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Showing 1 to 4 of 4 for “"jacobian free newton krylov"”.
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Innovative Methods for Solving Multicomponent Biogeochemical Groundwater Transport on Supercomputers
To evaluate the performance of the Jacobian-Free Newton-Krylov method, PARTRAN was used to simulate enhanced in situ bioremediation of subsurface NAPL (non-aqueous phase liquid) contamination on the ASCI Q supercomputer at Los Alamos National Laboratory, on which a study of parallel …
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Robust computational methods to simulate slow-fast dynamical systems governed by predator-prey models
… for their superlinear convergence, such as the Jacobian-Free Newton-Krylov (JFNK) and the Anderson’s Acceleration (AA) fixed point methods.
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Discontinuous Galerkin solutions of the Boltzmann equation: spectral collocation and moment methods
… in order to mitigate stiffness concerns. A Jacobian-Free Newton—Krylov method is presented, accelerated with a sweeping preconditioner. The method is tested on 1D and 2D problems in order to validate its convergence behavior and investigate its efficiency. The second method uses DG for …
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A fast and efficient solver for viscous-plastic sea ice dynamics
… advances in solving these equations with a Jacobian-Free Newton- Krylov (JFNK) solver. We present an improved JFNK solver, where a fully second order discretization is achieved via the Crank Nicolson scheme and consistency is improved via a novel approach to the rheology term. More …