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The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with prob- lems involving anisotro...
The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with prob- lems involving anisotro...
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo- nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into the theoretical un...
An adaptive perfectly matched layer (PML) technique for solv- ing the time harmonic electromagnetic scattering problems is developed. The PML parameters such as the thickness of the layer and the fi...
We develop an adaptive edge 痭ite element method based on reliable and e眂ient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with singularities. The r...
In this paper, we develop a coupling of natural boundary element method and 痭ite element method for solving the time-dependent eddy current problems in unbounded domains based on a H∶ formulation. T...
We define a new transfinite time model of computation, infinite time cellular automata. The model is shown to be as powerful than infinite time Turing machines, both on finite and infinite inputs; thu...
Kabanets and Impagliazzo [9] show how to decide the circuit polynomial identity testing problem (CPIT) in deterministic subexponential time, assuming hardness of some explicit multilinear polynomial f...
Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator popul...

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