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MOC
1998
65views more  MOC 1998»
14 years 9 months ago
Exceptional units in a family of quartic number fields
Abstract. We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a oneparameter family of polynomials w...
Gerhard Niklasch, Nigel P. Smart
43
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MOC
1998
60views more  MOC 1998»
14 years 9 months ago
Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws
The existence and uniqueness of the Lipschitz continuous traveling wave of Godunov’s scheme for scalar conservation laws are proved. The structure of the traveling waves is studi...
Haitao Fan
MOC
1998
76views more  MOC 1998»
14 years 9 months ago
Quadrature formulae using zeros of Bessel functions as nodes
A gaussian type quadrature formula, where the nodes are the zeros of Bessel functions of the first kind of order α ( (α) > −1), was recently proved for entire functions of ...
Riadh Ben Ghanem
MOC
1998
64views more  MOC 1998»
14 years 9 months ago
Trapezoidal and midpoint splittings for initial-boundary value problems
In this paper we consider various multi-component splittings based on the trapezoidal rule and the implicit midpoint rule. It will be shown that an important requirement on such me...
Willem Hundsdorfer
MOC
1998
87views more  MOC 1998»
14 years 9 months ago
Tables of unit groups and class groups of quintic fields and a regulator bound
Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fi...
Michael E. Pohst, K. Wildanger