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  • 1
    Electronic Resource
    Electronic Resource
    Anomalous thresholds and edge singularities in electrical impedance tomography (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 4388-4417 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Studies of models of current flow behaviour in electrical impedance tomography (EIT) have shown that the current density distribution varies extremely rapidly near the edge of the electrodes used in the technique. This behaviour imposes severe restrictions on the numerical techniques used in image reconstruction algorithms. In this paper we have considered a simple two dimensional case and we have shown how the theory of end point/pinch singularities which was developed for studying the anomalous thresholds encountered in elementary particle physics can be used to give a complete description of the analytic structure of the current density near to the edge of the electrodes. As a byproduct of this study it was possible to give a complete description of the Riemann sheet manifold of the eigenfunctions of the logarithmic kernel. These methods can be readily extended to other weakly singular kernels. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531637
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Bounds to the differential cross-section for the processes p¯p→π+ − (1976)
    Springer
    Czechoslovak journal of physics 26 (1976), S. 425-429 
    Details
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using ππ scattering data, the integrated cross-section for p¯p→π+π−, and unitarity, we derive upper bounds to the differential cross-section for p¯p→π+ π−. Comparison with experimental data shows that in general the bounds are several times larger than the measured value, but that at certain points this factor is only about two or three.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01587261
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The calculation of Green's functions in three dimensional hydrodynamic gravity wave problems (1985)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 5 (1985), S. 891-909 
    Details
    ISSN: 0271-2091
    Keywords: Green's Functions ; Boundary Element Method ; Waves ; Special Functions ; Series ; Convergence ; Acceleration ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We have studied the problem of calculating Green's functions in three dimensional hydrodynamic gravity wave problems. A number of new expressions for these functions are presented for both finite and infinite depths. Various techniques for accelerating the convergence of some infinite series in these expressions are investigated and compared with the normal methods of evaluation. A significant improvement in the efficiency of the calculation is found using the results described in this paper.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650051004
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    Paper (German National Licenses)
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