An Asymptotic Preserving Method for Linear Systems of Balance Laws Based on Galerkin’s Method

An Asymptotic Preserving Method for Linear Systems of Balance Laws Based on Galerkin's Method

We apply the concept of Asymptotic Preserving (AP) schemes [14] to the linearized p−system and discretize the resulting elliptic equation using standard continuous Finite Elements instead of Finite Differences. The fully discrete method is analyzed with respect to consistency, and we compare it numerically with more traditional methods such as Implicit Euler’s method.

A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

In this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. Also necessary and sufficient conditions for existenceof solution are given. Some numerical examples illustrate the efficiencyof the method.

An Effective Method for Utility Preserving Social Network Graph Anonymization Based on Mathematical Modeling

In recent years, privacy concerns about social network graph data publishing has increased due to the widespread use of such data for research purposes. This paper addresses the problem of identity disclosure risk of a node assuming that the adversary identifies one of its immediate neighbors in the published data. The related anonymity level of a graph is formulated and a mathematical model is...

Defuzzification method for solving fuzzy linear systems

An asymptotic-preserving Monte Carlo method for the Boltzmann equation

In this work, we propose an asymptotic-preserving Monte Carlo method for the Boltzmann equation that is more efficient than the currently available Monte Carlo methods in the fluid dynamic regime. This method is based on the successive penalty method [25], which is an improved BGK-penalization method originally proposed by Filbet-Jin [9]. Here we propose the Monte-Carlo implementation of the me...