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Factorization, path integral representations, and the construction of direct and inverse wave propagation theories

IEEE Transactions on Geoscience and Remote Sensing, 1984
The development of both direct and inverse wave propagation theories at the level of the reduced scalar Helmholtz equation is addressed. The principal constructive tool is the factorization analysis of the Helmholtz equation which derives from the physically suggestive picture of decoupled forward and backward wave propagation appropriate for ...
Louis Fishman, John J. Mccoy
openaire   +1 more source

New HSS-factorization and inversion algorithms with exact arithmetic for efficient direct solution of large-scale volume integral equations

2016 IEEE International Symposium on Antennas and Propagation (APSURSI), 2016
A new HSS (Hierarchically Semiseparable) direct matrix solution algorithm, including both factorization and inversion, is developed for solving the volume integral equation (VIE) for large-scale electrodynamic analysis. This direct solution algorithm is exact in the sense that the matrix factorization, inversion, and solution do not involve any ...
Miaomiao Ma, Dan Jiao
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A quality factor inversion method of Markov chain Monte Carlo integrating well-log and seismic data

Geophysics
ABSTRACT The Q-value quantitatively characterized the extent of seismic wave absorption in rocks, aided in the compensation of seismic data, and supported the detection of oil and gas properties. Conventional Q-value extraction methods are typically suitable for vertical seismic profiling (VSP).
Bo Li   +4 more
openaire   +1 more source

Phase Space Factorization and Functional Integral Methods in Direct and Inverse Scattering — Symbol Analysis

1989
The analysis and fast, accurate numerical computation of the wave equations of classical physics are often quite difficult for rapidly changing, multidimensional environments extending over many wavelengths. This is particularly so for environments characterized by a refractive index field with a compact region of arbitrary (n-dimensional) variability ...
openaire   +1 more source

New PI-PD Controller Design Strategy for Industrial Unstable and Integrating Processes with Dead Time and Inverse Response

Journal of Control, Automation and Electrical Systems, 2021
Lloyds Raja, Ahmad Ali
exaly  

Non-formally integrable centers admitting an algebraic inverse integrating factor

Discrete and Continuous Dynamical Systems, 2018
Antonio Algaba   +2 more
exaly  

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