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MOC
2002
70views more  MOC 2002»
13 years 5 months ago
Solving norm equations in relative number fields using S-units
Abstract. In this paper, we are interested in solving the so-called norm equation NL/K(x) = a, where L/K is a given arbitrary extension of number fields and a a given algebraic num...
Denis Simon
MOC
2002
135views more  MOC 2002»
13 years 5 months ago
A fast spherical harmonics transform algorithm
The spectral method with discrete spherical harmonics transform plays an important role in many applications. In spite of its advantages, the spherical harmonics transform has a dr...
Reiji Suda, Masayasu Takami
MOC
2002
90views more  MOC 2002»
13 years 5 months ago
Explicit bounds and heuristics on class numbers in hyperelliptic function fields
Abstract. In this paper, we provide tight estimates for the divisor class number of hyperelliptic function fields. We extend the existing methods to any hyperelliptic function fiel...
Andreas Stein, Edlyn Teske
MOC
2002
127views more  MOC 2002»
13 years 5 months ago
The dynamical behavior of the discontinuous Galerkin method and related difference schemes
We study the dynamical behavior of the discontinuous Galerkin finite element method for initial value problems in ordinary differential equations. We make two different assumptions...
Donald J. Estep, Andrew M. Stuart
MOC
2002
75views more  MOC 2002»
13 years 5 months ago
Quincunx fundamental refinable functions and quincunx biorthogonal wavelets
Abstract. We analyze the approximation and smoothness properties of quincunx fundamental refinable functions. In particular, we provide a general way for the construction of quincu...
Bin Han 0003, Rong-Qing Jia