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MOC
2010
12 years 11 months ago
Analysis of spectral approximations using prolate spheroidal wave functions
Abstract. In this paper, the approximation properties of the prolate spheroidal wave functions of order zero (PSWFs) are studied, and a set of optimal error estimates are derived f...
Li-lian Wang
MOC
2010
12 years 11 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis
MOC
2010
12 years 11 months ago
The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets
Abstract. Multiwavelets and multiframelets are of interest in several applications such as numerical algorithms and signal processing, due to their desirable properties such as hig...
Bin Han
MOC
2010
12 years 11 months ago
Factorization with genus 2 curves
The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower...
Romain Cosset
MOC
2010
12 years 11 months ago
On the numerical evaluation of Fredholm determinants
Some significant quantities in mathematics and physics are most naturally expressed as the Fredholm determinant of an integral operator, most notably many of the distribution funct...
Folkmar Bornemann
MOC
2010
12 years 11 months ago
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
In this paper, we propose an original optimization approach for reconstructing interface changes of a conductivity inclusion from measurements of eigenvalues and eigenvectors asso...
Habib Ammari, Elena Beretta, Elisa Francini, Hyeon...
MOC
2010
12 years 11 months ago
Computation of conformal representations of compact Riemann surfaces
We find a system of two polynomial equations in two unknowns, whose solution allows us to give an explicit expression of the conformal representation of a simply connected three-sh...
Guillermo López Lagomasino, Domingo Pestana...
MOC
2010
12 years 11 months ago
Dynamical systems method for solving nonlinear equations with monotone operators
A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopp...
N. S. Hoang, Alexander G. Ramm
MOC
2010
12 years 11 months ago
A numerical method for fractal conservation laws
: We consider a fractal scalar conservation law, that is to say a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to appr...
Jérôme Droniou
MOC
2010
12 years 11 months ago
Integral deferred correction methods constructed with high order Runge-Kutta integrators
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...