MOC
2002
13 years 4 months ago
2002
This paper is concerned with the stability of rational one-step approximations of C0 semigroups. Particular emphasis is laid on long-term stability bounds. The analysis is based on...
MOC
2002
13 years 4 months ago
2002
As in the earlier paper with this title, we consider a question of Byrnes concerning the minimal length N(m) of a polynomial with all coeffi
MOC
2002
13 years 4 months ago
2002
An essential part of any boundary value problem is the domain on which the problem is defined. The domain is often given by scanning or another digital image technique with limited...
MOC
2002
13 years 4 months ago
2002
We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space ...
MOC
2002
13 years 4 months ago
2002
MOC
2002
13 years 4 months ago
2002
Abstract. We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class...
MOC
2002
13 years 4 months ago
2002
The authors study the Hilbert Transform on the real line. They introduce some polynomial approximations and some algorithms for its numerical evaluation. Error estimates in uniform...
MOC
2002
13 years 4 months ago
2002
A new upper bound is provided for the L-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. T...
MOC
2002
13 years 4 months ago
2002
We answer a question left open in an article of Coppersmith and Davenport which proved the existence of polynomials whose powers are sparse, and in particular polynomials whose squ...
MOC
2002
13 years 4 months ago
2002
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...