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MOC
2000
100views more  MOC 2000»
13 years 5 months ago
Monotonicity preservation on triangles
It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate f...
Michael S. Floater, Juan Manuel Peña
MOC
2000
68views more  MOC 2000»
13 years 5 months ago
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Conservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equation admits mo...
Laurent Gosse, François James
MOC
2000
109views more  MOC 2000»
13 years 5 months ago
A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...
M. Farhloul, S. Nicaise, L. Paquet
MOC
2000
77views more  MOC 2000»
13 years 5 months ago
Locking-free finite elements for the Reissner-Mindlin plate
Two new families of Reissner-Mindlin triangular finite elements are analyzed. One family, generalizing an element proposed by Zienkiewicz and Lefebvre, approximates (for k 1) the ...
Richard S. Falk, Tong Tu
MOC
2000
78views more  MOC 2000»
13 years 5 months ago
Tables of curves with many points
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...
Gerard van der Geer, Marcel van der Vlugt
MOC
2000
181views more  MOC 2000»
13 years 5 months ago
Newton's method for overdetermined systems of equations
Abstract. Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. I...
Jean-Pierre Dedieu, Mike Shub
MOC
2000
75views more  MOC 2000»
13 years 5 months ago
Multihomogeneous Newton methods
Abstract. We study multihomogeneous analytic functions and a multihomogeneous Newton's method for finding their zeros. We give a convergence result for this iteration and we s...
Jean-Pierre Dedieu, Mike Shub
MOC
2000
83views more  MOC 2000»
13 years 5 months ago
A hierarchical method for obtaining eigenvalue enclosures
We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The metho...
E. B. Davies
MOC
2000
94views more  MOC 2000»
13 years 5 months ago
A new summation method for power series with rational coefficients
Abstract. We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are ration...
Silvia Dassié, Marco Vianello, Renato Zanov...