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Abstract: We prove that a sequence of averaged quantities $\int_{\R^m}h_n(x,p)\rho(p)dp$, $n\in \N$, is strongly precompact in $L^1_{loc}(\R^d)$, where $\rho\in C_0(\R^m)$, and $h_n\in L^p(\R^d\times ...
Late-time relaxation limits of nonlinear hyperbolic systems. A general framework
nonlinear hyperbolic systems A general framework
2010/11/19
We investigate the late-time asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws containing stiff source term. On one hand, we determine the relevant asymptotic expa...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...
Computing Networks: A General Framework to Contrast Neural and Swarm Architectures
Computing Networks Contrast Neural General Framework Swarm Architectures
2010/4/1
Computing Networks (CNs) are defined. These are used to generalize neural and swarm architectures, namely artificial neural networks, ant colony optimization, and particle swarm optimization. The desc...
Computing Networks: A General Framework to Contrast Neural and Swarm Architectures
Computing Networks Swarm Architectures Contrast Neural
2010/4/1
Computing Networks (CNs) are defined. These are used to generalize neural and swarm architectures, namely artificial neural networks, ant colony optimization, and particle swarm optimization. The desc...
Time-Periodic Solutions of the Einstein's Field Equations I: general framework
Einstein’s field equations time-periodic solution Riemann curvature tensor singularity event horizon
2018/4/20
In this paper, we develop a new algorithm to find the exact solutions of the Einstein’s field equations.Time-periodic solutions are constructed by using the new algorithm. The singularities of the tim...