We describe a Monte Carlo method for the numerical computation of the principal eigenvalue of the Laplace operator in a bounded domain with Dirichlet conditions. It is based on th...
This paper introduces a method to extract `Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (i.e. the s...
Martin Reuter, Franz-Erich Wolter, Niklas Peinecke
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
: For an infinite-horizon optimal control problem, the cost does not, in general, converge. The classical work-around to this problem is to introduce a discount or "forgetting...
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...