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The classification problem in the image processing field is an important challenge, so that in the process image pixels are separated into previously determined classes according to their features. Th...
The classification problem in the image processing field is an important challenge, so that in the process image pixels are separated into previously determined classes according to their features. Th...
A grid-free scheme for solving quasi-one-dimensional, isentropic, compressible flow in the subsonic regime is developed with a view toward its eventual generalization to three-dimensional turbulent co...
Ultracold atoms in optical lattices can be used to simulate strongly correlated many-body models that are central to the understanding of condensed matter physics. This simulation has attracted a lot ...
We consider one-dimensional Hamiltonian systems whose ground states display symmetry-protected topological order. We show that ground states within the topological phase cannot be connected with each ...
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
This paper investigates front propagation in random media for a free boundary problem arising in combustion theory. We show the existence of asymptotic travelling waves solutions with effective speedd...
We consider Navier-Stokes equations for compressible viscous fluids in one dimension. It is a well known fact that if the initial datum are smooth and the initial density is bounded by below by a posi...
For a class of one-dimensional reaction-diffusion equations, we establish the existence of generalized fronts, as recently defined by Berestycki and Hamel. We also prove uniform nondegeneracy estimate...
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deter...
This paper is concerned with various aspects of the simulation of one-dimensional reflected (or regulated) Brownian motion. The main result shows that the discretization error associated with the Eule...
A prime focus in the development of computational fluid dynamics (CFD) for aeronautics has been the simulation of transonic and supersonic flows which generally contain shock waves, contac...
This paper follows up on the author’s recent paper “The Construction of Discretely Conservative Finite Volume Schemes that also Globally Conserve Energy or Enthalpy”. In the case of the gas dynamics...

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