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• W1972505528 abstract "A Jacobian-free variable-stepsize method is developed for the numerical integration of the large, stiff systems of differential equations encountered when simulating transport in heterogeneous porous media. Our method utilises the exponential Rosenbrock–Euler method, which is explicit in nature and requires a matrix–vector product involving the exponential of the Jacobian matrix at each step of the integration process. These products can be approximated using Krylov subspace methods, which permit a large integration stepsize to be utilised without having to precondition the iterations. This means that our method is truly “Jacobian-free” – the Jacobian need never be formed or factored during the simulation. We assess the performance of the new algorithm for simulating the drying of softwood. Numerical experiments conducted for both low and high temperature drying demonstrates that the new approach outperforms (in terms of accuracy and efficiency) existing simulation codes that utilise the backward Euler method via a preconditioned Newton–Krylov strategy." @default.
• W1972505528 created "2016-06-24" @default.
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• W1972505528 date "2013-01-01" @default.
• W1972505528 modified "2023-10-18" @default.
• W1972505528 title "A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying" @default.
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• W1972505528 doi "https://doi.org/10.1016/j.jcp.2012.07.024" @default.
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