This paper describes a set of computer programs for Chinese corpus analysis. These programs include (1) extraction of different characters, bigrams and words; (2) word segmentation based on bigram, maximal-matching and the combined technique; (3) identification of special terms; (4) Chinese concordancing; (5) compiling collocation statistics and (6) evaluation utilities. These programs run on t...

In this paper a numerical technique is presented for the solution of fuzzy linear Volterra-Fredholm-Hammerstein integral equations. This method is a combination of collocation method and radial basis functions(RBFs).We first solve the actual set are equivalent to the fuzzy set, then answer 1-cut into the equation. Also high convergence rates and good accuracy are obtain with the propose method ...

In this paper, a computational technique is proposed for solving a nonlinear backward stochastic differential equation involving standard Brownian motion. The method is presented via the block pulse functions in combination with the collocation method. With using this approach, the nonlinear backward stochastic differential is reduced to a stochastic nonlinear system of 2m equations and 2m unkn...

A numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value problems. The method is fourth order convergent. We use the quesilinearization technique to reduce the nonlinear problems to linear problems and use B-spline collocation method, which leads to a seven nonzero bands linear system. Illustrative example is included ...

This paper describes the use of WordNet in a new technique for collocation extraction. The approach is based on restrictions on the possible substitutions for synonyms within candidate phrases. Following a general discussion of collocations and their applications, current extraction methods are briefly described. This is followed by a detailed description of the new approach and results and eva...

In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional differential operators defined in terms of Caputo sense and reduces this problem to a system of fractional differential equations (FDEs) that is called twopoint boundary value (TPBV) problem. An approximate solution of this problem is constructed by using the Legendre-Gauss...

In this paper, biochemical reaction problem is given in the form of a system of non-linear differential equations involving Caputo fractional derivative. The aim is to suggest an instrumental scheme to approximate the solution of this problem. To achieve this goal, the fractional derivation terms are expanded as the elements of shifted Legendre scaling functions. Then, applying operational matr...

This paper details Cengage Leaning’s TREC 2010 Session track submission and our efforts to improve retrieval performance over a user’s session. We use a number of different techniques to achieve this goal including query term weighting, query expansion and re-ranking. In this paper we detail these techniques and the results of our submission. Using our query term weighting technique combined wi...

This paper describes an efficient algorithm to solve integral equations with complicated kernels. The algorithm can handle both piece-wise constant and high-order elements in the collocation method and the Galerkin’s method. A general and extensible fast integral equation solver has been developed using the c++ generic programming technique. Numerical experiments show that the memory usage and ...

Some of the most widely used algorithms for two-point boundary value ODEs, namely nite diierence and collocation methods and standard multiple shooting, proceed by setting up and solving a structured system of linear equations. It is well known that the linear system can be set up eeciently in parallel; we show here that a structured orthogonal factorization technique can be used to solve this ...