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MOC
1998
107views more  MOC 1998»
13 years 11 months ago
A new parallel chasing algorithm for transforming arrowhead matrices to tridiagonal form
Rutishauser, Gragg and Harrod and finally H.Y. Zha used the same class of chasing algorithms for transforming arrowhead matrices to tridiagonal form. Using a graphical theoretical...
Suely Oliveira
MOC
1998
65views more  MOC 1998»
13 years 11 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
MOC
1998
144views more  MOC 1998»
13 years 11 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu
MOC
1998
86views more  MOC 1998»
13 years 11 months ago
Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions
This paper contains error estimates for covolume discretizations of Maxwell’s equations in three space dimensions. Several estimates are proved. First, an estimate for a semi-dis...
R. A. Nicolaides, D.-Q. Wang
MOC
1998
108views more  MOC 1998»
13 years 11 months ago
Numerical conformal mapping based on the generalised conjugation operator
Abstract. An iterative procedure for numerical conformal mapping is presented which imposes no restriction on the boundary complexity. The formulation involves two analytically equ...
Bao Cheng Li, Stavros Syngellakis
MOC
1998
83views more  MOC 1998»
13 years 11 months ago
A sweep-plane algorithm for generating random tuples in simple polytopes
Abstract. A sweep-plane algorithm of Lawrence for convex polytope computation is adapted to generate random tuples on simple polytopes. In our method an affine hyperplane is swept ...
Josef Leydold, Wolfgang Hörmann
MOC
1998
66views more  MOC 1998»
13 years 11 months ago
Nonconforming finite element approximation of crystalline microstructure
Abstract. We consider a class of nonconforming finite element approximations of a simply laminated microstructure which minimizes the nonconvex variational problem for the deforma...
Bo Li, Mitchell Luskin
MOC
1998
111views more  MOC 1998»
13 years 11 months ago
The approximation power of moving least-squares
A general method for near-best approximations to functionals on Rd, using scattered-data information is discussed. The method is actually the moving least-squares method, presented...
David Levin
MOC
1998
86views more  MOC 1998»
13 years 11 months ago
Vector subdivision schemes and multiple wavelets
We consider solutions of a system of refinement equations written in the form φ = α∈Z a(α)φ(2 · −α), where the vector of functions φ = (φ1, . . . , φr)T is in (Lp(R))...
Rong-Qing Jia, Sherman D. Riemenschneider, Ding-Xu...
MOC
1998
95views more  MOC 1998»
13 years 11 months ago
The Trotter-Kato theorem and approximation of PDEs
Abstract. We present formulations of the Trotter-Kato theorem for approximation of linear C0-semigroups which provide very useful framework when convergence of numerical approximat...
Kazufumi Ito, Franz Kappel