103
Voted
MOC
2010
14 years 9 months ago
2010
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...
117
click to vote
MOC
2010
14 years 9 months ago
2010
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...
MOC
2010
14 years 9 months ago
2010
: 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...
106
click to vote
MOC
2010
14 years 9 months ago
2010
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...
110
click to vote
MOC
2010
14 years 9 months ago
2010
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...
102
Voted
MOC
2010
14 years 9 months ago
2010
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...
MOC
2010
14 years 9 months ago
2010
MOC
2010
14 years 9 months ago
2010
104
click to vote
MOC
2010
14 years 9 months ago
2010
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...
MOC
2010
14 years 9 months ago
2010
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.