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MOC
2002
89views more  MOC 2002»
13 years 5 months ago
Asymptotic estimation of Gaussian quadrature error for a nonsingular integral in potential theory
This paper considers the n-point Gauss-Jacobi approximation of nonsingular integrals of the form 1 -1
David M. Hough
MOC
2002
86views more  MOC 2002»
13 years 5 months ago
On the step-by-step construction of quasi--Monte Carlo integration rules that achieve strong tractability error bounds in weight
We develop and justify an algorithm for the construction of quasi
Ian H. Sloan, Frances Y. Kuo, Stephen Joe
MOC
2002
108views more  MOC 2002»
13 years 5 months ago
Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity
The multigrid V -cycle algorithm using the Richardson relaxation scheme as the smoother is studied in this paper. For second-order elliptic boundary value problems, the contraction...
Susanne C. Brenner
MOC
2002
99views more  MOC 2002»
13 years 5 months ago
The irreducibility of some level 1 Hecke polynomials
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
D. W. Farmer, K. James
MOC
2002
92views more  MOC 2002»
13 years 5 months ago
Error indicators for the mortar finite element discretization of the Laplace equation
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
Christine Bernardi, Frédéric Hecht