Now showing items 1-7 of 7

• #### Adiabatic invariant of the harmonic oscillator, complex matching and resurgence ﻿

(1997)
Article
Open Access
The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain ...
• #### A singular initial value problem to construct density-equalizing maps ﻿

(2011-05)
External research report
Open Access
The diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be ...
• #### A singular initial value problem to construct density-equalizing maps ﻿

(2011-12)
Article
Restricted access - publisher's policy
The diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be ...
• #### Bounded solutions of some nonlinear elliptic equations in cylindrical domains ﻿

(1997)
Article
Open Access
The existence of a (unique) solution of the second order semilinear elliptic equation $$\sum^{n}_{i,j=0}a_{ij}(x)u_{x_{i}x_{j}}+f(\nabla u,u,x)=0$$ with $x=(x_{0},x_{1},\dots, x_{n})\in (s_{0},\infty )\times \Omega '$, ...

(2000-12)
Article
Open Access
• #### On maps with given jacobians involving the heat equation ﻿

(2000)
Article
Open Access
In this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second ...
• #### On the diffusion algorithm for density-equalizing maps with piecewise constant initial data ﻿

(2012-07-15)
Article
Restricted access - publisher's policy
We mathematically analyze the diffusion-based algorithm to produce maps with a given Jacobian, introduced independently by M. T. Gastner and M. E. J. Newman (2004) and ourselves (2003), but in particular cases where the ...