In this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds, which avoids from using starting values. An existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the Gronwall inequality. Application of the method is demonstrated for solving the ...

The multidimensional exponential Levy equations are used to describe many stochastic phenomena such as market fluctuations. Unfortunately in practice an exact solution does not exist for these equations. This motivates us to propose a numerical solution for n-dimensional exponential Levy equations by block pulse functions. We compute the jump integral of each block pulse function and present a ...

we propose a wavelet based regression function estimator for the estimation of the regression function for a sequence of ?-missing random variables with a common one-dimensional probability density function. some asymptotic properties of the proposed estimator based on block thresholding are investigated. it is found that the estimators achieve optimal minimax convergence rates over large class...

The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. The paper contains definitions and a theorem necessary to transfer some basic knowledge of the classical topology to finite topological spaces. The method is based on subdividing the given set into blocks of simple cell...

Purpose: The present study examined selected kinematic characteristics analysis of knee and ankle joints during block jump in elite junior volleyball players. Methods: Thirty male junior elite volleyball players (Mean±SD age: 18.14±1.12 y, height: 197.10±3.16 cm, sports history: 4.39±0.95 y, & weight: 771.20±59.83 N) participated in this study. A time-synchronized 5-camera sampling at 100 Hz w...

objectives: this study aimed to assess the effect of storage time and temperature on dimensional stability of impressions made with cavex outline zinc oxide impression paste. materials and methods: a round stainless steel mold with five grooves (three horizontal and two vertical) was used in this in-vitro experimental study. cavex outline impression paste was prepared according to the manufactu...

In this paper, we propose an expert-system based parallel multi-1-dimensional block matching algorithm (ESPM-1D-BMA) for motion estimation (ME). Instead of the conventional 2D block matching, we employ the parallel multi-1D blocks matching to improve the computing speed. To improve the ME accuracy, we design a knowledge base and inference engine to determine the true motion vector (MV) from the...

A few faulty nodes can an n-dimensional mesh or torus network unsafe for fault-tolerant routing methods based on the block fault model, where the whole system space) forms a fault block. A new concept, called extended local safety information in meshes or tori, is proposed to guide faulttolerant routing, and classifies fault-free nodes inside 2-dimensional planes. Many nodes globally marked as ...