GPU acceleration of splitting schemes applied to differential matrix equations
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DOI: 10.1007/s11075-019-00687-w
Abstract: We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equations arise in many different areas and are especially important within the field of optimal control. In order to approximate their solution, one… read more here.
Keywords: differential matrix; acceleration splitting; splitting schemes; schemes applied ... See more keywords
Splitting schemes for phase-field models
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DOI: 10.1016/j.apnum.2020.04.017
Abstract: Abstract In this paper, we consider several splitting schemes for unsteady problems for the most common phase-field models. The fully implicit discretization of such problems would yield at each time step a nonlinear problem that… read more here.
Keywords: order; field models; splitting schemes; phase field ... See more keywords
Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation
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DOI: 10.1063/1.5126651
Abstract: In this paper, we have analyzed the first- and second-order operator splitting schemes for the numerical solution of the Allen-Cahn equation. Different possibilities are considered for the derivation of the schemes. The numerical errors are… read more here.
Keywords: splitting schemes; numerical solution; solution allen; allen cahn ... See more keywords