Article

# The accurate numerical inversion of laplace transforms

01/1979; DOI: 10.1093/imamat/23.1.97

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**ABSTRACT:**The rectangular power-ground structure is thoroughly analyzed in time domain. The time-dependent electric-field distribution within the power-ground structure is expanded in ray-like constituents that propagate via the reflections against circuitβs periphery. Their relation to the classical eigenfunction expansion is demonstrated. It is shown that the ray-type expansion is always exact in any finite time window of observation and can be readily generalized to account for dissipation and relaxation mechanisms. Obtained results concerning a dispersive dielectric described through finite conductivity and Debije relaxation models are discussed and validated on a number of illustrative examples.IEEE Transactions on Electromagnetic Compatibility 10/2014; 56(5):1095-1102. · 1.35 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A review has been made for the previous studies on safety of a geologic repository for high-level radioactive wastes (HLW) related to autocatalytic criticality phenomena with positive reactivity feedback. Neutronic studies on geometric and materials configuration consisting of rock, water and thermally fissile materials and the radionuclide migration and accumulation studies were performed previously for the Yucca Mountain Repository and a hypothetical water-saturated repository for vitrified HLW. In either case, it was concluded that it would be highly unlikely for an autocatalytic criticality event to happen at a geologic repository. Remaining scenarios can be avoided by careful selection of a repository site, engineered-barrier design and conditioning of solidified HLW. Thus, criticality safety should be properly addressed in regulations and site selection criteria. The models developed for radiological safety assessment to obtain conservatively overestimated exposure dose rates to the public may not be used directly for the criticality safety assessment, where accumulated fissile materials mass needs to be conservatively overestimated. The models for criticality safety also require more careful treatment of geometry and heterogeneity in transport paths because a minimum critical mass is sensitive to geometry of fissile materials accumulation.Nuclear Engineering and Technology 01/2006; 38(6). · 0.76 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**New methods are proposed for the numerical evaluation of f(π) or f(π)b, where f(π) is a function such as π 1/2 or log(π) with singularities in (-β,0] and π is a matrix with eigenvalues on or near (0,β). The methods are based on combining contour integrals evaluated by the periodic trapezoid rule with conformal maps involving Jacobi elliptic functions. The convergence is geometric, so that the computation of f(π)b is typically reduced to one or two dozen linear system solves, which can be carried out in parallel.SIAM Journal on Numerical Analysis 01/2008; 46(5). · 1.69 Impact Factor

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