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Showing 1 to 2 of 2 for “"IMEX method"”.
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Implementation of an implicit-explicit scheme for hybridizable discontinuous Galerkin
Finite element methods, specifically Hybridizable Discontinuous Galerkin (HDG), are used in many applications. One choice made when implementing HDG for a specific problem is whether time integration should be performed implicitly or explicitly. Both approaches have their advantages but, for some …
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Eternal Solutions and Heteroclinic Orbits of a Semilinear Parabolic Equation
This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness of …