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Exact(8)
The unconditional energy stabilities are further proved.
We provide detailed proof of the unconditional energy stability and present issues on the practical implementations.
As a result, unique solvability and unconditional energy stability are available for the resulting scheme.
The unconditional energy stability has been proved for this fully-discrete LDG scheme.
The unconditional energy stability of this fully-discrete convex splitting scheme is also proved.
The new scheme exhibits unconditional energy dissipation and momentum conservation (and thus the given name of energy-dissipative, momentum-conserving second-order scheme (EDMC-2)), leading also to the conservation of the relative equilibria of the underlying physical system.
Among numerical methods for partial differential equations arising from steepest descent dynamics of energy functionals (e.g., Allen Cahn and Cahn Hilliard equations), the convex splitting method is well-known to maintain unconditional energy stability for a large time step size.
Similar(4)
The other group of QDs (called vacuum molecules) features a similar composition, but molecules of this group have been synthesized computationally using an unconditional total energy minimization procedure where no constraints were applied to the atomic coordinates.
Within this class of methods, two second-order algorithms are designed under the requirement of attaining non-linear unconditional stability: the energy preserving (EP) and energy decaying (ED) methods.
My mother, Ruth Campbell, who has died aged 87, lived life at full pelt, her hard work, energy and unconditional love putting her at the heart of our family.
Let the quiet, peaceful energy of unconditional love pour through you.
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