Path-summation waveforms
نویسندگان
چکیده
منابع مشابه
Euler Summation Formula for Path Integrals
We present and comment on some details of a new analytical method for systematic improvement of the convergence of path integrals of a generic N -fold discretized theory. The new methods represents a Euler summation formula for path integrals. Keeping the first p terms in this formula improves convergence of path integrals to the continuum limit to 1/N. We have given explicit calculations up to...
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The Green's function for a random walker on a lattice that starts at time t 0 =0 at state i and reaches at time t state j, , can be found by various approaches. For spatially invariant systems, a recursion relation finds the Green's function in Laplace-Fourier domains in terms of the basic input probability density functions (PDFs) [1]. For arbitrarily inhomogeneous bounded systems in discrete ...
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متن کاملSe p 20 05 Generalization of Euler ’ s summation formula to path
A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path integrals. The first p terms in this formula improve convergence of path integrals to the continuum limit from 1/N to 1/N p , where N is the coarseness of the discretization. Monte Carlo simulations performed on several d...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1999
ISSN: 0956-540X,1365-246X
DOI: 10.1046/j.1365-246x.1999.00889.x