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Traveltime solution for the two dimensional Eikonal equation in an arbitrarily complex slowness field via first or second order conservative upwind difference formulations
The determination of first-arrival seismic traveltimes radiating outward from a point-source in an arbitrary slowness field plays an important role in methods which require knowledge of curved wavefronts in a complex domain. ...
Cartesian analysis in natural science as exposed through an investigation of his method in mathematics
Aspects of Descartes' notion of analysis in his mathematics are looked at in detail with a view to relating this notion to Descartes' work in natural science. Descartes' method in his mathematics and science are subsumed ...
The Dikin-Karmarkar principle for steepest descent
Steepest feasible descent methods for inequality constrained optimization problems have commonly been plagued by short steps. The consequence of taking short steps is slow convergence or even convergence to non-stationary ...
Determination of linear system random response spectral moments by Hilbert transforms
The stationary response of a linear system excited by a stationary random process is considered. A previously developed approach is extended to determine both the even and odd integer order spectral moments of the system ...