In this paper we propose a meshfree technique for the numerical solution of the two dimensional Burger’s equation. Collocation method using the Radial Basis Functions (RBFs) is coupled with first order accurate finite difference approximation. Different types of RBFs are used for this purpose. Performance of the proposed method is successfully tested in terms of various error norms. In the case...

Classical best-rst search algorithms like A* require space exponential in length of the solution path. To overcome this limitation algorithms like IDA* and RBFS regenerate parts of problem space trading space for time. These algorithms are probably too modest using only a tiny amount of memory today's computers can ooer. We present a novel, RBFS based algorithm which uses all available memory. ...

Artificial Intelligence search algorithms search discrete systems. To apply such algorithms to continuous systems, such systems must first be discretized, i.e. approximated as discrete systems. Action-based discretization requires that both action parameters and action timing be discretized. We focus on the problem of action timing discretization. After describing an -admissible variant of Korf...

Classical best-first search algorithms like A* require space exponential in length of the solution path. To overcome this limitation algorithms like IDA* and RBFS regenerate parts of problem space trading space for time. These algorithms are probably too modest using only a tiny amount of memory today’s computers can offer. We present a novel, RBFS based algorithm which uses all available memor...

Machine learning has been successfully applied to various fields of scientific computing in recent years. In this work, we propose a sparse radial basis function neural network method solve elliptic partial differential equations (PDEs) with multiscale coefficients. Inspired by the deep mixed residual method, rewrite second-order problem into first-order system and employ multiple networks (RBF...

This paper presents a meshless element-free Galerkin method coupled with the radial basis functions (RBFs)-based level set algorithm for topology optimization. The approach provides structural response and corresponding sensitivities at nodal/grid points, solution of RBFs-based formulation updates geometry accordingly. Thus, this unique novel allows optimization problems using single discretiza...

The determination of the land geoid and marine involves different data sets calculation strategies. It is a hot issue at present to construct unified land–ocean quasi-geoid by fusing multi-source in coastal areas, which great significance construction integration. Classical integral algorithms such as Stokes theory find it difficult deal with heterogeneous gravity signals, so scholars have grad...

The beta-subgroup of the Proteobacteria has been shown to be important in aquatic habitats and was investigated in depth here by molecular 16S rRNA techniques in biofilms of the Elbe River and its polluted tributary, the Spittelwasser River. The bacterial 16S rRNA genes were cloned from each site, screened for beta-proteobacterial clones and sequenced. River biofilm clones from both rivers grou...