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MOC
2010
13 years 6 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
13 years 6 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
13 years 6 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
13 years 6 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...
MOC
2010
13 years 6 months ago
Entropy-satisfying relaxation method with large time-steps for Euler IBVPs
This paper could have been given the title: "How to positively and implicitly solve Euler equations using only linear scalar advections." The new relaxation method we pr...
Frédéric Coquel, Quang Long Nguyen, ...
MOC
2010
13 years 6 months ago
Optimizing the double description method for normal surface enumeration
Abstract. Many key algorithms in 3-manifold topology involve the enumeration of normal surfaces, which is based upon the double description method for finding the vertices of a con...
Benjamin A. Burton
MOC
2010
13 years 6 months ago
Advances in the theory of box integrals
David H. Bailey, Jonathan M. Borwein, Richard E. C...
MOC
2010
13 years 6 months ago
On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
In this paper we consider a class of regularized Gauss-Newton methods for solving nonlinear inverse problems for which an a posteriori stopping rule is proposed to terminate the it...
Qinian Jin
MOC
2010
13 years 6 months ago
On a family of Thue equations of degree 16
We consider a parameterized family of Thue equations of degree 16. By reducing this family to a system of Pell equations and linear relations, we are able to solve this family.
Volker Ziegler