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  • 06B20  (1)
  • 65C99  (1)
  • 1990-1994  (2)
  • 1930-1934
  • 1
    Electronic Resource
    Electronic Resource
    A deterministic particle-method solving the linearized Boltzmann equation (1990)
    Springer
    Computing 43 (1990), S. 199-207 
    Details
    ISSN: 1436-5057
    Keywords: 65C99 ; Particle methods ; linearized Boltzmann equation ; Gauss integration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In [3] ist eine Partikelmethode vorgestellt, die unendlich viele Partikel benötigt. Zu ihrer numerischen Implementierung muß der numerisch relevante Träger abgeschätzt werden. Um dies zu vermeiden, führen wir über die Gasß-Integration eine a priori endliche Form ein und stellen numerische Ergebnisse für verschiedene Testbereiche vor.
    Notes: Abstract In [3] a particle method is proposed which acts on an infinite grid. Hence, for a numerical application an estimation of the numerically relevant support is necessary. To overcome this difficulty we suggest a finite grid based on Gaussian integration formulas and present numerical results of different test examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02242917
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  • 2
    Electronic Resource
    Electronic Resource
    Generalizing semidistributivity (1993)
    Springer
    Order 10 (1993), S. 77-92 
    Details
    ISSN: 1572-9273
    Keywords: 06B05 ; 06B20 ; Doubling construction ; semidistributive lattices ; k-semidistributivity ; context ; doubling classes ; pseudovariety
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A latticeL is called congruence normal if it can be generated by doubling of convex sets starting with the one-element lattice. In the special case of intervals, the lattice is called bounded. It has been proven thatL is bounded if and only ifL is congruence normal and semidistributive. In this paper we study the connection between certain classes of convex sets and generalized semidistributive laws. These so-called doubling classes are pseudovarieties which can be described by implications as well as by forbiden substructures. In the end, we examine the structure of the lattice of all doubling classes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01108710
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