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  • 1990-1994  (7)
  • 1
    Electronic Resource
    Electronic Resource
    GRAVITY GRADIENT TENSORS DUE TO A POLYHEDRON WITH POLYGONAL FACETS1 (1991)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical prospecting 39 (1991), S. 0 
    Details
    ISSN: 1365-2478
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences , Physics
    Notes: Using the conjugate complex variables formulation, closed-form formulae for the gravity gradient tensors of the gravitational potential due to a homogeneous polyhedral body composed of polygonal facets are derived. The treatise considers the cases of the observation point being inside the polyhedron, on the surface of a facet, or outside the polyhedron.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-2478.1991.tb00320.x
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Singularities In Gravity Computation For Vertical Cylinders and Prisms (1991)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 104 (1991), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: An efficient formulation using conjugate complex variables is presented to compute the vertical gravity and its higher order derivatives for vertical cylindrical and prismatic bodies with uniform density at all points in space. the volume integrations over the bodies are reduced to line integrals around the bounding cross-sectional curves of the bodies. Residue theory and theory of singularities are used to treat the singularities in the integral formulae for computing gravity effects due to the bodies. the paper includes the considerations of the field point being inside, on the boundary or outside the bodies. Sample calculations are performed to obtain vertical gravity and its various gradient tensor elements for a vertical elliptic cylinder and a polygonal prism. the studies will be useful to simulate the gravity field effects due to mass disturbances caused by drilling and casing of a well bore in borehole gravimetry and gradiometry, and the quantitative interpretation of gravity anomalies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1991.tb02490.x
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  • 3
    Electronic Resource
    Electronic Resource
    Frequency domain expressions for surface and borehole gravity potential due to two- and three-dimensional mass models (1992)
    Springer
    Pure and applied geophysics 139 (1992), S. 241-253 
    Details
    ISSN: 1420-9136
    Keywords: Fourier transform ; surface and borehole gravity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Frequency domain expressions for surface and borehole gravity potential due to selected two- and three-dimensional mass models with linear variation of density are derived using conjugate complex variables formulation. The mass models include elliptical bodies, vertical and horizontal polygonal prisms, polyhedral bodies and bodies with rotational symmetry. Such analytic expressions are essential for development of interpretative theory for surface and borehole gravity data in the Fourier domain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00876329
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  • 4
    Electronic Resource
    Electronic Resource
    Stability analysis of three-level difference schemes for initial-boundary problems for multidimensional convective-diffusion equations (1993)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 9 (1993), S. 595-605 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A systematic procedure is presented to derive stability conditions for leap-frog-type finite-difference schemes for the multidimensional constant-coefficient convective-diffusion equation. The treatise includes von Neumann stability analysis for pure initial-value problems and matrix stability analysis for Dirichlet boundary-value problems. Discrepancies on time-step restriction between von Neumann stability analysis and matrix stability analysis are observed.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640090707
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  • 5
    Electronic Resource
    Electronic Resource
    Linearized stability analysis of staggered-grid difference schemes for multidimensional viscous incompressible flows (1993)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 9 (1993), S. 313-322 
    Details
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics ; Numerical Methods
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: This paper presents a systematic linearized (frozen coefficient) von Neumann stability analysis for various staggered-grid marker-and-cell (MAC) finite difference schemes for solving viscous incompressible fluid flows. These schemes employ the primitive variables formulation and require the velocity field to be divergent free at every time step. It is illustrated that the stability results for staggered-grid MAC schemes are similar to that for the multidimensional convective-diffusion equation with constant coefficients. © 1993 John Wiley & Sons, Inc.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/num.1690090308
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  • 6
    Electronic Resource
    Electronic Resource
    Padé and upwinding finite difference schemes for the quantum mechanical equation of motion (1991)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 7 (1991), S. 639-647 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A systematic approach is presented to search for a two-level six-point finite difference of Padé type for the numerical solution of the quantum mechanical equation of motion. A family of second order accurate Pade schemes is obtained and the stability properties are analysed by the von Neumann and matrix methods. Also, a similar stability analysis is also performed for a family of two-level first order accurate upwinding difference schemes by the von Neumann and matrix methods. Discrepancies between the stability results obtained by the von Neumann and matrix methods are observed.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630070811
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  • 7
    Electronic Resource
    Electronic Resource
    Location and structure of the nearest singularity of a perturbation series (1991)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 7 (1991), S. 19-28 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The incompressible potential flow over a perturbed body is used as a model to shed light into the nature of the nearest singularity of a perturbation series. The solutions for various physical quantities are developed as a formal perturbation expansion in powers of a parameter up to 30 terms. The tedious computation is relegated to a computer. The calculations reveal that the location and structure of the nearest singularity of a pertubation series do change with the field point at the which the series is evaluated. Also the radius of convergence and behaviour of the perturbation series do depend significantly on the choice of the physical quantities. These results may provide salutary information for the analysis of computer extended pertubation series.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630070104
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