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  • 1990-1994  (11)
  • 1985-1989  (5)
  • 1
    Electronic Resource
    Electronic Resource
    Two mathematical models of unconfined detonation and their numerical solution (1994)
    Springer
    Circuits, systems and signal processing 13 (1994), S. 155-165 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract We consider the numerical solution of an unconfined detonation problem modelled by differential/algebraic equations in a boundary value format. The problem has index one throughout the interval of integration, except at a free boundary point, where it has index two. Moreover, a nonlinear constraint is active at the free boundary point. We consider a simple mathematical model, as well as a more realistic and functionally complex model. In both cases, the resulting boundary value problem is solved directly, using a collocation method. This approach compares favorably with the solution techniques proposed previously in the literature and enables us to examine some interesting properties of the solution to the detonation problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01188103
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Efficient fourth orderP-stable formulae (1987)
    Springer
    BIT 27 (1987), S. 599-614 
    Details
    ISSN: 1572-9125
    Keywords: MAS ; 65L05 ; Second order initial value problems ; oscillation problems ; efficientP-stable methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a family of fourth orderP-stable methods for solving second order initial value problems is considered. When applied to a nonlinear differential system, all the methods in the family give rise to a nonlinear system which may be solved using a modified Newton method. The classical methods of this type involve at least three (new) function evaluations per iteration (that is, they are 3-stage methods) and most involve using complex arithmetic in factorising their iteration matrix. We derive methods which require only two (new) function evaluations per iteration and for which the iteration matrix is a true real perfect square. This implies that real arithmetic will be used and that at most one real matrix must be factorised at each step. Also we consider various computational aspects such as local error estimation and a strategy for changing the step size.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01937279
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  • 3
    Electronic Resource
    Electronic Resource
    Efficient sixth order methods for nonlinear oscillation problems (1988)
    Springer
    BIT 28 (1988), S. 898-903 
    Details
    ISSN: 1572-9125
    Keywords: AMS 65L05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A class of two-step (hybrid) methods is considered for solving pure oscillation second order initial value problems. The nonlinear system, which results on applying methods of this type to a nonlinear differential system, may be solved using a modified Newton iteration scheme. From this class the author has derived methods which are fourth order accurate,P-stable, require only two (new) function evaluations per iteration and have a true real perfect square iteration matrix. Now, we propose an extension to sixth order,P-stable methods which require only three (new) function evaluations per iteration and for which the iteration matrix is a true realperfect cube. This implies that at most one real matrix must be factorised at each step. These methods have been implemented in a new variable step, local error controlling code.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01954909
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  • 4
    Electronic Resource
    Electronic Resource
    Cooling of tephra during fallout from eruption columns (1992)
    Springer
    Bulletin of volcanology 54 (1992), S. 542-553 
    Details
    ISSN: 1432-0819
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Models are presented for the cooling of tephra during fallout from explosive eruption columns. All tephra particles are assumed to be spherical and heat loss is considered to occur by radiation and forced convection. Grainsize is the most important control on the cooling. Clasts larger than 25 cm diameter suffer little heat loss, whereas clasts smaller than 1.6 cm diameter are completely cold on deposition. Large clasts form a well-developed chilled margin during fallout and a breadcrust texture can result if vesiculation of the hot interior occurs. The results of these calculations are combined with a model for fallout from the margins of an eruption column to predict the proximal temperature variation with distance from the vent in the deposits. Temperatures high enough for dense welding in proximal fallout deposits can extend from a few hundred metres to nearly 2 km. Extent of the welded facies increases with column height, mean grainsize and magmatic temperature. Welded fallout deposits are only predicted to occur for high temperature silicic and intermediate magmas with temperatures 〉850°C. These predictions are in good agreement with observations, in that welded fallout deposits have only been documented in high temperature dacites, rhyolites and panellerites. A postulated fallout origin for welded rocks that can be traced significantly further than 2 km from vent must be suspect.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00569939
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  • 5
    Electronic Resource
