05 34A34 92E20 80A30 80A32 86A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Verwer, J. G.; Simpson, D. Explicit methods for stiff ODEs from atmospheric chemistry. (English) Zbl 0839.65078 Appl. Numer. Math. 18, No. 1-3, 413-430 (1995). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 65L20 92E20 34A34 65L06 34E13 × Cite Format Result Cite Review PDF Full Text: DOI Link
Knoth, Oswald; Wolke, Ralf Numerical methods for the solution of large kinetic systems. (English) Zbl 0839.65077 Appl. Numer. Math. 18, No. 1-3, 211-221 (1995). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 34A34 92E20 34E13 × Cite Format Result Cite Review PDF Full Text: DOI