Publication: High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models
High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models
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Abgrall, R., & Torlo, D. (2020). High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. SIAM Journal on Scientific Computing, 42(3), B816–B845. https://doi.org/10.1137/19m128973x
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This work introduces an extension of the residual distribution (RD) framework to stiff relaxation problems. The RD is a class of schemes which is used to solve a hyperbolic system of partial differential equations. To our knowledge, it has been used only for systems with mild source terms, such as gravitation problems or shallow water equations. What we propose is an implicit-explicit (IMEX) version of the RD schemes that can resolve stiff source terms, without refining the discretization up to the stiffness scale. This can be particu
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- Torlo, Davide
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Abgrall, R., & Torlo, D. (2020). High order asymptotic preserving deferred correction implicit-explicit schemes for kinetic models. SIAM Journal on Scientific Computing, 42(3), B816–B845. https://doi.org/10.1137/19m128973x