    Electronic Resource
    Sedimentation of tephra by volcanic plumes. Part 2: controls on thickness and grain-size variations of tephra fall deposits (1992)
    Springer
    Bulletin of volcanology 54 (1992), S. 685-695 
    Details
    ISSN: 1432-0819
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract A model for sedimentation from turbulent suspensions predicts that tephra concentration decreases exponentially with time in an ascending volcanic column and in the overlying umbrella cloud. For grain-size distributions typical of plinian eruptions application of the model predicts for thickness variations in good agreement with the exponential thinning observed in tephra fall deposits. The model also predicts a proximal region where fallout from the plume margins results in a more rapid decrease in thickness so that the deposit shows two segments on a thickness versus distance plot. Several examples of deposits with two segments are known. The distance at which the two segments intersect is a measure of eruption column height. The thickness half-distance (∼ equivalent to the dispersal index of Walker) is strongly correlated with column height, but is also weakly dependent on grain-size distribution of the ejecta. For a dispersal index of 500 km2 (the plinian/subplinian boundary of Walker) column heights between 14 and 18 km are calculated. For ultraplinian deposits with D〉50000 km2 column heights of at least 45 km are implied. Model grain-size distributions of the deposits have sorting values comparable to those observed in tephra fall deposits formed from eruption columns in a weak or negligible cross-wind. Median diameter decreases exponentially with distance as is observed. Sorting (σφ) improves with distance as is observed in plinian deposits in a weak wind. However, tephra fall deposits formed in strong winds do not show improved sorting with distance and proximal deposits are typically somewhat better sorted than the model calculations. Differences are attributed to the influence of wind which disperses particles further than predicted in our model and which has an increasing influence as particle size decreases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00430779
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  • 6
    Electronic Resource
    Electronic Resource
    Preparation of solid and hollow diamond fibres and the potential for diamond fibre metal matrix composites (1994)
    Springer
    Journal of materials science 13 (1994), S. 247-249 
    Details
    ISSN: 1573-4811
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00571765
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  • 7
    Electronic Resource
    Electronic Resource
    Variable-order variable-step algorithms for second-order systems. Part 2: The codes (1988)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 26 (1988), S. 55-80 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In a companion paper, Thomas and Gladwell,4 the authors designed a class of multistage methods for second-order systems of ordinary differential equations (ODE's), together with local error estimators based on embedding techniques. Here we provide a set of subroutines implementing the algorithms and discuss our numerical experience with the resulting codes.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620260105
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  • 8
    Electronic Resource
    Electronic Resource
    Variable-order variable-step algorithms for second-order systems. Part 1: The methods (1988)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 26 (1988), S. 39-53 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We develop a new class of multistage algorithms for second-order systems of ordinary differential equations (ODE's) based on methods by Zienkiewicz et al.13 Our new methods are designed to provide a set of efficient methods which can be used with local error estimators based on embedding techniques. In a companion paper, we provide a set of subroutines implementing the algorithms derived and a discussion of numerical experience with the resulting codes.
    Additional Material: 7 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620260104
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  • 9
    Electronic Resource
    Electronic Resource
    A single-step algorithm for oscillatory problems (1989)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 5 (1989), S. 113-120 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We consider a class of multistage single-step methods introduced by Zienkiewicz et al.1 and developed by Thomas and Gladwell.2 From this class, we derive methods which are particularly suitable for the numerical solution of oscillatory problems. We propose a particular pair of methods which permit local error estimation while retaining a ‘one-step’ mode of operation. We discuss the implementation of this pair for both linear and nonlinear problems, and illustrate the discussion with numerical results.
    Additional Material: 5 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630050208
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  • 10
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    Measurement of electroweak parameters fromZ decays into fermion pairs (1990)
    Springer
    Details
    Publication Date: 1990-09-01
    Print ISSN: 0170-9739
    Electronic ISSN: 1431-5858
    Topics: Physics
    Published by Springer
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