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Heat equation is the model of many real-world simulation problems. This paper presents a method for solving large-scale three-dimensional heat equation on CUDA. The implicit differential method is used to discretize the equation and the preconditioned Conjugate Gradient algorithm is applied to solve the discretized equation. The implementing methods for the sparse matrix-vector multiplication and...
Information reconstruction always uses some kinds of interpolation methods and its accuracy can be improved by using multiple data with different dimensions, resolutions or types. Sequential Gaussian co-simulation (COSGSIM) has been a widely used geostatistical interpolation method and is introduced into other fields for prediction and reconstruction in recent years, which can estimate unknown values...
Combining with variational method and lower and upper solutions, we get a quasilinearization method which construct an iterative scheme converging to a solution of a nonlinear fourth-order problem involving the p -Laplacian. At the same time, the result of K -th order convergence for the nonlinear fourth-order problem is obtained via the idea of Taylors approximation.
With the rapid development of electric technology, the embedded system is becoming increasingly humanistic and active. It requires more advanced and humanistic technology to provide a more thoughtful and comprehensive graphical user interface for customers, both triggering their desire for using and providing pleasure in further operating. This paper presents a new kind of GUI (Graphical User Interface)...
Mobile robot Simultaneous Localization and Mapping (SLAM) problem is one of the most active research areas in robotics. In the research and simulation of SLAM, MATLAB-based simulators are widely used due to their comprehensive functionalities and simple usage. In this paper, the main open source MATLAB-based simulators for SLAM and their properties are listed. Two representative ones are concretely...
Binary Translation is a migration technique that allows software to run on other machines achieving near native code performance. The paper proposed an abstract machine-based dynamic translation technique in Java processors. The technique employs the “mock execution” of the hardware abstract machine (HAM) to identify and analyze the dependency among Java programs, dynamically translate Java bytecode...
In the post-genomic era, discovering relationships between genes and further constructing gene regulatory networks (GRNs) is an important problem in system biology. In case the GRNs model for a cell is known, we can simulate the gene expression to predict future states of the cell and discover new drugs based on the relationships in the GRNs. In this paper, our aim is to construct a better gene regulatory...
The implementation and optimization of the traditional CLG (Combined local and global) algorithm is always proposed in the gray model. It doesn't make full use of color information. The same global smoothness factor doesn't facilitate discontinuity preservation. This paper, firstly, improves the traditional Gradient Constraint Equation; then combines Horn Schunk algorithm and Lucas Kanade algorithm...
Stress size and distribution of the rubber components have been calculated by ABAQUS of rubber-metal coupling work in different speed and torque. An approximate quadratic curve has been found to suit the relationship between the speed and the stress under two different conditions. A solid foundation has been established to assess the rubber-metal coupling lifetime and failure form. The results also...
Following the Rosedfeld approach in investigating convex fuzzy sets, two new kinds of definitions of convex fuzzy sets are proposed in this paper. First, by the use of the relations between fuzzy points and fuzzy subsets, the definition of a convex (s,t]-fuzzy sets is introduced and their properties are discussed. The acceptable non-trivial concepts obtained in this manner are the convex (∈,∈νq) -fuzzy...
This paper presents an approach that uses conformal mapping to flattening a 3D surface to 2D plane. We propose an algorithm by traversing the mesh in a region growing way. The algorithm is greedy and begins with a seed triangle which can be chosen freely. In each operation, we develop a piecewise linear mapping function that is conformal. In addition, at first step, we initialize the planar triangle...
In order to guarantee the security of data exchanged between two peers in Peer-to-Peer system, this paper comes up with an Identity-based authenticated key agreement from bilinear pairings and uses BAN logic to prove the protocol's security. Compared with other existing protocols, the proposed Identity-based authenticated key protocol seems more secure and efficient.
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