A MONTE CARLO METHODOLOGY FOR THE SOLUTION OF MAXWELL'S EQUATIONS
APPLICATIONS TO ELECTROMAGNETIC ANALYSIS OF IC-INTERCONNECT STRUCTURES
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This monograph represents the first meaningfulattempt to obtain a Monte Carlo solution of Maxwell'sequations at sub- and multiple- wavelength lengthscales. The application area of interest is in theelectromagnetic analysis of IC-interconnectstructures at multi-GHz frequencies. Themethodologies developed in this monograph have laidthe foundation for the development of a new MonteCarlo methodology for the solution of nonlinearpartial differential equations and for the solutionof Neumann and mixed boundary condition problemswithout 'reflections' at domain boundaries. Thetarget audience of this mo...
This monograph represents the first meaningful
attempt to obtain a Monte Carlo solution of Maxwell's
equations at sub- and multiple- wavelength length
scales. The application area of interest is in the
electromagnetic analysis of IC-interconnect
structures at multi-GHz frequencies. The
methodologies developed in this monograph have laid
the foundation for the development of a new Monte
Carlo methodology for the solution of nonlinear
partial differential equations and for the solution
of Neumann and mixed boundary condition problems
without 'reflections' at domain boundaries. The
target audience of this monograph is engineers,
physicists and computational scientists from all
disciplines. In general, the Monte Carlo method is
less developed compared to other deterministic
numerical methods. The author believes that
significant progress has been made in applying the
Monte Carlo method to problems, where it has not been
applied in the past. It is his hope that this
monograph, along with its spin-off research will
excite interest in the application of the Monte Carlo
method to wave problems, to nonlinear problems and to
problems with Neumann and mixed boundary conditions.
attempt to obtain a Monte Carlo solution of Maxwell's
equations at sub- and multiple- wavelength length
scales. The application area of interest is in the
electromagnetic analysis of IC-interconnect
structures at multi-GHz frequencies. The
methodologies developed in this monograph have laid
the foundation for the development of a new Monte
Carlo methodology for the solution of nonlinear
partial differential equations and for the solution
of Neumann and mixed boundary condition problems
without 'reflections' at domain boundaries. The
target audience of this monograph is engineers,
physicists and computational scientists from all
disciplines. In general, the Monte Carlo method is
less developed compared to other deterministic
numerical methods. The author believes that
significant progress has been made in applying the
Monte Carlo method to problems, where it has not been
applied in the past. It is his hope that this
monograph, along with its spin-off research will
excite interest in the application of the Monte Carlo
method to wave problems, to nonlinear problems and to
problems with Neumann and mixed boundary conditions.
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