Exact(4)
A simple and systematic criterion is given to define what is the outgoing solution.
We develop several numerical methods for examining the frequency dependence of both the outgoing solution and the FDRK.
We formulate a new family of high order on-surface radiation conditions to approximate the outgoing solution to the Helmholtz equation in exterior domains.
The TDRK is the inverse Laplace transform of a frequency-domain radiation kernel (FDRK) which is essentially the logarithmic derivative of the asymptotically outgoing solution to the radial ODE.
Similar(56)
The resonant states, that is the outgoing solutions to ( ( P - lambda ^2 ) u ), are restrictions to ( {mathbb {R}}) of functions which continue holomorphically to fuctions with ( L^2 ) restrictions to ( Gamma ).
For this problem a family of efficient artificial boundary conditions is obtained using geometrical optics in the Laplace transform domain for generating outgoing solutions, together with a stability criterion based on energy integrals to insure that the resulting artificial boundaries are dissipative.
The outgoing features of the solution allow integrating the physical behavior into the control of automation components and consequently thereby incorporate it in the modular service-oriented control architecture.
We describe completely the operator which associate the value of this null solution on the outgoing manifold to the initial data on the incoming one.
The win-win solution included granting outgoing President Ali Abdullah Saleh a dignified exit, immunity from persecution (along with his entire family) and the right to live and work in Yemen, with all the honors of a former president.
Lech Walesa, a former president and a founder of Solidarity, said he was "ready to mediate a decent solution" if Ukraine's outgoing president, Leonid Kuchma, asked him.
The Department of Immigration confirmed that any asylum seekers arriving by boat would still be subject to the outgoing government's so-called "PNG solution", meaning they would be resettled offshore.
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