We present a numerical method for reconstructing the coefficient in a wave equation from a single measurement of partial Dirichlet boundary data. The original inverse problem is converted to a nonlinear integral differential equation, which is solved by an iterative method. At each iteration, one linear second-order elliptic problem is solved to update the reconstruction of the coefficient, the...

This work deals with fitting 2D and 3D implicit polynomials (IPs) to 2D curves and 3D surfaces, respectively. The zero-set of the polynomial is determined by the IP coefficients and describes the data. The polynomial fitting algorithms presented in this paper aim at producing polynomials that are robust to coefficient errors. Special emphasis is given here to errors due to coefficient quantizat...

A systematic way of extending a general fixed-stepsize multistep formula to a minimum storage variable-stepsize formula has been discovered that encompasses fixed-coefficient (interpolatory), variable-coefficient (variable step), and fixed leading coefficient as special cases. In particular, it is shown that the " interpolatory" stepsize changing technique of Nordsieck leads to a truly variable...

The relationship between economic growth and energy consumption is one of the hot topics in economic research. There are many literatures concern about this topic from theoretical and empirical viewpoint. This paper applies panel unit root, heterogeneous panel cointegration and production function to investigate the relationship between energy consumption and economic growth within a multivaria...

We consider the linear growth and fragmentation equation ∂ ∂t u(x, t) + ∂ ∂x ( τ(x)u ) + β(x)u = 2 ∫ ∞ x β(y)κ(x, y)u(y, t) dy, with general coefficients τ, β and κ. Under suitable conditions (see [17]), the first eigenvalue represents the asymptotic growth rate of solutions, also called the fitness or Malthus coefficient in population dynamics. This value is of crucial importance in understand...

Spearman’s rank correlation coefficient (denoted here by rs) is a nonparametric (distribution-free) rank statistic proposed by Charles Spearman as a measure of the strength of the associations between two variables. It is a measure of a monotone association that is used when the distribution of the data makes Pearson’s correlation coefficient undesirable or misleading. Spearman’s coefficient is...

T his paper investigates the gain of bilateral trade between China and U.S. in manufacturing sectors when both countries play a role in asymmetric (biased) growth of  international trade. Our model includes a special case of Biased Growth Theory in international trade. We collected labor productivity, export and import data by using classification of manufacturing industries, for U.S...

A thermophilic bacillus with minimal, optimal, and maximal growth temperatures of 40, 64.5, and 72 C, respectively, was isolated from soil. Biochemical and morphological studies place the isolate in group 1 of the classification of Walker and Wolf. After adaption to nitrate broth, the temperature coefficient for growth was found to be 20,400 cal/mol. When the temperature coefficient for growth ...